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Worksheets8th Finale Review Part 1
Total questions: 125
Worksheet time: 5hrs 18mins
Name
Class
Date
1.
According to exponent rules, when we multiply terms with the same base we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
2.
According to exponent rules, when we divide the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
3.
According to exponent rules, when we raise a power to another power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
4.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
5.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
6.
Evaluate the expression using the quotient rule.
a)
x13
b)
x5
c)
x36
d)
x-5
7.
Evaluate the expression using the quotient rule.
a)
34
b)
1/34
c)
3-12
d)
332
8.
a)
a8b13
b)
a2b7
c)
a15b30
9.
Which expression is equivalent to the given?
a)
b)
c)
d)
10.
Which expression is equivalent to the given?
a)
b)
c)
d)
11.
Simplify the following:
(x2y)5
(x2y)5
a)
x7y5
b)
x2y5
c)
x10y5
d)
x5y5
12.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
13.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
14.
Simplify the following expression:
xy-7
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
15.
Simplify with no negative exponents:
x-3
x-3
a)
-3x
b)
x3
c)
1/ x-3
d)
1/ x3
16.
Which expression is equivalent to the given?
a)
b)
c)
d)
17.
(2ab)3
a)
23a3b3
b)
2ab3
c)
6a3b3
d)
6ab
18.
a)
a7
b)
a10
c)
a3
d)
a-3
19.
Rewrite each expression with a negative exponent.
1/124
1/124
a)
1/12-4
b)
124
c)
1/20,736
d)
12-4
20.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
21.
Make this negative exponent positive.
9-3
9-3
a)
93
b)
1/9-3
c)
1/93
d)
729
22.
Simplify:
b2 ⋅ b4
b2 ⋅ b4
a)
b8
b)
b6
c)
b2
d)
2b6
23.
Simplify:
(x5)4
(x5)4
a)
x9
b)
x20
c)
x
d)
x54
24.
Simplify (-1/2)0
a)
1
b)
0
c)
-1
d)
-2
25.
n²⋅n⁴⋅n⁵
a)
n¹¹
b)
n⁴⁰
c)
n¹³
d)
n²²
26.
√ 64
a)
4
b)
6
c)
9
d)
8
27.
√ 81
a)
8
b)
7
c)
10
d)
9
28.
√ 36
a)
4
b)
6
c)
12
29.
What is the square root of 144?
a)
4
b)
12
c)
16
d)
32
30.
√ 16
a)
8
b)
3
c)
4
d)
6
31.
What type of number is square root of 99?
a)
rational
b)
irrational
32.
∛216
a)
6
b)
72
c)
108
d)
4
33.
∛1
a)
1
b)
3
c)
4
d)
2
34.
∛125
a)
5
b)
15
c)
10
d)
72
35.
a)
9/12
b)
3/4
c)
4/8
d)
5/4
36.
∛8 =
a)
4
b)
3
c)
2
d)
512
37.
√121
a)
12
b)
10
c)
11
d)
3
38.
52
a)
16
b)
25
c)
20
d)
10
39.
169
a)
Is a perfect square.
b)
Is not a perfect square.
40.
True or false? 9² = 18
a)
True
b)
False
41.
Is 225 a perfect square?
a)
Yes
b)
No
42.
132
a)
26
b)
196
c)
144
d)
169
43.
38=
a)
2
b)
-2
c)
±2
d)
None
44.
The number 1,000 is a...
a)
perfect square
b)
perfect cube
45.
64=
a)
32
b)
8
c)
4
d)
16
46.
364=
a)
-8
b)
8
c)
16
d)
4
47.
63 = ?
a)
196
b)
206
c)
216
d)
226
48.
Select all perfect cubes
a)
2
b)
8
c)
27
d)
64
e)
9
49.
8116 =
a)
4/9
b)
8/27
c)
8/9
d)
4/3
50.
(65)2 =
a)
25/36
b)
10/12
c)
5/6
d)
52/62
51.
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
52.
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
53.
Multiply:
(9.4 x 106)(3.2 x 105)
(9.4 x 106)(3.2 x 105)
a)
30.08 x 1011
b)
3.8 x 101
c)
3.008 x 1012
d)
2.9375 x 101
54.
Solve:
(2.1×102) × (3.0×104)
(2.1×102) × (3.0×104)
a)
5.1 x 102
b)
6.3 x 106
c)
5.1 x 106
d)
6.3 x 108
55.
Solve:
(6 x 106) / (2 x 103)
(6 x 106) / (2 x 103)
a)
12 x 103
b)
3 x 109
c)
1.2 x 104
d)
3 x 103
56.
