Free Printable Linear Functions

1.

What is the slope?

a)

-1/5

b)

-5

c)

-4

d)

-6

2.

What is the slope?

a)

5

b)

1/5

c)

15

d)

10

3.

What is the slope?

a)

-1/3

b)

-3

c)

-4

d)

5

4.

What is the y-intercept?

a)

-1/3

b)

-3

c)

-4

d)

5

5.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

6.

Find the slope:

a)

2

b)

-2

c)

1/2

d)

-1/2

7.

Find the common difference of the arithmetic sequence 14, 20, 26, ...

(a)

8.

Find the common difference of the arithmetic sequence -19, -14, -9, ...

(a)

9.

Find the common difference of the arithmetic sequence 1, -2, -5, ...

(a)

10.

3, 5, 7, ... is an arithmetic sequence

a)

True

b)

False

11.

3, 15, 75, ... is an arithmetic sequence

a)

True

b)

False

12.

20, 10, 5, ... is an arithmetic sequence

a)

True

b)

False

13.

24, 15, 6, ... is an arithmetic sequence

a)

True

b)

False

14.

What is a formula for the nth term in the sequence -4, -9, -14, ...?

a)

$a_n=-4-5\left(n-1\right)$

b)

$a_n=a_{n-1}+5$

c)

$a_n=-5-4\left(n-1\right)$

d)

$a_n=-4+5\left(n-1\right)$

15.

Find the 59th term of the arithmetic sequence 26, 17, 8, ...

(a)

16.

Find the 75th term of the arithmetic sequence -17, -13, 9, ...

(a)

17.

Find the 63rd term of the arithmetic sequence -1, 5, 11, ...

(a)

18.

What is the common difference of the given arithmetic sequence:

–2, 5, 12, 19, 26, . . . ?

a)

–2

b)

3

c)

5

d)

7

19.

Which of the following is the common difference of the given arithmetic sequence:

16, 8, 0, –8, –16, . . . ?

a)

-9

b)

-8

c)

-7

d)

-6

20.

Which of the following sequence is an arithmetic sequence?

a)

5, 12, 21, 32, 45, . . .

b)

3, 6, 12, 24, 48, . . .

c)

–8, –5, –2, 1, 4, . . .

d)

12, 7, 11, 6, 10, 5, . . .

21.

Which of the following sequence is NOT an arithmetic?

a)

25, 13, 1, –11, –23, . . .

b)

9, 15, 21, 27, 33, . . .

c)

–12, –4, 4, 12, 20, 28, . . .

d)

–4, 5, 18, 35, 56, 81, . . .

22.

What is the common difference of the given arithmetic sequence:

–26, –17, –8, 1, 10, 19, . . .?

a)

–9

b)

–10

c)

9

d)

10

23.

Type AS if the given sequence is an arithmetic and NAS if it not an arithmetic sequence:

6, 18, 20, 42, 54, . . .

(a)

24.

Type AS if the given sequence is an arithmetic and NAS if it not an arithmetic sequence:

–13, –7, –2, 2, 5, 7, . . .

(a)

25.

Type AS if the given sequence is an arithmetic and NAS if it not an arithmetic sequence:

8, –7, –22, –37, –52, –67

(a)

26.

What is the common difference of the given arithmetic sequence: –20, –9, 2, 13, 24, 35, . . .?

(a)

27.

What is the common difference of the given arithmetic sequence: 9, –4, –17, –30, –43, –56, . . .?

(a)

28.

Identify a₁ and d for the sequence
-5, -2, 1, 4, ...

a)

a₁ = 3 and d = -5

b)

a₁= -8 and d = 3

c)

a₁ = -5 and d = 3

d)

a₁ = -5 and d = -3

29.

Find the given term for the sequence.
Find a₆₄ for a_n = 5n + 4

a)

9

b)

324

c)

320

d)

cannot be determined

30.

Find the given term for the sequence.
Find the 30th term of 20, 11, 2, -7, -16, ...

a)

29

b)

-261

c)

-241

d)

cannot be determined

31.

