Free Printable Linear Functions Test Review

1.

Find the slope of the line that passes through:
(-12, -5) and (0, -8)

a)

1/4

b)

-1/4

c)

4

d)

-4

2.

Find the slope of the line that passes through:
(-2, 8) and (0, 8)

a)

0

b)

-2

c)

2

d)

1/2

3.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

4.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

5.

The slope of a line is 5/11. The slope of a line parallel to this line is:

a)

-5/11

b)

5/11

c)

-11/5

d)

11/5

6.

The slope of a line is 9/10. The slope of a line perpendicular to this line is:

a)

-9/10

b)

9/10

c)

-10/9

d)

10/9

7.

Determine if the line segments are parallel, perpendicular, or neither.

a)

Parallel

b)

Perpendicular

c)

Neither

8.

Determine if the line segments are parallel, perpendicular, or neither.

a)

Parallel

b)

Perpendicular

c)

Neither

9.

Determine if the line segments are parallel, perpendicular, or neither.

a)

Parallel

b)

Perpendicular

c)

Neither

10.

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

a)

$8 per pound

b)

$5 per pound

c)

$35 per pound

d)

0.125 pounds per dollar

11.

A store sees 120 customers in 8 hours. What is the unit rate (in customers per hour)?

a)

16 customers per hour

b)

15 customers per hour

c)

12 customers per hour

d)

20 customers per hour

12.

The table below gives the number of fish in a local koi pond each year.

What is the average rate of change from 2 to 5 years?

a)

24 more fish each year

b)

72 more fish each year

c)

20.4 more fish each year

d)

15 more fish each year

13.

Tracy walks from the mall toward her home. Her distance from home at different times is shown in table.

What is the average rate of change from 1:30 pm to 2:00 pm?

a)

-1/2 mile per hour

b)

-1 mile per hour

c)

-2 miles per hour

d)

-4 miles per hour

14.

What is Mrs. Gordon's rate from 0 to 2 seconds?

a)

2.5 feet per second

b)

.4 feet per second

c)

5 feet per second

d)

.2 feet per second

15.

Find the slope of the line that passes through:
(5, -10) and (5, -4)

a)

undefined

b)

0

c)

- 14/10

d)

10/14

16.

What type of slope?

a)

positive

b)

negative

c)

no slope (undefined)

d)

zero

17.

What type of slope?

a)

positive

b)

negative

c)

no slope (undefined)

d)

zero

18.

What type of slope?

a)

positive

b)

negative

c)

undefined

d)

zero

19.

What type of slope?

a)

positive

b)

negative

c)

no slope (undefined)

d)

zero

20.

What is the slope?

a)

$\frac{3}{2}$

b)

$-\frac{3}{2}$

c)

$\frac{2}{3}$

d)

$-\frac{2}{3}$

21.

Find the slope of the line. (Remember to write answer in simplest form)

a)

$\frac{6}{3}$

b)

3

c)

$\frac{2}{6}$

d)

$\frac{1}{3}$

22.

Find the slope of the line.

a)

$\frac{3}{4}$

b)

$-\frac{3}{5}$

c)

$\frac{5}{3}$

d)

$-\frac{4}{3}$

23.

What is the slope?

a)

$-\frac{1}{2}$

b)

$\frac{1}{2}$

c)

2

d)

-2

24.

$f\left(x\right)$

is the same thing as ______.

a)

y

b)

x

c)

input

d)

an equation

25.

How would you write

y=2x-3

in function notation?

a)

$y=2x-3$

b)

$f=2x-3$

c)

$f\left(x\right)=2x-3$

26.

How do you read

f\left(x\right)

?

a)

f x

b)

f of x

c)

f parenthesis x

d)

f with an x inside parenthesis

27.

Translate the function notation into a coordinate point.

$f\left(-1\right)=5$

a)

$\left(-1,5\right)$

b)

$\left(1,5\right)$

c)

$\left(5,1\right)$

d)

$\left(5,-1\right)$

28.

Translate the coordinate pair into function notation.

\left(0,8\right)

a)

$f\left(0\right)=8$

b)

$f\left(0\right)=-8$

c)

$f\left(8\right)=0$

d)

$f\left(-8\right)=0$

29.

Given the function
$f\left(x\right)=x+3$

Evaluate:

f\left(-2\right)

a)

$f\left(-2\right)=-1$

b)

$f\left(-2\right)=1$

c)

$f\left(-2\right)=5$

d)

$f\left(-2\right)=-5$

30.