Solve:
(9 x 10-6) / (3 x 10-3)
(9 x 10-6) / (3 x 10-3)
a)
27 x 10-9
b)
3 x 10-3
c)
3 x 10-9
d)
27 x 10-3
57.
Write the answer in scientific notation.
7.3 x 105 + 3.7 x 105 =
7.3 x 105 + 3.7 x 105 =
a)
11.0 x 105
b)
1.1 x 1010
c)
1.10 x 1011
d)
1.1 x 10 6
58.
Write the answer in scientific notation.
5 x 108 - 3.4 x 108 =
5 x 108 - 3.4 x 108 =
a)
2.4 x 108
b)
2.4 x 100
c)
1.6 x 100
d)
1.6 x 108
59.
Write the answer in scientific notation.
4.1 x 105 + 5.5 x 106 =
4.1 x 105 + 5.5 x 106 =
a)
5.91 x 106
b)
9.6 x 105
c)
9.6 x 1011
d)
4.65 x 105
60.
What is the simplified version of
a)
3.9 x 106
b)
4 x 1020
c)
4 x 106
d)
3.9 x 1020
61.
(2.3 x 102)+(4.1 x 102)=
a)
6.4 x 104
b)
6.4 x 102
c)
6.4 x 100
d)
.64 x 101
62.
(7.7 x 102) + (1.1 x 102)=
a)
8.8 x 104
b)
6.6 x 104
c)
8.8 x 102
d)
6.6 x 102
63.
Cell A=4.2 x 10-4
Cell B=2.1 x 10-5
Cell C=8.4 x 10-4
Cell C is ___ larger than cell A.
Cell B=2.1 x 10-5
Cell C=8.4 x 10-4
Cell C is ___ larger than cell A.
a)
2x
b)
20x
c)
.2x
d)
4x
64.
(2.9 x 10-9) - (1.7 x 10-9)
a)
1.2 x 10-18
b)
1.2 x 10-9
c)
4.6 x 10-9
d)
1.335 x 10-4
65.
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
66.
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
67.
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
68.
What is it called when you go from this form to this next form?
0.0088 to 8.8 x 103
0.0088 to 8.8 x 103
a)
Standard form to scientific notation
b)
Scientific notation to regular form
c)
Scientific notation to standard form
d)
Standard form to regular form
69.
Write in standard form:
8 x 104
8 x 104
a)
8,000
b)
80,000
c)
.00008
70.
How would you write 4.3756 x 104 in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
71.
Which number is correctly written in scientific notation?
a)
5.67 x 105
b)
56.7 x 103
c)
0.567 x 106
72.
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
73.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
74.
What is the standard form?
1.245 x 103
1.245 x 103
a)
0.001245
b)
12.45
c)
1245
75.
How would you write 4.3756 x 104 in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
76.
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
77.
Convert to scientific notation:
520,000,000
520,000,000
a)
52 x 107
b)
5.2 x 107
c)
5.2 x 108
d)
0.52 x 109
78.
How many solutions does the equation have
6x + 3 = 6x + 3
6x + 3 = 6x + 3
a)
One Solution
b)
No Solution
c)
Infinite Solutions
79.
How many solutions does the equation have
4p + 1 = 49 - 7
4p + 1 = 49 - 7
a)
One Solution
b)
No Solution
c)
Infinite Solutions
80.
How many solutions does the equation have
3t + 5 = 4t + 7
3t + 5 = 4t + 7
a)
One Solution
b)
No Solution
c)
Infinite Solutions
81.
How many solutions does the equation have
3c -3 = 4c - 2
3c -3 = 4c - 2
a)
One Solution
b)
No Solution
c)
Infinite Solutions
82.
How many solutions does the equation have
3x + 7 + 2x = 5x + 7
3x + 7 + 2x = 5x + 7
a)
One Solution
b)
No Solution
c)
Infinite Solutions
83.
How many solutions does the equation have
4y + 10 = 10 + 4y
4y + 10 = 10 + 4y
a)
One Solution
b)
No Solution
c)
Infinite Solutions
84.
Fill in the blank so that the following equation has NO solution.
__x + 12 = 2x - 7
__x + 12 = 2x - 7
a)
4
b)
2
c)
9
d)
7
85.
Fill in the blanks so that the following equation has ONE solution.
__x + 4 = 2x + __
__x + 4 = 2x + __
a)
4 , 3
b)
2 , 4
c)
2 , 5
86.
What is the solution to this equation?
a)
one solution
b)
no solution
c)
infinite solutions
d)
none of these
87.
