Free Printable Linear Functions

1.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

2.

What is the y-intercept in the equation?

y = 5x - 4

a)

(0,5)

b)

(0,-4)

c)

(-4,0)

d)

(5,0)

3.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

4.

What is the y-intercept for the given graph?

a)

(0,-5)

b)

(0,5)

c)

(0,1)

d)

(0,-1)

5.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2

d)

-2

6.

Which is the graph of y=-x+2?

a)

A

b)

B

c)

C

d)

D

7.

What is the y-intercept?

a)

7

b)

0

c)

1

d)

2

8.

Find the value of y when x = 2.

a)

2

b)

6

c)

7

d)

8

9.

Find slope:

a)

m= 4

b)

m=1/4

c)

m=-4

d)

m=-1/4

10.

Find the slope between the two given points: (-2,1) and (5,7)

a)

7/6

b)

2

c)

6/7

d)

-2

11.

a)

Function

b)

Not a Function

12.

Which equation best represents the relationship between x and y in the table shown?

a)

y= 5x+5

b)

y=1/5x+5

c)

y=15x+5

d)

y=10x+5

13.

Which company shows a greater rate of change?

a)

Water's Edge Rafts

b)

Ryan's Rafts

14.

Which panda is growing faster?

a)

Mochi

b)

Kappa

c)

Po the dragon warrior

d)

Jack Black

15.

Jenny went to the sale at Kohl's last weekend.
T-shirts were on sale for $15 each and hoodies were on sale for $20 each. If she spent $150 total, write an equation to represent this situation.

a)

20x + 15 = y

b)

35x = y

c)

15x + 20y = 150

d)

150 - 20x = 15y

16.

Slope is another word for:

a)

Initial Value

b)

Rate of Change

c)

Change in Y's

d)

Y-intercept

17.

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

18.

Is function represented by the table linear or nonlinear?

a)

linear

b)

nonlinear

19.

Is this function linear or nonlinear?

a)

Linear

b)

Nonlinear

20.

Is this function linear or nonlinear?

a)

Linear

b)

Nonlinear

21.

Is the table linear or nonlinear?

a)

Linear

b)

Nonlinear

22.

Which graph is linear?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

23.

What is the y-intercept in the following equation: y=-4x-5

a)

-4

b)

-4x

c)

5

d)

-5

24.

Determine the slope and y-intercept from the following equation: y = 3/2x + 3

a)

slope: 5 y-intercept: (0,3)

b)

slope: 3/2 y-intercept: (0,3)

c)

slope: 4 y-intercept: (0,3/2)

d)

slope: 1/5 y-intercept: (0,5)

25.

Find the slope from the table.

a)

-4

b)

1

c)

4

d)

-2

26.

What is the slope of the equation?
y = -3x + 4

a)

-3

b)

4

c)

-4

d)

3

27.

Is the function linear or nonlinear?

a)

Linear Function

b)

Nonlinear Function

28.

Is the function linear or nonlinear?

a)

Linear Function

b)

Nonlinear Function

29.

Is this function linear or non linear?

a)

Linear

b)

Non Linear

30.

Is this function linear or nonlinear?

a)

Linear

b)

Nonlinear

31.

Is the function Linear or Nonlinear?

a)

Linear

b)

Nonlinear

32.

a)

A

b)

B

c)

C

d)

D

33.

a)

A

b)

B

c)

C

d)

D

34.

Is this function linear or non linear?

a)

Linear

b)

Non Linear

35.

Is this is a function or not a function?

a)

Function

b)

Not a Function

36.

Is this function linear or non linear?

a)

Linear

b)

Non Linear

37.

Is this function linear or non linear?

a)

Linear

b)

Non Linear

38.

Is this function linear or non linear?

a)

Linear

b)

Non Linear

39.

Is this function linear or non linear?

a)

Linear

b)

Non Linear

40.

Which of the following is NOT a linear function?

a)

y = 3x

b)

y = x²

c)

y = 5x - 9

d)

y = 3(x + 4)

41.