Find the 32nd term of this sequence.
34, 37, 40, 43, ...

a)

32

b)

64

c)

127

d)

356

32.

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

a)

18

b)

17

c)

15

d)

14

33.

Identify a₁ and d for the sequence
-5, -2, 1, 4, ...

a)

a₁ = 3 and d = -5

b)

a₁= -8 and d = 3

c)

a₁ = -5 and d = 3

d)

a₁ = -5 and d = -3

34.

Find the 22nd term of the following sequence:
5, 8, 11, ...

a)

14

b)

68

c)

63

d)

71

35.

Which equation is being represented by this line?

a)

y = -1x + 2

b)

y = 1/2x + 2

c)

y = 3x -4

d)

y = -3x +2

36.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

37.

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

a)

A

b)

B

c)

C

d)

D

38.

Which equation matches the graph?

a)

y = 2x

b)

y = 1/4 x + 2

c)

y = 1x + 4

d)

y = -2x

39.

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

40.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=(-1/3)x-1

d)

y= -3x-3

41.

Y-intercept is where the line ______________.

a)

begins

b)

crosses the x-axis

c)

crosses the y-axis

d)

ends

42.

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)

43.

Find the slope from the table.

a)

-4

b)

1

c)

4

d)

-2

44.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

45.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

46.

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

a)

A

b)

B

c)

C

d)

D

47.

What is the y-intercept?

a)

7

b)

0

c)

1

d)

2

48.

Find slope:

a)

m= 4

b)

m=1/4

c)

m=-4

d)

m=-1/4

49.

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

a)

7/6

b)

2

c)

6/7

d)

-2

50.

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

51.

Which equation represents the line that passes through the point (-3, -4) and has a slope of 0?

a)

y = 3x - 4

b)

y = -3

c)

y = -4

d)

x = -3

52.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

53.

Find the slope of the line.

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

54.

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

55.

Find the slope of the line that passes through
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

56.

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

57.

What does 'b" represent in y=mx=b

a)

y-intercept

b)

macaroni

c)

nothing

d)

slope

58.

Identify the formula used to find slope.

a)

$m=\frac{y_2-y_1}{x_2-x_1}$

b)

$m=\frac{y_1-y_2}{x_1-x_2}$

59.

Slope is another word for:

a)

Initial Value

b)

Rate of Change

c)

Change in Y's

d)

Y-intercept

60.

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

61.

The next two terms of the sequence 4,7,10,13 are

a)

16 and 19

b)

15 and 19

c)

16 and 18

d)

15 and 18

62.

Identify the common difference.
10, 20, 30, 40, ...

a)

5

b)

10

c)

15

d)

20

63.

Which equation matches the graph?

a)

y = 2x

b)

y = 1/4 x + 2

c)

y = 1x + 4

d)

y = 2x - 3

64.

What is the y-intercept.

a)

y-intercept is -3

b)

y-intercept -2

c)

y-intercept is 3

d)

y-intercept is -1

65.

Describe the slope of the line.

a)

negative slope

b)

0 slope

c)

positive slope

d)

undefined slope

66.

What is the slope?

a)

-1/3

b)

-3

c)

-4

d)

5

67.

What is the y-intercept in the equation?

y = 5x - 4

a)

(0,5)

b)

(0,-4)

c)

(-4,0)

d)

(5,0)

68.

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

a)

y = 3x +2

b)

x=3

c)

y=2x+3

d)

y=x

69.

What slope is perpendicular to:
m = 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

70.

What slope is parallel to:
m = 3/4

a)

4/3

b)

3/4

c)

-3/4

d)

-4/3

71.

Identify the slope and y-intercept of:
y = 3 -x

a)

slope:-1 y-intercept: 3

b)

slope: 1/5 y-intercept: 5

c)

slope: 1 y-intercept: -3

d)

slope: -1 y-intercept: -3

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.

The equation below represents an elevator's height after an amount of seconds. Using this equation, what should the height of the elevator be after 14 seconds?
y = -3.8x + 290

a)

80

b)

236.8

c)

-80

d)

72.6

74.

