Free Printable Unit 4: Linear Equations

1.

Identify the slope as positive, negative, zero or undefined.

a)

positive

b)

negative

c)

zero

d)

undefined

2.

What type of slope?

a)

undefined

b)

positive slope

c)

negative slope

d)

zero slope

3.

What type of slope?

a)

negative

b)

steep

c)

undefined

d)

zero slope

4.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

5.

Find the slope

a)

5/2

b)

-5/2

c)

2/5

d)

-2/5

6.

Find the slope of the line.

a)

-2/1

b)

2/1

c)

-1/2

d)

1/2

7.

Find the slope of the line.

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

8.

What is the Standard Form of a linear equation

a)

Ax+By=C

b)

y=mx+b

c)

y-y1 = m(x-x1)

d)

m = (y2-y1)/(x2-x1)

9.

The ___________ is the point where a line crosses the x-axis.

a)

y-intercept

b)

x-intercept

c)

domain

d)

range

10.

The y-intercept is the point where a line crosses the ___________.

a)

x-axis

b)

origin

c)

y-axis

d)

x-intercept

11.

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

a)

(0, 1)

b)

(1, 0)

c)

(-1, 0)

d)

(0, -1)

12.

What are the x- and y- intercepts, respectively, on this graph?

a)

(0,5), (0,5)

b)

(5,0), (5,0)

c)

(5,0), (0,5)

d)

(0,0), (5,0)

13.

Which ordered pair could represent a y-intercept on a graph?

a)

(6, 0)

b)

(0, 4)

c)

(-1, 3)

d)

(2, 0)

14.

Give the y-interecept
3x + y = 5

a)

(-3, 0)

b)

(0,5)

c)

(5, 0)

d)

(0, -3)

15.

Find the slope.

a)

-2/3

b)

2/3

c)

-3/2

d)

3/2

16.

True or false:
The x-intercept of a function ALWAYS occurs where y is equal to zero.

a)

True

b)

False

17.

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

a)

(8, 0)

b)

(0, 8)

c)

(3, 0)

d)

(0, 3)

18.

Write the equation of the line shown in slope intercept form.

a)

$y=-\frac{1}{2}x+3$

b)

$y=\frac{1}{2}x+3$

c)

$y=3x+\frac{1}{2}$

d)

$y=2x+3$

19.

Write the equation of the line shown in slope intercept form.

a)

$y=5x-3$

b)

$y=-3x+\frac{1}{5}$

c)

$y=-\frac{1}{5}x-3$

d)

$y=\frac{1}{5}x-3$

20.

Write the slope intercept form of the equation that passes through the origin and has a slope of

\frac{1}{3}

.

a)

$y=\frac{1}{3}x+1$

b)

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

c)

$y=\frac{1}{3}x$

d)

$y=3x$

21.

Write the slope intercept form equation of the line passing through the points in the given table.

a)

$y=75x+15$

b)

$y=15x+75$

c)

$y=60x+75$

d)

$y=15x$

22.

Write the slope intercept form equation of the line that goes through the points given in the table.

a)

$y=\frac{2}{3}x+6$

b)

$y=2x+6$

c)

$y=-\frac{2}{3}x+6$

d)

$y=\frac{2}{3}x$

23.

Write the slope intercept form equation of the line going through the points in the given table.

a)

$y=2x+6$

b)

$y=-2x+6$

c)

$y=4x+6$

d)

$y=6x+6$

24.

Write an equation in slope-intercept form that passes through (-3, -3) and (0, -5).

a)

$y=-\frac{3}{2}x-5$

b)

$y=\frac{2}{3}x-1$

c)

$y=-\frac{2}{3}x-5$

d)

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

25.

Write an equation in slope-intercept form that passes through the points (-3, -2) and (-2, 2).

a)

$y=4x-10$

b)

$y=-4x-6$

c)

$y=4x+10$

d)

$y=-4x-10$

26.

Graph the given equation using the slope intercept form method:

y=\frac{1}{3}x-5

a)

b)

c)

d)

27.

Convert the equation to slope intercept form. Then, identify the slope (m) and y-intercept (b).

2x-3y=6

a)

$y=-\frac{2}{3}x+2$ $m=2$ $b=-\frac{2}{3}$

b)

$y=-\frac{2}{3}x+2$ $m=-\frac{2}{3}$ $b=2$

c)

$y=\frac{2}{3}x-2$ $m=-2$ $b=\frac{2}{3}$

d)

$y=\frac{2}{3}x-2$ $m=\frac{2}{3}$ $b=-2$

28.

