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WorksheetsMath 8 Unit 1-7 Review
Total questions: 160
Worksheet time: 4hrs 5mins
Name
Class
Date
1.
√100
a)
15
b)
10
c)
11
d)
12
2.
√16
a)
4
b)
8
c)
2
d)
9
3.
√121
a)
12
b)
10
c)
11
d)
3
4.
What is the cube root of 27?
a)
9
b)
3
c)
-3
d)
-9
5.
Find the AREA of this figure.
a)
20 square feet
b)
20 cm
c)
25 square cm
d)
20 cm sq.
6.
The volume of a cube is 1,000 cm3. What is the length of each side of the cube?
a)
1
b)
10
c)
100
d)
300
7.
What is the cube root of 125?
a)
5
b)
-5
c)
25
d)
-25
8.
Solve each equation for x:
a)
4
b)
4 and -4
c)
16 and -16
d)
16
9.
Solve each equation for x:
a)
9
b)
3
c)
6
d)
12
10.
Estimate the square root.
a)
4
b)
5
c)
6
d)
7
11.
Estimate the square root.
a)
3
b)
4
c)
5
d)
6
12.
Estimate the square root.
a)
9
b)
10
c)
11
d)
12
13.
Estimate the square root.
a)
7
b)
8
c)
9
d)
10
14.
True or false? 9² is 18
a)
True
b)
False
15.
The following numbers are displayed below.
√81 and 9
Which value is greater?
√81 and 9
Which value is greater?
a)
they are equivalent
b)
√81
c)
9
d)
can't be determine
16.
What is the length of a side of a square with and area of 25 square feet?
a)
12.5 feet
b)
10 feet
c)
5 feet
d)
6 feet
17.
Which of the following is a perfect square?
a)
24
b)
48
c)
81
d)
110
18.
Pi (3.14...) is:
a)
Rational
b)
Irrational
19.
Which of the following is NOT a perfect square?
a)
9
b)
10
c)
25
d)
16
20.
What is the inverse of "squaring" a number?
a)
Division
b)
Cube Root
c)
Square Root
d)
Multiplication
21.
The area of a square painting is 81 cm2. What is the side length of the painting?
a)
40.5 cm
b)
162 cm
c)
6,561 cm
d)
9 cm
22.
CHALLENGE
√9 × √100
√9 × √100
a)
30
b)
-200
c)
900
d)
90
23.
∛1
a)
1
b)
3
c)
4
d)
2
24.
√-25
a)
5
b)
-5
c)
±5
d)
None
25.
Classify the Number: -23
a)
Rational
b)
Real, rational, integer
c)
integer
d)
Real, irrational, whole
26.
Classify 3
a)
Natural, Whole, Integer, Rational
b)
Whole, Rational
c)
Integer
d)
Rational
27.
Classify the Number: 120
a)
Counting, whole, integers rational, real
b)
Irrational, real
c)
whole
d)
Whole, counting
28.
How would 5/9 be classified?
a)
rational and real
b)
whole and integer
c)
only real
d)
only irrational
29.
-14 could NOT be which type of number?
a)
Integer
b)
Real
c)
Rational
d)
Natural
30.
Classify 0
a)
Whole
b)
Integer
c)
Rational
d)
All of the above
31.
Convert 3/4 to a decimal.
a)
.34
b)
.60
c)
.43
d)
.75
32.
What is 4/7 as a decimal?
a)
4.7
b)
.57
c)
7.4
d)
5.7
33.
Convert 4/5 to a decimal
a)
.45
b)
.80
c)
.40
d)
.54
34.
12/20
a)
.6
b)
.5
c)
.55
d)
.12
35.
What is 78/1000 as a decimal?
a)
0.78
b)
0.078
c)
7.8
d)
0.0078
36.
Rewrite 6/11 as a decimal
a)
0.05454...
b)
5.45454...
c)
0.545454...
d)
1.83333...
37.
Rewrite 18/7 as a decimal. Round your answer to the nearest thousandth.
a)
2.571
b)
0.571
c)
2.0571
d)
0.389
38.
Convert 3/8 to a decimal.
a)
2.67
b)
0.375
c)
0.267
d)
3.75
39.
Convert 10/3 into a decimal.
a)
33.3333
b)
3.3333
c)
333.3333
d)
0.3333
40.
