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Worksheets8th grade review
Total questions: 188
Worksheet time: 16hrs 40mins
Name
Class
Date
1.
a)
100°
b)
80°
c)
90°
d)
180°
2.
a)
100°
b)
80°
c)
90°
d)
180°
3.
a)
100°
b)
80°
c)
90°
d)
180°
4.
a)
60°
b)
120°
c)
90°
d)
180°
5.
What are complementary 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.
6.
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
7.
What are vertical angles?
a)
Angles that are adjacent to each other
b)
Angles that add up to 180°
c)
Angles that are opposite of each other when lines intersect
d)
Angles that add up to 90°
8.
Is it possible to find the complement angle of 103°? If so, what is it?
a)
Yes, the complement angle is 77°
b)
Not possible.
c)
Yes, the compliment angle is 83°
d)
Yes, the complement angle is 13°
9.
What is the supplement angle to 42°?
a)
48°
b)
138°
c)
100°
d)
Not possible
10.
Which phrase is incorrect?
a)
Complementary angles have to be adjacent.
b)
Supplementary angles equal 180°.
c)
Complementary angles can make a right triangle.
d)
Complementary angles add up to be half of 180°.
11.
What is the supplement angle to 45°?
a)
45°
b)
180°
c)
135°
d)
100°
12.
What is the complement angle to 12°?
a)
78°
b)
68°
c)
168°
d)
90°
13.
Do complementary angles have to be adjacent to each other?
a)
No
b)
Yes
14.
2x and 10x are two angles that are supplementary. What do the angles measure? (Hint: 2x + 10x = 180)
a)
30°,150°
b)
5°,10°
c)
15°, 75°
d)
90°, 180°
15.
These are Complementary angles. Find x.
a)
15
b)
25
c)
75
d)
90
16.
If angle ∠ABD is 67°. What is ∠DBC?
a)
180°
b)
90°
c)
67°
d)
23°
17.
If ∠BPD and ∠DPC have a sum of 72°. What is ∠APC?
a)
18°
b)
90°
c)
108°
d)
180°
18.
Which are pairs of vertical angles?
a)
∠COB & ∠COA
b)
∠AOD & ∠AOC
c)
∠COB & ∠AOD
d)
∠BOD & ∠AOD
19.
Which are pairs of adjacent angles?
a)
∠COB & ∠DOA
b)
∠AOD & ∠AOC
c)
∠COB & ∠AOD
d)
∠BOD & ∠AOC
20.
If ∠COB is 124°, then what is ∠BOD? How are they related?
a)
56°, they are supplementary
b)
90°, they are complementary
c)
124°, they are vertical
21.
Which pair of angles are alternate exterior angles?
a)
Angle 7 and Angle 4
b)
Angle 2 and Angle 6
c)
Angle 8 and Angle 1
d)
Angle 2 and Angle 8
22.
Which pair of angles are alternate interior angles?
a)
Angle 7 and Angle 4
b)
Angle 3 and Angle 6
c)
Angle 8 and Angle 1
d)
Angle 2 and Angle 8
23.
Angle 1 = 27o
Find the measure of angle 4
Find the measure of angle 4
a)
27o
b)
153o
c)
63o
d)
90o
24.
Which pair of angles are corresponding?
a)
Angle 7 and Angle 4
b)
Angle 3 and Angle 6
c)
Angle 8 and Angle 1
d)
Angle 4 and Angle 8
25.
Which of these angles is NOT congruent to angle 5?
a)
Angle 6
b)
Angle 8
c)
Angle 1
d)
Angle 4
26.
What is the value of x?
a)
22
b)
26
c)
24
d)
23
27.
What is the value of x?
a)
60
b)
26
c)
14
d)
10
28.
Determine the missing angle.
a)
47
b)
57
c)
53
d)
133
29.
Determine the missing angle.
a)
145
b)
55
c)
35
d)
45
30.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.
a)
45°
b)
90°
c)
180°
d)
360°
31.
Find the measure of angle b.
Hint: Identify the angle relationship.
a)
25
b)
115
c)
65
32.
2x+3=x-7
a)
x=5
b)
x=-4
c)
x=1
d)
x=-10
33.
5x+1=2x-5
a)
x=-2
b)
x=-6
c)
x=3
d)
x=.5
34.
