Free Printable Functions and Slope Post Test

1.

Is this table proportional?

a)

Yes

b)

No

2.

It costs $8 for 16 cookies at a bake sale.

What is the proce per cookie (unit rate) represented by this situation?

a)

$\frac{1}{2}$

b)

$2 per cookie

c)

$8 per cookie

d)

$0.50 per cookie

3.

Match the Graph with its slope.

a)

1.

Negative

b)

2.

Positive

c)

3.

Zero

d)

4.

Undefined

4.

What happens to the graph of the equation $y = 3x$ when a constant $b = 4$ is added to form the equation $y = 3x + 4$ ?

a)

The line shifts 4 units to the right.

b)

The line shifts 4 units up.

c)

The line becomes steeper.

d)

The line shifts 4 units down.

5.

Which of the following is the slope of the line represented by the equation $y = -2x + 5$ ?

a)

5

b)

-2

c)

2

d)

-5

6.

Given the table of values below, which equation represents the linear function? | x | y | |---|---| | 1 | 3 | | 2 | 5 | | 3 | 7 |

a)

$y = 2x + 1$

b)

$y = x + 2$

c)

$y = 3x - 1$

d)

$y = 2x + 3$

7.

If the equation of a line is $y = \frac{1}{2}x + 3$ , what is the y-intercept?

a)

$\frac{1}{2}$

b)

3

c)

0

d)

2

8.

Graph the linear function given by the equation $y = -3x + 2$ . What is the slope of the line?

a)

2

b)

-3

c)

3

d)

-2

9.

What is the effect of adding a constant $b = -3$ to the equation $y = 2x$ to form $y = 2x - 3$ ?

a)

The line shifts 3 units to the right.

b)

The line shifts 3 units down.

c)

The line becomes steeper.

d)

The line shifts 3 units up.

10.

Given the situation: A taxi charges a flat fee of $3 plus$ 2 per mile. Which equation represents this situation?

a)

$y = 2x + 3$

b)

$y = 3x + 2$

c)

$y = 2x - 3$

d)

$y = 3x - 2$

11.

Match the Graph with its slope.

a)

1.

Negative

b)

2.

Positive

c)

3.

Zero

d)

4.

Undefined

12.

Write the linear function that models the table of values.

13.

Given the linear equation $y = 2x + 3$ , create a table of values for $x = -1, 0, 1, 2$ .

a)

$(-1, 1), (0, 3), (1, 5), (2, 7)$

b)

$(-1, 5), (0, 3), (1, 1), (2, -1)$

c)

$(-1, 0), (0, 2), (1, 4), (2, 6)$

d)

$(-1, -1), (0, 0), (1, 1), (2, 2)$

14.

Write the equation of a linear function in the form $y = mx + b$ given the table of values: $(0, 2), (1, 4), (2, 6), (3, 8)$ .

a)

$y = 2x + 2$

b)

$y = x + 2$

c)

$y = 2x$

d)

$y = 2x + 1$

15.

Create a context for the linear function $y = 3x + 5$ .

a)

A car rental company charges a flat fee of $5 and$ 3 per mile driven.

b)

A bakery sells cakes for $3 each and has a$ 5 delivery fee.

c)

A phone company charges $5 per month and$ 3 per text message.

d)

A gym membership costs $5 per visit and$ 3 for each additional class.

16.

Given the graph of a line with a slope of 4 and a y-intercept of -2, create a table of values for $x = -1, 0, 1, 2$ .

a)

$(-1, -6), (0, -2), (1, 2), (2, 6)$

b)

$(-1, 2), (0, 0), (1, 4), (2, 8)$

c)

$(-1, -4), (0, 0), (1, 4), (2, 8)$

d)

$(-1, -2), (0, 2), (1, 6), (2, 10)$

17.

Create a context for the linear function $y = -2x + 10$ .

a)

A store offers a $10 discount and charges$ 2 for each additional item.

b)

A taxi service charges $10 for the first mile and$ 2 for each additional mile.

c)

A water tank leaks at a rate of 2 gallons per hour, starting with 10 gallons.

d)

A phone plan costs $10 per month with a$ 2 charge for each call.

18.

Create a context for the linear function $y = \frac{1}{2}x + 6$ .

a)

A babysitter charges $6 per hour and an additional$ 0.50 for each child.

b)

A car travels at a speed of 0.5 miles per minute, starting 6 miles from home.

c)

A plant grows at a rate of 0.5 inches per day, starting at 6 inches tall.

d)

A movie ticket costs $6 with a$ 0.50 discount for each additional ticket.

19.

Creating tables from linear functions: Generate a table for the linear function y = -2x + 3 for x values -3, -2, -1, 0, and 1.

a)

The table for the linear function y = -2x + 3 is: (-3, 9), (-2, 7), (-1, 5), (0, 3), (1, 1)

b)

The table for the linear function y = -2x + 3 is: (-3, 6), (-2, 5), (-1, 4), (0, 3), (1, 2)

c)

The table for the linear function y = -2x + 3 is: (-3, -6), (-2, -5), (-1, -4), (0, -3), (1, -2)

d)

The table for the linear function y = -2x + 3 is: (-3, 3), (-2, 2), (-1, 1), (0, 0), (1, -1)

20.

Given the function $f(x) = 2x + 5$ , what is the output when the input is 3?

a)

11

b)

10

c)

9

d)

8

21.

Which point could be removed to make the graph below a function?

a)

$\left(-5,\ 4\right)$

b)

$\left(1,\ 4\right)$

c)

$\left(3,\ -9\right)$

d)

$\left(4,\ -1\right)$

22.

Which representation does NOT show y as a function of x?

a)

A

b)

B

c)

C

d)

D

23.

Match the table to the correct graph.

a)

b)

c)

24.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D: {-4, 0, 1, 2}
R:{-4, -3, 1}

c)

D: {0, 1, 2, 3, 4}
R:{1, -3, -4}

d)

D: {0, 1, 2, -4}
R: {1, -3, -4, 1}

25.

What is the range?

a)

{-3, -1, 2, 4}

b)

{0, 4, 7}

c)

{0, 4, 4, 7}

d)

{7, 4, 0}

26.

Does the graph represent a function?

a)

Yes, because the vertical line test shows there are no repeating input values

b)

No, because the vertical line test shows there are repeating input values

27.

All of the x values or inputs are called what?

a)

Domain

b)

Range

28.

What is the domain?

a)

{-2, -1, 0, 1, 8}

b)

{3, 5, 7 , 9, 0}

c)

{-2, -1, 0, 1, 3, 5, 7, 8, 9}

d)

{-2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

29.

Is this set of ordered pairs a function or not a function?

a)

Function

b)

Not a Function

30.

Which one of these examples is a function?

a)

b)

c)

d)

(3,2), (3,2), (4,2)

Functions and Slope Post Test

Total questions: 30

Worksheet time: 50mins

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