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Linear Functions Quiz

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Linear Functions Quiz

Show your calculations where helpful. Use Canadian dollars where a cost is given.

Multiple Choice

1.For the linear function y = 4x − 7, what is the rate of change?

−7
4
7
11

2.Which set of values shows a linear function with a rate of change of 3?

x: 0, 1, 2, 3; y: 2, 5, 8, 11
x: 0, 1, 2, 3; y: 1, 3, 6, 10
x: 0, 1, 2, 3; y: 3, 6, 12, 24
x: 0, 1, 2, 3; y: 8, 6, 4, 2

3.A bike rental costs $6 to start, plus $4.50 for each hour. Which equation gives the total cost C for h hours?

C = 6h + 4.50
C = 4.50h + 6
C = 4.50h − 6
C = (6 + 4.50)h

4.A linear function has these values: x: −1, 0, 1, 2; y: 1, 4, 7, 10. What is its y-intercept?

Problem Solving

5.Use y = −3x + 12 to complete the table. For x = 0, 1, 2, find y; also find the x-value when y = 0.

6.A monthly streaming plan costs $18, plus $0.20 for each movie rental. Write an equation for the monthly cost C when r movies are rented, then find the cost for 7 rentals.

7.A growing tile pattern has 4 tiles in Figure 1, 7 in Figure 2, 10 in Figure 3, and 13 in Figure 4. Write a rule for the number of tiles T in Figure n.

8.Plot the points from the table on a coordinate plane and state whether they lie on a straight line. x: −2, −1, 0, 1; y: −5, −2, 1, 4.

Analysis

9.A reservoir contains 150 L of water and loses 10 L each minute. Make a table of the water remaining after 0, 4, 8, and 12 minutes. Then state the rate of change and determine when the reservoir will be empty.

10.A straight line passes through (0, −2) and (5, 13). Find its rate of change, write its equation in the form y = mx + b, and calculate y when x = 7.