Free Printable Linear functions

1.

Describe the following graph.

a)

Increasing

b)

Decreasing

c)

Vertical

d)

Horizontal

2.

What is the rate of change for the graph?

a)

m = 1/2

b)

m = 2

c)

m = -1/2

d)

m = -2

3.

What is the y-intercept?

a)

(0,7)

b)

(0, 0)

c)

(0,1)

d)

(0, 2)

4.

Give the x-intercept
3x + 8y = 24

a)

(8, 0)

b)

(0, 8)

c)

(3, 0)

d)

(0, 3)

5.

What is the rate of change for the following graph?

a)

80

b)

20

c)

40

d)

160

6.

Which equation matches the table?

a)

y = 3x + 9

b)

y = x + 9

c)

y = x + 3

d)

y = 12x - 3

7.

Given the table, write the equation in the slope-intercept form.

a)

y = 1/3x + 6

b)

y = 3x + 6

c)

y = 2x + 6

d)

y = 1/2x + 6

8.

What is the slope?

a)

-1/3

b)

-3

c)

-4

d)

5

9.

What is the equation for the table?

a)

y =1/4x -3

b)

y =4x - 3

c)

y = -3x -3

d)

y =-2x -3

10.

In slope intercept form (y=mx+b) what is the "m"?

a)

The y-intercept

b)

The x-intercept

c)

The slope (rate of change)

d)

A point

11.

In slope intercept form (y=mx+b) what is the "b"?

a)

The y-intercept

b)

The x-intercept

c)

The slope (rate of change)

d)

A point

12.

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

13.

Write the equation in slope intercept form.

a)

y = 2x + 3

b)

y = 3x + 2

c)

y = 2x - 1

14.

What equation matches this graph?

a)

y = 2x + 2

b)

y = 3/2x + 2

c)

y = 1/2x + 2

d)

y = 2/3x + 2

15.

Write the equation of the line.

a)

y = -2/3x + 4

b)

y = 2/3x + 4

c)

y = 3/2x + 4

d)

y = -3/2x + 4

16.

Write the equation of the line.

a)

y = -1/3x - 2

b)

y = 1/3x - 2

c)

y = 3x - 2

d)

y = -3x - 2

17.

What is the equation of the line?

a)

y = -3/4x + 3

b)

y = 4/5x + 3

c)

y = -4/5x + 3

d)

y = -4/5x

18.

Jenny writes the equation y = 1/2x +5.
Why is she incorrect?

a)

The slope is -2, the equation should be
y = -2x + 5

b)

The y-intercept is 4, the equation should be y = -2x + 4

c)

The slope is -1/2, the equation should be
y = -1/2x + 5

d)

The y-intercept is -5, the equation should be y = -2x - 5

19.

A camp charges families a fee of $625 per month for one child and a certain amount more per month for each additional child. Use the graph to write an equation in slope-intercept form to represent the amount a family with x additional children would pay.

a)

y = 625x + 225

b)

y = 225x

c)

y = 225x + 625

d)

y = 625

20.

Given h(x) = 5 - 9x, find h(8).

a)

h(8) = -360

b)

h(8) = -67

21.

Evaluate f(-2) if f(x) = x²+ 3

a)

-1

b)

1

c)

7

d)

-7

22.

What is the domain?

a)

{1, 2, 3, 4, 5, 6}

b)

{0, 1, 2, 3, 4, 5, 6}

c)

{2, 4, 8}

d)

{-1, 0, 1, 2, 3, 6}

23.

Describe the graph as discrete, continuous, or discontinuous.

a)

Discrete

b)

Continuous

c)

Discontinuous

24.

Describe the graph as discrete, continuous, or discontinuous.

a)

Discrete

b)

Continuous

c)

Discontinuous

25.

Describe the graph as discrete, continuous, or discontinuous.

a)

Discrete

b)

Continuous

c)

Discontinuous

26.

a)

Yes

b)

No

27.

Which set of ordered pairs 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)}

28.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

29.

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

a)

0

b)

-3

c)

3

d)

-1

30.

Does the graph represent a linear function, a non-linear function, or is it not a function?

a)

Linear Function

b)

Non-Linear Function

c)

Not a Function

31.

Does the graph represent a linear function, a non-linear function, or is it not a function?

a)

Linear Function

b)

Non-Linear Function

c)

Not a Function

32.

Is the function Linear or Nonlinear?

a)

Linear

b)

Nonlinear

33.

Which equation is written in standard form?

a)

y = 3x - 5

b)

3x + 16 = 5y

c)

2/3 x + 9/13 y = 21

d)

5x + 7y = -12

34.

Put this into standard form:

y = 3x + 2

a)

y + 3x = 2

b)

3x + y = 2

c)

3x - y = -2

d)

3x - 2y = 2

35.

Put this into standard form:

8x = 9y + 10

a)

8x - 10 = 9y

b)

9y - 8x = 10

c)

8x + 9y = 10

d)

8x - 9y = 10

36.

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

37.

a)

Function

b)

Not a Function

38.

Transform from standard form to slope intercept form: 2x-3y=10

a)

y=-2x+10

b)

y= 2/3x-10/3

c)

y=-2/3x+ 10/3

d)

y=2/3x+10

39.

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

a)

7/6

b)

2

c)

6/7

d)

-2

40.

Which graph is linear?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

41.

a)

A

b)

B

c)

C

d)

D

42.

When you have a vertical line, you have a slope that's _______

a)

Zero

b)

Undefined

c)

One

d)

Ten

43.

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}

44.

