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WorksheetsPre-Algebra Fall 2017 Semester Test Review
Total questions: 95
Worksheet time: 4hrs 0mins
Name
Class
Date
1.
Is the following number rational or irrational?
7
7
a)
Rational
b)
Irrational
2.
Is the following number rational or irrational?
√5
√5
a)
Rational
b)
Irrational
3.
Is the following number rational or irrational?
√16
√16
a)
Rational
b)
Irrational
4.
Is the following number rational or irrational?
100/89
100/89
a)
Rational
b)
Irrational
5.
Is the following number rational or irrational?
.737293787920917...
.737293787920917...
a)
Rational
b)
Irrational
6.
Is the following number rational or irrational?
4,578
4,578
a)
Rational
b)
Irrational
7.
Is the following number rational or irrational?
√121
√121
a)
Rational
b)
Irrational
8.
Is the following number rational or irrational?
√122
√122
a)
Rational
b)
Irrational
9.
Is the following number rational or irrational?
-.87527974221231...
-.87527974221231...
a)
Rational
b)
Irrational
10.
The square root of 57 is ...
a)
rational
b)
irrational
11.
Which number is a rational number?
a)
2.25
b)
-8.78654684598.....
c)
Square root of 99
d)
3.14...
12.
The square root of 36 is ...
a)
rational
b)
irrational
13.
The square root of 2 is an irrational number because...
a)
All square roots are irrational
b)
The answer is a decimal that never stops
c)
Two is an even number
d)
The answer is 1
14.
What is a square root
a)
A number to the second power
b)
A square that has roots on it
c)
A number divided by 2
d)
Square roots are numbers that produce a specified quantity when multiplied by itself
15.
Approximate the square root.
a)
7
b)
8
c)
9
d)
10
16.
The √40 is between which two consecutive whole numbers?
a)
7 & 8
b)
4 & 5
c)
5 & 6
d)
6 & 7
17.
Estimate the square root.
a)
4.2
b)
4
c)
4.6
d)
5
18.
Between which two consecutive whole numbers is the square root of 277?
a)
15 and 16
b)
16 and 17
c)
18 and 19
d)
14 and 15
19.
Simplify:
√48
a)
4√2
b)
6√3
c)
4√3
d)
4√2
20.
Simplify:
√96
√96
a)
4√6
b)
3√6
c)
6√5
d)
6√8
21.
Simplify.
a)
A
b)
B
c)
C
d)
D
22.
Simplify:
4√75
a)
4√5
b)
12√5
c)
20√3
d)
7√3
23.
Simplify
a)
A
b)
B
c)
C
d)
D
24.
Simplify:
√24
√24
a)
2√6
b)
4√6
c)
2√12
d)
3√8
25.
Simplify:
√40
√40
a)
4√10
b)
10√4
c)
2√10
d)
10√2
26.
Simplify.
a)
A
b)
B
c)
C
d)
D
27.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
28.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
29.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
30.
Find the missing side
a)
9
b)
41
c)
6.4
d)
3
31.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
32.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
33.
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
34.
Simplify (7a2)(5a6b)2
a)
35a14b2
b)
175a12b2
c)
175a14b2
d)
35a14b
35.
(54)(56)
a)
510
b)
524
c)
2524
d)
2510
36.
(103)6
a)
1018
b)
306
c)
109
d)
303
37.
The length of a rectangle is 4a4b5 and the width is 3a2b3, what is the expression that represents the area of the rectangle?
a)
12a6b8
b)
7a6b8
c)
12a8b15
d)
1a2b2
38.
Simplify m12/ m3
a)
m12-3 = m9
b)
m12/3 = m4
c)
m-9
d)
-m9
39.
According to exponent rules, when we multiply the same base, we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
40.
(52c3)5
a)
105c5
b)
57c8
c)
510c15
d)
510/c15
41.
(9⁸)²⋅9⁴
a)
9²⁰
b)
9¹⁴
c)
9²⁴
d)
9²³
42.
x3y/xy5
a)
x2y4
b)
x3y4
c)
x2/y4
d)
x2/y5
43.
Evaluate the expression using the Same Base, Division rule.
a)
214 z13
b)
22/z7
c)
214/ z7
d)
22 z7
44.
a)
-6c5
b)
-6c
c)
6c
d)
-6c6
45.
The Quotient Property states that you can combine like factors by division: The base stays the same and you ____________________ the exponents
a)
Subtract
b)
Add
c)
Multiply
d)
Divide
46.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
47.
Simplify
(2a2b4z)(6a3b2z5)
(2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
12a5b6z6
d)
8a6b8z5
48.