What is the slope of

-6x-2y=9?

a)

9/2

b)

9

c)

-3

d)

-6

75.

What is the y-intercept of the line graphed below?

a)

(-3, 0)

b)

(0, 4)

c)

(0, -3)

d)

(4, 0)

76.

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

77.

Find the slope:
y = 2x - 10

a)

1/2

b)

2

c)

5

d)

-10

78.

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

a)

-2

b)

2

c)

3

d)

-3

79.

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

80.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

81.

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

a)

7/6

b)

2

c)

6/7

d)

-2

82.

Find the value of y when x = 2.

a)

2

b)

6

c)

7

d)

8

83.

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

a)

A

b)

B

c)

C

d)

D

84.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2

d)

-2

85.

What is the y-intercept for the given graph?

a)

(0,-5)

b)

(0,5)

c)

(0,1)

d)

(0,-1)

86.

What is the slope to rent a raft from Water's Edge Rafts?

a)

$6 per hour

b)

$5 per hour

c)

$1 for 6 hours

d)

$1 for 5 hours

87.

What is the Slope to rent a raft from Ryan's Rafts?

a)

$15 per hour

b)

$2.25 per hour

c)

$17.25 per hour

d)

$1 per hour

88.

Which company shows a greater slope?

a)

Water's Edge Rafts

b)

Ryan's Rafts

89.

Compare the slopes. Which statement is true about functions A and B?

a)

They have the same slope

b)

A has a greater slope than B

c)

A and B both have negative slopes

d)

A has a negative Slope and B has a positive Slope

90.

Who has the greater slope?

a)

Tyler has the greater slope with 2/3

b)

Aubri has the greater slope with 3/2

c)

Tyler has the greater slope with 3/2

d)

They have the same slope.

91.

Who has the greater Slope?

a)

Smith has the greater slope.

b)

Harmon has the greater slope.

c)

Macey has the greater slope.

d)

They have the same slope.

92.

Janet is planning her sweet sixteen birthday party. She must decide which party coordinator she should use so that she spends the least amount of money possible. Each coordinator charges an initial fee for their services, plus an additional fee depending on the number of guests that attend the party. Each coordinator's rates are shown in the image.

Which coordinator charges the greatest initial fee?

a)

Coordinator A

b)

Coordinator B

c)

Coordinator C

d)

Coordinator D

93.

Janet is planning her sweet sixteen birthday party. She must decide which party coordinator she should use so that she spends the least amount of money possible. Each coordinator charges an initial fee for their services, plus an additional fee depending on the number of guests that attend the party. Each coordinator's rates are shown in the image.

Which coordinator charges the greatest fee per guest?

a)

Coordinator A

b)

Coordinator B

c)

Coordinator C

d)

Coordinator D

94.

Janet is planning her sweet sixteen birthday party. She must decide which party coordinator she should use so that she spends the least amount of money possible. Each coordinator charges an initial fee for their services, plus an additional fee depending on the number of guests that attend the party. Each coordinator's rates are shown in the image.

If Janet is planning on inviting 24 guests, which coordinator should she use?

a)

Coordinator A

b)

Coordinator B

c)

Coordinator C

d)

Coordinator D

95.

Janet is planning her sweet sixteen birthday party. She must decide which party coordinator she should use so that she spends the least amount of money possible. Each coordinator charges an initial fee for their services, plus an additional fee depending on the number of guests that attend the party. Each coordinator's rates are shown in the image.

If Janet is planning on inviting 80 guests, which coordinator should she use?

a)

Coordinator A

b)

Coordinator B

c)

Coordinator C

d)

Coordinator D

96.

Equation A: y = 2x + 3
Equation B: y = 3x - 3
Which equation has a higher slope?

a)

Equation A

b)

Equation B

c)

They have the same slope

97.

Equation A: y = 3x - 1
Equation B: y = 1/2x + 1
Which equation has a higher y intercept?

a)

Equation A

b)

Equation B

c)

They have the same Y intercept

98.