Given
$g\left(x\right)=4x-2$

Evaluate:

g\left(-7\right)

a)

$g\left(-7\right)=-30$

b)

$g\left(-7\right)=-26$

c)

$g\left(-7\right)=-36$

d)

$g\left(-7\right)=26$

31.

Given:
$w\left(x\right)=-10x-5$

Evaluate:
$w\left(1\right)$

a)

$w\left(1\right)=-15$

b)

$w\left(1\right)=-5$

c)

$w\left(1\right)=5$

d)

$w\left(1\right)=15$

32.

Given:
$f\left(x\right)=6x$

Find x when

f\left(x\right)=-24

a)

$x=-4$

b)

$x=4$

c)

$x=-144$

d)

$x=-6$

33.

Given:
$g\left(x\right)=3x-5$

Find x when $g\left(x\right)=4$

a)

$x=3$

b)

$x=-3$

c)

$x=7$

d)

$x=-3$

34.

Given:
$h\left(x\right)=14-8x$

Find x when

h\left(x\right)=-2

a)

$x=2$

b)

$x=-2$

c)

$x=30$

d)

$x=-30$

35.

Given the graph,

find:

f\left(2\right)

a)

$f\left(2\right)=5$

b)

$f\left(2\right)=4$

c)

$f\left(2\right)=3$

d)

$f\left(2\right)=0$

36.

Given the graph,

find:

f\left(4\right)

a)

$f\left(4\right)=3$

b)

$f\left(4\right)=1$

c)

$f\left(4\right)=2$

d)

$f\left(4\right)=0$

37.

Given the graph,

find:

f\left(6\right)

a)

$f\left(6\right)=3$

b)

$f\left(6\right)=1$

c)

$f\left(6\right)=2$

d)

$f\left(6\right)=0$

38.

Given the graph,

find:

f\left(7\right)

a)

$f\left(7\right)=3$

b)

$f\left(7\right)=1$

c)

$f\left(7\right)=2$

d)

$f\left(7\right)=0$

39.

Given the graph,

find:

f\left(0\right)

a)

$f\left(0\right)=7$

b)

$f\left(0\right)=1$

c)

$f\left(0\right)=2$

d)

$f\left(0\right)=0$

40.

Given the graph,

find the value of x when:

f\left(x\right)=0

a)

$x=1$

b)

$x=0$

c)

$x=7$

d)

$x=2$

41.

Given the graph,

find the value of x when:

f\left(x\right)=5

a)

$x=5$

b)

$x=0$

c)

$x=3$

d)

$x=2$

42.

Given the graph,

find the value of x when

f\left(x\right)=5

a)

$x=7$

b)

$x=6$

c)

$x=5$

d)

$x=3$

43.

Given the graph,

find the value of x when

f\left(x\right)=2

a)

$x=7$

b)

$x=1$

c)

$x=5$

d)

$x=4$

44.

What is the range of the graph?
Remember: Range is y!

a)

1 ≤ x ≤ 5

b)

1 < x < 5

c)

1 ≤ y ≤ 5

d)

1 < y < 5

45.

What is the DOMAIN of this graph?

a)

-4 ≤ x ≤ 3

b)

-1 ≤ x ≤ 4

c)

4 < x < 3

d)

-1 < x < 4

46.

What is the range of the function?

a)

-7≤x≤6

b)

-7<x<6

c)

-8<y<2

d)

-8≤y≤2

47.

What is the RANGE of this graph?

a)

y < -3

b)

y ≤ -3

c)

y > 1

d)

y ≥ 1

48.

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}

49.

What is the range?

a)

{-3, -1, 2, 4}

b)

{0, 4, 7}

c)

{0, 4, 4, 7}

d)

{7, 4, 0}

50.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

51.

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.

52.

A set of ordered pairs is called what?

a)

the domain

b)

a relation

c)

a function

d)

the range

53.

What is the domain of a relation?

a)

the set of all x-values

b)

the set of all y-values

54.

Which is the set of all y-values or the outputs?

a)

Domain

b)

Range

c)

Relation

d)

Function

55.

What is the range of the mapping?

a)

{1, 2, 4}

b)

{0, 1, 2, 3}

c)

{0, 3}

d)

{1, 4}

56.

Does the graph represent a function?

a)

Yes

b)

No

57.

