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Linear Functions Quiz

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Linear Functions Quiz

Linear function graph illustration

📊 Part 1: Multiple Choice

1. What is the rate of change (slope) for the linear function y = 3x + 5?

3

5

8

15

2. Which table represents a linear function with a rate of change of 2?

x: 1, 2, 3, 4 | y: 3, 5, 7, 9

x: 1, 2, 3, 4 | y: 2, 4, 8, 16

x: 1, 2, 3, 4 | y: 1, 3, 6, 10

3. A taxi charges $3.50 plus $2.25 per kilometre. Which expression represents the total cost (C) for d kilometres?

C = 2.25d + 3.50

C = 3.50d + 2.25

C = 2.25d - 3.50

C = (2.25 + 3.50)d

4. From the table below, what is the y-intercept?

x: 0, 1, 2, 3 | y: 4, 7, 10, 13

0

3

4

7

✏️ Part 2: Problem Solving

5. Complete the table for the linear function y = -2x + 8:

x: 0, 1, 2, _____ | y: _____, _____, _____, 2

6. A phone plan costs $25 per month plus $0.15 per minute for calls over 100 minutes.

a) Write an expression for the total monthly cost (C) if you use m minutes over 100.

b) What would be the total cost for using 150 extra minutes?

7. From the pattern below, write the expression for the nth term:

Term 1: 5 dots | Term 2: 8 dots | Term 3: 11 dots | Term 4: 14 dots

Expression: ________________

8. Graph the points from this table on a coordinate plane and identify if it's linear:

x: -1, 0, 1, 2 | y: -3, -1, 1, 3

🎯 Part 3: Analysis

9. A water tank starts with 120 litres and drains at 8 litres per minute.

a) Create a table showing the water level after 0, 5, 10, and 15 minutes:

b) What is the rate of change? ________________

c) After how many minutes will the tank be empty? ________________

10. Look at this linear graph description: The line passes through points (0, 3) and (4, 11).

a) Calculate the rate of change: ________________

b) Write the equation in the form y = mx + b: ________________

c) What is the y-value when x = 6? ________________

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