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Worksheets8th Grade Math Review
Total questions: 100
Worksheet time: 2hrs 18mins
Name
Class
Date
1.
Solve 3x - 7 = 32
a)
13
b)
-13
c)
12
d)
-12
2.
Solve -5t + 9 = 24
a)
-3
b)
3
c)
12
3.
Solve -3x + 5 = -16
a)
9
b)
8
c)
-7
d)
7
4.
The objective when solving an equation is to....
a)
isolate the variable.
b)
check the solution.
c)
guess and check.
d)
Combine Like Terms.
5.
Solve 8 - 2x = 30
a)
-11
b)
11
c)
-12
d)
12
6.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
7.
Solve the equation below:
a)
k = 152
b)
k = 176
c)
k = 5
d)
k = 27
8.
What is the inverse operation needed to solve for p?
765 = p - 254
765 = p - 254
a)
subtraction
b)
addition
c)
multiplication
d)
division
9.
WRITE AN EQUATION
331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?
331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?
a)
331=7x+6
b)
331=13x
c)
331=6x+7
d)
331-7=6x
10.
WRITE AN EQUATION
Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?
Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?
a)
24-10=7x
b)
24-7x=10
c)
10+7x=24
d)
10+x=14
11.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
12.
solve for c
a)
7
b)
9
c)
4
d)
13
13.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
14.
A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?
a)
210 m
b)
180 m
c)
150 m
d)
79 m
15.
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
16.
What is the length of the missing side?
a)
x = 4
b)
x = 8
c)
x = 10
d)
x = 16
17.
Which equation reflects the right triangle shown?
a)
x2 + 142 = 202
b)
142 + 202 = x2
c)
142 – 202 = x2
d)
x2 – 142 = 202
18.
The area of a square is 117 square meters. Which best represents the length of a side of the square?
a)
10.8 m
b)
11 m
c)
10 m
d)
11.2 m
19.
Mr. Cleaves wrote four irrational numbers on the SMART board and asked Saul to choose the number closest to 4. Which irrational number should Saul choose?
a)
√8
b)
√17
c)
√12
d)
√10
20.
Estimate √50. Round your answer to the nearest Whole Number.
a)
5
b)
10
c)
25
d)
7
21.
What do we call √ ?
a)
radicand
b)
radical symbol
c)
cube root
d)
index
22.
112 =
a)
22
b)
44
c)
144
d)
121
23.
Which would be the next number in the pattern?
36, 49, 64, 81 __
36, 49, 64, 81 __
a)
82
b)
18
c)
64
d)
100
24.
Is function represented by the table linear or nonlinear?
a)
linear
b)
nonlinear
25.
Is function represented by the table linear or nonlinear?
a)
linear
b)
nonlinear
26.
Linear of Non-linear?
a)
Linear
b)
Nonlinear
27.
Which graph depicts a nonlinear function?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
28.
Is the equation linear or nonlinear?
a)
Linear
b)
Nonlinear
29.
Find the rate of change
a)
1
b)
2
c)
11
d)
Not a constant slope/Non-Linear
30.
Is this function linear or nonlinear?
a)
Linear
b)
Nonlinear
31.
What does the "b" stand for in y=mx+b?
a)
slope
b)
x-intercept
c)
y-intercept
32.
What is the equation for the line that passes through the points (4,2) and (0,6)?
a)
y = x + 6
b)
y = -2x + 2
c)
y = -x - 6
d)
y = -x + 6
33.
What letter represents the slope of a line in the equation y = mx + b?
a)
y
b)
m
c)
x
d)
b
34.
What is the equation for the line with a slope of 7 and passes through (0,1)?
a)
y = -7x + 1
b)
y = 7x + 1
c)
y = -1/7x - 1
d)
y = -1/7x + 1
35.
Give the equation for the graph
a)
y = 5x - 3
b)
y = 4x + 2
c)
y =-2x + 5
d)
y = - 2x + 4
36.
Given the equation y = 2x+3, what is the slope?
a)
2
b)
x
c)
3
d)
IDK
37.
What is the equation of this line?
a)
0
b)
undefined
c)
y = -2
d)
x = -2
38.
What is the equation of the line that has a slope of 5 and goes through the point (2,7)?
a)
y = 5x + 3
b)
y = 1/5x - 3
c)
y = 1/5x + 3
d)
y = 5x - 3
39.
What is the equation of the line in the graph?
a)
y = 3
b)
x = 3
c)
x = 0
40.
Graph. y = 2/3x - 3
a)
a
b)
b
c)
c
d)
d
41.
Graph. y = -4
a)
a
b)
b
c)
c
d)
d
42.
Graph. x = 1
a)
a
b)
b
c)
c
d)
d
43.
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
44.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
45.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
46.
What is the y-intercept for the given graph?
a)
(0,-5)
b)
(0,5)
c)
(0,1)
d)
(0,-1)
47.
What is the y-intercept?
a)
7
b)
0
c)
1
d)
2
48.
Find the value of y when x = 2.
a)
2
b)
6
c)
7
d)
8
49.
Find slope:
a)
m= 4
b)
m=1/4
c)
m=-4
d)
m=-1/4
50.
a)
Function
b)
Not a Function
51.
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
52.
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.