Linear functions cannot have __________.

a)

An x nor a y

b)

x + y

c)

x - y

d)

xy

42.

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage. If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

a)

C = 0.20x + 15

b)

C =15 (0.20x)

c)

C = 15 + x + 0.20

d)

C = 0.20 + 15x

43.

Margaret is a waitress at The Seafood Bonanza. She earns $3 an hour plus 90% of her tips. Write an equation for her salary, S, if she works h hours and earns d dollars in tips.

a)

3h + 0.90d = S

b)

S = 90d + 3h

c)

S = 3d + 90h

d)

S = 3h + 9.0d

44.

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation for C, the total cost, to rent the boat for h hours.

a)

h = 2C + 15

b)

C = 15h + 2

c)

h = 15C + 2

d)

C = 2h + 15

45.

A golf course charges $15 to rent golf clubs and charges $25 per round to play. Write an equation to represent the total cost, T, for one player.

a)

T = 15 + 25r

b)

T = 15g + 25r

c)

T = 40 r

d)

T = 15r + 25

46.

Bob has $150 in his savings account and saves $40 per month. Which function models his savings?

a)

y = 150 + 40

b)

y = 40x + 150

c)

y = 150x + 40

47.

A man is climbing down from 100 feet high descending 30 feet per minute. Which function models his descent?

a)

y = 100 - 30x

b)

y = 100 + 30x

c)

y = 100x + 30

d)

y = 100x - 30

48.

Morgan has $263.49 in her bank account. She babysits two days each week. Each time she babysits she earns $36. She deposits all the money she earns into her bank account at the end of the week. Which linear equation below best models the relationship between the total amount of money in Morgan's bank account(T) and the number of weeks(w) that have passed?

a)

T = 72w + 263.49

b)

T = 36w + 263.49

c)

T = 263.49w + 36

d)

w = 72T + 263.49

49.

A local donut shop charged $6.50 for a dozen and provided a coupon in the newspaper for $1.50 off an order. Since the donut shop has gained popularity they have changed their coupon which now provides a discount of only half their original coupon's value. What is the equation that represents the value of a customer's order who uses the new coupon with their order?

a)

y = 6.50x - 0.75

b)

y = 6.50x + 0.75

c)

y = 6.50x - 1.50 - 0.75

d)

y = 5x - 0.75

50.

Heather is a hairdresser and her customers pay $5 to reserve an appointment time and $12 for every hour Heather works on their hair style. As a back to school special she offers to lower her price per hour by $5. What equation represents the total amount paid to Heather, y, after x hours of hair styling?

a)

y = 5 + 12x

b)

y = 12x

c)

y = 7x + 5

d)

y = 12x + 12

51.

Randy charges his tenants $400 each month to rent his houses plus $600 security deposit. In the new year, the property taxes increased on the area where he rents so as a result he must increase the rate of change by $25 to ensure his profits are not harmed. What equation best represents how much his tenants will now have to pay?

a)

y = 425x + 600

b)

y = 425 + 600x

c)

y = 400x + 625

d)

y = 400 + 625x

52.

Michelle and her husband want to go skydiving! The equation, f(x) = 12000 - 125x, represents the height (in feet) of the skydivers, f(x), after x seconds of falling. Michelle and her husband are adrenaline junkies so they have asked to increase the starting jump height by 500 feet and will deploy their parachute late which will change their falling speed to 200 feet per second. What equation represents these changes?

a)

y = 12000 - 200x

b)

y = 12500 + 75x

c)

y = 12500 - 200x

d)

y = 12200 - 625x

53.

Conner has $25,000 in his bank account. Every month he spends $1,500. He does not add money to the account.

Write a linear model that shows how much money will be in the account after x months.

a)

y=25000x-1500

b)

y=25000+1500

c)

y=1500x+25000

d)

y=-1500x+25000

54.