2x-1=3x+8
a)
x=7
b)
x=-9
c)
x=5
d)
x=3
35.
6x+3=2x-9
a)
x=-3
b)
-12
c)
x=-4
d)
x=6
36.
4x+9=-2x-15
a)
x=-4
b)
x=-24
c)
x=-6
d)
x=1
37.
4a-2=3a-7
a)
a=-9
b)
a=-2
c)
a=7
d)
a=-5
38.
1x-6=2x+3
a)
x=-9
b)
x=3
c)
x=9
d)
x=2
39.
2x+1=23
a)
x=11
b)
x=22
c)
x=2
d)
x=24
40.
x-3=10
a)
x=7
b)
x=10.3
c)
x=5
d)
x=13
41.
4x-3=17
a)
x=5
b)
x=20
c)
x=21
d)
x=4
42.
4 = 2(x + 3)
a)
1/2
b)
7/2
c)
-1
d)
5
43.
3y+6+4y-7=-8
a)
y=-1
b)
y=-8
c)
y=1
d)
y=7
44.
10(h+1)-4=76
a)
h=10
b)
h=4
c)
h=7
d)
h=76
45.
Solve for v.
a)
60
b)
-3
c)
15
d)
3
46.
7(1 - y) = -3(y - 2)
a)
x = 1/4
b)
x = 4
c)
x = 5
47.
6(6v +6) - 5 = 1 + 6v
a)
1
b)
-1
c)
no solution
d)
all real numbers
48.
−118=−5(4+7x)+7
a)
−5
b)
−9
c)
3
d)
−1
49.
96=6(k+8)
a)
12
b)
8
c)
−4
d)
9
50.
97=−3(6n−5)−8
a)
−10
b)
16
c)
−5
d)
−2
51.
−(3v+1)+7(6v+6)=−37
a)
4
b)
0
c)
2
d)
−2
52.
−3x−6x=6+x−7x
a)
−3
b)
12
c)
11
d)
−2
53.
−3(n+8)−4=−40−n
a)
11
b)
6
c)
2
d)
1
54.
2x−16=2(1+4x)
a)
7
b)
−16
c)
−2
d)
−3
55.
a)
1
b)
2
c)
4.67
d)
12
56.
a)
0.5
b)
0.67
c)
1.5
d)
2
57.
a)
2
b)
9.42
c)
24
d)
51.3
58.
a)
1/3
b)
2/3
c)
1
d)
2
59.
a)
1/7
b)
47/36
c)
7
d)
23
60.
a)
1/3
b)
1/5
c)
3
d)
15
61.
a)
-5
b)
-2
c)
-26
d)
-29
62.
a)
30
b)
43
c)
46
d)
54
63.
a)
-2
b)
3
c)
4
d)
-1
64.
a)
-1
b)
5
c)
1
d)
No solution
65.
a)
2
b)
-3
c)
-1
d)
1
66.
a)
-2
b)
4
c)
0
d)
-1
67.
a)
2
b)
0
c)
-1
d)
No Solution
68.
a)
No Solution
b)
3
c)
2
d)
2/3
69.
(x, y) -------> (x, -y) is a reflection over the x axis.
a)
True
b)
False
70.
(x,y) -------> (-x, -y) is a reflection over the y = x axis.
a)
True
b)
False
71.
(x, y) -------> (x - 3, y) is a translation of 3 units to the left.
a)
True
b)
False
72.
(x, y) -------> (x, y - 2) is a translation of 2 units up.
a)
True
b)
False
73.
Which transformation changes the orientation of the shape?
a)
Translation
b)
Reflection
c)
Rotation
d)
Dilation
74.
Write a rule for the translation.
a)
(x -1, y + 2)
b)
(x -2, y + 1)
c)
(x +2, y - 1)
d)
(x +1, y - 2)
75.
All angles in similar figures are congruent.
a)
True
b)
False
76.
Reflect the point (-1, 2) over the y-axis.
a)
(-1, -2)
b)
(1, 2)
c)
(1, -2)
d)
(1, 4)
77.
Translate the point A (-3, 4) right 5 and up 1
a)
(-2, 9)
b)
(-8, 5)
c)
(8, 3)
d)
(2, 5)
78.
