Free Printable 2.15-2.20 Practice

Worksheets

2.15-2.20 Practice

Total questions: 110

Worksheet time: 5hrs 1mins

Name

Class

Date

From the table, is the function Linear or Nonlinear?

Linear

Nonlinear

Is the function Linear or Nonlinear?

Linear

Nonlinear

Is the function Linear or Nonlinear?

Linear

Nonlinear

Which function is linear?

y = 2x + 4

y = 2x² + 4

y = 2x(4 − 3x)

xy = 15

Is the function Linear or Nonlinear?

Linear

Nonlinear

Is the function Linear or Nonlinear?

Linear

Nonlinear

In the equation, y = mx + b, the letter b is the ___________.

y-intercept

x-intercept

slope

rate of change

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

-3

-4

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

10.

What type of slope does the graph have?

Zero

Undefined

Negative

Positive

11.

Is the relation a function? Why.

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

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

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

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

12.

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

y = 150 + 40

y = 40x + 150

y = 150x + 40

13.

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.

T = 15 + 25r

T = 15g + 25r

T = 40 r

T = 15r + 25

14.

What is the domain of the graph shown?

{-2, -1, 0, 1, 2, 3, 4}

{2, 3, 4}

2 ≤ y ≤ 4

-2 ≤ x ≤ 4

15.

What is the range of the following graph?

all real numbers

all integers

any real number greater than zero

it can not be determined

16.

_{What is the y-intercept of the line?}

(0,¹/₂)

(0,1)

(0, ^-1/2)

(0, -1)

17.

^{What is the x- intercept of the line?}

(1, 0)

(2, 0)

( -1, 0)

(-2, 0)

18.

Which of these represents slope-intercept form?

y - y₁ = m(x-x₁)

Ax + By = C

y = mx + b

19.

What is the equation of the line?

y=3x

y=3

x=3

y=-3

20.

When is the function decreasing?

(30, 55)

(40, 60]

(15, 40)

(60, -40)

21.

When is this function increasing?

(-3, 3)

(-2.5, 2.5)

[-3, 3]

(3, ∞)

22.

What is the domain of the graph?
Remember: Domain is x

1≤ x ≤ 4

1 < x < 4

1≤ y ≤ 4

1 < y < 4

23.

What is the domain of the graph?

24.

What is the domain of the graph?

1≤ x ≤ 4

1 < x < 4

1≤ y ≤ 4

1 < y < 4

25.

What is the domain?

x = 2

−∞ < x < ∞

y = 2

none of these

26.

What is the domain of the graph?

y≥1

x ≥ 1

All real numbers

none of these

27.

What is the domain of the graph?

All real numbers

To infinity and beyond

y ≥ 0

x ≥ 0

28.

What is the range of the graph?

All real numbers

To infinity and beyond

y ≥ 0

x ≥ 0

29.

What is the Range?

y ≥ 6

y ≤ 6

-10 ≤ y ≤ 6

-10 ≤ x ≤ 6

30.

What is the domain?

x = 2

−∞ < x < ∞

y = 2

none of these

31.

Identify the slope (AC) of triangle ABC.

1/2

-2

-1/2

32.

The slope of line AC is equal to $\frac{AB}{BC}$ . What is the measure of the slope?

2/3

3/4

3/2

1/3

33.

Find the slope of the line.

-5/4

5/4

-4/5

4/5

34.

Identify the slope of the red line.

-1

-3

35.

m stands for __________

the X line

the Y line

no slope

slope

36.

How do you calculate slope using a graph?

rise over run

run over rise

look at the y intercept

look at the x intercept

37.

Find the slope of the line.

1/4

-1/4

-4

38.

Identify the slope (AC) of triangle ABC.

1/2

-2

-1/2

39.

Identify the slope (AC) of triangle ABC.

1/2

-2

-1/2

40.

Identify the slope of EF in triangle DEF.

-1

-3

41.

Identify the slope (CA) of triangle ABC.

1/3

-3

-1/3

42.

Identify the slope (AC) of triangle ABC.

1/2

-2

-1/2

43.

Identify the slope of EF in triangle DEF.

-1

-3

44.

Write a linear equation in the form of y=mx+b

y = 2x + 2

y = 2x - 2

y = x + 2

y = 3x - 2

45.

Write a linear equation in the form of y=mx+b

y = -2x + 7

y = 7x - 2

y = x + 7

y = -2x

46.

Write a linear equation in the form of y=mx+b

y = -2x - 3

y = 2x - 3

y = 3x -2

y= -3x -2

47.

Write a linear equation in the form of y=mx+b

y = 2x + 1

y = x + 2

y = 3x = 2

y = 2x - 1

48.

