Characteristics of
Linear Functions
Function
Notation
Equations &
Inequalities
Systems
Potpourri
100

What is the rate of change?

4x - 3y = 24


What is 4/3?

100

If f(x) = 4(1 - x), what is f(-7)?

What is 256?

100

What value of y makes a true statement?

1/2(5y - 14) = -4(y - 21)

What is 14?

100

What is the solution to the system of equations?

y = -3/14x + 16

y = 8/7x - 3

What is (14, 13)?

100

The value of y varies directly with x and (-21, 15) is a solution.  What equation represents this relationship?

(No Decimals)

What is y = -7/5x?

200

What is the y-intercept?

y + 9 = 2/3(x + 6)

What is -5?

200

If g(x) = -3x + 7, what is the value of x if g(x) = -17?

What is x = 8?

200

What value of k makes a true statement?

-17(k + 20) - 11(1 + 3k) = 49

What is -8?

200
What is the value of x in the solution to the system of equations?

y = 1/8x - 4

y = -1/2x + 6


What is x = 16?

200

The amount earned varies directly as the number of hours worked.  Lisa worked 8 hours and earned $102.  How much will she earn if she works 13 hours?

What is $165.75?

300

What is the zero of the linear function?

9x - 12y = 72

What is x = 8?

300

If f(2) = 8 and f(-5) = -9.5, 

what is f(11)?

What is 30.5?

300

What is the solution set?

-4(1 - 16m) > 12(6m + 1)

What is m < -2?

300

What is the solution to the system of equations?

y - 4x = -26

10x + 3y = -12

What is (3, -14)?

300

What is the solution set?

8x - 6y > 30

What is y < 4/3x - 5?

400

What is the equation of the line that is parallel to the given line and passes through (0, 9)?

6x + 3y = 18

What is y = -2x + 9?

400

If h(x) = 4x - 1 and p(t) = -5x + 2, 

what is h(6) + p(9)?

What is -20?


400

Three more than twice a number is -17.  

What is the number?

What is -10?

400

Mike has a total of 17 dimes and quarters worth $3.05.  How many quarters does he have?

What is 9 quarters?

400

Which expression is equivalent?

(5x + 3) - (7x2 - 6 - 9x) - (2x + 4x2)

What is -11x2 + 12x + 9?

500

What is the equation of the line that is perpendicular to the given line and passes through (0, -8)?

y - 3 = -1/3(x - 12)

What is y = 3x - 8?

500

If g(x) = 9 - x2 and h(x) = 2x + 3, 

what is g(5) - h(-10)?

What is 1?

500

Kira opened her account with $50.  She plans to deposit $30 each week.  How many weeks will it take her to save enough money to purchase a $400 laptop?

What is 12 weeks?

500
The perimeter of a rectangle is 32 cm.  The length is one more than twice the width.  What is the length of the rectangle?

What is 11 cm?

500

Is (8, 9) in the solution set? Show your work.

3x - 4y > -12

What is NO?