Texas Go Math

Refer to our Texas Go Math Grade 6 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 6 Lesson 1.3 Answer Key Absolute Value.

Texas Go Math Grade 6 Lesson 1.3 Answer Key Absolute Value

Reflect

Question 1.
Analyze Relationships Which pairs of numbers have the same absolute value? How are these numbers related?
Answer:
Numbers which have same absolute value are opposites.
Therefore, their distance from 0 is equal!

Go Math Grade 6 Lesson 1.3 Answer Key Question 2.
Justify Reasoning Negative numbers are less than positive numbers. Does this mean that the absolute value of a negative number must be less than the absolute value of a positive number? Explain.
Answer:
By definition of absolute value, it’s distance from 0 on a number Line.
Therefore, absolute value of a negative number mustn’t be
Less than the absolute value of a positive number!

Question 3.
Communicate Mathematical Ideas Explain why the absolute value of a number will never be negative.
Answer:
Absolute value of number can not be negative since it is defined as a distance from 0.
Therefore, it can not be less than 0.

Your Turn

Question 4.
The temperature at night reached – 13°F Write an equivalent statement about the temperature using the absolute value of the number.
Answer:
We can just write it like:
Temperature at night reached negative |-13|°F

Find each absolute value.

Question 5.
|-12| _________
Answer:
The absolute value of – 12 equals 12
Therefore, we write:
|-12| = 12

Question 6.
|-91| _________
Answer:
The absolute value of 91 equals 91
Therefore, we write:
|91| = 91

Question 7.
|-55| _________
Answer:
The absolute value of – 55 equals 55
Therefore, we write:
|-55| = 55

Go Math Grade 6 Lesson 1.3 Absolute Value Answer Key Question 8.
|0| _________
Answer:
The absolute value of 0 equals 0
Therefore, we write:
|0| = 0

Question 9.
|88| _________
Answer:
The absolute value of 88 equals 88
Therefore, we write:
|88| = 88

Question 10.
|1| _________
Answer:
The absolute value of 1 equals 1
Therefore, we write:
|1| = 1

Reflect

Question 11.
Analyze Relationships Use absolute value to describe the relationship between a negative credit card balance and the amount owed.
Answer:
Let’s show it by an example:

We can simply say that if we owe $70
that means our credit card is $ – 70.
So, by usage of absolute value:

Amount we owe = absolute value of our balance( if we assume that balance is negative)

Texas Go Math Grade 6 Lesson 1.3 Guided Practice Answer Key

Question 1.
Vocabulary If a number is _____________, then the number is less than its absolute value. (Explore Activity 1)
Answer:
If a number is negative, then we can say that number is smaller than its absolute value

Go Math Absolute Value Lesson 1.3 Practice Answer Key Question 2.
If Ryan pays his car insurance for the year in full, he will get a credit of $28. If he chooses to pay a monthly premium, he will pay a $10 late fee for any month that the payment is late. (Explore Activity 1 Example 1)

a. Which of these values could be represented with a negative number? Explain.
Answer:
We can represent the $10 late fee as an absolute value.
For example, we can say that $10 will be subtracted from his bank account for the mouth that the payment is late.

b. Use the number line to find the absolute value of the amount from part a. ____________

Answer:

Question 3.
Leo, Gabrielle, Sinea, and Tomas are playing a video game. Their scores are described in the table below. (Explore Activity 2)

a. Leo wants to earn enough points to have a positive score. Does he need to earn more than 100 points or less than 100 points?
Answer:
Leo has to earn more than 100 points.

b. Gabrielle wants to earn enough points to not have a negative score.
Does she need to earn more points than Leo or less points than Leo?
Answer:
Gabrielle has 20 points more than Leo, So she has less than – 80 points.
This means that she has to be earn less points than Leo.

C. Sinea wants to earn enough points to have a higher score than Leo.
Does she need to earn more than 50 points or less than 50 points?
Answer:
Sinea has 50 points less than Leo, so she has less than – 150 points.
This means that she has to earn more than 50 point to be greater than Leo.

Essential Question Check-In

Question 4.
When is the absolute value of a number equal to the number?
Answer:
Absolute value of a number equal to the number only when the number is positive.

Question 5.
Financial Literacy Jacob earned $80 babysitting and deposited the money into his savings account. The next week he spent $85 on video games. Use integers to describe the weekly changes in Jacob’s savings account balance.
Answer:
Jacob firstly gained $80 and then he spent $85 so this is equivalent to expression:
$80 – $85 = -$5
Now we can conclude that Jacob owes:
|-$5| = $5
Jacob owes $5

Question 6.
Financial Literacy Sara’s savings account balance changed by $34 one week and by – $67 the next week. Which amount represents the greatest change?
Answer:
We can describe greatest change by biggest distance from 0 on a number line
Therefore, we can use absolute value to calculate it:
|-$67| = $67
$|34| = $31
We know that number 67 is greater than 34 so now we can conclude that greatest change is – $67.

Go Math 6th Grade Lesson 1.3 Answer Key Question 7.
Analyze Relationships Bertrand collects movie posters. The number of movie posters in his collection changes each month as he buys and sells posters. The table shows how many posters he bought or sold in the given months.

a. Which months have changes that can be represented by positive numbers? Which months have changes that can be represented by negative numbers? Explain.
Answer:
We can say that buying can be represented by positive value
and selling can be represented by negative value.
Therefore, we can write:
March and February can be represented by positive number
January and April can be represented by negative number

b. According to the table, in which month did the size of Bertrand’s poster collection change the most? Use absolute value to explain your answer.
Answer:
Here, we take numbers from table and compare them and get:
Number 12 is smaller than 20 which is smaller than 22 which is smaller than 28.
So now we know that 28 is greatest which means that:
Ir April the size of Bertrand’s poster changed the most!

Question 8.
Earth Science Death Valley has an elevation of – 282 feet relative to sea level. Explain how to use absolute value to describe the elevation of Death Valley as a positive integer.
Answer:
Here, we can use absoLute vaLue to determine depth of Death Valley:
|- 282| = 282 feet
We can say that Death Walley lies 282 feet below sea level.

Algebra Lesson 1.3 6th Grade Math Absolute Value Question 9.
Communicate Mathematical Ideas Lisa and Alice are playing a game. Each player either receives or has to pay play money based on the result of their spin. The table lists how much a player receives or pays for various spins.

a. Express the amounts in the table as positive and negative numbers.
Answer:
We can express received value as positive number and paid value as negative number.

b. Describe the change to Lisa’s amount of money when the spinner lands on red.
Answer:
When the spinner lands on red. Lisa has to pay $2.
We can say that her amount of money will change by -$2

Question 10.
Financial Literacy Sam’s credit card balance is less than – $36. Does Sam owe more or less than $36?
Answer:
Since Sam has less tIin – $36 card balance
It means that we go left from – $36 on a number line!
That implies that he owes more than $36.
Sam owes more than $36.

Question 11.
Financial Literacy Emily spent $55 from her savings on a new dress. Explain how to describe the change in Emily’s savings balance in two different ways.
Answer:
We can say that her balance change is: – $55

Other way would be say that her balance decreased by $55.

H.O.T. Focus on Higher Order Thinking

Question 12.
Make a Conjecture Can two different numbers have the same absolute value? If yes, give an example. If no, explain why not.
Answer:
Two different numbers can have same absolute value if they are opposites!
Yes, if they are opposites

Question 13.
Communicate Mathematical ideas Does -|-4| = |-(-4)|? Justify your answer.
Answer:
Note that absolute value will always give positive value!
– |- 4| = – 4
Right side is of equation is similar:
|- (- 4)| = 4
It is not equal.

6th Grade Go Math Lesson 1.3 Answer Key Question 14.
Critique Reasoning Angelique says that finding the absolute value of a number is the same as finding the opposite of the number. For example, |-5| = 5. Explain her error.
Answer:
Angelique said the truth is if the given number is negative
What if the given number is positive?
We know that the absolute value will give the same value back if the given number is positive
Therefore, it does not give the opposite for positive numbers!

Refer to our Texas Go Math Grade 6 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 6 Lesson 1.2 Answer Key Comparing and Ordering integers.

Texas Go Math Grade 6 Lesson 1.2 Answer Key Comparing and Ordering integers

Reflect

Question 1.
Analyze Relationships Explain what the data tell you about the win/loss records of the teams in the league.
Answer:
Given data tells us:

• Whether each team has more wins or more losses.
• It tells us which team has most wins and which least.

Your Turn

Graph the values in each table on a number line. Then list the numbers in order from greatest to least.

Question 2.


Answer:

Number 4 is greater than 3 which is greater than 0 which is greater than – 1
which is greater than – 2 which is greater than – 3 which is greater than
Therefore, we write:
4 > 3 > 0 > – 1 > – 2 > – 3 > – 5

Go Math Grade 6 Answer Key Pdf Lesson 1.2 Question 3.

Answer:

Number 9 is greater than 8 which is greater than 5 which is greater than 2
which is greater than 0 which is greater than – 1 which is greater than – 6
which is greater than – 10
Therefore, we write:
9 > 8 > 5 > 2 > 0 > – 1 > – 6 > – 10

Compare. Write > or <. Use the number line to help you.

Question 4.
– 10 ________ – 2
Answer:
Number – 10 is smaller than – 2
Therefore, we write:
– 10 < – 2

Question 5.
– 6 ________ 6
Answer:
Number – 6 is smaller than 6
Therefore, we write:
– 6 < 6

Question 6.
– 7 ________ – 8
Answer:
Number – 7 is greater than – 8
Therefore, we write:
– 7 > – 8

Question 7.
Write two inequalities to compare – 2 and – 18.
Answer:
Number – 18 is smaller than – 2
Therefore, we write:
– 18 < – 2

Go Math Lesson 1.2 6th Grade Answer Key Question 8.
Write two inequalities to compare 39 and – 39.
Answer:
Number – 39 is smaller than 396
Therefore, we write:
– 39 < 39

Texas Go Math Grade 6 Lesson 1.2 Guided Practice Answer Key

Question 1.
a. Graph the temperature for each city on the number line. (Explore Activity)

Answer:

b. Which city was coldest? ______________
Answer:
Coldest city was A

c. Which city was warmest? _____________
Answer:
Warmest city was B

List the numbers in order from least to greatest. (Example 1)

Question 2.
4, – 6, 0, 8, – 9, 1, – 3
Answer:
Number – 9 is smaller than – 6 which is smaller than – 3 which is smaller than 0
which is smaller than 1 which is smaller than 4 which is smaller than 8
Therefore, we write
– 9 < – 6 < – 3 < 0 < 1 < 4 < 8

Question 3.
– 65, 34, 7, – 13, 55, 62, – 7
Answer:
Number – 65 is smaller than – 13 which is smaller than – 7
which is smaller than 7 which is smaller than 34 which is smaller than 55 which is smaller than 62
Therefore, we write:
– 65 < – 13 < – 7 < 7 < 34 < 55 < 62

Go Math Grade 6 Lesson 1.2 Comparing and Ordering Integers Question 4.
Write two inequalities to compare – 17 and – 22.
Answer:
Number – 17 is greater than – 22
Therefore, we write:
– 17 > – 22

Number – 22 is smaller than – 17
Therefore, we write:
– 22 < – 17

Compare. Write < or >.

Question 5.
– 9 _______ 2
Answer:
Number – 9 is smaller than 2
Therefore, we write:
– 9 < 2

Question 6.
0 _______ 6
Answer:
Number 0 is smaller than 6
Therefore, we write:
0 < 6

Question 7.
3 _______ – 7
Answer:
Number 3 is greater than – 7
Therefore, we write:
3 > – 7

Question 8.
5 _______ – 10
Answer:
Number 5 is greater than – 10
Therefore, we write:
– 5 > – 10

Question 9.
– 1 _______ – 3
Answer:
Number – 1 is greater than – 3
Therefore, we write:
– 1 > – 3

Question 10.
– 8 _______ – 4
Answer:
Number – 8 is smaller than – 4
Therefore, we write:
– 8 < – 4

Lesson 1.2 Identifying Integers and Their Opposites Answer Key Question 11.
– 4 _______ 1
Answer:
Number – 4 is smaller than 1
Therefore, we write:
– 4 < 1

Question 12.
– 2 _______ – 6
Answer:
Number – 2 is greater than – 6
Therefore, we write:
– 2 > – 6

Question 13.
Compare the temperatures for the following cities. Write < or >.

a. Alexandria and Winona
Answer:
Temperature in Alexandria is – 3° and temperature in Winona is 2° so
Number – 3 is smaller than 2
Therefore we write:
– 3 < 2

b. Redwood Falls and International Falls
Answer:
Temperature in Redwood Falls is 0° and
temperature in International Falls is – 4° s0
Number 0 is greater than – 4
Therefore, we write:
0 > – 4

Essential Question Check-In

Question 14.
How can you use a number line to compare and order numbers?
Answer:
We can use number line to determine which number is greater or smaller!
The farthest number on left is least and farthest number on right is greatest!
Analogically, we can order all the other given numbers!