What is 1/3, rounded to the nearest hundredth, in decimal form?
a)
0.3
b)
0.33
c)
0.34
d)
0.32
41.
Convert 7/8 to a decimal.
a)
7.8
b)
8.7
c)
.875
d)
.87
42.
Convert 2/5 to a decimal
a)
.4
b)
.25
c)
2.5
d)
.6
43.
Convert 3/ 7 into a decimal.
a)
4.3
b)
0.43
c)
43.0
d)
0.043
44.
Convert 9/10 into a decimal.
a)
9
b)
0.9
c)
0.009
d)
0.99
45.
Convert - 5 ⅙ to a decimal through long division.
a)
-0.1666.....
b)
-1.666....
c)
5.1666...
d)
-5.1666...
46.
Convert 869∕100000 into a decimal.
a)
0.00869
b)
0.869
c)
0.0869
d)
0.00000869
47.
Convert 0.35 into a fraction and simplify.
a)
35/10
b)
7∕20
c)
5/20
d)
.35/100
48.
Convert 0.15 into a fraction and simplify.
a)
3/20
b)
.15/100
c)
15/20
d)
1/100
49.
Convert -0.46 into a fraction and simplify.
a)
-0.46/100
b)
23/50
c)
-23/50
d)
0.46/100
50.
Convert 0.008 into a fraction and simplify.
a)
8/100
b)
8/10
c)
8/125
d)
1/125
51.
Convert 9/10 into a decimal.
a)
9
b)
0.9
c)
0.009
d)
0.99
52.
Convert 0.25 into a fraction and simplify.
a)
5/20
b)
1/4
c)
4/50
d)
1/5
53.
Convert 0.089 into a fraction and simplify.
a)
0.089/1000
b)
89/100
c)
89/10000
d)
89/1000
54.
Convert 2 3/4 into a decimal.
a)
2.75
b)
3
c)
2.25
d)
2.50
55.
a)
1/2
b)
1/10
c)
1/100
d)
1/9
56.
a)
3/10
b)
1/3
c)
1/9
d)
30/99
57.
a)
77/25
b)
77/250
c)
308/9
d)
308/999
58.
a)
2 23/100
b)
2 23/10
c)
2 23/9
d)
2 23/99
59.
a)
24/99
b)
2 4/9
c)
2 2/5
d)
6/25
60.
a)
2/3
b)
-2/3
c)
3/5
d)
-3/5
61.
a)
7/50
b)
14/9
c)
7/45
d)
14/99
62.
Negative Exponent Law states: you must change the exponent to a positive by doing what?
a)
just change it to positive
b)
move to the bottom of fraction bar
c)
move it to the opposite side of fraction bar
63.
According to exponent rules, when we multiply the same base we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
64.
According to exponent rules, when we divide the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
65.
Which number is the BASE?
23 = 8
23 = 8
a)
2
b)
3
c)
8
66.
Which is greater, 26540 or 50?
a)
26540
b)
50
c)
They are the same
d)
Zero is greater
67.
What is the number in a power that tells how many times the base is used as a factor?
a)
Expression
b)
Exponent
c)
Factor
d)
Term
68.
Power to a Power Law states: keep the base the same and do this to the exponents.
a)
multiply
b)
add
c)
subtract
d)
divide
69.
Zero Exponent Law states anything to the zero power (except 0) is ___.
a)
zero
b)
the base
c)
squared
d)
one
70.
a)
A
b)
B
c)
C
d)
D
71.
a)
A
b)
B
c)
C
d)
D
72.
a)
A
b)
B
c)
C
d)
D
73.
a)
A
b)
B
c)
C
d)
D
74.
a)
A
b)
B
c)
C
d)
D
75.
a)
A
b)
B
c)
C
d)
D
76.
a)
A
b)
B
c)
C
d)
D
77.
a)
A
b)
B
c)
C
d)
D
78.
a)
A
b)
B
c)
C
d)
D
79.
a)
A
b)
B
c)
C
d)
D
80.
a)
A
b)
B
c)
C
d)
D
81.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
82.
33 • 33
a)
36
b)
99
c)
27•27
d)
186
83.
n9 • n7 • n3
a)
n973
b)
n189
c)
n19
d)
n20
84.
3x3y * 2x8y5
a)
5x11y6
b)
6x11y6
c)
6x24y5
d)
3x112y5
85.
How would you write 4.3756 x 104 in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
86.