How does reflecting a figure over the y-axis change the ordered pair?
a)
Changes the x-coordinate
b)
Changes the y-coordinate
79.
Describe the transformation shown in the graph.
a)
Reflect over x-axis
b)
Reflect over y-axis
c)
Rotate 270 degrees CCW
d)
Rotate 90 degress CCW
80.
Identify the transformation from ABC to A'B'C'.
a)
(x+8, y+4)
b)
(x-8, y-4)
c)
(x+4, y+8)
d)
(x-4, y-8)
81.
When you translate, (x-4,y) will move _____.
a)
4 units right
b)
4 units left
c)
4 units up
d)
4 units down
82.
Write a rule for the translation.
a)
(x -1, y + 2)
b)
(x -2, y + 1)
c)
(x +2, y - 1)
d)
(x +1, y - 2)
83.
Find the value of x (to the nearest whole number)
a)
5
b)
7
c)
9
d)
11
84.
Find the volume of this shape
a)
1520.53
b)
276.46
c)
552.93
d)
6082.12
85.
Find the volume of the cone. Round your answers to the nearest tenth.
a)
127.3 yd3
b)
347.6 yd3
c)
287.7 yd3
d)
147.7 yd3
86.
What is this formula used to find?
V=πr2h
V=πr2h
a)
The volume of a cylinder
b)
The volume of a cone
c)
The volume of a sphere
d)
The area of a circle
87.
Which cylinder will have a larger volume?
a)
Cylinder A
b)
Cylinder B
88.
Find the volume of the 3Dimensional shape
a)
904.32 ft3
b)
7,234.56 ft3
c)
150.72 ft3
89.
What formula do you need to find the area of the base of a cone and cylinder?
a)
A= bh
b)
A= 1/2bh
c)
A=πr2
d)
V= Bh
90.
Find the volume of a HEMIsphere with a radius of 4.
a)
85.3π
b)
62.67π
c)
42.67π
d)
8π
91.
What is the volume of the composite solid?
a)
301.6 cm3
b)
502.7 cm3
c)
268.1 cm3
d)
167.6 cm3
92.
Volume is the amount of space an object takes up.
a)
True
b)
False
93.
A party hat has a diameter of 18 centimeter and a height of 25 centimeter. Find the volume of air it can occupy.
a)
5221.5
b)
1255.5
c)
2229.5
d)
2119.5 cm
94.
A cylindrical container has a diameter of 12 inches and a height of 15 inches, as illustrated in the diagram. What is the volume of this container to the nearest ?
a)
4,241.2
b)
1,696.5
c)
2,160.0
d)
6,785.8
95.
Find the volume of the following cone.
a)
156 ∏ m3
b)
702∏ m3
c)
2,106∏ m3
d)
78∏ m3
96.
A party hat has a diameter of 18 centimeter and a height of 25 centimeter. Find the volume of air it can occupy.
a)
5221.5
b)
1255.5
c)
2229.5
d)
2119.5 cm
97.
What is the formula for circumference of a circle given the diameter?
a)
C = π r
b)
C = 2 π r
c)
C = π d
d)
C = 2 π d
98.
If the area of a circle is 25 π in² , then the diameter is?
a)
10 in
b)
5 in
c)
25 in
d)
pi in
99.
If the circumference of a circle is 22 π ft, what is the radius?
a)
22 ft
b)
11ft
c)
π ft
d)
no ft
100.
If the circumference of a circle is 22π , what is the diameter?
a)
22 ft
b)
11 ft
c)
π ft
d)
0 ft
101.
If the circumference of a circle is 44 π feet, what is the radius?
a)
22 ft
b)
44 ft
c)
33 feet
d)
3.14 feet
102.
The _____ is the distance from the center to any point on the circle.
a)
diameter
b)
radius
c)
π
d)
center
103.
The distance across a circle through its center is called the _____.
a)
diameter
b)
radius
c)
π
d)
center
104.
If you are given the diameter, how can you calculate the radius?
a)
Multiply the diameter by 2
b)
Divide the diameter by 2
c)
Add 2 to the diameter
d)
Subtract 2 from the diameter
105.
Which segment is the diameter?
a)
AC
b)
BD
c)
LM
d)
CE
106.