Question 15.
Multiple Representations A hockey league tracks the plus-minus records for each player. A plus-minus record is the difference in even strength goals for and against the team when a player is on the ice. The following table lists the plus-minus values for several hockey players.

a. Graph the values on the number line.

Answer:

b. Which player has the best plus-minus record? __________
Answer:
Viewing the number line we can determine which player has the best plus-minus record!
It is: E.Simpson

Astronomy The table lists the average surface temperature of some planets. Write an inequality to compare the temperatures of each pair of planets.

Go Math Grade 6 Answers Pdf Lesson 1.2 Question 16.
Uranus and Jupiter _____________________
Answer:
The temperature on Uranus is – 197°C and the temperature on Jupiter is – 110°C 50
Temperature – 197°C is smaller than – 110°C
Therefore, we write:
– 197°C < – 110°C

Question 17.
Mercury and Mars _____________________
Answer:
Temperature on Mercury is 167°C and temperature on Mars is – 65°C so
Temperature 167°C is greater than – 65°C
Therefore, we write:
167°C > – 65°C

Question 18.
Arrange the planets in order of average surface temperature from greatest to least. _____________________
Answer:
We write temperatures from table and separate theta in an order from greatest to smallest average surface temperature.

Temperature 167° is greater than 15° which is greater than – 65° which is greater than – 110°
which is greater than – 197° which is greater than 200°

Therefore, we write:
167° > 15° > 65° > – 110° > 197° > 200°

Question 19.
Represent Real-World Problems For a stock market project, five students each invested pretend money in one stock. They tracked gains and losses in the value of that stock for one week. In the following table, a gain is represented by a positive number and a loss is represented by a negative number.

Graph the students results on the number line. Then list them in order from least to greatest.

a. Graph the values on the number line.

Answer:

b. The results listed from least to greatest are ______________ .
Answer:
We can simply take a look to a graph above!
Just read student names connected with values from left to right
Doing that, we get:
– 5< – 2 < 2 < 4 < 7

Geography The table lists the lowest elevation for several countries. A negative number means the elevation is below sea level, and a positive number means the elevation is above sea level. Compare the lowest elevation for each pair of countries. Write < or >.

Go Math Grade 6 Lesson 1.2 Practice and Homework Question 20.
Argentina and the United States ______________
Answer:
Argentina has the lowest elevation of – 344 feet and United States has a Lowest elevation of – 281 feet.
Therefore, we can say:
Argentina’s lowest elevation is lower than Unites States lowest elevation as number – 344 is smaller than – 281 .
And we write:
– 344 < – 281
Argentina’s lowest elevation is lower than United State’s

Question 21.
Czech Republic and Hungary ______________
Answer:
Czech Republic has lowest elevation of 377 fret and Hungary has lowest elevation of 249 feet.
Therefore, we can say:
Czech Republic’s lowest elevation is higher than Hungary’s lowest elevation as number 377 is greater than 249 .
And We write:
377 > 249
Czech Republic’s Lowest elevation is higher than Hungary’s

Question 22.
Hungary and Argentina ______________
Answer:
Hungary has lowest elevation of 249 feet and Argentina has lowest eLevation of – 344 feet.

Therefore, we can say:
Hungary’s lowest elevation is higher than Argentina’s lowest elevation as number 249 is greater than – 344
And we write:
249 > – 344
Hungary’s lowest elevation is higher than Argentina’s!

Question 23.
Which country in the table has the lowest elevation? _______________
Answer:
When we are asked to find the lowest elevation of all countries, we just compare numbers connected to each country and find the smallest one and that will be our solution!

Therefore, we can say:
Number – 344 is smallest number of given ones!
So, country that has lowest elevation is Argentina.
Lowest elevation is Argentina!

Question 24.
Analyze Relationships There are three numbers a, b, and c, where a > b and b > c. Describe the positions of the numbers on a number line.
Answer:
If we have some random 3 numbers on a number line a, b and c.
We know that a > b and b > c
We can conclude that a > c
So, we will have them placed:
a – farthest right
b – in middle
c – farthest left

H.O.T. Focus on Higher Order Thinking

Texas Go Math Lesson 1.2 Prime Factorization Answers 6th Grade Question 25.
Critique Reasoning At 9 A.M. the outside temperature was – 3°F. By noon, the temperature was – 12°F. Jorge said that it was getting warmer outside. Is he correct? Explain.
Answer:
Jorge is, surely wrong because the temperature actually decreased by noon
We can write these temperatures as numbers and compare them to prove our theory:
Number – 3 is greater than – 12
Therefore, we write:
– 3 > – 12
So temperature actually decreased from – 3°F to – 12°F
Jorge made a mistake!

Question 26.
Problem-Solving Golf scores represent the number of strokes above or below par. A negative score means that you hit a number below par while a positive score means that you hit a number above par. The winner in golf has the lowest score. During a round of golf, Angela’s score was – 5 and Lisa’s score was – 8. Who won the game? Explain.
Answer:
We can watch the given number of strokes as ordinary numbers and conclude:
Number – 5 is greater than – 8
Therefore, we write:
– 5 > – 8
So the winner is Lisa since we are Looking for a smaller value!
Lisa won the game!

Go Math Lesson 1.2 6th Grade Question 27.
Look for a Pattern Order – 3, 5, 16, and – 10 from least to greatest. Then order the same numbers from closest to zero to farthest from zero. Describe how your lists are similar. Would this be true if the numbers were – 3, 5, – 16 and – 10?
Answer:
Number – 10 is smaller than – 3 which is smaller than 5 which is smaller than 16

Therefore, we write:
– 10 < – 3 < 5 < 16

Here, we can use a number line to determine which is closest/farthest from 0.

Refer to our Texas Go Math Grade 6 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 6 Lesson 2.3 Answer Key Comparing and Ordering Rational Numbers.

Texas Go Math Grade 6 Lesson 2.3 Answer Key Comparing and Ordering Rational Numbers

Reflect

Question 1.
Communicate Mathematical Ideas How does a number line represent equivalent fractions and decimals?
Answer:
The number line represents equivalent fractions and decimals as the same exact points on it!

Lesson 2.3 Comparing and Ordering Rational Numbers Question 2.
Name a decimal between 0.4 and 0.5.
Answer:
A decimal between 0.4 and 0.5 would be any number that is greater than 0.4 and smaller than 0.5.

Now, we know that our decimal could be 0.45 or even 0.46754. We could pick any decimal whose value is between 0.4 and 0.5

Your Turn

Order the fractions and decimals from least to greatest.

Question 3.
0.85, \(\frac{3}{5}\), 0.15, \(\frac{7}{10}\)
Answer:
First thing will be writing decimals as equivalent fractions!

Second thing will be finding common denominator for our fractions!
Let’s get all the numbers to have 20 as common denominator!
We multiply both, the numerator and denominator with same number to get equivalent expression!
\(\frac{3}{5}=\frac{3 \cdot 4}{5 \cdot 4}\) = \(\frac{12}{20}\)
\(\frac{7}{10}=\frac{7 \cdot 2}{10 \cdot 2}\) = \(\frac{14}{20}\)

Now we compare numerators of fractions!
17, 3, 12, 14
So, now we know that 3 is smaller than 12 which is smaller than 14 which is smaller than 17 .
Now we can write them as: 3 < 12 < 11 < 17
Therefore:
\(\frac{3}{20}<\frac{12}{20}<\frac{14}{20}<\frac{17}{20}\)

Last thing that we want to do is to return expressions to given ones!
So, we have:
0.15 < \(\frac{3}{5}\) < \(\frac{7}{10}\) < 0.85
So, now we have ordered them from Least to greatest and we can write the order as:
0.15, \(\frac{3}{5}\), \(\frac{7}{10}\), 0.85

Reflect

Question 4.
Communicate Mathematical Ideas Describe a different way to order the numbers.
Answer:
Different ways to order the numbers would be:
Firstly, write them all as fractions!
Secondly, find equivalent fractions with common denominator!
Thirdly, compare numerators and list them from greatest to least.

Your Turn

Question 5.
To compare their bike times, the friends created a table that shows the difference between each person’s time and the average bike time. Order the bike times from least to greatest.

Answer:
First thing will be writing fractions as equivalent decimals!

Now we use number line to conclude relation between numbers!

Now, we know that:
Number – 1.8 is smaller than – 1.25 which is smaller than 1 which is smaller than 1.4 which is smaller than 1.9.
We can write it as:
– 1.8 < – 1.25 < 1 < 1.4 < 4.9

One last thing to do is to return decimals to given expressions and write it ¡n order from least to greatest!
– 1.8, – 1.25, 1, 1\(\frac{2}{5}\), 1\(\frac{9}{10}\)

Texas Go Math Grade 6 Lesson 2.3 Guided Practice Answer Key

Find the equivalent fraction or decimal for each number.

Question 1.
0.6 = __________
Answer:
Here, we want to find an equivalent fraction to the number 0.6
Firstly, we write it as a fraction!
Secondly, we simplify it by dividing with the greatest common divisor!

Go Math Practice and Homework Lesson 2.3 Answer Key Question 2.
\(\frac{1}{4}\) = __________
Answer:
Here, we want to write fraction \(\frac{1}{4}\) as equivalent decimal number!
We divide numbers 1 and 4 to get our solution!

\(\frac{1}{4}\) = 0.25

Question 3.
0.9 = __________
Answer:
Here, we want to find equivalent fraction to number 0.9
Firstly, we write it as fraction!
Secondly, we simplify it by dividing with greatest common divisor, only if we can!
0.9 = \(\frac{0.9 \cdot 10}{1 \cdot 10}=\frac{\mathbf{9}}{\mathbf{1 0}}\)

Question 4.
0.1 = __________
Answer:
Here, we want to find equivalent fraction to number 0.1
Firstly, we write it as fraction!
Secondly, we simplify it by dividing with greatest common divisor, only if we can!
0.1 = \(\frac{0.1 \cdot 10}{1 \cdot 10}=\frac{1}{10}\)

Question 5.
\(\frac{3}{10}\)
Answer:
Here, we want to write fraction \(\frac{3}{10}\) as equivalent decimal number!
We divide numbers 3 and 10 to get our solution!

\(\frac{3}{10}\) = 0.3

Question 6.
1.4 = __________
Answer:
Here, we want to find equivalent fraction to number 1.4
Firstly, we write it as fraction!
Secondly, we simplify it by dividing with greatest common divisor!

Question 7.
\(\frac{4}{5}\)
Answer:
Here, we want to write fraction \(\frac{4}{5}\) as equivalent decimal number!
We divide numbers 4 and 5 to get our solution!

\(\frac{4}{5}\) = 0.8

Question 8.
0.4 = __________
Answer:
Here, we want to find equivalent fraction to number 0.4
Firstly, we write it as fraction!
Secondly, we simplify it by dividing with greatest common divisor!

Question 9.
\(\frac{6}{8}\) = __________
Answer:
Here, we want to write fraction \(\frac{6}{8}\) as equivalent decimal number!
We divide numbers 6 and 8 to get our solution!

\(\frac{6}{8}\) = 0.75

Use the number line to order the fractions and decimals from least to greatest.

Question 10.
0.75, \(\frac{1}{2}\), 0.4, and \(\frac{1}{5}\)

Answer:
First thing will be writing fractions as equivalent decimals!
\(\frac{1}{2}\) = 0.5
\(\frac{1}{5}\) = 0.2

Now we know that number 0.25 is smaller than 0.4 which is smaller than 0.5 which is smaller than 0.75.
One last thing to do is to return decimals to given expressions and write it in order from least to greatest!
\(\frac{1}{5}\), 0.4, \(\frac{1}{2}\), 0.75

Compare Fractions and Decimals Lesson 2.3 Answer Key Question 11.
The table shows the lengths of fish caught by three friends at the lake last weekend. Write the lengths in order from greatest to least.

Answer:
First thing will be writing fractions as equivalent decimals!
12\(\frac{3}{5}\) = 12 + \(\frac{3}{5}\) = 12 + 0.6 = 12.6
12\(\frac{3}{4}\) = 12 + \(\frac{3}{4}\) = 12 + 0.75 = 12.75

Now we know that number 12.75 is greater than 12.7 which is greater than 12.6 .
One last thing to do is to return decimals to given expressions and write it in order from greatest to least!
12\(\frac{3}{5}\), 12.7, 12\(\frac{3}{4}\)

Like the fractions and decimals in order from least to greatest.

Question 12.
2.3, 2\(\frac{4}{5}\), 2.6
Answer:
First thing will be writing fractions as equivalent decimals!
2\(\frac{4}{5}\) = 2 + \(\frac{4}{5}\) = 2 + 0.8 = 2.8

Now we know that number 2.3 is smaller than 2.6 which is smaller than 2.8.
One Last thing to do is to return decimals to given expressions and write it in order from greatest to least!
2.3, 2.6, 2\(\frac{4}{5}\)

Question 13.
0.5, \(\frac{3}{16}\), 0.75, \(\frac{5}{48}\)
Answer:
First thing will be writing fractions as equivalent decimals!

