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## Texas Go Math Grade 7 Module 1 Quiz Answer Key

**Texas Go Math Grade 7 Module 1 Ready to Go On? Answer Key**

**1.1 Rational Numbers and Decimals**

**Write each mixed number as a decimal.**

Question 1.

4\(\frac{1}{5}\) __________

Answer:

First. write \(\frac{1}{5}\) as a decimal.

Then, add 4 to the result.

4 + 0.2 = 4.2

**Module 1 Grade 7 Quiz Answer Key Go Math Question 2.**

12\(\frac{14}{15}\) _________

Answer:

First. write \(\frac{14}{15}\) as a decimal.

Then, add 12 to the result.

12 + \(0.9 \overline{3}\) = \(12.9 \overline{3}\)

Question 3.

5\(\frac{5}{32}\) ___________

Answer:

First. write \(\frac{5}{32}\) as a decimal.

Then, add 5 to the result.

5 + 0.15625 = 5.15625

**1.2 Relationships Between Sets of Numbers**

Question 4.

Are all whole numbers rational numbers? Explain.

Answer:

True Every whole number is included in the set of integers, and every integer is incLuded in the set of rational numbers.

Whole numbers are a subset of the set of rational numbers

**1.3 Adding Rational Numbers**

**Find each sum.**

Question 5.

4.5 + 7.1 = _____________

Answer:

11.6

Question 6.

5\(\frac{1}{6}\) + (-3\(\frac{5}{6}\)) = ____________

Answer:

Write mixed fractions as proper fractions.

**1.4 Subtracting Rational Numbers**

**Find each difference.**

Question 7.

–\(\frac{1}{8}\) – (6\(\frac{7}{8}\)) = _____________

Answer:

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

= -7

**Grade 7 Go Math Module 1 Answer Key Question 8.**

14.2 – (-4.9) = ___________

Answer:

= 14.2 + 4.9

= 19.1

**1.5 Multiplying Rational Numbers**

**Multiply.**

Question 9.

-4(\(\frac{7}{10}\)) = _______________

Answer:

Question 10.

-3.2(-5.6)(4) = ___________

Answer:

The result will be positive, because the expression has an even number of negative signs.

= 3.2(5.6)(4)

= 17.92(4)

= 71.68

**1.6 Dividing Rational Numbers**

**Find each quotient.**

Question 11

–\(\frac{19}{2}\) Ã· \(\frac{38}{7}\) = _______________

Answer:

= -8 Ã· \(\frac{38}{7}\)

Write using multiplication:

= -8 Ã— \(\frac{7}{38}\)

= – \(\frac{28}{19}\) (= -1\(\frac{9}{28}\))

**Mathematics Module 1 Grade 7 Quiz Answers Question 12.**

\(\frac{-32.01}{-3.3}\) = ___________

Answer:

The quotient will be positive because the signs are the same.

Write decimal numbers as fractions:

\(\frac{\frac{3201}{100}}{\frac{33}{10}}\)

Write the complex fraction as division:

\(\frac{3201}{100}\) Ã· \(\frac{33}{10}\)

Write using multiplication:

\(\frac{3201}{100}\) \(\frac{10}{33}\) = \(\frac{97}{10}\)

= 9.7

**Essential Question**

Question 13.

How can you use rational numbers to represent real-world problems?

Answer:

We can use rational numbers to represent real-world problems by expressing some kind of ratio.

E g

Martha planted 30 flowers, 24 of them did not wither. Her success rate was \(\frac{24}{31}\).

**Texas Go Math Grade 7 Module 1 Mixed Review Texas Test Prep Answer Key**

**Selected Response**

Question 1.

What is -7\(\frac{5}{12}\) written as a decimal?

A. -7.25

B. -7.333.

C. -7.41666…

D. -7.512

Answer:

C. -7.41666…

First, write \(\frac{5}{12}\) as a decimal.

Then, add 7 to the result.

7 + \(0.41 \overline{6}\) = \(7.41 \overline{6}\)

Now, since the starting number was negative, this one has to be negative too.

-7\(\frac{5}{12}\) = –\(7.41 \overline{6}\)

Question 2.

Which set or sets does the number -9\(\frac{1}{2}\) belong to?

A. Integers only

B. Rational numbers only

C. Integers and rational numbers only.

D. Whole numbers, integers, and rational numbers

Answer:

B. Rational numbers only

-9\(\frac{1}{2}\) is a mixed fraction. Thus, it is onLy a rational number.