Who has the greater rate of change?

a)

CJ has a greater rate of change with 6.5

b)

Holland has a greater rate of change with 6

c)

CJ has a greater rate of change with 2/13

d)

They have the same rate of change.

99.

Equation A: y = 3x - 1

Equation B: y = 1/2x + 1

Which equation has a steeper slope?

a)

Equation A

b)

Equation B

c)

They have the same level of steepness

100.

Equation A: y = -2x + 3

Equation B: y = 2x

Which equation has a steeper slope?

a)

Equation A

b)

Equation B

c)

They have the same steepness, even though one is negative and one is positive

d)

This cannot be determined

101.

Rich is a member of a gym. He pays a monthly fee plus a per-visit fee. The equation below represents the monthly amount Rich pays for his membership to the gym per month for x visits.
y=3x+10
What does the y-intercept of the graph of this equation represent?

a)

The monthly fee

b)

How much Rich pays per visit

c)

The number of times Rich goes to the gym

d)

The total cost at the end of the month

102.

Charlie rented a moving truck. He paid a daily fee plus a per-mile fee to rent the truck. The equation below represents the daily amount Charlie paid for the truck if he drives it x miles.
y=0.5x+10
What does the slope of the graph of this equation represent?

a)

The daily fee for the moving truck

b)

The per-mile fee for the moving truck

c)

How much Charlie paid for the truck

d)

The number of miles he drove

103.

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

104.

Determine the domain

a)

All real numbers

b)

(-∞, 6]

c)

[-6, 6]

105.

As x → -∞, Y → ______?

a)

∞

b)

-∞

c)

Neither

d)

Both -∞ and ∞

106.

Where is the function positive?

a)

(6, ∞)

b)

(-∞, 6)

c)

(0, ∞)

d)

(-∞, 0)

107.

As X → ∞, f(x) →______?

a)

∞

b)

-∞

c)

Neither

d)

Both ∞ & -∞

108.

Describe the following graph.

a)

Increasing

b)

Decreasing

c)

Vertical

d)

Horizontal

109.

Determine the range

a)

All real numbers

b)

(-∞, 2]

c)

[-6, 2]

110.

Where is the graph increasing?

a)

Always

b)

Never

111.

What is the rate of change for the graph?

a)

m = 1/2

b)

m = 2

c)

m = -1/2

d)

m = -2

112.

Where is the function negative?

a)

(6, ∞)

b)

(-∞, 6)

c)

(0, ∞)

d)

(-∞, 0)

113.

What is the end behavior?

a)

As x increases, y increases
As x decreases, y decreases

b)

As x increases, y decreases
As x decreases, y increases

114.

What is the y-intercept?

a)

(0,7)

b)

(0, 0)

c)

(0,1)

d)

(0, 2)

115.

What is the rate of change for the following graph?

a)

80

b)

20

c)

40

d)

160

116.

Identify the graph with a x-intercept of -2 and y-intercept of 2

a)

b)

c)

d)

117.

Write the equation of the line.

a)

y = -1/3x - 2

b)

y = 1/3x - 2

c)

y = 3x - 2

d)

y = -3x - 2

118.

Find the slope of the line through each pair of points.

(8, 4) and (2, 6).

a)

$m\ =\ -\frac{1}{\ 3\ }$

b)

$m\ =\ \frac{\ 1\ }{\ 3\ }$

c)

m = 1

d)

m = -1

119.

How would you write the equation with a slope of 2/3 and a y-intercept of -3

a)

y=3/2x+3

b)

y=2/3-3

c)

y=2/3x-3

d)

y=2/3x+3

120.

What is the slope?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

121.

what is the slope intercept form for the equation -2x + 8y = 2

a)

y = -2x + 8

b)

y = 1/4x + 1/4

c)

y = -1/4x - 1/4x

d)

y = 2/8x + 4

122.

Solve for y:
8x + 4y= 16

a)

y = -8x + 16

b)

y = 2x -4

c)

y = -2x + 4

d)

y = -8x + 12

123.

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)

124.

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.

125.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

126.