Second thing will be finding common denominator for our fractions!
Let’s get all the numbers to have 48 as common denominator!
We multiply both, numerator and denominator with same number to get equivalent expression!
\(\frac{3}{4}\) = \(\frac{3 \cdot 12}{4 \cdot 12}=\frac{36}{48}\)
\(\frac{1}{2}\) = \(\frac{1 \cdot 24}{2 \cdot 24}=\frac{24}{48}\)
\(\frac{3}{16}\) = \(\frac{3 \cdot 3}{16 \cdot 3}=\frac{9}{48}\)

Now we compare numerators of fractions!
5, 36, 24, 9
So, now we know that 5 is smaller than 9
which is smaller than 14 which is smaller than 17 .
Now we can write them as : 5 < 9 < 24 < 36
Therefore:
\(\frac{5}{48}<\frac{9}{48}<\frac{24}{48}<\frac{36}{48}\)

Last thing that we want to do is to return expressions to given ones!
So, we have:
\(\frac{5}{48}\) < \(\frac{3}{16}\) < 0.5 < 0.75
So, now we have ordered them from least to greatest and we can write the order as:
\(\frac{5}{48}\), \(\frac{3}{16}\), 0.5, 0.75

Question 14.
0.5, \(\frac{1}{5}\), 0.35, \(\frac{12}{25}\), \(\frac{4}{5}\)
Answer:
First thing will be writing fractions as equivalent decimals!
0.35 = \(\frac{35}{100}\)
0.5 = \(\frac{5}{10}=\frac{5 \cdot 10}{10 \cdot 10}=\frac{50}{100}\)

Second thing will be finding common denominator for our fractions!
Let’s get all the numbers to have 100 as common denominator!
We multiply both, numerator and denominator with same number to get equivalent expression!
\(\frac{4}{5}\) = \(\frac{4 \cdot 20}{5 \cdot 20}=\frac{80}{100}\)
\(\frac{12}{25}\) = \(\frac{12 \cdot 4}{25 \cdot 4}=\frac{48}{100}\)
\(\frac{1}{5}\) = \(\frac{1 \cdot 20}{5 \cdot 20}=\frac{20}{100}\)

Now we compare numerators of fractions!
20, 48, 80, 35, 50
So, now we know that 20 is smaller than 35
which is smaller than 48 which is smaller than 50 which is smaller than 80
Now we can write them as : 20 < 35 < 48 < 50 < 80
Therefore:
\(\frac{20}{100}<\frac{35}{100}<\frac{48}{100}<\frac{50}{100}<\frac{80}{100}\)

Last thing that we want to do is to return expressions to given ones!
So, we have:
\(\frac{1}{5}\) < 0.35 < \(\frac{12}{25}\) < \(\frac{1}{2}\) < \(\frac{4}{5}\)
So, now we have ordered them from least to greatest and we can write the order as:
\(\frac{1}{5}\), 0.35, \(\frac{12}{25}\), \(\frac{1}{2}\), \(\frac{4}{5}\)

Question 15.
\(\frac{3}{4},-\frac{7}{10},-\frac{3}{4}, \frac{8}{10}\)
Answer:
First thing will be writing decimals as equivalent fractions!
Since they are all given by fractions, we can skip this step!

Second thing will be finding common denominator for our fractions!
Let’s get all the numbers to have 20 as common denominator!
We multiply both, numerator and denominator with same number to get equivalent expression!

Now we compare numerators of fractions!
– 14, 15, 16, – 15
So, now we know that – 15 is smaller than – 14
which is smaller than 15 which is smaller than 16
Now we can write them as : – 15 < – 14 < 15 < 16
Therefore:
\(\frac{-15}{20}<\frac{-14}{20}<\frac{15}{20}<\frac{16}{20}\)

Last thing that we want to do is to return expressions to given ones!
So, we have:
– \(\frac{3}{4}\) < – \(\frac{7}{10}\) < \(\frac{3}{4}\) < \(\frac{8}{10}\)
So, now we have ordered them from least to greatest and we can write the order as:
– \(\frac{3}{4}\), – \(\frac{7}{10}\), \(\frac{3}{4}\), \(\frac{8}{10}\)

Question 16.
– \(\frac{3}{8}\), \(\frac{5}{16}\), – 0.65, \(\frac{2}{4}\)
Answer:
First thing will be writing fractions as equivalent decimals!
Note that i will do division all the way down!
– \(\frac{3}{8}\) = – 0.375
\(\frac{5}{16}\) = 0.3125
\(\frac{2}{4}\) = \(\frac{1}{2}\) = 0.5

Now we know that number – 0.65 is smaLler than – 0.375 which is smaller than 0.3125 which is smaller than 0.5.
One last thing to do is to return decimals to given expressions and write it in order from least to greatest!
– 0.65, – \(\frac{3}{8}\), \(\frac{5}{16}\), \(\frac{2}{4}\)

Lesson 2.3 Comparing and Ordering Rational Numbers Question 17.
– 2.3, – 2\(\frac{4}{5}\), – 2.6
Answer:
First thing will be writing fractions as equivalent decimals!
– 2\(\frac{4}{5}\) = – 2 – \(\frac{4}{5}\) = – 2 – 0.8 = – 2.8

Now we know that number – 2.8 is smaller than – 2.6 which is smaller than – 2.3.
One last thing to do is to return decimals to given expressions and write it in order from greatest to least!
– 2\(\frac{4}{5}\), – 2.6, – 2.3

Question 18.
– 0.6, – \(\frac{5}{8}\), – \(\frac{7}{12}\), – 0.72
Answer:
First thing will be writing fractions as equivalent decimals!
Note that i will do division all the way down!
– \(\frac{5}{8}\) = – 0.625
– \(\frac{7}{12}\) = – 0.58\(\dot{3}\)

Now we know that number – 0.72 is smaller than – 0.625 which is smaller than – 0.6 which is smaller than – 0.58\(\dot{3}\).
One last thing to do is to return decimals to given expressions and write it in order from least to greatest!
– 0.72, –\(\frac{5}{8}\), – 0.6, – \(\frac{7}{12}\)

Question 19.
1.45, 1\(\frac{1}{2}\), 1\(\frac{1}{3}\), 1.2
Answer:
First thing will be writing fractions as equivalent decimals!
1\(\frac{1}{2}\) = 1 + \(\frac{1}{2}\) = 1 + 0.5 = 1.5
1\(\frac{1}{3}\) = 1 + \(\frac{1}{3}\) = 1 + 0.3 = 1.\(\dot{3}\)
Note that i will write division all the way down!

Now we know that number 1.2 is smaller than 1.\(\dot{3}\) which is smaller than 1.45 which is smaller than 1.5
One last thing to do is to return decimals to given expressions and write it in order from greatest to least!
1\(\frac{1}{2}\), 1\(\frac{1}{3}\), 1.45, 1.5

Question 20.
– 0.3, 0.5, 0.55, – 0.35
Answer:
First thing will be writing fractions as equivalent decimals!
Since all the numbers are written in appropriate form, we can proceed to next step!

Now we know that number – 0.35 is smaLler than – 0.3 which is smaller than 0.5 which is smaller than 0.55.
One last thing to do is to return decimals to given expressions and write it in order from least to greatest!
– 0.35, – 0.3,0.5, 0.55

Question 21.
Explain how to compare 0.7 and \(\frac{5}{8}\)
Answer:
we can solve this problem it two Ways.
As given, 0.7 is already written as decimal and therefore easiest way would include dividing number 5 with 8 to transform it into decimal.

Now, when we have both number as decimals, we can simply conclude that 0.7 is greater than 0.625.
So, we can write:
0.7 > \(\frac{5}{8}\)

Question 22.
Rosa and Albert receive the same amount of allowance each week. The table shows what part of their allowance they each spent on video games and pizza. Use a number line to help you compare.

a. Who spent more of their allowance on video games? Write an inequality to compare the portion spent on video games.
Answer:
We know that Rosa spent 0.4, and Albert \(\frac{1}{2}\) of their allowance on video games.
We can convert \(\frac{1}{2}\) into 0.5 by dividing 1 with 2.
Now, we can conclude that 0.5 is greater than 0.4, and we can write:
0.5 > 0.4
So Albert spent more of his allowance than Rosa on video games.

b. Who spent more of their allowance on pizza? Write an inequality to compare the portion spent on pizza.
Answer:
We know that Rosa spent \(\frac{2}{5}\), and Albert 0.25 of their allowance on pizza.
We can convert \(\frac{2}{5}\) into 0.4 by dividing 2 with 5.
Now, we can conclude that 0.4 is greater than 0.25, and we can write:
0.4 > 0.25
So Rosa spent more of her allowance than Albert on pizza.

c. Draw Conclusions Who spent the greater part of their total allowance? How do you know?
Answer:
All we need to do here is to add allowance values for each of kids, and compare them!
So we have:
0.4 + 0.4 = 0.8
0.5 + 0.25 = 0.75
Now we can conclude that 0.8 is greater than 0.75 and therefore we can say:
Rosa spent more of her allowance than Albert did!

Question 23.
A group of friends is collecting aluminum for a recycling drive. Each person who donates at least 4.25 pounds of aluminum receives a free movie coupon. The weight of each person’s donation is shown in the table.

a. Order the weights of the donations from greatest to least.
Answer:
Firstly, we will transform all fractions to decimals!
So, we have:
6\(\frac{1}{6}\) = 6 + \(\frac{1}{6}\) = \(\frac{37}{6}\) = 6.1\(\dot{6}\)
\(\frac{15}{4}\) = 3.75
4\(\frac{3}{8}\) = 4 + \(\frac{3}{8}\) = \(\frac{35}{8}\) = 4.375
Now, we can compare those donations!
Number 6.1\(\dot{6}\) is greater than 5.5 which is greater than 4.375 which is greater than 4.3 which is greater than 3.75
Now we can return numbers to its original forms and write them in order from greatest to least:
6\(\frac{1}{6}\), 5.5, 4\(\frac{3}{8}\), 4.3, \(\frac{15}{4}\)

b. Which of the friends will receive a free movie coupon? Which will not?
Answer:
We know that only students who donated more than 4.25 pounds of aluminum will receive a free movie coupon.
Therefore, we will compare given values with 4.25 and conclude which of students is not going to get a free
movie coupon.
We can compare each number with 4.25 but it is not necessary because we ordered them from greatest to least in
previous task!
Therefore, we go from right side and compare numbers until we reach one which is greater than 4.25.
\(\frac{15}{4}\) = 3.75
3.75 is smaller than 4.25, so Micah won’t receive the free movie coupon!
4.3 is greater than 4.25, so Brenda will receive free movie coupon!
Now we know that every other student will receive free movie coupon as their donations are higher!
So the following people will receive free movie coupon: Jim, Peter Brenda, Claire, and Micah won’t.

c. What If? Would the person with the smallest donation win a movie coupon if he or she had collected \(\frac{1}{2}\) pound more of aluminum? Explain.
Answer:
To find out would Micah receive free movie coupon if he had additional \(\frac{1}{2}\) pounds of aluminum, we will have to add these values and compare its sum to 4.25
\(\frac{15}{4}+\frac{1}{2}=\frac{15}{4}+\frac{1 \cdot 2}{2 \cdot 2}=\frac{15}{4}+\frac{2}{4}=\frac{17}{4}\)
Now we transform this into decimal number and get:
\(\frac{17}{4}\) = 4.25
Now we know that Micah’s new donation wilt be 4.25 pounds of aluminum
Since every person who donates at least 4.25 pounds of aluminum receives free movie coupon, Micah will receive it!

Division:

Go Math Lesson 2.3 Answer Key Grade 6 Question 24.
Last week, several gas stations in a neighborhood all charged the same price for a gallon of gas. The table below shows how much gas prices have changed from last week to this week.

a. Order the numbers in the table from least to greatest.
Answer:
Firstly, we will transform all fractions to decimals!
So, we have:

Now, we can compare those gas prices!
Number – 6.75 is smaller than – 6.6 which is smaller than – 5.625 which is smaller than 5.4 which is smaller than 5.8.
Now we can return numbers to its original forms and write them in order from greatest to least:
– 6\(\frac{3}{4}\), – 6.6, – 5\(\frac{5}{8}\), 5.4, 5.8

b. Which gas station has the cheapest gas this week?
Answer:
As we ordered them from least to greatest in last task, we know that the gas price is lowest in Gas and Go at a price change of – 6\(\frac{3}{4}\)

c. Critical Thinking Which gas station changed their price the least this week?
Answer:
To find out, which gas station changed their gas price the least this week we can calculate the absolute value of each price and figure which is the lowest.

