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

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

**7.1 Linear Relationships in the Form y = mx + b**

Question 1.

Darice also took a break after riding 10 miles. The table below shows the rate at which Darice rides her bicycle after the break.

Write a verbal description of the relationship between the time she rides and the distance she travels.

Answer:

Dance was riding a bike 10 miles plus an additional 0.25 miles after each break.

**7.2 Writing and Graphing Equations in the Form y = mx + b**

Emir started out a card game with 500 points. For every hand he won, he gained 100 points.

Question 2.

Complete the table.

Answer:

y = 100 ∙ x + 500

Question 3.

Plot the points on the graph.

Answer:

y = 100 ∙ x + 500

Question 4.

Write an equation for the linear relationship.

Answer:

y = 100 ∙ x + 500

**Essential Question**

Question 5.

What are some of the ways you can represent real-world linear relationships?

Answer:

Real-world relationships can be represented by graphics. tables, and equations.

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

**Selected Response**

Question 1.

Which description corresponds to the relationship shown in the table?

(A) earning $10 an hour

(B) earning $8 an hour plus a $10 bonus

(C) earning $7 an hour plus a $15 bonus

(D) earning $9 an hour

Answer:

(B) earning $8 an hour plus a $10 bonus

Explanation:

90 – 50 = 40 Find the diferrence between two payments.

\(\frac{40}{5}\) = 8 Find how much is paid for 1 hour.

50 – 40 = 10 Find a bonus.

Question 2.

Which equation represents the same linear relationship as the graph below?

Answer:

(A) y = 1.2x + 32

(B) y = 1.5x + 20

(C) y = 0.75x + 50

(D) y = 0.8x + 45

Answer:

(C) y = 0.75 ∙ x + 50

Explanation:

Our points on the graph are:

A = (40,80)

B = (80,110)

C = (120, 140)

D = (160, 170)

Replacing the value of point A in the solution under (A) we get:

80 = 1.2 ∙ 40 + 32 = 80

This is correct

Replacing the value of point B in the solution under (A) we get:

110 = 1.2 ∙ 80 + 32 = 128

This isn’t correct.

By repeating the procedure, we will conclude that alt points are solutions of the equation under (C)

Question 3.

Omar began the week with $25. He took a city bus to and from school, paying $1.25 for each trip. Let x be the number of trips he took and y be the amount of money he had left at the end of the week. Which equation represents the relationship in the situation?

(A) y = 1.25x + 25

(B) y = 25 – 1.25x

(C) x = 25 – 1.25y

(D) y = 1.25x – 25

Answer:

(B) y = 25 – 1.25x

Explanation:

The right answer is (B) y = 25 – 1.25 ∙ x, because he spends money on the bus, so the sum of money that remains to be reduced after each payment of trip.

Question 4.

Which table represents the same linear relationship as the equation y = 5x + 7?

Answer:

Table (B)

Explanation:

The table represent the equation

y = 5 ∙ x + 7

Question 5.

Selina is planning to paint a large picture on a wall. She draws a smaller version first. The drawing is 8 inches by 6 inches. If the scale of the drawing is 2 in: 1 ft, what is the area of the actual picture on the wall?

(A) 4 feet

(B) 3 feet

(C) 48 square inches

(D) 12 square feet

Answer:

(D) 12 square feet

Explanation:

The answer is (D) 12 square feet

The area of the drawing is 8 ∙ 6 = 48 in.

Because scale of the drawing, the area of the actual picture on the wall is

\(\frac{8}{2} \cdot \frac{6}{2}\) = 4 ∙ 3 = 12 square feet

**Gridded Response**

Question 6.

The equation y = 3.5x – 210 represents the profit made by a manufacturer that sells products for $3.50 each, where y is the profit and x is the number of units sold. What is the profit in dollars when 80 units are sold?

Answer:

y= 3.5 ∙ x – 210 ……….. (1)

Variable x is the number of sold units

Variable y represents the profit.

We have 80 sold units so x = 80.

Substitute this value for x in equation (1):

y = 3.5 ∙ 80 – 210 = 70

y = 70