What equation does the table represent?

a)

y=x+1

b)

y=x-1

c)

y=2x+1

d)

y=2x-1

45.

Which equation matches the table?

a)

y=2x

b)

y=x-3

c)

y=x+2

d)

y=1/2x

46.

Does this mapping diagram represent a function?

a)

No, because there are repeating input values

b)

Yes, because there are no repeating input values

47.

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

48.

Which graph represents x=2?

a)

A

b)

B

c)

C

d)

D

49.

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

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

50.

What slope is parallel to:
m = 3/4

a)

4/3

b)

3/4

c)

-3/4

d)

-4/3

51.

What slope is perpendicular to:
m = 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

52.

The first number in an ordered pair is...

a)

the larger number.

b)

the origin.

c)

the x-coordinate.

d)

the y-coordinate.

53.

The point where the two axes intersect in known as...

a)

the center.

b)

the relation.

c)

the intersection.

d)

the origin.

54.

Is this a function?

a)

Yes

b)

No

55.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

56.

Find the slope of the line passing through the given points.

(2;3) and (5;9)

a)

2

b)

-3

c)

8

d)

-1

57.

Find the slope of the line.

Fill in the blank.

(a)

58.

Find the slope and y-intercept of the line.
$y=3x+1$

a)

m=1, b=3

b)

m=-1, b=3

c)

m=-3, b=1

d)

m=3, b=1

59.

Write an equation of the line that passes through the given point and has the given slope.

(-3;-7) and m=2

a)

$y=-7x-3$

b)

$y=-3x-7$

c)

$y=x-2$

d)

$y=2x-1$

60.

Write an equation of the line.

Fill in the blank as y=mx+b, without any space.

(a)

61.

What is the y-intercept of

2x - 5y = 35?

a)

(0, -7)

b)

(-7, 0)

c)

( $\frac{35}{2}$ , 0)

d)

(0, $\frac{35}{2}$ )

62.

What is the slope of

-6x - 2y = 9?

a)

$\frac{9}{2}$

b)

9

c)

-3

d)

-6

63.

Give the x-intercept
3x + 8y = 24

a)

(8, 0)

b)

(0, 8)

c)

(3, 0)

d)

(0, 3)

64.

Which graph represents 2x + 4y = 12?

a)

b)

c)

d)

65.

Which of these is a solution to the equation

y=2x-7

?

a)

(2,-3)

b)

(0, 7)

66.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

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.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

69.

What is the y-intercept for the given graph?

a)

(0,-5)

b)

(0,5)

c)

(0,1)

d)

(0,-1)

70.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2

d)

-2

71.

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

a)

A

b)

B

c)

C

d)

D

72.

Find the value of y when x = 2.

a)

2

b)

6

c)

7

d)

8

73.

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

a)

7/6

b)

2

c)

6/7

d)

-2

74.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

75.

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

76.

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

a)

-2

b)

2

c)

3

d)

-3

77.

Find the slope:
y = 2x - 10

a)

1/2

b)

2

c)

5

d)

-10

78.

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

79.

Find the x and y intercepts
4x - 5y = 40

a)

x intercept is 10
y intercept is 8

b)

x intercept is 10
y intercept is 20

c)

x intercept is 8
y intercept is 10

d)

x intercept is 10
y intercept is -8

80.

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

a)

(-3, 0)

b)

(0, 4)

c)

(0, -3)

d)

(4, 0)

81.

What is the slope of

-6x-2y=9?

a)

9/2

b)

9

c)

-3

d)

-6

82.

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)

83.

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

84.

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

85.

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

86.

What slope is parallel to:
m = 3/4

a)

4/3

b)

3/4

c)

-3/4

d)

-4/3

87.

What slope is perpendicular to:
m = 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

88.

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

a)

y = 3x +2

b)

x=3

c)

y=2x+3

d)

y=x

89.

Find the slope of the line.

a)

4/2

b)

-4/2

c)

2

d)

-2

90.

Find the slope of the line.

a)

Undefined

b)

0

c)

1/1

d)

-1/1

91.

Which equation represents the graph?

a)

x = 2

b)

y = 2

c)

y = 2x

d)

y = undefined

92.

What is coordinate L?

a)

(6,6)

b)

(2,5)

c)

(2,3)

d)

(5,2)

93.

Name the x- and y-intercepts for the equation:
2x - y = 6

a)

(0, 3) and (-6, 0)

b)

(0, -3) and (-6, 0)

c)

(3, 0) and (0, -6)

d)

(-3, 0) and (0, -6)

94.

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

a)

5

b)

-5

c)

6

d)

-6

95.

What is the standard form equation?

a)

y=mx+b

b)

Ax+By=C

c)

y-y₁=m(x-x₁)

d)

y=b-x

96.

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

a)

8

b)

-8

c)

6

d)

-6

97.

Graph

a)

b)

c)

d)

98.

Graph

a)

b)

c)

d)

99.

What type of function is present? y=-2x+1

a)

Linear Inequality

b)

Linear Equation

c)

Exponential

d)

Absolute Value

100.

What is the Domain of the set of coordinate?
(-2,4) (-3,5)(-4,6)

a)

4, 5, 6,

b)

-2, -3 -4

c)

-2, -4

d)

no domain

101.

What is the y-intercept of the equation y=3x-5

a)

5

b)

3

c)

-5

d)

1

102.

What is the slope in the equation: y=4x+3

a)

3

b)

4x

c)

4

d)

x

Linear functions

Total questions: 102

Worksheet time: 4hrs 41mins

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