As absolute value will give same result for positive numbers, We won’t include them in calculations.
We can draw these values on number line to see their relation, on simply compare them:
Number 6.75 is greater than 6.6 which is greater than 5.8 which is greater than 5.625 which is greater than 5.4.
Therefore, we can say that:
\(\frac{27}{5}\) or 5.4 is the smallest value!
So, least change is made in Corner Store

Division:

H.O.T. Focus on Higher Order Thinking

Question 25.
Analyze Relationships Explain how you would order from least to greatest three numbers that include a positive number, a negative number, and zero.
Answer:
It is actually very Simple. If we order them from least to greatest, negative number is always least, zero is in middle and positive number is greatest.
We can always draw them on number Line to convince our selves!

Question 26.
Critique Reasoning Luke is making pancakes. The recipe calls for 0.5 quart of milk and 2.5 cups of flour. He has \(\frac{3}{8}\) quart of milk and \(\frac{18}{8}\) cups of flour. Luke makes the recipe with the milk and flour that he has. Explain his error.
Answer:
Luke hasn’t got enough milk and cups of flour
Let’s prove that!
Firstly, we transform given fractions into decimals.
\(\frac{3}{8}\) = 0.375
\(\frac{18}{8}\) = 2.25
Since 0.375 is less than 0.5 and 2.25 is less than 2.5.
We can conclude that Luke is missing both milk and cups of flour!

Division:

Question 27.
Communicate Mathematical Ideas If you know the order from least to greatest of 5 negative rational numbers, how can you use that information to order the absolute values of those numbers from least to greatest? Explain.
Answer:
If we know order of 5 negative rational numbers from least to greatest
That means their absolute values are actually vice versa.
Absolute value gives us distance from 0, so in this case, least number is farthest from 0.
So, order of numbers on which was used absolute value is actually from greatest to least

Refer to our Texas Go Math Grade 6 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 6 Module 2 Answer Key Rational Numbers.

Texas Go Math Grade 6 Module 2 Answer Key Rational Numbers

Texas Go Math Grade 6 Module 2 Are you ready? Answer Key

Write each improper fraction as a mixed number.

Question 1.
\(\frac{7}{2}\)
Answer:
Firstly, we will write this improper fraction as a sum of proper fractions(ones) plus one which is not proper
SecondLy, we wilt exchange proper fractions with ones!
Thirdly, we will add them
Final soLution will be the mixed number.

\(\frac{7}{2}\) = \(\frac{2}{2}+\frac{2}{2}+\frac{2}{2}+\frac{1}{2}\)
= 1 + 1 + 1 + \(\frac{1}{2}\)
= 3 + \(\frac{1}{2}\)
= 3\(\frac{1}{2}\)

Grade 6 Module 2 Answer Key Go Math Question 2.
\(\frac{12}{5}\)
Answer:
Firstly, we will write this improper fraction as a sum of proper fractions(ones) plus one which is not proper
Secondly, we will exchange proper fractions with ones!
Thirdly, we will add them
Final solution will be: mixed number

\(\frac{12}{5}\) = \(\frac{5}{5}+\frac{5}{5}+\frac{2}{5}\)
= 1 + 1 + \(\frac{2}{5}\)
= 2 + \(\frac{2}{5}\)
= 2\(\frac{2}{5}\)

Question 3.
\(\frac{11}{7}\)
Answer:
Firstly, we will write this improper fraction as a sum of proper fractions(ones) plus one which is not proper
SecondLy, we wiLl exchange proper fractions with ones!
Thirdly, we will add them
Final solution will be: mixed number

\(\frac{11}{7}\) = \(\frac{7}{7}+\frac{4}{7}\)
= 1 + \(\frac{4}{7}\)
= 1\(\frac{4}{7}\)

Question 4.
\(\frac{15}{4}\)
Answer:
Firstly, we will write this improper fraction as a sum of proper fractions(ones) plus one which is not proper
Secondly, we will exchange proper fractions with ones!
Thirdly, we will add them.
Final solution will be: mixed number.

\(\frac{15}{4}\) = \(\frac{4}{4}+\frac{4}{4}+\frac{4}{4}+\frac{3}{4}\)
= 1 + 1 + 1 + \(\frac{3}{4}\)
= 3 + \(\frac{3}{4}\)
= 3\(\frac{3}{4}\)

Write each mixed number as an improper fraction.

Question 5.
2\(\frac{1}{2}\)
Answer:
Firstly, we will write the whole number as a sum of ones.
Secondly, we will use the denominator to find corresponding fractions for ones.
Thirdly, we will. calculate sum of numerators!
To reach our final solution: improper fraction.

2\(\frac{1}{2}\) = 1 + 1 + \(\frac{1}{2}\)
= \(\frac{2}{2}+\frac{2}{2}+\frac{1}{2}\)
= \(\frac{5}{2}\)

Go Math Grade 6 Module 2 Answer Key Pdf Question 6.
4\(\frac{3}{5}\)
Answer:
Firstly, we will write the whole number as a sum of ones.
Secondly, we will use the denominator to find corresponding fractions for ones.
Thirdly, we will calculate sum of numerators!
To reach our final solution: improper fraction.

4\(\frac{3}{5}\) = 1 + 1 + 1 + 1 + \(\frac{3}{5}\)
= \(\frac{5}{5}+\frac{5}{5}+\frac{5}{5}+\frac{5}{5}+\frac{3}{5}\)
= \(\frac{23}{5}\)

Question 7.
3\(\frac{4}{9}\)
Answer:
Firstly, we will write the whole number as a sum of ones.
Secondly, we will use the denominator to find corresponding fractions for ones.
Thirdly, we will calculate sum of numerators!
To reach our final solution: improper fraction.

3\(\frac{4}{9}\) = 1 + 1 + 1 + \(\frac{4}{9}\)
= \(\frac{9}{9}+\frac{9}{9}+\frac{9}{9}+\frac{4}{9}\)
= \(\frac{31}{9}\)

Question 8.
2\(\frac{5}{7}\)
Answer:
Firstly, we will write the whole number as a sum of ones.
Secondly, we will use the denominator to find corresponding fractions for ones.
Thirdly, we will calculate sum of numerators!
To reach our final solution: improper fraction.

2\(\frac{5}{7}\) = 1 + 1 + \(\frac{5}{7}\)
= \(\frac{7}{7}+\frac{7}{7}+\frac{5}{7}\)
= \(\frac{19}{7}\)

Find the least common denominator.

Module 2 Rational Numbers Definition for 6th Grade Question 9.
\(\frac{1}{2}\) and \(\frac{3}{5}\) _________
Answer:
Firstly, we will list multiples of each denominator.
Secondly, we will highlight common multiples!
Thirdly, we will determine, which is the least common denominator!

Least Common denominator is 10

Question 10.
\(\frac{1}{6}\) and \(\frac{3}{8}\) _________
Answer:
Firstly, we will list multiples of each denominator.
Secondly, we will highlight common multiples!
Thirdly, we will determine, which is the least common denominator!

Least Common denominator is 24

Question 11.
\(\frac{9}{10}\) and \(\frac{7}{12}\) _________
Answer:
Firstly, we will list multiples of each denominator.
Secondly, we will highlight common multiples!
Thirdly, we will determine, which is the least common denominator!

Least Common denominator is 60

Grade 6 Module 2 Rational Numbers Graphic Organizer Question 12.
\(\frac{4}{9}\) and \(\frac{5}{12}\) _________
Answer:
Firstly, we will list multiples of each denominator.
Secondly, we will highlight common multiples!
Thirdly, we will determine, which is the least common denominator!

Least Common denominator is 36

Texas Go Math Grade 6 Module 2 Reading Start-Up Answer Key

Visualize Vocabulary
Use the ✓ words to complete the web. You may put more than one word in each box.

Understand Vocabulary

Fill in each blank with the correct term from the preview words.

Question 1.
A _________________ is any number that can be written as a ratio of two integers.
Answer:
A rational is any number that can be written as a ratio of two integers!

Go Math Grade 6 Module 2 Rational Numbers Answer Key Question 2.
A _________________ is used to show the relationships between groups.
Answer:
A Venn diagram is used to show the relationships between groups.

Refer to our Texas Go Math Grade 6 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 6 Lesson 1.1 Answer Key Identifying Integers and Their Opposites.

Texas Go Math Grade 6 Lesson 1.1 Answer Key Identifying Integers and Their Opposites

Texas Go Math Grade 6 Lesson 1.1 Explore Activity Answer Key

(A) The table shows the elevations of several locations in a state park.
Graph the locations on the number line according to their elevations.

(B) What point on the number line represents sea level?

(C) Which location is closest to sea level? How do you know?

(D) Which two locations are the same distance from sea level? Are these locations above or below sea level?

(E) Which location has the least elevation? How do you know?

Reflect

Question 1.
Analyze Relationships Morning Glory Stream is 7 feet below sea level. What number represents the elevation of Morning Glory Stream?
Answer:
Because Morning Glory Stream is 7 feet below sea level, the number which represents the elevation of Morning Glory wilt be – 7.
It is – 7 because Morning Glory Stream is 7 feet below sea level and we can let the sea level’s elevation be 0.

Result:
– 7

Integers and Their Opposites Go Math Grade 6 Lesson 1.1 Answer Key Question 2.
Multiple Representations Explain how to graph the elevation of Morning Glory Stream on a number line.
Answer:
Because the elevation of Morning Glory Stream is 7, it is a number that is Less than 0, so, it is a negative integer.
So, – 7 will be 7 units left from 0 on number Line.

Result:
It will be 7 units left from 0 on a number line.

Question 3.
Justify Reasoning Explain how your number line shows that 8 and -8 are opposites.
Answer:
From number Line we can notice that 8 and – 8 are the same distance from 0 but also, they are on different sides of 0.
So, according to previous, we can conclude that 8 and – 8 are opposites.

Result:
They are the same distance from 0 and on different sides of 0.

Question 4.
Multiple Representations Explain how to use your number line to find the opposite of the opposite of -6.
Answer:
First we need to find – 6 on number line. It is 6 units left of point 0. The opposite of – 6 is 6 units right from point 0, it is number 6.
And again, opposite of 6, which is opposite of – 6, is 6 units Left from 0 on number Line.
We get that it is number – 6.
So, conclusion is that the opposite of the opposite of – 6 is – 6.

Result:
The opposite of the opposite of – 6 is – 6.

Question 5.
Analyze Relationships Explain how you can find the opposite of the opposite of any number without using a number line.
Answer:
From all previous we can conclude that the opposite of the opposite of any number is that number always.

Result:
The opposite of the opposite of any number is that number.

Your Turn

Graph the opposite of the number shown on each number line.

Question 6.

Answer:
Here we need to find the opposite of the number – 1. It is 1 unit from 0 to the right We can conclude that it is number 1.

Result:
1

Go Math 6th Grade Lesson 1.1 Identifying Integers Question 7.

Answer:
Here we need to find the opposite of the number 7.
It is 7 units from 0 to the left. We can conclude that it is number -7.

Result:
– 7

Write the opposite of each number.

Question 8.
10 ___________
Answer:
The opposite of 10 is – 10, because – 10 is number on number line with the same distance from 0 as 10 and on the opposite side of 0.

Result:
– 10

Question 9.
– 5 ___________
Answer:
The opposite of – 5 is 5 because 5 is number on number tine with the same distance from 0 as – 5 and on the opposite side of 0.

Result:
5

Question 10.
0 ____________
Answer:
Here, conclusion is that 0 is its own opposite.

Result:
0

Question 11.
What is the opposite of the opposite of 6?
Answer:
Like we explain in some previous tasks, the opposite of the opposite of any number is that number.
So, here, the opposite of the opposite of 6 is 6.

Result:
6

Texas Go Math Grade 6 Lesson 1.1 Guided Practice Answer Key

Question 1.
Graph and label the following points on the number line.
a. -2
b. 9
c. -8
d. -9
e. 5
f. 8

Answer:

Graph the opposite of the number shown on each number line. (Explore Activity 2 and Example 1)

Go Math Grade 6 Practice and Homework Lesson 1.1 Answer Key Question 2.

Answer:

Question 3.

Answer:

Question 4.

Answer:
Note that opposite of 0 is actually 0

Write the opposite of each number. (Explore Activity 2 and Example 1)

Question 5.
4
Answer:
Opposite of 4 is – 4.
Therefore, we write – 4 on a line.

Question 6.
– 11
Answer:
Opposite of – 11 is 11.
Therefore, we write 11 on a line.

Question 7.
3
Answer:
Opposite of 3 is – 3.
Therefore, we write – 3 on a line.

Question 8.
– 3
Answer:
Opposite of – 3 is 3.
Therefore, we write 3 on a line.

Lesson 1.1 Relate Integers and Their Opposites Go Math 6th Grade Question 9.
0
Answer:
Opposite of 0 is 0.
Therefore, we write 0 on a line.

Question 10.
22
Answer:
Opposite of 22 is – 22.
Therefore, we write – 22 on a line.

