8th Grade Math Test Prep – Functions and Slope

8th Grade Math Test Prep – Functions and Slope

8th grade math · test prep · state test style

1. Multiple choice. Circle the correct answer.

1. Which equation describes a line with slope 2 and y-intercept −3?

a) y = 2x − 3b) y = −3x + 2c) y = 2x + 3d) y = 3x − 2

2. A tank holds 60 gallons and drains 4 gallons a minute. After how many minutes is it empty?

a) 64b) 240c) 15d) 56

3. Where does the line y = 3x + 6 cross the x-axis?

a) (0, 6)b) (2, 0)c) (−2, 0)d) (6, 0)

4. Which point lies on the line y = −2x + 5?

a) (2, 9)b) (−1, 3)c) (2, 1)d) (1, 2)

5. A plumber charges a $40 visit fee plus $25 an hour. Which equation gives the cost C for h hours?

a) C = 65hb) C = 25h + 40c) C = 25h − 40d) C = 40h + 25

6. For the function y = 4x − 1, what is y when x = 3?

a) 7b) 13c) 11d) 12

2. Circle T if the sentence is true or F if it is false.

The graph of y = 2x passes through the origin.TF

A function can give two different outputs for the same input.TF

The lines y = 3x + 1 and y = 3x − 4 never meet.TF

A horizontal line has a slope of 0.TF

In y = mx + b, b is the y-intercept.TF

3. Open response. Show your work and write the answer.

A taxi charges $3 to start plus $2 per mile. Write an equation for the cost C of a ride of m miles. How much does a 12-mile ride cost? How many miles can you ride for $25?

Answer:

Find the equation of the line through the points (0, 4) and (2, 10). Then find y when x = 5.

Answer:

Gym A costs $30 a month. Gym B costs $15 a month plus a $90 joining fee. After how many months do both gyms cost the same in total?

Answer:

About this worksheet

A functions test for 8th grade math test prep: slope from two points and from a table, slope-intercept form y = mx + b, intercepts, points on a line, parallel lines, linear and nonlinear functions, and linear models of real situations (a taxi fare, a plumber’s bill, a draining tank). The questions take the forms of end-of-year state math tests: multiple choice, true or false, and open-response problems with room to show the work. Every print draws other multiple-choice and true-or-false questions in another order, and the answer key marks the right answers.

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