According to exponent rules, when we have a power times a power we ____________ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
49.
Simplify:
a)
A
b)
B
c)
C
d)
D
50.
How would you write 4.3756 x 104 in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
51.
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
52.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
53.
Scientific Notation is made up of two number parts. The first part should be a number between 1 and 100.
a)
True
b)
False
54.
Scientific Notation is made up of two number parts. The second part is a power of base 10.
a)
True
b)
False
55.
When writing a number in scientific notation, the first number must be greater than 1, but less than 10.
a)
False
b)
True
56.
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
57.
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
58.
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
59.
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
60.
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
61.
Convert to standard notation:
3.05 x 105
3.05 x 105
a)
305,000
b)
305
c)
3,050,000
d)
30,500
62.
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
63.
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
64.
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
65.
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
66.
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
67.
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
68.
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
69.
What is the simplified version of
a)
3.9 x 106
b)
4 x 1020
c)
4 x 106
d)
3.9 x 1020
70.
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
71.
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
72.
Which is the smallest?
1.3 x 1020
2.9 x 1021
9.5 x 1032
8.4 x 1019
1.3 x 1020
2.9 x 1021
9.5 x 1032
8.4 x 1019
a)
1.3 x 1020
b)
2.9 x 1021
c)
9.5 x 1032
d)
8.4 x 1019
73.
Which is the largest?
4.8 x 10-6
1.3 x 1020
3.1 x 10-4
9.2 x 10-5
9.5 x 1032
5.9 x 10-5
2.9 x 1021
8.4 x 1019
4.8 x 10-6
1.3 x 1020
3.1 x 10-4
9.2 x 10-5
9.5 x 1032
5.9 x 10-5
2.9 x 1021
8.4 x 1019
a)
9.5 x 1032
b)
3.1 x 10-4
c)
8.4 x 1019
d)
4.8 x 10-6
74.
The Statue of Liberty weighs 450,000 pounds. What is this number written in scientific notation?
a)
4.5 x 10-5
b)
45 x 10-4
c)
45 x 104
d)
4.5 x 105
75.
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
76.
Solve:
-4x = 24
-4x = 24
a)
20
b)
-20
c)
6
d)
-6
77.
Solve:
3x + 7 = -8
3x + 7 = -8
a)
5
b)
-5
c)
-12
d)
-18
78.
Solve:
7x - 3x - 8 = 24
7x - 3x - 8 = 24
a)
8
b)
-8
c)
3.2
d)
4
79.
Solve:
-8 + 5x - 2 = 20
-8 + 5x - 2 = 20
a)
6
b)
-6
c)
2
d)
-2
80.
Solve:
3(x - 2) = 18
3(x - 2) = 18
a)
6.7
b)
4
c)
8
d)
-4
81.
Solve:
6(5x - 3) + 2 = 14
6(5x - 3) + 2 = 14
a)
2
b)
.5
c)
-1
d)
1
82.
Solve:
7x + 19 = -2x + 55
7x + 19 = -2x + 55
a)
4
b)
14.8
c)
8.2
d)
-4
83.
Solve:
2(2x + 3) = -6(x + 9)
2(2x + 3) = -6(x + 9)
a)
1.2
b)
6
c)
-6
d)
7.5
84.
Solve:
32 - 7x = -6(x + 3)
32 - 7x = -6(x + 3)
a)
50
b)
3
c)
-3
d)
-50
85.
Solve:
2(a + 4) = 2a - 8 + 4a
2(a + 4) = 2a - 8 + 4a
a)
3
b)
-3
c)
-4
d)
4
86.
Solve x -2 = -1
a)
-1
b)
1
c)
3
d)
-3
87.
Solve: 3(x-4) = -3
a)
3
b)
-3
c)
5
d)
-5
88.
Solve the following equation for n:
8 + n = 16
8 + n = 16
a)
n=24
b)
n=6
c)
n=2
d)
n=8
89.
Solve the following equation for n:
8n = 16
8n = 16
a)
n=24
b)
n=6
c)
n=2
d)
n=8
90.
h/3=7
a)
10
b)
4
c)
21
d)
2.33
91.
2x + 3(5x - 7) = 47
a)
1
b)
2
c)
3
d)
4
92.
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
93.
What is this person's name?
a)
Dakota
b)
Samuel
c)
Lincoln
d)
Isaac
94.
What is the baby's name?
a)
Dakota
b)
Samuel
c)
Lincoln
d)
Isaac
95.
If Mrs. Ricketts could travel anywhere for vacation where would she go?
a)
Paris, France
b)
Disney World
c)
Spain
d)
Rome, Italy
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