Jeff has already read 50 pages of his book. In 10 minutes he can read 8 pages. If p represents the total number of pages he has read and m represents the number of minutes he reads, then which equation best models this situation? If the book is 225 pages, will he finish the book in 3 hours?

a)

p = 4.2m + 50 and yes

b)

p = 1.25m + 50 and yes

c)

p = 0.8m + 50 and no

d)

p = 4.2m + 50 and no

55.

Valley Video charges a $15 annual fee plus $3 per movie for rentals. Last year, Jennifer spent $99 at the video store. How many movies did she rent? Write the linear equation and solve for the number of movies.

a)

15x + 3x = 99 and 6 movies

b)

15x + 3 = 99 and 6 movies

c)

3x + 15 = 99 and 28 movies

d)

3x + 99 = 15 and 28 movies

56.

A waitress ears $100 every week plus tips from customers. She can only keep 75% of the tips that she earns each week. Which linear function below best models the relationship between the amount of money the waitress earns(M) and the amount of tips(t) she receives? How much money would she earn in a week if she receives $252 in tips?

a)

M = 0.75t + 100 and $289

b)

M = 0.75t + 100 and $189

c)

M = 75t + 100 and $289

d)

M = 100t + 75 and $25,275

57.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

58.

Find the slope of the line.

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

59.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

60.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

61.

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

62.

What is the y-intercept of the equation:
y = 2x - 3

a)

-2

b)

2

c)

3

d)

-3

63.

Find the slope:
y = 2x - 10

a)

1/2

b)

2

c)

5

d)

-10

64.

Which of these represents slope-intercept form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

65.

Write the equation of the line.

a)

y=(3/5)x+1

b)

y=(3/5)x-1

c)

y=(5/3)x+1

d)

y=(3/5)x+1

66.

What is the equation of the line?

a)

y=3x

b)

y=3

c)

x=3

d)

y=-3

67.

If m=3 and b=6, what is the correct slope intercept equation?

a)

y=3-6

b)

y=3x-6

c)

y=3x+6

d)

y=6x+3

68.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

69.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

70.

What is the y-intercept for the given graph?

a)

(0,-5)

b)

(0,5)

c)

(0,1)

d)

(0,-1)

71.

Find slope:

a)

m= 4

b)

m=1/4

c)

m=-4

d)

m=-1/4

72.

Identify the slope and y-intercept of:
y = 1/5x + 5

a)

slope: 1/6 y-intercept: 4

b)

slope: 1/5 y-intercept: 5

c)

slope: 5/1 y-intercept: 5

d)

slope: 1 y-intercept: 5

73.

Which of the following has a y-intercept of 3?

a)

y = 3x +2

b)

x=3

c)

y=2x+3

d)

y=x

74.

Name the x- and y-intercepts for the equation:
5x - 3y = 15

a)

(3, 0) and (0, -5)

b)

(0, 3) and (-5, 0)

c)

(5, 15) and (15, 3)

d)

(0, -3) and (5, 0)

75.

Which graph represents 2x + 4y = 12?

a)

b)

c)

d)

76.

Vertical or horizontal?
y = 10

a)

vertical

b)

horizontal

c)

neither

77.

Jerome has $150 in his savings account and saves $40 per month. Write a linear function J(x) that will tell us the money Jerome has in his savings account after x months.

a)

J(x) = 150 + 40

b)

J(x) = 40x + 150

c)

J(x) = 150x + 40

d)

J(x) = 40 + 150

78.

Identify the slope and y-intercept of: $y=\frac{1}{5}x+5$

a)

slope: 1/6 y-intercept: 4

b)

slope: 1/5 y-intercept: 5

c)

slope: 5/1 y-intercept: 5

d)

slope: 1 y-intercept: 5

79.

A plumber charges $50 for a house call plus $12 per hour for labor. The linear function P(x) represents the cost of the plumber for x hours.

P(x) = 50 + 12x

Find P(4)

a)

$86

b)

$98

c)

$110

d)

$74

80.

Slope is another word for:

a)

Initial Value

b)

Rate of Change

c)

Change in Y's

d)

Y-intercept

81.

