Course 3 • Chapter 3 Equations in Two Variables 67

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Write the letter for the correct answer in the blank at the right of each question.

1. What is the slope of a ski run that rises 5 feet for every horizontal change of 20 feet?

A. 1 −

20 B. 1 −

5 C. 1 −

4 D. 20 −

5

2. What is the constant rate of change between the two quantities in the table?

Number of Hours (x) 2 4 6 8Snowfall (inches) (y) 3 6 9 12

F. 3 −

2 G. 2 −

3 H. -2 −

3 I. -3 −

2

3. What is the slope of the line that passes through the points E(5, 1) and F(2,-7)?

A. 8 −

3 B. 3 −

8 C. -

3 −

8 D. -

8 −

3

4. The cost of peanuts varies directly with the number of pounds bought. If 3 pounds of peanuts cost $6.30, what is the cost of 4.5 pounds?

F. $7.35 G. $8.40 H. $9.45 I. $10.05

5. What are the slope and y-intercept for the graph of y - 3x = -1. A. slope: 1, y-intercept: 3 C. slope: -3, y-intercept: 1 B. slope: 3, y-intercept: -1 D. slope: -1, y-intercept: -3

6. What is the equation in slope-intercept form for graph shown? F. y + x = −2 G. y - 2x = 1 H. y = 2x + 1 I. y = -2x + 1

7. What are the x- and y-intercepts for the graph of 4x - 3y = -12? A. x-intercept: -3, y-intercept: - 4 B. x-intercept: 3, y-intercept: 4 C. x-intercept: 3, y-intercept: - 4 D. x-intercept: -3, y-intercept: 4

Test, Form 2B

y

x1

1

1.

2.

3.

4.

5.

6.

7.

C

F

A

H

B

I

D

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Course 3 • Chapter 3 Equations in Two Variables68

NAME _____________________________________________ DATE __________________ PERIOD _________

SCORE _________Copyright ©

The McG

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ill Companies, Inc. Perm

ission is granted to reproduce for classroom use.

Test, Form 2B (continued)

8. At store A, rulers are sold individually. The cost y of x rulers is represented by the equation y = 0.95x. The costs of rulers at store B are shown in the table.

Number of Rulers (x) 5 10 15 20Cost (y) $4.60 $9.20 $13.80 $18.40

Which of the following statements is true? F. The rulers at store A cost more. G. The rulers at store A cost $0.90 each. H. The rulers at store B cost $0.90 each. I. The rulers at store B cost more.

9. What is the equation in slope-intercept form for the line that passes through the points (-1, 3) and (-2, -3)?

A. y = 6x - 9 C. y = -6x - 9

B. y = 6x + 9 D. y = -6x + 9

10. What is the solution of the system of equations below? y + 2x = 2 y + 4x = 0 F. (1, -4) G. (-1, -4) H. (-1, 4) I. (1, 4)

11. Georgia is renting two kinds of rowboats for the campout. One type of rowboat seats 3 people and the other seats 5 people. If 53 people will be at the campout and she rents 13 boats, how many of each type of boat does she rent?

12. Homer is saving for a harmonica. He already has $15 saved and intends to save $4 each week. The equation for the amount of money y he has saved is y = 4x + 15, where x is the number of weeks. What do the slope and y-intercept represent?

13. Solve the system by graphing.

y = 3x + 4

y = x + 2

8.

9.

10.

11.

12.

13. y

xO 1

1

F

B

H

6 boats seating 3 people, 7 boats seating 5 people

slope: amount he saves each week; y-intercept: the amount already saved

(-1, 1)

(-1, 1)

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