Find h(-1)

a)

-3

b)

15

c)

4

d)

3

127.

Find f(2)

a)

8

b)

10

c)

12

d)

14

128.

What is the value of f(0)?

a)

-2

b)

2

c)

4

d)

0

129.

$f\left(x\right)=5x-12$ What is $f\left(-4\right)$

a)

-32

b)

-3

c)

-12

d)

3

130.

Which is the graph of the equation y = -2x + 1?

a)

b)

c)

d)

131.

Parallel lines have __________ slopes

a)

Equal

b)

Opposite

c)

Reciprocal

d)

Total

132.

What slope is parallel to:
m = 3/4

a)

4/3

b)

3/4

c)

-3/4

d)

-4/3

133.

What slope is parallel to:
m = 4

a)

4

b)

-1/4

c)

-4

d)

1/4

134.

A line that is parallel to this line would have what slope?
y= 2x - 7

a)

2

b)

1/2

c)

-1/2

d)

7

135.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

136.

What slope is parallel to:
m = ³/₄

a)

⁴/₃

b)

³/₄

c)

^-3/₄

d)

^-4/₃

137.

The following represents slopes of two lines. Which answer choice describes the two lines?
$m=-\frac{1}{3}$ and $m=-\frac{1}{3}$ .

a)

Parallel

b)

Perpendicular

c)

Neither

138.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

139.

What is the slope of a line perpendicular to a line with slope ^-6/₅?

a)

^-6/₅

b)

^-5/6

c)

⁵/₆

d)

^-4/₃

140.

What is the slope of a line perpendicular to 5?

a)

5

b)

1/5

c)

-1/5

d)

-5

141.

What is the slope of a line perpendicular to -10/3

a)

-10/3

b)

10/3

c)

3/10

d)

-3/10

142.

If a line has a slope of -1/7 a line that is perpendicular has a slope of what?

a)

7

b)

-7

c)

-1/7

d)

1/7

143.

If a line has a slope of 2/3 a line that is perpendicular has a slope of what?

a)

-3/2

b)

3/2

c)

2/3

d)

-2/3

144.

If a line has a slope of 3 a line that is parallel has a slope of what?

a)

3

b)

1/3

c)

-3

d)

-1/3

145.

If a line has a slope of -5/6 a line that is parallel has a slope of what?

a)

-5/6

b)

6/5

c)

5/6

d)

-6/5

146.

If a line has a slope of 3/4 a line that is parallel has a slope of what?

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

147.

If a line has a slope of 4/7 a line that is perpendicular has a slope of what?

a)

-7/4

b)

7/4

c)

4/7

d)

-4/7

148.

What does "m" represent in y=mx+b?

a)

y-intercept

b)

slope

c)

measurements

d)

nothing

149.

What does 'b" represent in y=mx+b

a)

y-intercept

b)

base

c)

nothing

d)

slope

150.

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

a)

Parallel

b)

Perpendicular

c)

Neither

d)

The same line

151.

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

a)

Parallel

b)

Perpendicular

c)

Neither

152.

Which of the following lines goes through the point (0, 4) and is parallel to y = 5x - 3?

a)

y = 1/5x - 3

b)

y= 5x - 7

c)

y = 5x + 4

d)

y = -5x - 3

153.

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

154.

Write the equation of a line PERPENDICULAR to the line y = 3x + 2 that passes through the point (9, -2)

a)

y = -1/3x - 5

b)

y = 3x-29

c)

y = 1/3x -5

d)

y = -1/3x +1

155.

Write the equation of the line PARALLEL to the line y = 4x - 9 that passes through the point (-2, 4)

a)

y = 4x + 12

b)

y = -4x -4

c)

y = -1/4x + 5/2

156.

Are the lines shown parallel. perpendicular, or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

157.

Are the lines shown Parallel, Perpendicular, or Neither?

a)

Parallel

b)

Perpendicular

c)

Neither

158.

Are the lines shown parallel. perpendicular, or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

Linear Functions

Total questions: 158

Worksheet time: 13hrs 10mins

Similar Resources on Wayground