Essential Question Check-In

Question 11.
Given an integer, how do you find its opposite?
Answer:
We will get opposite of integer if we add “—” sign in front of a number(from Left side).

Question 12.
Chemistry Atoms normally have an electric charge of 0. Certain conditions, such as static, can cause atoms to have a positive or a negative charge. Atoms with a positive or negative charge are called ions.

a. Which ions have a negative change?
Answer:
Ions with a negative charge are: A, C, E

b. Which ions have charges that are opposites?
Answer:
Ions that have charges which are opposite are: B, D, A, E

c. Which ions charge is not the opposite of another ion’s charge?
Answer:
Ion charge which is not opposite of another ion charge is C

Name the integer that meets the given description.

Question 13.
the opposite of -17 ____________
Answer:
Opposite number of – 17 is 17.
Therefore, our final solution is: 17

Question 14.
4 units left of 0 _________
Answer:
Number that is 4 units left from 0 is: – 4
Actually, we could have just drawn a number line for ourselves and have shown the solution through it!
Let’s do it:

Question 15.
the opposite of the opposite of 2 ____________
Answer:
Opposite of the opposite of some number is actuaLLy that same number!
So, in our case the integer that meets the given description is: 2
That is our final solution!

Question 16.
15 units right of 0 ____________
Answer:
Number that is 15 units right of 0 is: 15
Actually, we could have just drawn a number line for ourselves and have shown the solution through it!

Let’s do it:

Question 17.
12 units right of 0 ____________
Answer:
Number that is 15 units right of 0 is: 15
We can use addition while finding number placed right of another number!
Actually, we could have just drawn a number line for ourselves and have shown the solution through it!

Let’s do it:

Go Math Grade 6 Lesson 1.1 Integers on the Number Line Answer Key Question 18.
the opposite of – 19 __________
Answer:
Opposite number of – 19 is 19
Therefore, our final solution is 19

Question 19.
Analyze Relationships Several wrestlers are trying to lose weight for a competition. Their change in weight since last week is shown in the chart.

a. Did Victor lose or gain weight since last week?
Answer:
Victor gained weight since last week.

b. Which wrestlers weight change is the opposite of Ramsey’s?
Answer:
Opposite of Ramsey’s weight change is Tino.

c. Which wrestlers have lost weight since last week?
Answer:
Wrestlers who lost weight since last week are: Tino, Luis.

d. Frankie’s weight change since last week was the opposite of Victor’s.
What was Frankie’s weight change? ____________
Answer:
Firstly, we conclude that Victor gained 6 pounds!
Now, we can say that Frankie lost 6 pounds
So, Frankie’s weight change from last week is – 6 pounds!

e. Frankie’s goal last week was to gain weight. Did he meet his goal? Explain.
Answer:
Frankie didn’t meet his goat because he gained 6 pounds since last week and he was supposed to loose weight.

Find the distance between the given number and its opposite on a number line.

Question 20.
6 ____________
Answer:

Question 21.
– 2 ____________
Answer:

Question 22.
0 ____________
Answer:
Please not that the opposite of 0 is 0.

Question 23.
– 7 ____________
Answer:

Go Math 6th Grade Lesson 1.1 Answers Question 24.
What If? Three contestants are competing in a trivia game show.
The table shows their scores before the final question.

a. How many points must Shawna earn for her score to be the opposite of Timothy’s score before the final question?
Answer:
We know that the opposite of 18 is – 18
So we calculate the distance between – 25 and – 18.
Here is how we do it:
|- 25| – |-17| = 25 – 17 = 8
So, amount of points that Shawna has to earn is: 8

b. Which person’s score is closest to 0?
Answer:
Here, we calculate lowest absolute value!
|- 25| > |18| >| – 14| = – 14
Absolute value of – 14 is lowest
and therefore closest to 0

c. Who do you think is winning the game before the final question? Explain.
Answer:
Shawna is in lead before final question since her score is greatest!

H.O.T. Focus on Higher Order Thinking

Question 25.
Communicate Mathematical Ideas Which number is farther from 0 on a number line: – 9 or 6? Explain your reasoning.
Answer:
Here we can conclude that – 9 is farther from 0 than 6.
That works because the absolute value of – 9 is greater than 6 and therefore it’s distance from 0.

Question 26.
Analyze Relationships A number is k units to the left of 0 on the number line. Describe the location of its opposite.
Answer:
Since a number is to the Left of 0, that means that it’s opposite
is to the right of O, and aLso means that it starting value is negative
Therefore, its opposite will have value of: – k

Question 27.
Critique Reasoning Roberto says that the opposite of a certain integer is – 5. Cindy concludes that the opposite of an integer is always negative. Explain Cindy’s error.
Answer:
Cindy basically said that – 5 has negative opposite, which is absurd.
Opposite of some number has different sign, only 0 remains same!

Question 28.
Multiple Representations Explain how to use a number line to find the opposites of the integers 3 units away from – 7.
Answer:
Firstly, we locate number – 7.
Then we find values of 3 units to the left of – 7 and to the right of – 7.
Now we know that – 10 and – 4 are the values!
The next step is finding their opposites!
Opposite of – 10 is 10 land opposite of – 4 is 4

Refer to our Texas Go Math Grade 6 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 6 Module 1 Answer Key Integers.

Texas Go Math Grade 6 Module 1 Answer Key Integers

Texas Go Math Grade 6 Module 1 Are you ready? Answer Key

Compare. Write <, >, or =.

Question 1.
471 __________ 468
Answer:
Number 471 is greater than 168
Therefore, we write:
471 > 468

Question 2.
5,005 __________ 5,050
Answer:
Number 5,005 is smaller than 5,050
Therefore, we write:
5. 005 < 5,050

Go Math Grade 6 Module 1 Answer Key Pdf Question 3.
398 __________ 389
Answer:
Number 398 is greater than 389
Therefore, we write:
398 > 389

Question 4.
10,973 __________ 1099
Answer:
Number 10, 973 is smaller than 10,999
Therefore, we write:
10, 973 < 10,999

Question 5.
8,471 __________ 9,001
Answer:
Number 8,471 is smaller than 9,001
Therefore, we write:
8, 471 < 9,001

Question 6.
108 __________ 95
Answer:
Number 108 is greater than 95
Therefore, we write:
108 > 95

Order the numbers from greatest to least.

Question 7.
156; 87; 177; 99
Answer:
Number 177 is greater than 156 which is greater than 99 which is greater than 87
Therefore, we write:
177 > 156 > 99 > 87

Question 8.
591; 589; 603; 600
Answer:
Number 603 is greater than 600 which is greater than 591 which is greater than 589
Therefore, we write:
603 > 600 > 591 > 589

Question 9.
2,650; 2,605; 3,056; 2,088
Answer:
Number 3,056 is greater than 2,650 which is greater than 2,605 which is greater than 2,088
Therefore, we write:
3, 056 > 2. 650 > 2.605 > 2. 088

Grade 6 Module 1 Answer Key Pdf Go Math Question 10.
1,037; 995; 10,415; 1,029
Answer:
Number 10,415 is greater than 1,037 which is greater than 1,029 which is greater than 995
Therefore, we write:
10,115 > 1,037 > 1, 029 > 995

Graph each number on the number line.

Question 11.
12
Answer:

Question 12.
20
Answer:
Here, we know the weight of 1 hamburger’s meat needs.
If we want to know the weight of 1000 hamburgers’s meat needs, we need to multiply it!

Question 13.
2
Answer:
Firstly, we know that the building has 4 floors with 12 apartments on each!
That means that the building has:
4 ∙ 12 = 48 apartments.
If we know that each floor has 3 apartments which are not one-bedroom ones, that implies
There are:
4 ∙ 3 = 12 apartments.
which are not one-bedroom ones! Now we subtract values and get:
48 – 12 = 36
apartments with one bedroom!
Now, we know that every expression that does not give 48, when evaluated, is wrong!
Therefore, final solution for this task is

Integers Test Grade 6 Pdf with Answers Question 14.
9
Answer:
Here, we calculate the content of parenthesis first!
So. we get:
900 + 60000 + 200000 + 80 = 260980
Note that I automatically calculated that because when we multiply with such numbers.
all we do is add a certain number of 0 to the time right of the last digit!

Texas Go Math Grade 6 Module 1 Reading Start-Up Answer Key

Visualize Vocabulary
Use the ✓ words to complete the chart. Write the correct vocabulary word next to the symbol.

Understand Vocabulary

Complete the sentences using the preview words.

Question 1.
An ___________ is a statement that two quantities are not equal.
Answer:
inequality

Go Math Grade 6 Volume 1 Answer Key Question 2.
The set of all whole numbers and their opposites are _____________.
Answer:
integers

Question 3.
Numbers greater than 0 are _____________. Numbers less than 0 are _____________.
Answer:
positive numbers and negative numbers

Refer to our Texas Go Math Grade 7 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 7 Module 14 Quiz Answer Key.

Texas Go Math Grade 7 Module 14 Quiz Answer Key

Texas Go Math Grade 7 Module 14 Ready to Go On? Answer Key

14.1 Personal Budgets

For 1-3, use the following information on the Plimpton family’s monthly budget.

Their net monthly income is $4,500. They have an emergency fund that is 6% of their monthly budget and they have a savings of 7% per month. Medical costs are $675 per month, housing is $1,485, and transportation costs $450. Food accounts for 17% of the monthly budget and they spend 5% on entertainment. They also spend 7% of the budget on clothing each month.

Question 1.
How much does the Plimpton family spend on clothing each month? ____
Answer:
Net monthly income of Plimpton family = $4, 500
Percentage of budget used for clothing 7%
Amount spent on clothing = \(\frac{\text { Percentage }}{100}\) × Net monthly income
Amount spent on clothing = \(\frac{7}{100}\) × 4,500
= 0.07 × 4,500
= $315
Hence, Plimpton family spend $315 monthly on cLothing.

Question 2.
How much does the Plimpton family spend on entertainment each year? ____
Answer:
Net monthly income of Plimpton family = $4, 500
Percentage of budget used for Entertainment = 5%
Amount spent on Entertainment = \(\frac{\text { Percentage }}{100}\) × Net monthly income
Amount spent on Entertainment = \(\frac{5}{100}\) × 4, 500
= 0.05 × 4, 500
= $225
Hence, the Plimpton family spends $225 monthly on Entertainment.

Go Math Grade 7 Answer Key Module 14 Quiz Question 3.
How much more does the Plimpton family spend on food than on savings each month? ____
Answer:
Net monthly income of Plimpton family = $4, 500
Percentage of budget used for food = 17%
Percentage of budget used for saving = 7%
Amount spent on food = \(\frac{\text { Percentage }}{100}\) × Net monthly income
Amount spent on food = \(\frac{17}{100}\) × 4, 500
= 0.17 × 4,500
= $765
Amount spent on saving = \(\frac{7}{100}\) × 4, 500
= 0.07 × 4,500
= $ 315
Hence, Plimpton family spend $765 monthly on food and $315 is saving.

Question 4.
What percent of the net monthly income goes to housing? ____
Answer:
Net monthly income of Plimpton family = $4, 500
Amount from budget that goes to housing = $1,485

Percentage of budget on housing = \(\frac{1,485}{4500}\) × 100
= 0.33 × 4,500
= 33%
Hence, Plimpton family spend 33% of monthly budget on housing.

14.2 Planning a Budget

Question 5.
Ms. Wofford and her two sons live in Lubbock, Texas, where she makes $3,200 a month. She is thinking of transferring to Abilene and uses an online family budget estimator to see her potential monthly expenses. Use the table below. Is a transfer to Abilene a good financial move for the Woffords? Explain.

Answer:
Minimum monthly saving of Ms. Wofford in Lubbock = 3,111 – 2, 951 = $160
Minimum monthly saving of Ms. Wofford in Abilene = 2,812 – 2,775 = $37
Now on comparing the minimum monthly saving in both the city, we can see that saving in the Lubbock is more as
compared to the saving in Abilene. So for Ms. Wofford transfer to Abilene will, be not a good financial move.
Hence, transfer to Abilene will be not good move for Ms. Wofford.

14.3 Constructing a Net Worth Statement

Question 6.
Calvin lives in a home with a value of $185,000 and has a mortgage of $ 145,000. He has a stock portfolio worth $ 11,700. He owns his car, which is valued at $10,500. He has $15,300 in student loans to repay. He has a credit card balance of $6,228. He also has $3,400 in a bank account. What is Calvin’s net worth? ____
Answer:
Net worth = Value of assets – Value of Liabilities
= $210,600 – $166,528
= $44,072
Hence, Calvin’s net worth is $44 072

Texas Go Math Grade 7 Module 14 Mixed Review Texas Test Prep Answer Key 

Selected Response

Question 1.
Which of the following is an example of income?
(A) insurance
(B) emergency savings
(C) wages
(D) taxes
Answer:
(C) wages
Wages are the amount which anyone receives when he/she completes the work. So wages is an income for any anyone.

