Texas Go Math Grade 7 Module 2 Quiz Answer Key

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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 ft² _____________
Answer:
140 ÷ 18 ≈ $7.78 per ft²

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 ft²
B. 451.5 ft²
C. 675 ft²
D. 900 ft²
Answer:
C. 675 ft²

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 ft².

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.