wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Review for Unit 3 Exam- Parallel and Perpendicular lines

Total questions: 55

Worksheet time: 3hrs 52mins

Name
Class
Date
1.

What type of slope?

a)

positive

b)

negative

c)

zero

d)

undefined

2.
What type of slope?
a)
zero slope
b)
undefined
c)
negative
d)
positive
3.
What type of slope?
a)
undefined
b)
positive slope
c)
negative slope
d)
zero slope
4.

Find the slope of the line below using rise/run.

a)

23\frac{2}{3}

b)

32\frac{3}{2}

c)

3

d)

13\frac{1}{3}

5.

Identify the slope in the equation:


y=8xy=8x  

a)

8

b)

1/8

c)

-8

d)

0

6.

y=x+5y=x+5  

Identify the slope in the equation:



(a)  

7.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
8.
Find the slope of the line that passes through:
(6,7) and (4,2)
a)
2/5
b)
-5/2
c)
5/2
d)
-1/2
9.
Find the slope of the line that passes through: 
(2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
10.
Convert the standard form equation into slope-intercept form.
x + 5y = -25
a)
y = -⅕x - 5
b)
y = -x - 5
c)
x = 20
d)
y = 27, 239, 430
11.

what is the slope of the following 12x - 6y = 30

a)

2

b)

-2

c)

12

d)

-12

12.

which of the following is the best first step to solve for y = mx +b? equation is -2x - 4y = -12

a)

add 4y to both sides

b)

subtract 2x from both sides

c)

add 2x to both sides

d)

divide by -4

13.
Determine the slope and y-intercept from the following equation:   4x + y = -10
a)
slope: 4   y-intercept:  (0,10)
b)
slope: -4   y-intercept:  (0,-10)
c)
slope: -4   y-intercept:  (0,10)
d)
slope: 4   y-intercept:  (0,-10)
14.
Write the equation of the line.
a)
y= -1x-3
b)
y= -3x-1
c)
y=-1/3x-1
d)
y= -3x-3
15.
Which equation matches the graph? (Click me to see the image)
a)
y = 2x
b)
y = 1/4 x + 2
c)
y = 1x + 4
d)
y = -2x
16.

Identify the slope of the following graph.

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

17.
Slopes of parallel lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
18.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
19.
y = 3x +2
y = 3x - 3
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
d)
The same line
20.
y = -2/3x + 2
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
21.
The following represents slopes of two lines.  Which answer choice describes the two lines?
m = 5 and m = -1/5
a)
Parallel
b)
Perpendicular
c)
Neither
22.
The following represents slopes of two lines.  Which answer choice describes the two lines?
m = -1/3 and m = -1/3
a)
Parallel
b)
Perpendicular
c)
Neither
23.
The following represents slopes of two lines.  Which answer choice describes the two lines?
m = 7 and m = -7
a)
Parallel
b)
Perpendicular
c)
Neither
24.
What does 'b" represent in y=mx+b
a)
y-intercept
b)
base
c)
nothing
d)
slope
25.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
measurements
d)
nothing
26.
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
27.
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
28.

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

29.

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

30.

Convert the standard form equation into slope-intercept form.

6x - 7y = -35

a)

y=76x5y=\frac{7}{6}x-5

b)

y=67x+5y=\frac{6}{7}x+5

c)

y=57x6y=\frac{5}{7}x-6

d)

y=67x5y=-\frac{6}{7}x-5

31.

Which two lines are parallel?

a)

y=14x25y=-\frac{1}{4}x-25

b)

y=14x+2y=\frac{1}{4}x+2

c)

y=4x25y=-4x-25

d)

y=4x+13y=4x+13

e)

y=14x+9y=\frac{1}{4}x+9

32.

Which two lines are perpendicular?

a)

y=37x25y=\frac{3}{7}x-25

b)

y=37x+2y=-\frac{3}{7}x+2

c)

y=73x25y=-\frac{7}{3}x-25

d)

y=3x+13y=3x+13

e)

y=7x+9y=7x+9

33.

Which line(s) are perpendicular to the line:  8x+2y=228x+2y=22  

a)

y=14x1y=\frac{1}{4}x-1  

b)

y=14x+13y=-\frac{1}{4}x+13  

c)

y12=14(x+13)y-12=-\frac{1}{4}\left(x+13\right)  

d)

y5=4(x+8)y-5=4\left(x+8\right)  

e)

y2=14(x+3)y-2=\frac{1}{4}\left(x+3\right)  

34.

What is the equation in Point-Slope form

of the line that goes through

the point (6,1) and has a slope of -3?

a)

y - 6 = -3(x - 1)

b)

y + 6 = -3(x + 1)

c)

y - 1 = -3(x - 6)

d)

y + 1 = -3(x + 3)

35.
Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4
a)
y + 7 = -1/4(x - 4)
b)
y - 4 = -1/4(x + 7)
c)
y + 7 = 4(x - 4)
d)
y - 7 = -1/4(x - 4)
36.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
37.
Name the angle relationship.
a)
Consecutive Interior
b)
Alternate Interior
c)
Corresponding
d)
Vertical Angles
38.
Name a pair of alternate interior angles.
a)
angle 3 & angle 4
b)
angle 5 & angle 6
c)
angle 3 & angle 6
d)
angle 3 & angle 5
39.
What are supplementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect
40.
If angle 6 is 25 degrees, how many degrees is angle 7?
a)
25 degrees
b)
50 degrees
c)
90 degrees
d)
155 degrees
41.
If angle 1 is 135 degrees, how many degrees is angle 3?
a)
45 degrees
b)
65 degrees
c)
135 degrees
d)
225 degrees
42.
Find m ∠C.
a)
∠C=116°
b)
∠C=64°
c)
∠C=180°
d)
∠C=26°
43.
Find m∠D.
a)
∠D=116°
b)
∠D=64°
c)
∠D=180°
d)
∠D=26°
44.
Find L
a)
∠L=51°
b)
∠L=129°
c)
∠L=180°
d)
∠L=39°
45.
Angle 1 = 27o
Find the measure of angle 4
a)
27o
b)
153o
c)
63o
d)
90o
46.

Find the missing angle measure and name the pair of angles.

a)

79 degrees; Vertical Angles

b)

101 degrees; Linear Pair

c)

79 degrees; Corresponding Angles

d)

101 degrees; Alternate Interior Angles

47.

Find the value of x.

(a)  

48.

Find the value of x.

(a)  

49.
WHICH IS THE CORRECT EQUATION TO SOLVE FOR X? 
a)
16X+180 = 90
b)

12X - 29 = 4X +1

c)

12X - 29 + 4X +1=90

d)

12X - 29 + 4X +1=180

50.
WHAT IS THE CORRECT EQUATION TO USE TO SOLVE FOR X?
a)
33 = 7X +5
b)
-7X=33
c)
33+7X+5=180
d)
33+7X+5=90
51.
WHAT IS THE CORRECT EQUATION TO FIND THE VALUE OF X?
a)
X=12
b)
8X - 17 + 5X +19 = 180
c)
8X - 17 = 5X +19
d)
X= -12
52.

Find the value of x.

a)

x = 10.6

b)

x = 13

c)

x = 7.4

d)

x = 5

53.

Find the value of x.

a)

x = 9

b)

x = -29

c)

x = -9

d)

x = 29

54.

Solve for x.

a)

x =10

b)

x = -40

c)

x = 35

d)

x = 12.5

55.
Find the measure of angle 1.
a)
28o
b)
136o
c)
44o
d)
6o