Grade 7 Math Module 14 Answer Key Question 2.
Which of the following is an example of a variable expense?
(A) weekly martial arts lesson
(B) rent
(C) entertainment
(D) monthly bus pass
Answer:
(C) entertainment
Variable expenses are the expense that varies over the time. Variable expanse is never fixed and depends on the daily life of persons. Examples of variable expenses are snacks, entertainment, etc.

Question 3.
A boating company on the lake charges a $10 equipment fee and $5.50 per hour to rent a canoe. Write the equation of the linear relationship.
(A) y = 10x + 5.5
(B) y = 10x + 55
(C) y = 55x + 10
(D) y = 5.5x + 10
Answer:
(D) y = 5.5x + 10
Equipment fee of boating company = $10
Per hour charge for renting canoe = $5.50
Renting charge of canoe for x hours = 5.5 × x
Total cost of renting canoe for x hours = Equipment fee + Renting fee for x hours.
In linear equation form : y = 10 + 5.5x
Hence, Option D is correct answers.

Question 4.
Barry owns a home with a value of $170,000. He owes $4,400 on his cat, which is valued at $11,500. He has $9,500 in student loans to repay. He owns $3,300 worth of musical equipment. He has a credit card balance of $2,117. He also has $2,900 in a bank account. What is Barry’s net worth?
(A) $157,483
(B) $171,683
(C) $165,883
(D) $175,917
Answer:
(B) $171,683


Net worth = Value of assets – Value of Liabilities
= $187,700 – $16,017
= $171,683

Module 14 Quiz Answer Sheet Go Math Grade 7 Question 5.
Which of the following is an example of an asset?
(A) car loan
(B) credit card bill
(C) savings bond
(D) rent
Answer:
(C) savings bond
Assets are something that we own and it has some positive cash value which means we will get some money when we sell it. Savings bonds are issued by the government and when we sell them back to the government after a certain duration of time we will get money back with an additional amount of interest.

Gridded Response

Question 6.
The Garza family consists of two adults and two children. Their current monthly income is $4,800. The circle graph shows their monthly budget. How much money in dollars do the Garzas spend on housing each month?


Answer:
Current monthly income of Garza family = $4, 800
Percentage of budget used for housing = 30%
Amount spent on housing = \(\frac{\text { Percentage }}{100}\) × Net monthly income
Amount spent on housing = \(\frac{30}{100}\) × 4, 800
= 0.3 × 4,800
= $1440
Hence, the Garza family spends $1440 monthly on housing.

Refer to our Texas Go Math Grade 7 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 7 Unit 7 Study Guide Review Answer Key.

Texas Go Math Grade 7 Unit 7 Study Guide Review Answer Key

Taxes, Interest, and Incentives

Texas Go Math Grade 7 Unit 7 Exercises Answer Key

Question 1.
Find the sales tax for each product, using a sales tax rate of 8.5%. Then find the product’s total price and the total for the entire purchase. Round to the nearest hundredth. (Lesson 13.1)

Answer:

The total cost including taxes is $50.18

Unit 7 Study Guide Answer Key Texas Go Math Grade 7 Solutions Question 2.
Claire earns a monthly paycheck of $2,900. Federal withholding is 12.8% of her gross pay. Complete the table. (Lesson 13.1)

Answer:

Net pay is $2,360.95

Question 3.
Bette has $10,000 to put into savings accounts. She puts half into an account that earns simple interest at an annual rate of 3.1%. She puts the other half into an account that earns interest at an annual rate of 2.6% compounded annually. After 10 years, which account will earn more money? How much more? (Lesson I 3.2)
Answer:
Total amount of money that Bette have = $10, 000
Rate of simp[e interest for half money = 3.1%
Rate of compound interest for remaining half money = 2.6%
Time duration for which money is kept in bank account = 10 years
Simple interest of half money for 10 year = \(\frac{5,000 \times 3.1 \times 10}{100}\)
= \(\frac{155,000}{100}\)
= $1,550
Total amount = 5000 + 1550 = $6550
Compound interest of half money for 10 year = 5000(1 + 0.026)¹⁰
= 5000 × 1.29
Total amount = $6463.14
Difference in total amount after 10 years = 6550 – 6463.14 = $86.86
Hence, a simple interest account will earn more money.

Unit 7 Math Test 7th Grade Review and Preview Answer Key Question 4.
Barack can buy a four-pack of mangos for $2.76 or a six-pack of mangos for $4.32. Which is the better buy? Explain. (Lesson 13.3)
Answer:
Case 1
Cost of four pack of mangos = $2.76
Now we with find cost of pack = \(\frac{2.76}{4}\) = $0.69
Case 2
Cost of six pack of mangos = $4.32
Now we will find cost of 1 pack = \(\frac{4.32}{6}\) = $0.72
First case in which four pack of mango cost $2.76 will be better option for buying because the after calculating the cost of one pack in each case we can see that in first case it is lesser as compared to second case.
Hence, four pack of mango for $2.76 is better buy.

Planning Your Future

Example 1.
The circle graph shows the Morales family’s monthly budget. Their fixed expenses are housing, savings, and an emergency fund. Use the graph to find the amount the family spends on fixed expenses.

Exercises

For 1-3, use the graph from the Example. (Lesson 14.1)

Question 1.
How much money does the Morales family spend on clothing each month?
Answer:
Net monthly income of Morales’s family = $5,200
Percentage of budget used for clothing = 6%
Money spent monthly on clothing = \(\frac{\text { Percentage }}{100}\) × Net monthly income
= \(\frac{6}{100}\) × 5,200
= 0.06 × 5,200
= $312
Hence, Morales family spend $312 per month on clothing

Question 2.
How much more money does the Morales family spend on food than on entertainment?
Answer:
Net monthly income of Morales’s family = $5. 200
Percentage of budget used for Food = 15%
Percentage of budget used for Entertainment 4%
Money spent monthly on Food = \(\frac{\text { Percentage }}{100}\) × Net monthly income
= \(\frac{15}{100}\) × 5,200
= 0.25 × 5,200
= 0.15 × 5,200
= $780
Money spent monthly on Entertainment = \(\frac{\text { Percentage }}{100}\) × Net monthly income
= \(\frac{4}{100}\) × 5,200
= 0.04 × 5,200
= $208
Difference of spending in month = 780 – 208 = $572
Hence, Morales family spends $572 more on food than entertainment

Unit 7 7th Grade Study Guide Answer Key Go Math Question 3.
The air conditioning in the Morales’s house is broken. The repair service estimated that the cost of repairing it is $1,040. How many months of emergency funds will the family use to fix the air conditioning?
Answer:
Net monthly income of Morales’s family = $5, 200
Percentage of budget used for emergency fund = 5%
Cost of repairing air conditioning = $1,040
Honey spent monthly on Emergency fund = \(\frac{\text { Percentage }}{100}\) × Net monthly income
= \(\frac{5}{100}\) × 5,200
= 0.05 × 5,200
= $260
Number of month for which emergency fund will be used = 2\(\frac{1040}{260}\) = 4
4 months of emergency fund will be used for repairing of air condition.

Question 4.
Mr. and Mrs. Clark have two children. They live in Waco, Texas. They may move to Austin to be closer to their parents. Their employers pay for 100% of one parent’s health insurance premium and 50% of the premium for other family members. Use an online family budget estimator to estimate to the nearest dollar, the following for the Clark family in Waco and in Austin.(Lesson 14.2)

Answer:


Household hourly wage are $17 and $20 respectively.

Question 5.
Rashid paid off his car, which is worth $6,500. He has a credit card balance of $325. He has $4250 in his savings account and $672 in his checking account. He owes $3,600 in student loans. He lives with his parents. What is Rashid’s net worth? (Lesson 14.3)
Answer:


Rashid’s net worth = Assets vaLue – Liabilities value
= 11,422 3,925
= $7,497
Hence, Rashid’s net worth is $7, 497.

Texas Go Math Grade 7 Unit 7 Performance Tasks Answer Key

Question 1.
CAREERS IN MATH Freelance Computer Programmer Andre works as a freelance computer programmer, and his laptop has stopped working. He is purchasing a new laptop, which he needs to have in 2 days in order to meet a job deadline. He lives in Massachusetts, which has a 6.25% sales tax. He is considering these three options for the purchase:
Buy it online for $1,499, pay sales tax, and pay $24 priority shipping.
Buy it in Massachusetts for $1,479.
Buy it in New Hampshire for $1,549 with no sales tax.

a. Calculate the total cost for each option. Which is the best deal?
Answer:
Determine the total cost for each option.
Online:
1,499 × 0.0623 = 93.6875 Determine the sales tax
1,499 + 93.6875 + 24 = 1, 616.6875 Determine the cost
Massachusetts:
1,479 × 0.0625 = 92.4375 Determine the sales tax
1.479 + 92.4375 = 1,571.4375 Determine the cost
Buying in New Hampshire will cost $1,549. Based on the three deals, the lowest deal is buying the laptop in New Hampshire.
The total cost for each deal, showed that the lowest deal is buying the laptop in New Hampshire.

b. List other factors that relate to the purchase that could also affect Andre’s decision.
Answer:
The factors that would affect Andre’s decision as to where to purchase a Laptop.

• The mode of transportation from Massachusetts to New Hampshire and vice-versa. If he has a car, then it is not a problem. If public transportation, the fare going to and from Massachusetts to New Hampshire.
• The availability of the Laptop in New Hampshire or in Massachusetts.
• The condition of the Laptop when it is purchased online.

The factors that would affect Andre’s decision.

Grade 7 Unit 7 Test Answer Key Texas Go Math Question 2.
Grant is going to purchase several large pizzas for a party. He has two options for local pizza shops as described below.
Hank’s Pizza: For every two pizzas, get a third at half price.
Antonio’s: 20% off of all orders of $40 or more.

a. Write a paragraph that describes the other information Grant needs in order to compare these options. Include both facts that relate to the pizzas and facts that relate to the event.
Answer:
First Grant needs to know how many people will come to his party. With this, he can estimate the number of pizzas
he will order. Grant also needs to know the price and the size of the Large pizza to compare the options. Also, Grant needs to consider the distance of the pizza shop to his house for the time of delivery.
The number of guests; the price and size of large pizza and distance of the pizza shop to his house.

b. Suppose large pizzas cost $13 at each shop. Compare the total cost at each shop for 3 pizzas and for 6 pizzas.
Answer:
Determine the total cost at each pizza shop.
Ordering 3 pizzas at Hank’s Pizza:
(2 × 13) + (13 ÷ 2) = 32.50
Ordering 6 pizzas at Hanks Pizza. Since the 3 pizzas would cost $32.50, multiply it by 2:
32.50 × 2 = 65
Ordering 3 pizzas at Antonio’s:
3 × 13 = 39
No discount because the total price is less than $10.
Ordering 6 pizzas at Antonio’s:
6 × 13 = 78
The cost is more than $40, there is a discount of 20%
78 × 0.20 = 15.6
78 – 15.6 = 62.4
at Hank’s Pizza (3 pizzas) = $32.50; (6 pizzas) = $65; at Antonio’s (3 pizzas) = $39; (6 pizzas) = $62.10

Texas Go Math Grade 7 Unit 7 Mixed Review Texas Test Prep Answer Key

Selected Response

Evan makes $2,800 a month and has $750 withheld as federal income tax. Use this information for 1-3.

Question 1.
How much does Evan pay for Social Security, which is 6.2% of his monthly salary?
(A) $127.10
(B) $173.60
(C) $2,626.40
(D) $2,672.90
Answer:
(B) $173.60

Net monthly income of Evan = $2, 800
Percentage of income that Evan pay for Social Security = 6.2%
Social Security payment = \(\frac{\text { Percentage }}{100}\) × Net monthly income of Evan
= \(\frac{6.2}{100}\) × 2,800
= 0.062 × 2,800
= 0.062 × 2,800
= $173.60

Question 2.
How much does Evan pay for Medicare, which is 1.45% of his monthly salary?
(A) $29.73
(B) $40.60
(C) $2,759.40
(D) $2,770.27
Answer:
(B) $40.60

Net monthly income of Evan = $2,800
Percentage of income that Evan pay for Medicare = 1.45%
Medicare payment = \(\frac{\text { Percentage }}{100}\) × Net monthly income of Evan
= \(\frac{1.45}{100}\) × 2, 800
= 0.0145 × 2, 800
= $40.60
Total deduction = $750 + $173.60 + $40.60 = 964.2
Net Pay = Gross pay – Total deduction
= $2,800 – $964.2
= $1,835.80

Question 3.
What is Evan’s net monthly pay?
(A) $1,835.80
(B) $1,876.40
(C) $2,050
(D) $2,585.80
Answer:
(A) $1,835.80

Net monthly income of Evan = $2,800
The amount withheld as Federal Income tax = $750
Amount Paid for Social Security = $173.60
Amount Paid for Medicare = $40.60
Medicare payment = \(\frac{\text { Percentage }}{100}\) × Net monthly income of Evan
= \(\frac{1.45}{100}\) ×
= 0.0145 x 2, 800
= $40.60
Total deduction = $750 + $173.60 + $40.60 = 964.2

7th Grade Unit 7 Test Study Guide Answer Key Question 4.
Which of the following is not an example of a fixed expense?
(A) weekly martial arts lesson
(B) monthly bus pass
(C) vacation
(D) rent
Answer:
(C) vacation

Vacation expense is not an example of Fixed expense because when we go on vacation the expenses are not strictly fixed. The expenses on vacation depend on different factor such as our mood, place, etc. So the expense amount is never fixed.