Which relation has a domain of {3,7} and a range of {0,5} ?

a)

(3,5), (3,7), (0,5), (0,3)

b)

(3,0), (7,0), (3,5), (7,5)

c)

(3,0), (3,5), (3,7), (7,5)

d)

(7,0), (5,7), (3,5) (7,5)

58.

What is the Range?

a)

All real numbers

b)

y ≥ 3

c)

y > 3

d)

3 ≤ y ≤ 8

59.

Find the slope-intercept equation

a)

y = 4x + 6

b)

y = -4x - 6

c)

y = 1/4x - 6

d)

y = -1/4x + 6

60.

Find the slope-intercept equation

a)

y = 2x + 3

b)

y = -2x +3

c)

y = ¹/₂ x+3

d)

^{y = -1}/₂ x+3

61.

Find the slope-intercept equation

a)

y = 3x + 5

b)

y = -3x + 5

c)

y = ^-1/₃ x + 5

d)

y = ^-1/₃ x - 5

62.

Find the slope-intercept equation

a)

y = x - 2

b)

y = -x - 2

c)

y = -2x

d)

y = -2

63.

Find the graph of the standard form equation: 2x - 5y = -20

a)

b)

c)

d)

64.

Find the graph of the standard form equation: 3x + 4y = -8

a)

b)

c)

d)

65.

Find the graph of the standard form equation: 2x - y = 0

a)

b)

c)

d)

66.

Find the graph of the standard form equation: 2x + 3y = 3

a)

b)

c)

d)

67.

a)

y = 4x + 6

b)

y = -4x - 6

c)

y = 4x - 6

d)

y = -4x + 6

68.

a)

y = 2x + 3

b)

y = -2x + 3

c)

y = -2x + 11

d)

y = -2x - 11

69.

a)

y = ^-1/₃x + 5

b)

y = ^-1/₃x + 7

c)

y = ^-1/₃x + 1

d)

y = ^-1/₃x - 1

70.

a)

y = x - 2

b)

y = x + 2

c)

y = x + 8

d)

y = x - 8

71.

a)

y = 2/3 x + 4

b)

y = - 2/3 x + 4

c)

y = -2/3 x + 1

d)

y = -2/₅ x - 1

72.

a)

y = ³/₄x + 2

b)

y = ³/₄x - 2

c)

y = ^-3/₄x + 2

d)

y = ^-3/₄x - 2

73.

a)

y = 1/2 x

b)

y = -1/2 x

c)

y = 2x - 10

d)

y = -2x + 6

74.

What is the slope of this line?

a)

m = 0

b)

m = undefined

c)

m = 3

d)

m = ¹/₃

75.

What is the slope of this line?

a)

m = 0

b)

m = undefined

c)

m = 5

d)

m = ¹/5

76.

What is the equation of this line?

a)

m = 0

b)

m = undefined

c)

y = 5

d)

x = 5

77.

What is the equation of this line?

a)

m = 0

b)

m = undefined

c)

x = 3

d)

y = 3

78.

What is the slope of this line?

a)

m =¹/₂

b)

m = 2

c)

m = -2

d)

m = ^-1/₂

79.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

80.

y = 3x +2
y = 3x - 3
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

d)

The same line

81.

y = -2/3x + 2
y = 3/2x + 9
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

82.

Write an equation of a line perpendicular to
y = 2x + 3 through (-2, 4)

a)

y = -3/2x + 3

b)

y = 3/2x + 3

c)

y = -1/2x + 3

d)

y = 3x - 3/2

83.

Which of the following lines goes through the point (-3, 4) and is perpendicular to y = 3/2x + 6?

a)

y = 3/2x - 6

b)

y = 2/3x + 3

c)

y = -2/3x - 2

d)

y = -2/3x + 2

84.

What type of slope does the graph have?

a)

Zero

b)

Undefined

c)

Negative

d)

Positive

85.

Write an equation for a line that is perpendicular to the graph shown and passes through the point (4,-1)

a)

y = 2x + 3

b)

y = 1/2x - 3

c)

y = 1/2x - 1

d)

y = -2x + 1

86.

If I am looking for a line parallel to $y=-3x-2$ which one of these equations could it be?

a)

$y=-2x-1$

b)

$y=3x-4$

c)

$y=-3x+6$

d)

$y=-2x-3$

87.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

Linear Functions Test Review

Total questions: 87

Worksheet time: 3hrs 54mins

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