The circumference of a circle is
a)
The measurement from an edge of a circle to another edge.
b)
The measurement around the circle
c)
The measurement from an edge of a circle to another edge going through the center
d)
The measurement from the center of the circle to an edge of the circle
107.
The diameter of a circle is 3 centimeters. What is the circumference?
a)
11.5cm2
b)
9.42 cm2
c)
unicorns are awsome
d)
45.3 cm2
108.
What is the diameter?
a)
8
b)
16
c)
10
d)
4
109.
Find the circumference of a circle with a radius of 12.5 mm .
a)
37.68mm
b)
18.84mm
c)
78.5mm
d)
none of the above
110.
The Jones family wants to enclose their circular garden with a fence. To the nearest foot, what is the minimum length of fencing they need to buy?
a)
56.25 ft
b)
246.2 ft
c)
365.56 ft
d)
392.5 ft
111.
Steven purchases a bowl. The diameter of the
bowl is 14 cm. What is the circumference of the
bowl?
bowl is 14 cm. What is the circumference of the
bowl?
a)
28 cm
b)
43.98 cm
c)
87.96 cm
d)
7 cm
112.
Cynthia wants to buy a round photo frame for
her brother. The radius of the photo frame is 9 cm.
What is the photo frame’s diameter?
her brother. The radius of the photo frame is 9 cm.
What is the photo frame’s diameter?
a)
28.26 cm
b)
56.52 cm
c)
4.5 cm
d)
18 cm
113.
Determine the radius of the penny
a)
59.66 mm
b)
9.5 mm
c)
38 mm
d)
119.32 mm
114.
Find the circumference (to the nearest whole number)
a)
88 in
b)
44 in
c)
116 square in
d)
None of the above
115.
Find the area of the circle
a)
43.96
b)
153.86
c)
87.82
d)
307.72
116.
what is the area of a circle with the diameter of 10cm ?
a)
66cm
b)
78.5cm
c)
66.5cm
d)
10m
117.
What is the radius of this circle?
a)
12cm
b)
6cm
c)
24cm
d)
3cm
118.
What is the area of this circle?
a)
62.59
b)
113.1
c)
19.81
d)
28.27
119.
What is the area of this circle?
a)
16π
b)
8π
c)
4π
d)
16π²
120.
What is the area of this circle?
a)
82.13
b)
78.54
c)
314.16
d)
170.12
121.
what is the area of a circle with the diameter of 10cm ?
a)
66cm
b)
78.5cm
c)
66.5cm
d)
10m
122.
What is the diameter of this circle?
a)
3.5
b)
3
c)
5
d)
7
123.
Ms. Catall is using a compass to find her way out of the woods. The compass has a radius of 4 centimeters. What is the compass's area?
a)
49.2 cm2
b)
45.6 cm2
c)
50.24 cm2
d)
55.9 cm2
124.
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
125.
Find the slope of the line that passes through
(10, 1) and (5, 2)
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
126.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
127.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
128.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
129.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
130.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2/1
d)
-2/1
131.
Find the slope of the line through each pair of points.
( 19, - 16 ), ( - 7, - 15 )
a)
-4
b)
-1/26
c)
7
d)
-11/7
132.
Find the slope of the line through each pair of points.
( 20, 8 ) and ( 9, 16 )
a)
-16
b)
!/2
c)
0
d)
-8/11
133.
Find the slope of the line through each pair of points.
( 1, - 19 ) and ( - 2, - 7 )
a)
50%
b)
9/4
c)
-4
d)
11
134.
Find the slope of the line through each pair of points.
( 17, - 13 ) and ( 17, 8 )
a)
0
b)
4/2
c)
undefined
d)
-9
135.
Find the slope of the line through each pair of points.
( 6, - 12 ) and ( 15, - 3 )
a)
1
b)
-11/10
c)
61
d)
-2
136.
Find the slope of the line through each pair of points.
( 3 , - 20 ) and ( 5, 8 )
a)
14
b)
5/6
c)
-1/5
d)
2
137.
Find the slope of the line that passes through:
( - 4, 7 ) and ( - 6, - 4 )
a)
-11/2
b)
13/2
c)
3/10
d)
11/2
138.
Find the slope between the two points.
( 3, 7 ) and ( - 4, 2 )
a)
7/5
b)
5/7
c)
2/3
d)
2
139.