Question 5.
Bonnie deposits $180 in a savings account that earns simple interest at an annual rate of 3%. How much interest does her account earn after 10 years?
(A) $0.54
(B) $5.40
(C) $54
(D) $540
Answer:
(C) $54

Given Principal amount which is deposited in bank = $180
Rate of simple interest annually = 3%
Duration for which amount is kept in bank = 10 years
Simple interest for 10 year = \(\frac{180 \times 3 \times 10}{100}\)
= \(\frac{5400}{100}\)
= $54
Simple interest in 10 year will be $54

Question 6.
Shelby can purchase a 4-pound item from several different retailers. Which is the best buy?
(A) online for $19, plus shipping and handling costs $0.89 per pound
(B) online for $20, plus shipping and handling costs $0.59 per pound
(C) $29.95 with a $5-off coupon
(D) regularly priced for $30 on sale for 25% off
Answer:
(B) online for $20, plus shipping and handling costs $0.59 per pound

Total cost = $19 + (4 × 0.89) = $22.56
Total cost = $20 + (4 × 0.59) = $22.36
Total cost = $29.95 – $5 = $24.95
Total cost = $30 – (0.25 × 30) = $22.50
Hence, option B will be correct answer because in this case the cost of 4 pound items is least as compared to the other three options.

Question 7.
Which of the following is not an example of an expense?
(A) savings
(B) entertainment
(C) wages
(D) snacks
Answer:
(C) wages

Wages is not example of expense because it is the amount which we get after working for someone or any organisation. Wages are the source of income Whereas expenses are the amount which we give in order to buy
something or for any service we get.

Question 8.
Mr. Burr and his daughter live in Corpus Christi, Texas. Mr. Burr’s employer pays 100% of his insurance premium and 50% of the premiums for the rest of the family. His total monthly expenses according to an online family budget estimator are about $2,100. His payroll and income taxes are $257 and he gets tax credits of $245, what is his necessary monthly income?
(A) $2,088
(B) $2,817
(C) $2,112
(D) $3,827
Answer:
(C) $2,112

The family budget is $2100, the payroll and income taxes are $215 and the tax credits is $257, therefore the minimum montii1 income is $2100 + $245 – $257 = $2112, therefore C.

Question 9.
Which represents the solution for the inequality 6x – 9 < 9?
(A) x < 3 (B) x ≤ 3 (C) x > 3
(D) x ≥ 3
Answer:
(A) x < 3

Given in problem : 6x – 9 < 9
6x – 9 < 9 (Given)
6x – 9 + 9 < 9 + 9 (Adding ‘9’ on both side)
6x < 18 (Adding)
x < \(\frac{18}{6}\) (Dividing both side by ‘6’)
x < 3 (Simplifying)
Hence, option A is correct answer.

Question 10.
Anthony owns a home with a value of $140,000. He also owns a motorcycle worth $7,000. He has $22,500 in student loans to repay. He owes 9 monthly payments of $55 ‘each for his keyboard. He has a credit card balance of $785. He also has $3,400 in a bank account. What is Anthony’s net worth?
(A) $112,620
(B) $126,620
(C) $119,820
(D) $128,190
Answer:
(B) $126,620

Anthony’s net worth = Assets value – Liabilities value
= 150,400 – 23,780
= $126,620
Hence, option B is correct answer.

Question 11.
What is the volume of a triangular prism that has a height of 36 meters and a base with an area of 15 square meters?
(A) 180 m³
(B) 270 m³
(C) 360 m³
(D) 540 m³
Answer:
(D) 540 m³

Given base area of triangular prism = 15 metre²
Given height of triangular prism = 36 meter
Volume of triangular prism = Area of base × Height of triangular prism
= 36 × 15 m³
= 540 m³
Hence, Option D is correct answer.

Question 12.
Which of the following is an example of an asset?
(A) student loan
(B) money in a savings account
(C) credit card debt
(D) house mortgage
Answer:
(B) money in a savings account

Assets are something which we own and it has some positive cash value.
Money in a saving account will be the assets because money in our saving account is something which we own and
it has positive cash value. With this amount we can buy anything according to our need, also which will, have some positive cash value.
option B is correct answer

Grade 7 Unit 7 Study Guide Math Review Answer Key Question 13.
A bag contains 3 white marbles and 6 black marbles. You pick out a marble, record its color, and put the marble back in the bag. If you repeat this process 36 times, how many times would you expect to remove a black marble from the bag?
(A) 9
(B) 12
(C) 24
(D) 27
Answer:
(C) 24

Number of white marbles = 3
Number of black marbles = 6
Number of times for which experiment is repeated = 36

No of times in which black ball is removed = \(\frac{6}{9}\) × 36
= 6 × 4
= 24
Hence, option C is correct answer.

Gridded Response

Question 14.
Neelie bought a pair of shorts for $17.99 and 2 T-shirts for $6.89 each. What is the total price in dollars including an 8% sales tax?

Answer:
Cost of a pair of shorts = $17.99
Cost of 2 T-shirts = 2 × $6.89 = $13.78
Cost of shorts and T-shirts = 17.99 + 13.78 = $31.77
Given rate of saLes tax = 8%
Tota price including sates tax = 31.77 × (1 + 0.08)
= 31.77 × 1.08
= $34.31
Hence, the total cost including sales tax is $34.31

Hot Tip!

Underline key words given in the test question so you know for certain what the question is asking.

Question 15.
Len deposited $400 into an account earning interest at an annual rate of 2.5% compounded annually. What is the amount of interest in dollars that the account will earn after 5 years?

Answer:
Given Principal amount which is deposited in bank = $400
Rate of compound interest annually = 2.5%
Duration for which amount is kept in bank = 5 years
Total amount in account after 5 year = 400 × (1 + 0.025)⁵
= 400 × (1.025)⁵
= 400 × 1.131
= $452.56
Hence, total amount after 5 year will be $452.56.

Texas Go Math Grade 7 Unit 7 Vocabulary Preview Answer Key

Use the puzzle to preview key vocabulary from this unit. Unscramble the circled letters within found words to answer the riddle at the bottom of the page.

1. The things you own that have a positive cash value. (Lesson 14.3)
2. The amount of money you earn. (Lesson 14.1)
3. A plan for managing your money to help you reach your financial goals. (Lesson 14.1)
4. Debts you owe that have a negative cash value. (Lesson 14.3)
5. Expenses that occur regularly and stay the same (2 words). (Lesson 14.1)
6. The difference between assets and liabilities (2 words). (Lesson 14.3)

Question:
What did the fisherman give to the IRS?
A: His __ __ ___ __ __ __ __ ___!
Answer:

Refer to our Texas Go Math Grade 7 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 7 Lesson 14.3 Answer Key Constructing a Net Worth.

Texas Go Math Grade 7 Lesson 14.3 Answer Key Constructing a Net Worth

Texas Go Math Grade 7 Lesson 14.3 Explore Activity Answer Key 

Identifying Financial Assets and Liabilities

Assets are the things you own. They have a positive cash value. Examples of assets are goods that are paid for and owned, such as houses, cars or bicycles, positive bank accounts, and savings bonds.

Liabilities are the debts you owe. They have a negative cash value. Examples of liabilities are car loans, house mortgages, credit card debt, or student loans.

For each description in the table below, decide whether the item is an asset or a liability. Explain your reasoning.

Reflect

Calculating Your Net Worth Lesson 9.4 Answer Key Question 1.
Critical Thinking How do you decide if something like a computer is an asset or a liability?
Answer:
The computer is an asset
Because assets are that thing which we owe and it has positive cash value. So in case of computer once we buy it we own it And also computer has positive cash value. This means that computer is assets and when we will sell it we will get some cash.
Computer is an assets

Your Turn

Determine whether each described item is an asset or a liability. Explain your reasoning.

Question 2.
George leases a car for $175 per month.
Answer:
Leasing a car will be liability
Because liabilities are those thing for which we have to pay and it has negative cash value. So in case of George who is leasing a car for $175 per month. lie has to pay $175 each month and this amount will be considered as the fixed exp expense. So every month owes the debit of $175 which means leasing a car is liabilities.
Leasing a car wilL be Liability

Question 3.
Morgana pays cash for a new flat screen television.
Answer:
Paying cash for new teLevision is asset
Because assets are those thing which we owe and it has positive cash value. So in case of buying new television once we buy it we own it. And also the television has positive cash value. This means that television is assets and when we will sell it in future we will get some cash.
Paying cash for new television is asset

Example 1

Use the information below to construct a net worth statement to find Toni’s current net worth.

Toni paid off her motorcycle, which is worth $6,000. She owes 12 monthly installments of $65 each for her computer. She pays $45 per month for her cell phone and her contract lasts 1 year. She has $584 ¡n her checking account and $1,255 in her savings account. Toni owes $173 on her credit card. Her electronic appliances are valued at $1,641. Her share of the rent and utilities for the apartment she shares with roommates is $425 per month, and her lease lasts for another 6 months.

Step 1 List and total Toni’s assets.

Step 2 List and total Toni’s liabilities.

Step 3 Subtract total liabilities from total assets to find Toni’s net worth.
Net worth = value of assets – value of liabilities

Toni’s current net worth is $5,437.

Reflect

Go Math Pdf Assets and Liabilities Worksheet 7th Grade Question 4.
Critical Thinking Why is the monthly payment for Toni’s computer loan multiplied by 12 to find the total liability?
Answer:
Monthly installment of Toni’s computer loan = $65
Yearly instalment of computer 12 × $65 = $780
Here we multiplied the monthly installment of computer with 12 because when we are finding the total Liabilities or assets the calculations are done on a yearly basis. In this case we are given with monthly payment of a computer loan
so to find the total loan payment of computer in a year we have to multiply it by 12.
Because total liability are calculated on yearly basis.

Question 5.
What If? What if Toni did not own her motorcycle? Suppose she bought it with a loan and must make monthly payments of $240 per month for 2 more years. How will this change her current net worth? Explain.
Answer:
If did now own her motorcycle and she bought it with loan a loan of $240 per month then in his assets list $600 will be Subtracted and in liabilities list 12 × 24 = $2880 will he add. The calculation is shown below:
Current value of assets = $9,480 – $6000 = $3,480
Current value of lininlities = $4.043 + $2880 = $6,923
Current Net Worth = Value of assets – value of liabilities
= $3480 – $6923
= -$3443
Hence, current net worth of Toni is -$3443

Your Turn

Question 6.
Andre owns a condominium with a value of $145,000. He has a stock portfolio worth $8,300. He owes $3,700 on his car, which is valued at $9,500. He has $7,200 in student loans to repay. He has a credit card balance of $4,372. He also has $2,600 in a bank account. Construct a net worth statement to find Andre’s net worth.
Answer:
List of Andre’s total assets:

List of Andre total liabilities:

Net worth = Value of assets – Value of liabilities
= $165,400 $15,272
= $150, 128
Hence, Andre net worth is $150,128

Texas Go Math Grade 7 Lesson 14.3 Guided Practice Answer Key  

Statement of Net Worth Grade 7 Texas Go Math Answers Question 1.
Complete the table below. For each description, either decide whether the item is an asset or a liability or explain the reasoning. (Explore Activity)

Answer:

Home mortgage is considered as liability

Question 2.
Rachel lives in a home with a value of $195,000 and has a mortgage of $160,000. She has electronic equipment worth $2,325. She is paying off the equipment with a loan of $875. Her car, which she owns, is worth
$9,300. She has $6,890 in a bank account and $1,437 on her credit card. She owes $4,800 in student loans. She has a piano worth $1,200. Construct a net worth statement to find Rachel’s net worth. (Example 1)
Step 1 List Rachel’s assets and their values.
Step 2 Find the total of Rachel’s assets. ______
Step 3 List Rachel’s liabilities and their values.
Step 4 Find the total of Rachel’s liabilities.____
Step 5 Find Rachel’s net worth.
Net worth = ___________
Rachel’s net worth is ____.
Answer:
List of Rachel’s total assets:

List of Rachel’s total liabilities :

Net worth = Value of assets – Value of liabilities
= $214, 715 $167. 112
= $47,603
Hence, Rachel’s net worth is $47, 603

Essential Question Check-In

Question 3.
How can you calculate your net worth?
Answer:
To calculate my net worth first i will list my all the assets and all the liabilities. Then we will calculate the current
values of my all the assets and liabilities. Once we are done with the current values of my all assets and liabilities,
we will add the total value of assets and total values of Liabilities separately. At last to find my net worth i will subtract the total value of Liability from the total assets value.
Net Worth = Value of assets – Value of Liabilities

Texas Go Math Grade 7 Lesson 14.3 Independence Practice Answer Key   

Question 4.
Communicate Mathematical Ideas Travis pays cash for an e-reader. The value of the e-reader is $1,200. He buys a stereo system with his credit card. The value of the stereo system is $2,300. Is the e-reader an asset or a liability? Is the stereo system an asset or a liability? Explain.
Answer:
e-reader will be asset for Tiavis because he has already paid the price of e-reader which is $1, 200. So now he owns the e-reader and it has some positive cash value which mean it will considered as asset.