Is this function linear or nonlinear?

a)

Linear

b)

Nonlinear

82.

Is the table linear or nonlinear?

a)

Linear

b)

Nonlinear

83.

Which graph is linear?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

84.

Find the slope from the table.

a)

-4

b)

1

c)

4

d)

-2

85.

What is the range of the graph?

a)

[1, 4]

b)

(1, 5)

c)

[1, 5]

d)

(1, 4)

86.

What is the domain of the graph?

a)

[1, 4]

b)

(1, 4)

c)

[1, 5]

d)

(1, 5)

87.

If the slope of a line is 3 and the y intercept is 6, what is the correct equation in slope intercept form?

a)

y=3-6

b)

y=3x-6

c)

y=3x+6

d)

y=6x+3

88.

The Roaming Cell Phone Company charges $15.00 per month plus $2 per minute of airtime usage. The linear function C(x) represents the cost for x minutes of airtime usage.

C(x) = 2x +15

Solve C(x) = 23

a)

4 minutes

b)

3 minutes

c)

2 minutes

d)

5 minutes

89.

The table shows the cost of a pizza, P(t), based on the number of toppings, t. Write a linear function for P(t).

a)

P(t) = 3t + 17.5

b)

P(t) = 2t +11.5

c)

P(t) = 3.5t + 9

d)

P(t) = 2.5t + 10

90.

Which equation best represents the relationship between x and y in the table shown?

a)

y= 5x+5

b)

y=1/5x+5

c)

y=15x+5

d)

y=10x+5

91.

m= 5

(2, 4)

a)

y - 2= 5(x - 4)

b)

y - 4= 5(x - 2)

c)

y- 5 = 4(x - 2)

d)

y - 2 = 4(x - 5)

92.

m= 3

(1, 7)

a)

y - 7 = 3( x - 1)

b)

y - 1 = 3( x - 7)

c)

y - 3 = 3( x - 1)

d)

y - 1 = 7( x - 3)

93.

Which of these represents point-slope form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

d)

y=kx

94.

Write the equation in point-slope form of the line that passes through the given point and has the given slope:

(-2, -1); m= -3

a)

y + 1 = -3(x - 2)

b)

y + 1 = -3(x + 2)

c)

y - 1 = 3(x - 1)

d)

y + 2 = -3(x + 1)

95.

The line with the equation

$y+1=-3(x-5)$ ,

and has a slope of (a)

Choose from the below words

$-3$

$3$

$1$

$-5$

96.

The line with the equation

$y+1=-3(x-5)$ ,

contains the point

a)

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

b)

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

c)

$\left(5,1\right)$

d)

$\left(1,5\right)$

97.

Select the equation represents a line with a slope of 2

that passes through the point $\left(9,-6\right)$

a)

$y+6=2\left(x-9\right)$

b)

$y-6=2\left(x+9\right)$

c)

$y-6=2\left(x-9\right)$

d)

$y+6=2\left(x+9\right)$

98.

The line with the equation

$y-2=4(x+8)$ ,

contains the point

a)

$\left(-8,2\right)$

b)

$\left(8,2\right)$

c)

$\left(8,-2\right)$

d)

$\left(-2,8\right)$

99.

The line with the equation

$y-2=4(x+8)$ ,

has a slope of :

a)

8

b)

4

c)

-2

100.

Graph the line that goes through the point (-2,-4)

and has a slope of $\frac{3}{4}$ .

a)

b)

c)

d)

101.

Graph the line: $y+1=-\frac{1}{3}(x-2)$

a)

b)

c)

102.

What is the point slope form equation of the graph given(use blue point in equation)

a)

y + 2 = $\frac{3}{2}$ (x + 2)

b)

y - 2 = $\frac{3}{2}$ (x - 2)

c)

y + 2 = - $\frac{3}{2}$ (x + 2)

d)

y - 2= - $\frac{3}{2}$ (x - 2)

103.