Question 3.

Renee ate \(\frac{1}{4}\) of a pizza, and Sumi ate of the same pizza. How much of the pizza did they eat in all?

A. \(\frac{1}{7}\) of the pizza

B. \(\frac{2}{7}\) of the pizza

C. \(\frac{5}{12}\) of the pizza

D. \(\frac{7}{12}\) of the pizza

Answer:

D. \(\frac{7}{12}\) of the pizza

We have to add how much Renee ate, and how much Sumi ate.

\(\frac{1}{4}\) + \(\frac{1}{3}\) = \(\frac{3+4}{12}\)

= \(\frac{7}{12}\)

Renee and Sumi ate \(\frac{7}{12}\) of the pizza

Question 4.

Kareem had $25 in his bank account on Monday. The table shows his account activity for the next four days. What was the balance in Kareemâ€™s account on Friday?

A. $59.23

B. -$9.23

C. $9.23

D. -$59.23

Answer:

A. $59.23

Use positive numbers to represent deposit and negative numbers to represent withdrawal. Then, add it up to the account’s balance before any deposits or withdrawals, 25.

25 + (-13.50) + 85.10 + (-55.32) + 17.95 = 25 + 85.10 + 17.95 – 13.50 – 55.32

= – 110.10 + 17.95 – 13.50 – 55.32

= 128.05 – 13.50 – 55.32

= 114.55 – 55.32

= 59.2:3

The balance is in Kareemâ€™s account. on Friday was $59.23.

**Grade 7 Math Module 1 Answer Key Quiz Answers Question 5.**

A used boat is on sale for $2,400. Austin makes an offer equal to this price. How much does Austin offer for the boat?

A. $3,600

B. $1,600

C. $1,800

D. $800

Answer:

C. $1,800

Start by multiplying 2400 and \(\frac{2}{3}\).

2400 Ã— \(\frac{2}{3}\) = 1600

Austin offers $1600.

Question 6.

Working together, 9 friends pick 23 bags of apples at an orchard. They divide the bags of apples equally between them. How many bags does each friend get?

A. 32\(\frac{2}{5}\) bags

B. 14\(\frac{2}{5}\) bags

C. 2\(\frac{3}{5}\) bags

D. 2\(\frac{5}{9}\) bags

Answer:

C. 2\(\frac{3}{5}\) bags

Start with dividing 23\(\frac{2}{5}\) by 9:

23\(\frac{2}{5}\) Ã· 9

Write mixed fraction as a proper fraction:

\(\frac{117}{5}\) Ã· 9

Write using multiplication:

\(\frac{117}{5}\) Ã— \(\frac{1}{9}\) = \(\frac{13}{5}\)

= 2\(\frac{3}{5}\)

Each friend gets 2\(\frac{3}{5}\) bags

Question 7.

The Flathead Rail Tunnel in Montana is about 7\(\frac{3}{4}\) miles long. A train travels at a speed of \(\frac{3}{4}\) mile per minute. How long will it take the train to go through the tunnel?

A. \(\frac{7}{16}\) minute

B. 5\(\frac{3}{16}\) minutes

C. 8\(\frac{1}{3}\) minutes

D. 10\(\frac{1}{3}\) minutes

Answer:

D. 10\(\frac{1}{3}\) minutes

Start with diving by 7\(\frac{3}{4}\) by \(\frac{3}{4}\).

Write mixed fraction as a proper fraction:

\(\frac{31}{4}\) Ã· \(\frac{3}{4}\)

Write using multiplication:

\(\frac{31}{4}\) Ã— \(\frac{4}{3}\) = \(\frac{31}{3}\)

= 10\(\frac{1}{3}\)

The train will 10\(\frac{1}{3}\) minutes to pass the tunnel.

**Gridded Response**

**Grade 7 Math Quiz Module 1 Test Answers Question 8.**

What is the value of (-2.75 )(-1 .16)?

Answer:

Given in problem: (-2.75)(-1.16)

SoLution will be: (- 2.75)(- 1.16) = +3.19

Final product of the expression will be positive because the product of two negative vaLue is always positive.

The table will be made as per below instructions:

1st column: mark + sign

2nd column : mark 0

3rd column : mark 0

4th column : mark 1

5th column : mark 7

6th column: mark 9

7th column: mark 4