Find the slope between the two points.
( 4, 2 ) and ( 3, 8 )
a)
-1/6
b)
-6
c)
1/6
d)
6
140.
Find the slope between the two points.
( 2, 7 ) and ( 5, 8 )
a)
1/3
b)
-1/3
c)
3
d)
-3
141.
What is the slope between the two points?
( 4, - 3 ) and ( 9, 2 )
a)
1
b)
-1
c)
5
d)
-5
142.
What is the slope between the two points?
( 2, - 3 ) and ( 2, 4 )
a)
0
b)
undefined slope
c)
2
d)
4
143.
What is the slope between the two points?
( 6, 8 ) and ( - 3, 8 )
a)
0
b)
undefined slope
c)
8
d)
6
144.
What type of slope does the graph have?
a)
Zero
b)
Undefined
c)
Negative
d)
Positive
145.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
146.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
147.
Find the slope
a)
-5/7
b)
7/5
c)
-7/5
d)
5/7
148.
find the slope
a)
3/2
b)
-3/2
c)
(-0,-3)
d)
none of the above
149.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined
150.
Determine the slope and y-intercept. 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)
151.
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
152.
Find the slope of the line that passes through
(1, -19) and (-2, -7)
(1, -19) and (-2, -7)
a)
-4
b)
4
c)
1/4
d)
-1/4
153.
Find the slope of the line that passes through (-9, -6) and (-9, -10)
a)
0
b)
Undefined
c)
-3
d)
-9
154.
Find the slope of the line that passes through (10, -8) and (1, 12).
a)
20/9
b)
-20/9
c)
4/9
d)
9/4
155.
What is the equation of this line?
a)
y = 2x +2
b)
y = 2x -2
c)
y = -x + 2
d)
Cannot be Determined
156.
Write the equation of the line.
a)
y = -1/3x - 2
b)
y = 1/3x - 2
c)
y = 3x - 2
d)
y = -3x - 2
157.
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
158.
Graph x+y=3
a)
A
b)
B
c)
C
d)
D
159.
The graph of a linear function is always straight?
a)
true
b)
false
160.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
macaroni
d)
nothing
161.
What is the slope of the line represented by the equation y = 7 - x?
a)
7
b)
0
c)
1
d)
-1
162.
What is 'b' in this linear equation? y= 5x - 6
a)
6
b)
5
c)
y
d)
-6
163.
What is the equation by looking at this graph?
a)
y= x + 3
b)
y= -x + 2
c)
y= 2x + 2
d)
y= x + 2
164.
What is given when your graph is horizontal?
a)
y
b)
x
165.
What is given when you have a vertical line on your graph?
a)
x
b)
y
166.
whats the slope of the function y=2/3x+6
a)
2/3
b)
3/2
c)
6
d)
-4
167.
Find the slope:
(-1,-9) and (5, -6)
(-1,-9) and (5, -6)
a)
-15/4
b)
1/2
c)
-3/6
d)
11/3
168.
Find the slope:
(8,5) and (-9, 5)
(8,5) and (-9, 5)
a)
Zero
b)
Undefined
c)
-10/17
d)
-10/1
169.
What is the y-intercept in the equation y= -2x + 5
a)
-2
b)
3
c)
5
d)
Cannot be Determined
170.
What is the slope of the table?
a)
-3/5
b)
-5/3
c)
3/5
d)
5/3
171.
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
172.
a)
Function
b)
Not a Function
173.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
174.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
175.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
176.
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.
177.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
178.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
179.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
180.
Is this table a function or not a function?
a)
Function
b)
Not a Function
181.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
182.
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)
183.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
184.
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}
R: {0, 1, 2, -4}
b)
D:{0, 1, 2, -4}
R:{1, -3, -4}
R:{1, -3, -4}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
R:{1, -3, -4}
185.
Which ordered pair could you add to the following list of points to create a function? (3, 5) (4, 9) (2, 5)
a)
(3, 7)
b)
(4, 1)
c)
(1, 9)
d)
(2, 6)
186.
Does the table represent a function?
a)
Yes, there is a repeated x-value.
b)
No, there aren't any repeated y-values.
c)
Yes, there are repeated y-values.
d)
No, there is a repeated x-value.
187.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
188.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
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