Which point-slope equation matches the graph?

a)

$y-4=\frac{3}{2}\left(x-2\right)$

b)

$y-2=\frac{3}{2}\left(x-4\right)$

c)

$y+2=\frac{2}{3}\left(x+4\right)$

d)

$y+4=\frac{2}{3}\left(x+2\right)$

104.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2

d)

-2

105.

Which point-slope equation matches the graph?

a)

$y-1=-\frac{1}{2}\left(x+1\right)$

b)

$y+1=-\frac{1}{2}\left(x-1\right)$

c)

$y-1=-2\left(x+1\right)$

d)

$y+1=-2\left(x-1\right)$

106.

What is the point slope form equation for the given line?(Use blue point for formula)

a)

y + 3 = 3 (x + 4)

b)

y + 4 = -3 (x + 3)

c)

y - 4 = 3 (x - 3)

d)

y + 4 = 3 (x + 3)

107.

What is the standard form equation?

a)

y=mx+b

b)

Ax+By=C

c)

y-y₁=m(x-x₁)

d)

y=b-x

108.

Which of the following are written in standard form?

a)

y=3x-5

b)

3x+16=5y

c)

2/3 x + 9/13 y = 21

d)

5x+7y=-12

109.

What are the x- intercepts of the graph of 3x+4y=24

a)

12

b)

8

c)

-12

d)

-8

110.

What are the y-intercepts of the graph of 3x+4y=24

a)

-6

b)

6

c)

15

d)

-15

111.

What is the y- intercept of the graph of 3x+4y=24

a)

5

b)

-5

c)

6

d)

-6

112.

What are the x- intercepts of the graph of 3x+4y=24

a)

8

b)

-8

c)

6

d)

-6

113.

What is the equation of the line?

a)

2x+7y=13

b)

3x+4y=12

c)

9x+5y=50

d)

x+y=5

114.

What is the equation of the graph shown?

a)

4x-5y=12

b)

5x-6y=15

c)

x-2y=-2

d)

x+y=1

115.

What is y= (-3/7)x+5 written in standard form?

a)

3x+7y=35

b)

9x+6y=8

c)

3x-4y=9

d)

It is in standard form

116.

What is y= (-3/5)x + 4 written in standard form?

a)

3x+5y=20

b)

3x-5y=20

c)

9x-5y=21

d)

10x+5y=45

117.

The y-intercept is (a) and the slope is (b)

Choose from the below words

(0,-3)

$\frac{3}{4}$

(-3,0)

(4,0)

(0,4)

$\frac{4}{3}$

$-\frac{3}{4}$

$-\frac{4}{3}$

118.

Given: $y=-\frac{1}{3}x+5$ , the slope is (a) and the y-intercept is (b)

Choose from the below words

$-\frac{1}{3}$

5

-5

$\frac{1}{3}$

$\frac{3}{1}$

$-\frac{3}{1}$

119.

Given: $y=\frac{3}{5}x$ , the slope is (a) and the y-intercept is (b)

Choose from the below words

$\frac{3}{5}$

0

1

$\frac{5}{3}$

$-\frac{3}{5}$

$-\frac{5}{3}$

120.

Given: $y=4$ , the slope is (a) and the y-intercept is (b)

Choose from the below words

$0$

$4$

$\frac{1}{4}$

$\frac{4}{1}$

$-4$

$-1$

$1$

121.

Which graph represents the function: $y=-\frac{1}{2}x-2$

a)

b)

122.

Which graph represents the function: $y=\frac{3}{2}x+3$

a)

b)

c)

d)

123.

What equation is graphed?

a)

$y=5x+1$

b)

$y=-5x+1$

c)

$y=\frac{1}{5}x+1$

d)

$y=-\frac{1}{5}x+1$

124.

Write the equation of the line in Slope-Intercept Form. ( $y=mx+b$ )

125.

Write the equation of the line in Slope-Intercept Form. ( $y=mx+b$ )

Linear Functions - Review Day

Total questions: 125

Worksheet time: 5hrs 46mins

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