Free Printable Algebra Unit 7 Functions

1.

What is the range of the following graph?

a)

-5, -1, 0 , 1, 5

b)

-4, -2, 0, 3, 6

c)

(-4, 1) ( 6, 0)

d)

(6, 0)

2.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

3.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

4.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

5.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

6.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

7.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

8.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

9.

What is the range of the graph?

a)

1 ≤ x ≤ 5

b)

1 < x < 5

c)

1 ≤ y ≤ 5

d)

1 < y < 5

10.

What is the domain of the graph?

a)

1≤ x ≤ 4

b)

1 < x < 4

c)

1≤ y ≤ 4

d)

1 < y < 4

11.

Is this a function? Explain.

a)

Yes; it passes the horizontal line test.

b)

No; it is not a straight line.

c)

Yes; it passes the vertical line test.

d)

No; there is a line connecting the dots.

12.

What is the domain of the graph?

a)

-7 ≤ x < 5

b)

-3 ≤ x < 1

c)

-3 ≤ y < 1

d)

-7 ≤ y < 5

13.

What is the range of the graph?

a)

-7 ≤ x < 5

b)

-3 ≤ x < 1

c)

-3 ≤ y < 1

d)

-7 ≤ y < 5

14.

Carey and Justin are raising money to purchase books for their school's library. The more money they raise, the more books they will be able to purchase for the library.
m = the amount of money Carey and Justin raise
b = the number of books Carey and Justin will be able to purchase
Which of the variables is dependent?

a)

m

b)

b

15.

For the function f(x) = -3x + 3 find f(0).

a)

0

b)

-3

c)

3

d)

-1

16.

If h(a) = 3 - 2a
Find h(-3).

a)

12

b)

-2

c)

-3

d)

9

17.

A student is planning an experiment to find out how the height from which he drops a ball affects how high the ball bounces. The dependent variable is the _____.

a)

Diameter of the ball

b)

Force acting on the ball

c)

Height that the ball bounces

d)

Height from which the ball is dropped

18.

Which ordered pair below would prevent this table from being a function?

a)

(10, 10)

b)

(2, 4)

c)

(6, 1)

d)

(-2, 0)

19.

What is f(1)?

a)

1

b)

5

c)

0

d)

4

20.

complete the function notation below
f(____) = 214

a)

1990

b)

1991

c)

1989

d)

1994

21.

Given f(x) = -4x - 10 and f(x) = 10. Find x

a)

x = -5

b)

x = 5

c)

x = -50

d)

x = 30

22.

What is x if
f(x) = -2?

a)

4

b)

0

c)

3

d)

8

23.

Evaluate f(-2) if f(x) = x²+ 3

a)

-1

b)

1

c)

7

d)

-7

24.

Evaluate f(x)=-2t²+ 1 for f(2)

a)

9

b)

17

c)

-17

d)

-7

25.

f(x)=x²-5x
f(4)=

a)

-4

b)

126

c)

24

d)

84

26.

For what value of x does f(x) = -2?

a)

0

b)

-5

c)

3

d)

-3

27.

Given
f(x)= 2x² + 5x - 17, find f(-1).

a)

f(-1) = -20

b)

f(-1) = -24

c)

f(-1) = -14

d)

f(-1) = -10

28.

What is the absolute value of - | 15 |?

a)

-15

b)

15

c)

0

d)

no answer

29.

Select the true statement

a)

|-220| = -220 and 220

b)

-|220|= 220

c)

|-220|= 220

d)

|-220|= -220

30.

Compare|-5| to the |-10|

a)

|-5| > |-10|

b)

|-5| = |-10|

c)

|-5| < |-10|

31.

Evaluate each expression.
| x + 9 | = -5

a)

-14

b)

-4

c)

{-14, -4}

d)

no solution

32.