53.
a)
Function
b)
Not a Function
54.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
55.
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)
56.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
57.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
58.
Give the domain and range. Tell if it is a function.
a)
D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Function
R: {-2, -2, 1, 1}
Function
b)
D: {-4, -2, 0, 2}
R: {-2, 1}
Function
R: {-2, 1}
Function
c)
D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Not a Function
R: {-2, -2, 1, 1}
Not a Function
d)
D: {-4, -2, 0, 2}
R: {-2, 1}
Not a Function
R: {-2, 1}
Not a Function
59.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
60.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
61.
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)
62.
Reflect the point (-1, 2) over the y-axis.
a)
(-1, -2)
b)
(1, 2)
c)
(1, -2)
d)
(1, 4)
63.
Translate the point A (-3, 4) right 5 and up 1
a)
(-2, 9)
b)
(-8, 5)
c)
(8, 3)
d)
(2, 5)
64.
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
65.
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)
66.
When you translate, (x-4,y) will move _____.
a)
4 units right
b)
4 units left
c)
4 units up
d)
4 units down
67.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary
68.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the y-axis
c)
Reflection across the x-axis
d)
90o counter clockwise Rotation
69.
Reflections over the x-axis change the ____-__________.
a)
y-coordinate
b)
x-coordinate
70.
What is the measurement of y?
a)
100
b)
257
c)
103
71.
Solve for x
a)
20
b)
25
c)
120
d)
180
72.
Solve for x
a)
5
b)
90
c)
25
d)
10
73.
Solve for x
a)
6
b)
140
c)
20
d)
90
74.
Solve for angle 5
a)
50
b)
55
c)
45
d)
60
75.
Solve for angle 7
a)
60
b)
50
c)
125
d)
55
76.
Angles 5 and 6 are what type of angles?
a)
Supplementary
b)
Complementary
c)
Vertical
d)
Obtuse
77.
Angles 4 and 6 are what type of angles?
a)
Supplementary
b)
Complementary
c)
Vertical
d)
Acute
78.
Angles 1 and 2 are what type of angles?
a)
Supplementary
b)
Complementary
c)
Vertical
d)
Obtuse
79.
Tell whether the angles are complementary or supplementary. Then find the value of x.
a)
Complementary; x=25
b)
Complementary; x=5
c)
Supplementary; x=25
d)
Supplementary; x=5
80.
Which equation could you use to solve for the value of x?
a)
3x + 10 − 2x = 180
b)
3x + 10 = 180
c)
3x + 10 + 2x = 180
d)
3x + 10 = 2x
81.
Which equation can be used to determine the value of x?
a)
2x + 10 = 46
b)
2x + 10 + 46 = 180
c)
2x + 10 + 46 = 90
d)
not here
82.
What is the measure of angle HJL?
a)
18 degrees
b)
68 degrees
c)
72 degrees
d)
112 degrees
83.
Which number is correctly written in scientific notation?
a)
5.67 x 105
b)
56.7 x 103
c)
0.567 x 106
84.
Write in standard form:
8 x 104
8 x 104
a)
8,000
b)
80,000
c)
.00008
85.
Write in standard form:
6.254 x 106
6.254 x 106
a)
6,254,000
b)
6,254,000,000
c)
625,400
86.
Write in standard form:
7.3003 x 10-5
7.3003 x 10-5
a)
.000073003
b)
.0000073003
c)
730,030
87.
Write in scientific notation:
0.0000378
0.0000378
a)
3.78 x 10-5
b)
3.78 x 10-6
c)
0.378 x 10-5
88.
Write in scientific notation:
540,020,000
540,020,000
a)
5.4002 x 108
b)
5.4 x 108
c)
5.4002 x 104
89.
Add.
(4.5 x 108) + (2.67 x 108)
(4.5 x 108) + (2.67 x 108)
a)
7.17 x 101
b)
7.17 x 108
c)
1.83 x 108
90.
Add.
(8.31 x 107) + (1.01 x 104)
(8.31 x 107) + (1.01 x 104)
a)
8.30899 x 107
b)
8.31101 x 103
c)
8.31101 x 107
91.
Divide:
(6.9 x 107) / (2.3 x 10-3)
(6.9 x 107) / (2.3 x 10-3)
a)
3 x 1010
b)
3 x 104
c)
3 x 10-4
d)
3 x 10-11
92.
Multiply:
(3.4 x 105)(1.2 x 10-3)
(3.4 x 105)(1.2 x 10-3)
a)
4.08 x 10-8
b)
4.8 x 102
c)
4.08 x 102
d)
4.08 x 10-15
93.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
94.
According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d2)5
Example: (d2)5
a)
add
b)
subtract
c)
multiply
d)
divide
95.
According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c6 ⋅ c4
Example: c6 ⋅ c4
a)
add
b)
subtract
c)
multiply
d)
divide
96.
According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h8 / h3
Example: h8 / h3
a)
add
b)
subtract
c)
multiply
d)
divide
97.
(-2)³⋅(-2)⁶
a)
(-2)⁹
b)
(-2)¹⁸
c)
(-2)⁻³
d)
(-2)
98.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
99.
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵
100.
(-3x4)3
a)
-3x343
b)
-33x12
c)
33x12
d)
-3x12
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