Linear Function Math Pre-Assessment

Kate borrows $450 from her father and agrees to pay him back the same amount each month without interest. After 6 months, she still owes her father $360.
Choose the linear function that models the amount Kate owed her father each month since she borrowed the money.

• y = 360 - 90x

• y = 360 - 15x

• y = 450 - 90x

• y = 450 - 15x

What is the y-intercept of Function 1?

• 1

• 0

• -1

• -2

What is the y-intercept and rate of change of the line?

• y-intercept = 8, rate of change = 1/4

• y-intercept = 12, rate of change = 1/4

• y-intercept = 8, rate of change = 4

• y-intercept = 12, rate of change = 4

How can we be sure that the function y = 6x + 3 is linear?

• It's graph is a line

• It follows y = mx + b

• Its slope is 2 times its y-intercept

• Both A and B

• A
• B
• C
• D

The diagram shows a linear function of g. What is the value of k.

• 5

• 4

• 7

• 8

Which of the following representations are linear functions?

• I only

• III only

• Only II and III

• Only I and III

Which input/output pairs match the graph?

• { (-2,6) , (3,0) , (2,0) , (4,3) }

• { (6,-2) , (3,0) , (0,2) , (3,4) }

• { (-2,-6) , (3, 0) , (0,2) , (4,3) }

• { (-2,-6) , (0,-3) , (2,0) , (4,3) }

Given the graph of the line, which is the correct linear equation?

• y = -3x - 6 

• y = 3x - 6 

• y = 3x +2

• y = 1/3x -6

Solve for x. 
2 + x + 3x = 18

• x = 4

• x = 12 1/4

• x = 16

• x = 24