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 2 Quiz Answer Key.

## Texas Go Math Grade 7 Module 2 Quiz Answer Key

**Texas Go Math Grade 7 Module 2 Ready to Go On? Answer Key**

**2.1 Unit Rates**

**Find each unit rate. Round to the nearest hundredth, if necessary.**

Question 1.

$140 for 18 ft^{2} _____________

Answer:

140 ÷ 18 ≈ $7.78 per ft^{2}

Question 2.

$2.99 for 14 lb ______________

Answer:

2.99 ÷ 14 ≈ $0.21 per lb

**Circle the better deal in each pair. Then give the unit rate for the better deal.**

Question 3.

\(\frac{\$ 56}{25 \mathrm{gal}}\) or \(\frac{\$ 32.05}{15 \mathrm{gal}}\) ____________

Answer:

56 ÷ 25 = $2.24 per gal

32.05 ÷ 15 ≈ $2.14 per gal

First deal is better.

Question 4.

\(\frac{\$ 160}{5 \mathrm{~g}}\) or \(\frac{\$ 315}{9 \mathrm{~g}}\) ____________

Answer:

160 ÷ 5 = $32 per gram

315 ÷ 9 = $35 per gram

First deal is better.

**2.2 Constant Rates of Change**

Question 5.

The table shows the amount of money Tyler earns for mowing lawns. Is the relationship a proportional relationship? Why or why not?

Answer:

\(\frac{\text { Amount Earned }(\$)}{\text { Number of Lawns }}: \frac{15}{1}=15 \quad \frac{30}{2}=15 \quad \frac{48}{3}=16\)

We can stop here because the constant are not equal. Thus, relationship is not proportional.

Question 6.

On a recent day, 8 euros were worth $9 and 24 euros were worth $27. Write an equation of the form y = kx to show the relationship between the number of euros and the value in dollars.

_____________ , where y is dollars and x is euros

Answer:

\(\frac{9}{8}\) = 1.125

\(\frac{27}{24}\) = \(\frac{9}{8}\) = 1.125

k = 1.125

y = 1.125 x

**2.3 Proportional Relationships and Graphs**

Question 7.

The graph shows the number of servings in different amounts of frozen yogurt listed on a carton. Write an t equation that gives the number of servings y in x pints.

Answer:

The relationship is obviously proportional. Thus. we only need 1 point to determine the constant.

\(\frac{5}{2}\) = 2.5

y = 2.5x

Question 8.

A refreshment stand makes 2 large servings of frozen yogurt from 3 pints. Add the line to the graph and write 2 its equation.

Answer:

\(\frac{2}{3}\) servings per pint Equation: y = \(\frac{2}{3}\) x.

**Essential Question**

Question 9.

How can you use rates to determine whether a situation is a proportional relationship?

Answer:

Rates need to be the equal for a relationship to be proportional.

**Texas Go Math Grade 7 Module 2 Mixed Review Texas Test Prep Answer Key**

**Selected Response**

Question 1.

Kori spent $46.20 on 12 gallons of gasoline. What was the price per gallon?

A. $8. 35

B. $3.85

C. $2.59

D. $0.26

Answer:

B. $3.85

46.20 ÷ 12 = 3.85$ per gallon

Question 2.

A rabbit can run 35 miles per hour. A fox can run 21 miles in half an hour. Which animal is faster, and by how much?

A. The rabbit is faster by 7 miles per hour.

B. The fox is faster by 7 miles per hour.

C. The rabbit is faster by 14 miles per hour.

D. The fox is faster by 14 miles per hour.

Answer:

C. The rabbit is faster by 14 miles per hour.

The rabbit runs can run more miles per hour, that means he is faster.

35 – 21 = 14

The rabbit is faster by 14 miles per flour.

Question 3.

A pet survey found that the ratio of dogs to cats is \(\frac{2}{5}\). Which proportion shows the number of dogs if the number of cats is 140?

Answer:

Question 4.

What is the cost of 2 kilograms of flour, if 3 kilograms cost $4.86 and the unit price for each package of flour is the same?

A. $0.81

B. $2.86

C. $3.24

D. $9.72

Answer:

C. 3.24

First, notice that 2 is equal to \(\frac{2}{3}\) of 3. Thus, price of 2 kilograms will be \(\frac{2}{3}\) of the price of 3 kilograms.

4.86 × \(\frac{2}{3}\) = 3.24

The price of 2 kilograms of flour is $3.24.

Question 5.

One gallon of paint covers about 450 square feet. How many square feet will 1.5 gallons of paint cover?

A. 300 ft^{2}

B. 451.5 ft^{2}

C. 675 ft^{2}

D. 900 ft^{2}

Answer:

C. 675 ft^{2}

First, notice that 1.5 is equal to 1 × 1.5. Thus, 1.5 galLons of paint wilL cover 1.5 × 450 (how much 1 gallon covers).

1.5 × 450 = 675

1.5 gallons will cover 675 ft^{2}.

Question 6.

The graph shows the relationship between the late fines the library charges and the number of days late.

What is an equation for the relationship?

A. y = 0.25x

B. y = 0.40x

C. y = 0.50x

D. y = 0.75x

Answer:

A. y = 0.25x

First, notice that points form a line. Thus, we will need only one point to determine the equation of the relationship.

y ÷ x = 0.5 ÷ 2 = 0.25

The equation of a relationship is y = 0.25x.

**Gridded Response**

Question 7.

School is 2 miles from home along a straight road, The table shows your distance from home as you walk home at a constant rate. Give the constant of proportionality as a decimal.

Answer:

From the given table you could see that the distance from home is not proportional to time, but the distance from school is proportional to time Using the equation y = kx, the formula for the constant of proportionality is:

k = \(\frac{2-y}{x}\)

Determine the value of k or the constant of proportionality.

The constant of proportionality is 0.05.