Amanda went to Pralines for some ice cream. A medium dish is $3.50 plus an additional $0.75 per topping. Let x represent the number of toppings & y represent the total cost.

a)

$y=3.50x+0.75$

b)

$y=0.75x\ +\ 3.50$

c)

$y=3.50x$

d)

$y=0.75x$

29.

Amanda went to Pralines for some ice cream. A medium dish is $3.50 plus an additional $0.75 per topping. If she purchases a medium dish and 2 toppings, what will be her total cost?

a)

$7.75

b)

$2.00

c)

$1.50

d)

$5.00

30.

Amanda went to Pralines for some ice cream. A medium dish is $3.50 plus an additional $0.75 per topping. If her total cost was $6.50, how many toppings did she purchase?

a)

None

b)

2

c)

4

d)

6

31.

The given table shows the number of children and corresponding total cost of hosting a birthday party at the FAST Camp facility. Use the table to determine the flat fee of having a party here.

a)

$0

b)

$50

c)

$62

d)

$80

32.

The given table shows the number of children and corresponding total cost of hosting a birthday party at the FAST Camp facility. Use the table to determine the cost per child (excluding the flat fee).

a)

$6

b)

$12

c)

$18

d)

$30

33.

The given table shows the number of children and corresponding total cost of hosting a birthday party at the FAST Camp facility. Based on the table, what would be the total cost of 20 kids attending the party?

a)

$120

b)

$320

c)

$220

d)

$170

34.

The given table shows the number of children and corresponding total cost of hosting a birthday party at the FAST Camp facility. How many kids attended the party if the total cost was $140?

a)

14

b)

15

c)

16

d)

17

35.

Slope can be found a graph by...

a)

Looking at where the line crosses the y-axis

b)

Looking at where the line crosses the x-axis

c)

Calculating "rise over run"

d)

Calculating "run over rise"

36.

The y-intercept can be found a graph by...

a)

Looking at where the line crosses the x-axis

b)

Looking at where the line crosses the y-axis

c)

Calculating "rise over run"

d)

Calculating "run over rise"

37.

Slope can by found from a table by... (select all that apply)

a)

Finding the "change in y over change in x"

b)

Finding the "change in x over change in y"

c)

Picking 2 points and using the slope formula

d)

Plotting the points on a graph and doing "rise over run"

38.

What are the x- and y -intercepts on this graph?

a)

(0,5), (0,5)

b)

(5,0), (5,0)

c)

(5,0), (0,5)

d)

(0,0), (5,0)

39.

What is the y-intercept for the given graph?

a)

-5

b)

5

c)

1

d)

-1

40.

What is the y-intercept for the given graph?

a)

-5

b)

5

c)

1

d)

-1

41.

What is the x-intercept?

a)

12

b)

-3

c)

8

d)

0

42.

What is the y-intercept?

a)

7

b)

0

c)

1

d)

2

43.

What is the x-intercept shown on the graph?

a)

(2, 0)

b)

(-2, 0)

c)

(0, 3)

d)

(3, 0)

44.

What is the y-intercept shown on the graph?

a)

(0, -2)

b)

(3, 0)

c)

(0, 3)

d)

None of these.

45.

What is the x-intercept shown on the graph?

a)

(4, -2)

b)

(0, -2)

c)

(4, 0)

d)

(0, 4)

46.

What is the y-intercept shown on the graph?

a)

(0, -2)

b)

(4, -2)

c)

(4, 0)

d)

(0, 4)

47.

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

a)

x = 1

b)

x = 2

c)

x = -1

d)

x = -2

48.

Identify the x-intercept of the graph.

a)

(-4, 0)

b)

(0, -2)

c)

(0, -4)

d)

(-2, 0

49.

Identify the y-intercept of the graph.

a)

(0, 3)

b)

(-1, 0)

c)

(0, -1)

d)

(3, 0)

50.

Identify the graph with a x-intercept of 3 and a y-intercept of - 1

a)

b)

c)

d)

51.

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

a)

b)

c)

d)

52.

What would the graph of the equation x = -4 look like?

a)

Horizontal line

b)

Vertical line

c)

Slanted line

d)

No way to tell

53.

What would the graph of y = 8 look like?

a)

Horizontal line

b)

Vertical line

c)

Slanted line

d)

No way to tell

54.

The line y = 9 has what kind of slope?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

55.