But in case of stereo system Travis has not paid the amount of stereo system by himself. Travis has paid through credit card so she owes the same amount which he has to pay in future. So currently stereo system has negative cash value which means it will be considered a liability.
e-reader is assets and stereo system is liability

Go Math 7th Grade Answer Key Pdf Net Worth Question 5.
Estimate your net worth.
a. Create a table like the one below. List your assets. Include items such as your clothes, shoes, furniture, electronics (for example, a computer or a stereo), sports equipment, a musical instrument, money in a savings account, and savings bonds. Estimate the values.


Answer:

b. Create a table like the one below. List your liabilities. Include items such as any money borrowed from your parents, pre-ordering video games, or belonging to a club with monthly dues. Estimate the values.

Answer:

c. What is your approximate net worth? ______
Answer:
Net worth = Value of assets – Value of liabi[ities
= $3,400 – $1,850
= $1,550
Hence, my net worth is $1550
My net worth is $1550

Question 6.
Analyze Relationships In 2011, according to the Federal Reserve, the median net worth of people underage 35 was $14,200. The median net worth of those from 35 to 44 was $69,400.
a. About how many times as great was the net worth of those from 35 to 44 as compared to those under 35?
Answer:
Median net worth of people who under age 35 = $14, 200
Median net worth of people who who’s age 35 to 44 = $69, 400

Hence, the median net worth of people who’s age is between 35 to 4.88 times the median net worth of people who’s age is under 35.

b. Why do you think the median net worth is so much greater?
Answer:
The median net worth is so much greater because after the age of 35 people start saving money and they are investing in deferent area such as owning the house or car etc. This way their net worth start increasing.
4.88 times

H.O.T. Focus on Higher Order Thinking

Question 7.
Critique Reasoning Paul has a stock portfolio worth $21,000. His home is valued at $325,000. His car is valued at $18,000. He owes $322,000 on his mortgage and $16,250 on his car loan. His credit card debt is $11,750. He owes student loans of $17,300. Because the value of his home and his car exceed their loans and his stock portfolio exceeds his credit card and student loan debt, Paul says he has a positive net worth. Is this true? Explain.
Answer:


Net worth = Value of assets – Value of Liabilities
= $361, 000 $367, 300
= -$3,300
Hence, Paul’s net worth is negative and it is – $3, 300

Texas Go Math Grade 7 Lesson 9.4 Answer Key Question 8.
Explain the Error Jessie wants to buy a guitar. She has enough money in her bank accounts to pay cash for a new guitar for $1,150 or a used guitar for $500. Jessie wants to choose the guitar that has a better impact on her net worth. Why is this not a good approach for making the decision?
Answer:
Choosing a guitar should not be based upon which one should have a better impact on the net worth This is because, for example, if you are to purchase a used guitar and the quality is not as good as a brand-new guitar then over time the used guitar could not be useful anymore and you wouLd purchase a guitar. Sometimes, purchasing an item should be based on its quality in order to save money because the Life span of the item will be longer.
Purchasing an item should be based on its quality in order to save money because the life span of the item is longer.

Question 9.
Multistep Carla has a scooter worth $3,200. Her computer is worth $900. She owes $800 on her scooter and $483 on her credit card. Her personal property has a value of $2,100. She has $3,000 in her bank accounts and a mutual fund valued at $4,600. She wants to take out a $2,800 loan to buy some new appliances. The value of the appliances after purchase will go down 20%. How will the purchase of the appliances change Carla’s net worth? Explain.
Answer:
Determine the net worth of Carla.
3, 200 + 900 + (-800) + (-483) + 2, 100 + 3,000 + 4, 600 = 12, 517
The net worth of Carla is $12. 517. If she will take out $2,800 to purchase new appliances, her net worth will be:
12,517 – 2,800 = 9,717
If the purchased appliances will go down 20%, the appliances will be worth it.
Show 20% as decimal.
2. 800 × 0.20 = 560
2,800 – 560 = 2,240
Carla’s net, worth will then be:
9,717 + 2,240 = 11,957
The net worth of Carla will decrease by $560 once she purchases the new appliances because the value of the appliances will go down.
The net worth of Carla will decrease by $560 because of the purchased new appliances.

Texas Go Math Grade 7 Solutions Lesson 9.4 Answer Key Question 10.
Critical Thinking Do you think it is a good idea to track net worth monthly? Why?
Answer:
No, I don’t think tracking net work monthly is a good idea.
Because net worth is calculated on the basis of total assets and Liabilities which you have at the end of the financial or normal year if we start calculating net worth monthly every month our net worth will differ with a big margin. Some of our debts like credit card bills, and car loans, are paid monthly and these will be considered liabilities when we calculate net worth including these liabilities we may end up having net worth which will be not accurate or even close to our original net worth.
No, I don’t think tracking net work monthly is a good idea.

Refer to our Texas Go Math Grade 7 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 7 Lesson 14.2 Answer Key Planning a Budget.

Texas Go Math Grade 7 Lesson 14.2 Answer Key Planning a Budget

Texas Go Math Grade 7 Lesson 14.2 Explore Activity 1 Answer Key

The Jones family includes two parents and two children. The family lives in Beaumont, Texas. They have an employer-sponsored ¡nsurance plan where the employer pays 100% of one parent’s insurance premium and 50% of the rest of the family’s premiums.

A. The table shows the minimum monthly expenses, rounded to the nearest dollar, for the family. The data is based on an online family budget estimator. Use this information to fill out the first column of rows 1-7 of the form given on the next page.

B. What is the combined household hourly wage for the Joneses? What does this mean if both parents are looking for a job and Mr. Jones finds a job paying $10 per hour?

C. The Joneses earn $600 more each month than the necessary monthly income. This allows them to save for retirement, emergencies, and college. Complete the chart for 8-10.

Your turn

Texas Go Math Grade 7 Solutions Lesson 14.2 Planning A Budget Question 1.
Mr. Wilson and his daughter Shannon live in El Paso, Texas. Mr. Wilson’s employer pays 100% of his health insurance premium and 50% of his daughter’s. Use an online family budget estimator to estimate the minimum necessary monthly income and the hourly household wage for this family.
Answer:


Necessary monthly income is $2250

Texas Go Math Grade 7 Lesson 14.2 Explore Activity 2 Answer Key

Exploring a Family Budget in Different Cities

Living in different parts of the country or the state can mean different budgets for even the same family. This may be because housing is more expensive in one area compared to another, or perhaps transportation costs are generally higher because most people live in the suburbs and have a further commute to work. The Jones family is considering a move to the Dallas—Fort Worth area. The table shows the expenses from the table in Activity 1, as well as the data from an online family budget estimator for living in the Dallas—Fort Worth area.

A Fill in the missing blanks for the Dallas—Fort Worth area. Round to the nearest dollar.

B. Compare the cost of living in Beaumont to the cost of living in the Dallas—Fort Worth area.

Your Turn

Texas Go Math Grade 7 Lesson 14.2 Independent Practice Answer Key Question 2.
Mr. Wilson and his daughter are thinking of moving to Austin. Use an online family budget estimator to compare the monthly required income in Austin with your results for the monthly required income you found for the Wilsons in El Paso.
Answer:


Necessary income in Austin is $17

Texas Go Math Grade 7 Lesson 14.2 Guided Practice Answer Key 

Question 1.
Mr. and Mrs. Dominguez have three children. They live in Corpus Christi, Texas. Their employers do not pay any of their health insurance. Use an online family budget estimator to estimate each of the following for the Dominguez family. Fill in the chart for Corpus Christi. (Explore Activity 1)

Answer:
Mr and Mrs Dominguez’s family’s Budget in Corpus Christi, Tx:


Hourly wage is $17.6

Go Math Grade 7 Answer Key Picture Description Question 2.
Complete the chart to show how the Dominguez family’s budget might change if they move to Lubbock, TX. (Explore Activity 2).
Answer:
Mr & Mrs Dominguez’s family’s budget in Corpus Christi, TX:


Necessary income in Lubbock is $20.80

Question 3.
How does the amount needed to live in Lubbock differ from the amount needed to live in Corpus Christi? (Explore Activity 2)
Answer:
The necessary amount needed in the Lublock is $3000 including tax but the amount needed to live in Corpus Christi is $3350. This is because the living cost is bit higher in Lubbock as compared to the living cost in Corpus
Christi. Cost like housing rent and transportation is higher in Lubhock than Corpus Christi. And due to this the household hourly wage is also more in Lubbock titan in Corpus Christi. The household cost in Corpus Christi is
$17.6 while in Lubbock it is $20.80.
Difference in amount = Difference of necessary income both city
= $3350 83000
= $550
The difference in the necessary income of both the city is $550

Texas Go Math Grade 7 Lesson 14.2 Independent Practice Answer Key  

Texas Go Math Grade 7 Budget or Bust Answer Key Question 4.
Multistep Andre and his parents are comparing family budgets in Midland, Texas, and San Antonio, Texas. Andre does not have any siblings. His parents have an employer-sponsored health plan.
a. Use an online family budget estimator to complete the table.

Answer:

b. How do the monthly expenses in San Antonio compare to those in Midland?
Answer:
The necessary amount needed in the Mildihild is $2100 including tax but the amount needed to live in San Antonio $3100. So, this means that the living cost in San Antonio is more as compared to the living cost of Midland. Cost like housing rent and transportation is higher in San Antonio than Midland.
Difference in amount = Difference of necessary income both city
= $3100 – $2400
= $700
Monthly expense in San Antonio is $3100 but in Midland, it is $700

Question 5.
Justify Reasoning Jolene and her two children live in Texarkana, Texas. Jolene has employer-sponsored health insurance. She earns an annual salary of $68,000. How does her monthly income compare to the necessary monthly income to live in Texarkana? Use an online family budget estimator to estimate the necessary monthly income. Explain your thinking.
Answer:
Annual Salary: $68,000.
Using the book, monthly expenses are:

Since \(\frac{68000}{12}\) = 5,666.66 is enough for handling the monthly expense of the family.
The necessary monthly income of $68. 000 is moderately enough for living in Texarkana.

Go Math Grade 7 Pdf Budget Worksheet Answer Key Question 6.
Choose a city in Texas that you would like to live in as a single adult, after graduating from college. Use an online family budget estimator to compare possible budgets with and without employer-sponsored health insurance.

Answer:


The necessary monthly income differs by $200

Question 7.
Draw Conclusions Luke earns an hourly wage of $ 14 and works 160 hours per month. He is a single adult living in Odessa, Texas. He does not have employer-sponsored health insurance. Luke’s expenses follow the budget outlined in an online family budget estimator, except that his rent is $435 and he spends about $230 on other necessities. Does Luke have enough additional money each month to buy a computer with monthly payments of $216? Explain.
Answer:
Monthly Saving of Luke = Monthly income – Monthly expenses
= $2240 $1415
= $825
Their monthly saving of Luke is $825 and the monthly payment for his computer is $216 which is less as compared to saving. So, yes Luke has enough additional money each month to pay for the computer.
Yes, Luke has enough money to pay each month for your computer.

Texas Go Math Grade 7 Answer Key Pdf Budget Question 8.
Analyze Relationships The Richardson family has two parents and two children. Their company is opening branches in Houston, McAllen, and Denison. The family needs to move to one of the cities. They use an online family budget estimator for no-employer insurance to help compare living expenses in each city. In Houston, they estimate they will exceed the estimated budget by $1,600. The salary offer for Houston is $68,000. In McAllen, they estimate they will exceed the estimated budget by $1,300. The salary offer for McAllen is $62,000. In Denison, they estimate they will exceed the estimated budget by $1,400. The salary offer for Denison is $67,000. If the family wants to save as much money as possible, which city should they choose? Explain.
Answer:
They should move to Denison because even though the salary offer for the city is $67000. that is $1000 less than that at Houston. the monthly excess in the budget is $1600 – $1400 = $200 less than that from Houston. It is a further $1600 – $1300 = $300 less monthly in McAllen but the salary is only $62000 which is way less than either Houston or Denison.
The Richardson family should move to Denison.