# Lesson Worksheet: Linear Functions Mathematics • 8th Grade

In this worksheet, we will practice identifying, writing, and evaluating a linear function and completing its function table.

Q1:

Fill in the input-output table for the function .

 Input Output 0 2 4 5 … … … …
• A3, 13, 23, 28
• B3, 12, 23, 28
• C0, 12, 23, 28
• D3, 13, 23, 27
• E0, 13, 23, 28

Q2:

Evaluate , given that .

• A
• B
• C
• D
• E

Q3:

Evaluate , given that .

• A
• B
• C
• D
• E

Q4:

Given the function , what is the output of this function when the input is 4?

Q5:

If , where and , find the value of .

Q6:

Given that satisfies the relation , find the value of .

Q7:

Which of the following satisfies the relation ?

• A
• B
• C
• D
• E

Q8:

Given that satisfies the relation , find the value of .

Q9:

Which of the following relations is satisfied by both the point and the point ?

• A
• B
• C
• D
• E

Q10:

Which of the following pairs all satisfy the relation ?

• A
• B
• C
• D
• E

Q11:

Given that satisfies the relation , find the value of .

Q12:

Fill in the missing values given that the following pairs satisfy the relation : , , , and .

• A
• B
• C
• D
• E

Q13:

Given that satisfies the relation , find the value of .

Q14:

Which of the following relations does the point not satisfy?

• A
• B
• C
• D
• E

Q15:

Which of the following does the point satisfy?

• A
• B
• C
• D
• E

Q16:

Select the linear function whose graph is contained in the line .

• AThe line with intercepts and
• B,
• C
• D

Q17:

Find the coordinates of the points , , and given .

• A
• B
• C
• D

Q18:

Evaluate , given that .

• A
• B
• C
• D
• E

Q19:

Consider a linear function .

Give an expression for .

• A
• B
• C
• D
• E

What can you conclude about the way a linear function grows?

• AA linear function grows by a constant value over a constant interval .
• BA linear function grows by a constant value over a constant interval .
• CA linear function grows by a constant value over a constant interval .
• DA linear function grows by a constant value over a constant interval .
• EA linear function grows by a constant value over a constant interval .

Q20:

Evaluate , given that .

• A
• B
• C
• D
• E

Q21:

Answer the following questions for the functions and .

Complete the table of values for .

 𝑥 −2 −1 0 1 2 𝑦
• A
• B
• C
• D
• E

Complete the table of values for .

 𝑥 −2 −1 0 1 2 𝑦
• A
• B
• C
• D
• E

Use the tables of values to determine the intersection point of the two graphs.

• A
• B
• C
• D
• E

Q22:

A bookstore sells used paperback books for \$11.00 each and used hardcover books for \$15.00 each. Find a function rule that shows the total selling price of both types of books, and then determine the price of 8 paperback and 3 hardcover books. Let represent the number of paperback books, the number of hardcover books, and the total selling price of both types of books.

• A, \$43.00
• B, \$133.00
• C, \$153.00
• D, \$133.00
• E, \$87.00

Q23:

Find the range of given where .

• A
• B
• C
• D

Q24:

Find , and in coordinate form and the range of the function .

• A, range
• B, range
• C, range
• D, range

Q25:

Find given where .