−2|−2r − 4| = -12

a)

{5,1}

b)

{-5,-1}

c)

{-5,1}

d)

No Solution

33.

| x – 3 |= 0

a)

3

b)

-3

c)

{-3, 3}

d)

no solution

34.

∣ 2x + 9 ∣ = 15

a)

x = 3

b)

x = 3
x = -6

c)

x = 3
x = -12

d)

x = 6
x = -12

35.

|−2n| + 10 = −50

a)

{30, -30}

b)

{20,-20}

c)

{-5,5}

d)

No Solution

36.

|v + 8| − 5 = 2

a)

{-1,-15}

b)

{-1,-5}

c)

{-15,15}

d)

No Solution

37.

|x+19|=25

a)

-6, 44

b)

6, -44

c)

6

d)

No Solution

38.

Solve |2x –3| + 5 =10.

a)

-1, 1

b)

-1, 4

c)

-1, -4

d)

1, 4

39.

Solve |x – 12| - 3 = 11.

a)

-2, -26

b)

-2, 26

c)

3, 25

d)

4, -7

40.

What is the reason that absolute value is always written as a positive?

a)

Absolute value is talking about numbers so it must be positive.

b)

Absolute value does not always have to be positive.

c)

Absolute value is like a clock it has only positive numbers.

d)

Absolute value is talking about distance, distance is always measured by positive numbers.

41.

Solve:
|x + 3| > 8

a)

x > 5 or x < -11

b)

x > 5

c)

all real numbers

d)

no solution

42.

Solve:
3 | 2x + 7| + 7 < 4

a)

x < -3 and x > -5/3

b)

x < -3 and x > -4

c)

all real numbers

d)

no solution

43.

Which of the following inequalities would require you to flip the sign when solving?

a)

2x < 3

b)

3x > - 9

c)

-4x ≥ 10

d)

5x ≤ 15

44.

|-6r - 4| < 8

a)

r < -2 or r > 2/3

b)

-2 < r < 2/3

c)

-2 > r > -2/3

d)

0 > r > -2

45.

What is the vertex of the absolute value function?

a)

(4, 0)

b)

(0, 4)

c)

(-infinity, infinity)

d)

[4, infinity)

46.

| –12 | – | 8 |

a)

4

b)

-4

c)

30

d)

-20

47.

Sarah is bringing treats to her elementary school class on her birthday. The number of treats she brings in is based on the number of students in her class.
t = the number of treats
s = the number of students
Is the scenario discrete or continuous?

a)

discrete

b)

continuous

48.

Paco's daughter will be participating in an upcoming dance recital. She will require a different costume for each dance she plans to performs.
c = the number of costumes Paco's daughter will require
d = the number of dances Paco's daughter plans to perform
Is the scenario discrete or continuous?

a)

Discrete

b)

Continuous

49.

Sarah is participating in a walkathon to raise money for local literacy programs. The amount of money Sarah will raise depends on the distance she walks.
m = the amount of money Sarah will raise
d = the distance Sarah walks
Is the scenario discrete or continuous?

a)

discrete

b)

continuous

50.

In order to earn extra money on the weekends, Josie's string quartet performs at wedding receptions. The longer the reception, the more money they earn.
r = the length of the reception
m = the amount of money Josie's quartet earns
Is the scenario discrete or continuous?

a)

discrete

b)

continuous

51.

Sarah is participating in a walkathon to raise money for local literacy programs. The amount of money Sarah will raise depends on the distance she walks.
m = the amount of money Sarah will raise
d = the distance Sarah walks
Which of the variables is dependent?

a)

m

b)

d

52.

What is the independent variable?

a)

time

b)

distance

c)

speed of sloth

d)

none of the above

53.

Solve for x
x² - 3 = 78

a)

-9,9

b)

9

c)

-9

d)

-√75, √75

54.

Solve using square roots.

a)

±√9

b)

±3

c)

±1

d)

No real solution

Algebra Unit 7 Functions

Total questions: 54

Worksheet time: 4hrs 41mins

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