How would you write 0.0005 in scientific notation?
a)
50 x 105
b)
5 x 104
c)
5 x 103
d)
.5 x 103
87.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
88.
Scientific Notation is made up of two number parts. The first part should be a number between 1 and 100.
a)
True
b)
False
89.
Scientific Notation is made up of two number parts. The second part is a power of base 10.
a)
True
b)
False
90.
When writing a number in scientific notation, the first number must be greater than 1, but less than 10.
a)
False
b)
True
91.
The rule of scientific notation is to write all exponents with a base of ____.
a)
50
b)
5
c)
100
d)
10
92.
How do you write
1001
in scientific notation?
1001
in scientific notation?
a)
1.0001 x 104
b)
1.01 x 105
c)
1.001 x 103
d)
10.1 x 103
93.
How do you write
8.317 x 106
in standard form?
8.317 x 106
in standard form?
a)
8, 371, 000
b)
83, 170, 000
c)
837, 100
d)
8, 317, 000
94.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
95.
Express the following in scientific notation:
.000457
.000457
a)
457 x 106
b)
457 x 10-6
c)
4.57 x104
d)
4.57 x 10-4
96.
Express the following in standard notation:
8.025 x 10-8
8.025 x 10-8
a)
.00000008025
b)
.000000008025
c)
802,500,000,000
d)
80,250,000,000
97.
What is scientific notation?
a)
A long way to write really short numbers
b)
A short way to write really long numbers
c)
I don't know...
d)
None of the above
98.
UNDERSTANDING
If the exponent is a positive number...
If the exponent is a positive number...
a)
you will get a large number
b)
you will get a smaller number
99.
UNDERSTANDING
If the exponent is a negative number...
If the exponent is a negative number...
a)
you will get a large number
b)
you will get a small number
100.
How many zeros would be in this number if written in standard form?
6.47 x 1011
6.47 x 1011
a)
11
b)
9
c)
10
d)
12
101.
What is the first step (after setting up your workspace) in solving this equation:
5x + 7 = 12
5x + 7 = 12
a)
Divide by 5
b)
Subtract 5
c)
Multiply by 7
d)
Subtract 7
102.
What is the first step (after setting up your workspace) to complete when solving this equation?
10 - 3y = 4
10 - 3y = 4
a)
Add 10
b)
Subtract 10
c)
Add 3
d)
Divide by -3
103.
Solve for x:
8x - 10 = -34
8x - 10 = -34
a)
4
b)
3
c)
-3
d)
-24
104.
Solve for w:
-6w + 1 = -11
-6w + 1 = -11
a)
2
b)
1.2
c)
12
d)
-2
105.
**
a)
8
b)
-7
c)
-8
d)
4
106.
*
a)
6
b)
5
c)
-5
d)
6
107.
Solve: 3(x-4) = -3
a)
3
b)
-3
c)
5
d)
-5
108.
Solve for "x" ?
x-12=14
x-12=14
a)
24
b)
26
c)
2
d)
16
109.
Solve for " x" ?
4x-6=30
4x-6=30
a)
9
b)
13
c)
36
d)
4
110.
Solve the following equation for n:
8n = 16
8n = 16
a)
n=24
b)
n=6
c)
n=2
d)
n=8
111.
Solve the following equation for n:
8 + n = 16
8 + n = 16
a)
n=24
b)
n=6
c)
n=2
d)
n=8
112.
h/3=7
a)
10
b)
4
c)
21
d)
2.33
113.
2x - 3 + 4x = 27
a)
12
b)
4
c)
5
d)
15
114.
2x + 3(5x - 7) = 47
a)
1
b)
2
c)
3
d)
4
115.
Which equation has a solution of 24?
a)
-48 + 12 + x = -12
b)
-14 + 12 + x = -12
c)
-31x - 41x = -48
d)
-46x + 48x = 12
116.
-11 + 3(b + 5) = 7
a)
1
b)
-1
c)
3
d)
-3
117.
-(n - 8) = -2
a)
6
b)
10
c)
-10
d)
-6
118.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4
119.