The line x = -11 has what kind of slope?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

56.

What is another name for the line with the equation x=0?

a)

The x-axis

b)

The y-axis

c)

The origin

d)

None of the above

57.

What is another name for the graph of the line y = 0?

a)

The x-axis

b)

The y-axis

c)

The origin

d)

None of the above

58.

Describe the direction of a vertical line.

a)

up and down

b)

side to side/left to right

59.

Describe the direction of a horizontal line.

a)

up and down

b)

side to side/left to right

60.

Is the graph of this equation a horizontal line, vertical line, or a slanted line?
y = 10

a)

horizontal

b)

vertical

c)

slanted

61.

Is the graph of this equation a horizontal line, vertical line, or a slanted line?
x = 9

a)

horizontal

b)

vertical

c)

slanted

62.

Write the equation of the line shown?

a)

y = 6

b)

x = 6

c)

y = 6x

d)

y = 0

e)

x = 0

63.

Write the equation of the line shown?

a)

y = 6

b)

x = 6

c)

y = 6x

d)

x = 0

e)

y = 0

64.

Write the equation of the line shown.

a)

y = 0

b)

y = -3

c)

x = -3

d)

y = -3x

e)

x = 0

65.

Write the equation of the line shown.

a)

x = -7

b)

y = -7

c)

y = -7x

d)

y = 0

e)

x = -7y

66.

Write the equation of the line shown.

a)

y = -5.5

b)

x = -5.5

c)

y = -5.5x

d)

x = -5.5y

e)

y = 0

67.

Write the equation of the line shown.

a)

x = 13/2

b)

y = 13/2

c)

x = 6

d)

y = 6

68.

Write the equation of the line shown.

a)

x = 1.5

b)

y = 1.5

c)

x = 1

d)

y = 2

69.

Write the equation of the line shown.

a)

x = -7/2

b)

y = -7/2

c)

y = -7/2x

d)

x = 0

e)

y = 0

70.

Which graph represents the equation

y = 4?

a)

b)

c)

d)

71.

Which graph represents the equation

x = 5?

a)

b)

c)

d)

72.

Which graph represents the equation

y = 2?

a)

b)

c)

d)

73.

Which graph represents the equation

x = -7.5

a)

b)

c)

d)

74.

Which graph represents the equation

y = 0.5?

a)

b)

c)

d)

75.

Which graph represents the equation

x = 9/2

a)

b)

c)

d)

76.

Write the equation of the vertical line that passes through the point (-6, 7).

a)

y = -6

b)

x = -6

c)

y = 7

d)

x = 7

77.

Write the equation of the horizontal line that passes through the point (-6, 7).

a)

y = -6

b)

x = -6

c)

y = 7

d)

x= 7

78.

Write the equation of the vertical line that passes through the point (3, 0).

a)

y = 3

b)

x = 3

c)

y = 0

d)

x = 0

79.

Write the equation of the horizontal line that passes through the point (3, 0).

a)

y = 3

b)

x = 3

c)

y = 0

d)

x = 0

80.

Write the equation of the vertical line that passes through the point (-3.5, 8.75)

a)

y = -3.5

b)

x = -3.5

c)

y = 8.75

d)

x = 8.75

81.

Write the equation of the horizontal line that passes through the point (-3.75, 8.5)

a)

y = -3.75

b)

x = -3.75

c)

y = 8.5

d)

x = 8.5

82.

Match the Graph with its slope.

a)

1.

Negative

b)

2.

Positive

c)

3.

Zero

d)

4.

Undefined

83.

Slope is know as

rise/______

a)

run

b)

fall

c)

none

d)

rise

84.

Transform this point-slope equation into slope intercept form:

$y-2=3\left(x+4\right)$

(a)

85.

Write the equation in point-slope form for the line that contains the points

(-2, -3), (4, 3)

a)

y - 3 = 1(x - 2)

b)

y + 3 = 1(x + 2)

c)

y -3 = -1(x + 2)

d)

y + 3 = -1(x - 2)

86.

What is the slope of a line passing through the points (-2, -3) and (4, 3)

(a)

87.

Find the x-value of the point given in the equations

Student A: y - 3 = 4 (x + 2)

Student B: y + 1 = 6 (x - 5)

Student C: y + 4 = -3 (x + 8)

The sum of the three answers is (a)

88.

Name the point given in this line: $y+1=-\frac{5}{4}\left(x-3\right)$

(a)

89.