What is the definition of one solution?
a)
no matter what constant is substituted in for the variable, the equation is ALWAYS true
b)
no matter what constant is substituted in for the variable, the equation will NEVER be true
c)
only this ONE solution will make the equation true
88.
What is the definition of no solution?
a)
no matter what constant is substituted in for the variable, the equation is ALWAYS true
b)
no matter what constant is substituted in for the variable, the equation will NEVER be true
c)
only this ONE solution will make the equation true
89.
What is the definition of infinite solutions?
a)
no matter what constant is substituted in for the variable, the equation is ALWAYS true
b)
no matter what constant is substituted in for the variable, the equation will NEVER be true
c)
only this ONE solution will make the equation true
90.
Solve:
2x + 1 = 2x - 1
2x + 1 = 2x - 1
a)
No Solution
b)
x = 0
c)
Infinitely Many Solutions
91.
Solve:
3x + 15 = 3(x + 5)
3x + 15 = 3(x + 5)
a)
No Solution
b)
x = 15
c)
Infinitely Many Solutions
92.
3r - 5 = 2r
a)
No solution
b)
Infinitely many solutions
c)
r = 5
93.
Is √2 Irrational?
a)
Yes
b)
No
94.
Are all numbers Irrational?
a)
Yes
b)
No
95.
Which number is an irrational number?
a)
2.5
b)
5.72314.....
c)
-17
d)
1/2
96.
The square root of 57 is ...
a)
rational
b)
irrational
97.
Given the following radical, decide if it is rational or irrational:
√121
√121
a)
Rational
b)
Irrational
98.
Given the following radical, decide if it rational or irrational:
√9/16
√9/16
a)
Rational
b)
Irrational
99.
Which number is an irrational number?
a)
-15 / 7
b)
square root of 88
c)
square root of 25
d)
0.3333....
100.
A perfect square is which type of number?
a)
Rational
b)
Irrational
101.
A non-perfect square is which type of number?
a)
Rational
b)
Irrational
102.
A whole number is which type of number?
a)
Rational
b)
Irrational
103.
What kind of number is -3?
a)
rational
b)
irrational
c)
whole
d)
natural
104.
Is 3.74 a rational number?
a)
yes
b)
no
105.
Is -5/8 a rational number?
a)
yes
b)
no
106.
A REPEATING decimal is what type of number?
a)
Rational
b)
Irrational
107.
Which number is a rational number?
a)
2.25
b)
-8.78654684598.....
c)
Square root of 99
d)
3.14...
108.
Which of the following is an irrational number?
a)
0.333
b)
8
c)
49
d)
225
109.
Which point best represents 10 on a number line?
a)
point A
b)
point B
c)
point C
d)
point D
110.
Between which two numbers does 11 lie on a number line?
a)
4 and 5
b)
5 and 6
c)
10 and 11
d)
3 and 4
111.
Which best represents the position of 8 on the number line below?
a)
Point P
b)
Point Q
c)
Point R
d)
Point S
112.
Point B could represent which of the following numbers?
a)
√24
b)
√30
c)
√35
d)
√42
113.
What numbers replace the question marks? (click to see the problem)
a)
65 and 75
b)
9 and 10
c)
10 and 11
d)
11 and 12
114.
Between which two whole numbers is the square root of 20?
a)
5 and 6
b)
10 and 2
c)
4 and 5
d)
3 and 4
115.
Which number has a square root that is between 7 and 8?
a)
48
b)
81
c)
60
d)
36
116.
Find the best estimate for √18 .
Look at the number line.
Look at the number line.
a)
4.2
b)
4.4
c)
5.1
d)
4
117.
Estimate √95 .
a)
8 14/19
b)
9 14/19
c)
10 14/19
d)
9
118.
a = 2.1, b = 7.2,
c = 7.5
Is this a right triangle?
c = 7.5
Is this a right triangle?
a)
yes
b)
no
119.
Which set of side lengths does not form a right triangle?
a)
38, 80, 90
b)
16, 63, 65
c)
36, 77, 85
d)
14, 15, 29
120.
Which set of side lengths form a right triangle?
a)
3, 4, 7
b)
33, 56, 65
c)
66, 72, 97
d)
10, 15, 25
121.
What are the 2 shorter sides of a right triangle called?
a)
Hypotenuse
b)
Pythagorean Theorem
c)
Legs
d)
Right triangle
122.
What is the formula for Pythagorean theorem?
a)
a2+b2=c2
b)
a+b=c
c)
a-b=c
d)
c-a=c
123.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
124.
Given the 3 lengths of a triangle are 6 in, 8 in and 10 in. Will this make a right triangle?
a)
yes
b)
no
125.
Is this triangle a right triangle?
a)
yes
b)
no
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