Find the Error
What error did the student make when solving the equation:
1/5x + 6 = 3/5x + 5
1x + 6 = 3x + 5
-2x + 6 = 5
-2x = -1
x = 1/2
What error did the student make when solving the equation:
1/5x + 6 = 3/5x + 5
1x + 6 = 3x + 5
-2x + 6 = 5
-2x = -1
x = 1/2
a)
The student found an incorrect common denominator
b)
The student did not multiply all terms by the common denominator
c)
The student did not use opposite operations appropriately
d)
The student did not correctly eliminate the variable from one side of the equation
120.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
121.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Correpsonding
d)
Vertical Angles
122.
Name the angle relationship.
a)
Consecutive Interior
b)
Alternate Interior
c)
Corresponding
d)
Vertical Angles
123.
What is the measure of ∠2?
a)
38
b)
58
c)
71
d)
142
124.
What type of angle pair is ∠1 and ∠3?
a)
alternate interior angles
b)
supplementary angles
c)
corresponding angles
d)
vertical angles
125.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
126.
Name the corresponding angle to angle 4.
a)
angle 8
b)
angle 6
c)
angle 2
d)
angle 5
127.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
128.
Find D
a)
∠D=116°
b)
∠D=64°
c)
∠D=180°
d)
∠D=26°
129.
Find C
a)
∠C=116°
b)
∠C=64°
c)
∠C=180°
d)
∠C=26°
130.
Find L
a)
∠L=51°
b)
∠L=129°
c)
∠L=180°
d)
∠L=39°
131.
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
132.
The supplement of an angle is 65 °. What is the measure of the angle?
a)
25°
b)
15°
c)
115°
d)
35°
133.
If angle ∠ABD is 67°. What is ∠DBC?
a)
180°
b)
90°
c)
67°
d)
23°
134.
Which equation can be used to solve the word problem: the diagonal of a t.v. is 40 inches and the height is 30. How wide is the t.v.?
a)
302 + 402 = c2
b)
a2 + 402 = 302
c)
302 + b2 = 402
d)
402 + 302 = c2
135.
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
136.
What is the formula for finding the hypotenuse?
a)
a2+b2=c2
b)
a+b=c
c)
a-b=c
d)
c-a=c
137.
a)
9.2 in
b)
11 in
c)
13 in
d)
9.6 in
138.
The legs form what type of angle?
a)
Acute
b)
Obtuse
c)
Reflex
d)
Right
139.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
140.
a)
The top of the ladder is 8.9 ft from the ground
b)
The top of the ladder is 9.2 ft from the ground
c)
The top of the ladder is 16.5 ft from the ground
d)
The top o the ladder is 14.4 ft from the ground
141.
a)
The diagonal is 26 ft
b)
The diagonal is 31 ft
c)
The diagonal is 21.8 ft
d)
The diagonal is 20.9 ft
142.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
143.
Find the length of the missing side.
a)
48 in.
b)
52 in.
c)
16 in.
d)
24 in.
144.
what is the missing length?
a)
50
b)
60
c)
70
d)
80
145.
Solve for the walkway length
a)
30
b)
40
c)
58
d)
35
146.
a = 2.1, b = 7.2, c = 7.5
Is this a right triangle?
Is this a right triangle?
a)
yes
b)
no
147.
Is this triangle a right triangle? (Picture not drawn to scale)
a)
yes
b)
no
148.
a)
The diagonal is 15.59 cm
b)
The diagonal is 20.12 cm
c)
The diagonal is 21.43 cm
d)
The diagonal is 15.31 cm
149.
If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?
a)
6
b)
6.7
c)
3
d)
15.7
e)
None of them
150.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
151.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
152.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
153.
What is the opposite of squaring a number?
a)
divide
b)
multiply
c)
fractions
d)
square root
154.
Side a on a right triangle is ALWAYS the longest side.
a)
true
b)
false
155.
You ADD a2 and c2 then take the square root of that SUM to find b on a right triangle.
a)
true
b)
false
156.
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
157.
The size of a television screen is measured by the length of the diagonal of the screen. What size is a television screen that is 3 feet tall and 6 feet wide?
a)
18
b)
6.7
158.
Find the perimeter of a triangle that has legs that are 3 cm and 4 cm.
a)
5
b)
7
c)
10
d)
12
159.
John leaves school to go home. He walks 6 blocks North and then 8 blocks west. How far is John from the school?
a)
14 blocks
b)
12 blocks
c)
10 blocks
d)
8.5 blocks
160.
A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?
a)
111.8 yards
b)
115 yards
c)
127.3 yards
d)
119 yards
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