Name the slope of this line:

$y+1=-\frac{5}{4}\left(x-3\right)$

(a)

90.

Write an equation of the line going through the point (-4, 1) with a slope of 1/3.

a)

$y-1=\frac{1}{3}\left(x+4\right)$

b)

$y+4=\frac{1}{3}\left(x-1\right)$

c)

$y-4=\frac{1}{3}\left(x+1\right)$

d)

$y+1=\frac{1}{3}\left(x-4\right)$

91.

Which of these is point-slope?

a)

$y-y_1=m\left(x-x_1\right)$

b)

$y=mx+b$

c)

$Ax+By=C$

92.

What does the "b" represent in $y=mx+b$

a)

y-intercept

b)

nothing

c)

slope

d)

base

93.

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

a)

3

b)

4

c)

3x

d)

4x

94.

What is the y-intercept in the equation $y=4x+3$

a)

3

b)

4

c)

3x

d)

4x

95.

Which of these is the slope formula?

a)

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

b)

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

c)

$m=\frac{x_2+x_1}{2},\frac{y_2+y_1}{2}$

d)

$m=\sqrt[]{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

96.

Slope can be described as __ or __.

a)

rise over run

b)

the change in Y over the change in X

c)

run over rise

d)

the change in X over the change in Y

97.

Given a slope and one point, we can write the equation of a line.

a)

True

b)

False

98.

Write equation of the line containing (6,3) and (4,1)

a)

y = -1x + 5

b)

y = 1x - 3

c)

y = 1x + 5

d)

y = -1x + 3

99.

Write the equation of the line that passes through the points
(3, 3) and (4, -1).

a)

y = -4x - 15

b)

y = 1/4x + 15

c)

y = -4x + 15

d)

y = -1/4x - 15

100.

Find the equation of the line that passes through the points:
(0, -2) and (-5, 3)

a)

y = -x - 2

b)

y = x - 2

c)

y = x + 3

d)

y = -x - 3

101.

What is the slope of an linear equation that is parallel to y=5x+1

a)

6

b)

5

c)

-5

d)

10

102.

$y=\frac{1}{5}x+9$

Which of the following represent the negative reciprocal slope of this equation

a)

5

b)

-5

c)

$\frac{1}{5}$

d)

9

103.

What is the slope of the line that is perpendicular to

y=-3x-1

a)

-3

b)

$-\frac{1}{3}$

c)

$\frac{1}{3}$

d)

3

104.

$y=-\frac{2}{3}x+9$ $y=\frac{3}{2}x-12$

These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

105.

Which equation represents a line that is perpendicular to this line: $y=-6x+2$

a)

$y=6x+1$

b)

$y=\frac{1}{6}x+4$

c)

$y=-6x+3$

d)

$y=-\frac{1}{6}x+5$

106.

Find the slope of the line that passes through (-4, 7) and (-6, -4)

a)

2/11

b)

-2/11

c)

11/2

d)

-11/2

107.

Given $y=7x+2$

$x+7y=8$

Determine whether the graphs are

a)

Parallel

b)

Neither

c)

Perpendicular

d)

Linear Pair

108.

Which of the following equation is perpendicular to y=2x-3 and passes through the point (-4,3)

a)

$y=\frac{1}{2}x+3$

b)

y=2x+4

c)

y=-2x+1

d)

$y=\ -\frac{1}{2}x+1$

109.

Which one of the following equations is parallel to $y=\frac{1}{2}x+5$ and passes through the point (4,-5)

a)

$y=\frac{1}{2}x-7$

b)

y=-2x+3

c)

$y=\frac{1}{2}x-3$

d)

y=2x-7

110.

Which of the following equation represent the slope intercept form of the line that passes through the points (5, 2) and (3, -2)

a)

y=-2x+12

b)

y=2x-8

c)

$y=\frac{-2}{3}x-1$

d)

y=2x-12

111.

Given the graph, the slope is (a) and the y-intercept is

(b) .

Choose from the below words

$\frac{3}{4}$

(0,-3)

(-3,0)

(4,0)

(0,4)

$-\frac{3}{4}$

$\frac{4}{3}$

$-\frac{4}{3}$

112.

Graph: $y=-\frac{1}{2}x-2$

113.

Graph: $y=\frac{3}{2}x+3$

114.

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

a)

b)

c)

d)

115.

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

Unit 4: Linear Equations

Total questions: 115

Worksheet time: 6hrs 45mins

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