Write the equation of the line.

y= -1x-3

y= -3x-1

y=-1/3x-1

y= -3x-3

49.

Which equation matches the graph? (Click me to see the image)

y = 2x

y = 1/4 x + 2

y = 1x + 4

y = -2x

50.

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

51.

What is the slope in the equation y=2x + 3?

Cannot be Determined

52.

What is the range of the mapping?

{1, 2, 4}

{0, 1, 2, 3}

{0, 3}

{1, 4}

53.

What is the domain of the relation shown in the table?

{12}

{6, 18}

{3, 9, 15, 16}

{13}

54.

What is the range of the table?

{-4, 0, 1, 3}

{-2, 0, 2, 3}

{-4, -2, 0, 1, 2, 3}

{ (0, 0), (2, -4), (3, 3), (-2, 1) }

55.

What is the domain of the graph?

-7 ≤ x < 5

-3 ≤ x < 1

-3 ≤ y < 1

-7 ≤ y < 5

56.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

D: {1, -3, -4,}
R: {0, 1, 2, -4}

D:{0, 1, 2, -4}
R:{1, -3, -4}

D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

57.

What variable typically represents the domain?

58.

What variable typically represents the range?

59.

What is the domain?

{0, 1, 2, 15}

(0, 1, 2, 3}

{3, 7, 11, 15}

{3, 7, 11, 3}

60.

What is the range?

{0, 1, 2, 15}

(0, 1, 2, 3}

{3, 7, 11, 15}

{3, 7, 11, 3}

61.

The set of all the inputs of a relation are called _____.

domain

range

62.

The set of all the outputs of a relation are called _____.

domain

range

63.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

D: {1, -3, -4,}
R: {0, 1, 2, -4}

D:{0, 1, 2, -4}
R:{1, -3, -4}

D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

64.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

D: {1, -3, -4,}
R: {0, 1, 2, -4}

D: {-4, 0, 1, 2}
R:{-4, -3, 1}

D: {0, 1, 2, 3, 4}
R:{1, -3, -4}

D: {0, 1, 2, -4}
R: {1, -3, -4, 1}

65.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

D: {1, -3, -4,}
R: {0, 1, 2, -4}

D:{0, 1, 2, -4}
R:{1, -3, -4}

D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

66.

What is the range of the relation shown in the table?

{-4, 0, 1. 3}

{-4, -2, 0, 1, 2, 3}

{-2, 0, 2, 3}

{(0,0), (2, - 4),

(3, 3), (-2, 1)}

67.

Is this set of ordered pairs a function or not a function?

Function

Not a Function

68.

Is this a function?

Yes, it is a function.

No, it is not a function.

69.

Function

Not a Function

70.

Is this is a function or not a function?

Function

Not a Function

71.

Is the mapping a function or not?

Function

Not a Function

72.

Is this relation a function?

{(6, 5), (7, 3), (8, 1), (9, 1)}

Yes, a Function

No, not a Function

73.

Is this table a function or not a function?

Function

Not a Function

74.

Is this set of ordered pairs a function?

{(9, 2), (-3, 2), (9, 0), (2, 2), (1, 2)}

Yes, a Function

No, not a Function

75.

Is the mapping a function or not?

Function

Not a Function

76.

Identify the domain values from the relation below:

{(3, 5), (-3, 7), (0, 8), (-6, 4)}

{3, -3, 0, -6}

{5, 7, 8, 4}

{(3,5), (-3,7), (0,8), (-6,4)}

{3, -3, -6}

77.

What is the slope in the equation y=2x + 3?

Cannot be Determined

78.

Determine the slope and y-intercept. y = 3/2x + 3

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

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

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

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

79.

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

y=3-6

y=3x-6

y=3x+6

y=6x+3

80.

What is the equation of this line?

y = 2x +2

y = 2x -2

y = -x + 2

Cannot be Determined

81.

Write the equation of the line.

y = -1/3x - 2

y = 1/3x - 2

y = 3x - 2

y = -3x - 2

82.

Write the equation of the line.

y = -2/3x + 4

y = 2/3x + 4

y = 3/2x + 4

y = -3/2x + 4

83.

Does the graph represent a linear or nonlinear function?

linear

nonlinear

84.

Does the graph represent a linear or nonlinear function?

linear

nonlinear

85.

Does the graph represent a linear or nonlinear function?

linear

nonlinear

86.

Does the graph represent a linear or nonlinear function?

linear

nonlinear

87.

Does the graph represent a linear or nonlinear function?

linear

nonlinear

88.

Does the graph represent a linear or nonlinear function?

linear

nonlinear

89.