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Worksheets8th Grade Study Guide
Total questions: 113
Worksheet time: 2hrs 4mins
Name
Class
Date
1.
0.8 is a rational number
a)
True
b)
False
2.
Classify the Number: -23
a)
Rational
b)
Real, rational, integer
c)
integer
d)
Real, irrational, whole
3.
Classify 17/10
a)
Whole
b)
Rational
c)
Natural
d)
None of the above
4.
Classify √35.
a)
Rational, Integer
b)
Whole, Integer, Rational
c)
Irrational, Integer
d)
Irrational
5.
√7
a)
Rational
b)
Irrational
c)
real
d)
fake
6.
Classify this number: 2
a)
real
b)
real rational
c)
real rational integer
d)
real rational integer whole
7.
Classify this number: √10
a)
real
b)
real rational
c)
real irrational
d)
real rational integer
8.
Classify this number: ⅚
a)
real
b)
real rational
c)
real rational integer
d)
real rational integer whole
9.
Classify this number: √25
a)
real
b)
real rational
c)
real rational integer
d)
real rational integer whole
10.
1/3 as a decimal :
a)
.25
b)
.75
c)
.45
d)
.33
11.
1/2 as a decimal :
a)
.55
b)
.20
c)
.50
d)
.80
12.
2/3 as a decimal:
a)
.66
b)
.23
c)
.78
d)
.50
13.
1/4 a a decimal:
a)
.90
b)
.80
c)
.25
d)
.15
14.
1/10 as a decimal:
a)
.9
b)
.10
c)
.11
d)
.100
15.
1/8 as a decimal:
a)
.13
b)
.785
c)
.125
d)
.18
16.
a)
1/2
b)
1/10
c)
1/100
d)
1/9
17.
a)
3/10
b)
1/3
c)
1/9
d)
30/99
18.
a)
2/3
b)
-2/3
c)
3/5
d)
-3/5
19.
a)
7/50
b)
14/9
c)
7/45
d)
14/99
20.
a)
77/25
b)
77/250
c)
308/9
d)
308/999
21.
Between what two consecutive integers is the irrational number located?
a)
-9 and -11
b)
-81 and -100
c)
-9 and -10
22.
Between what two consecutive integers is this irrational number located? Square root of 5.
a)
Between 2 and 3
b)
Between 1 and 2
c)
Between 3 and 4.
d)
Between -2 and -3
23.
Between what two consecutive integers is this irrational number located? Square root of 7.
a)
Between 3 and 4
b)
Between 2 and 3
c)
Between 1 and 2
d)
Between 4 and 5
24.
Between what two consecutive integers is this irrational number located? Square root of 3.
a)
Between 2 and 3
b)
Between 3 and 4
c)
Between 1 and 2
d)
Between 0 and 1
25.
Between what two consecutive integers is this irrational number located? Square root of 10.
a)
Between 1 and 2
b)
Between 2 and 3
c)
Between 3 and 4
d)
Between 4 and 5
26.
5³⋅5⁴
a)
5⁷
b)
5⁻¹
c)
5¹²
d)
5
27.
6⋅6⁷
a)
6⁸
b)
6⁶
c)
6⁷
d)
6
28.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
29.
n²⋅n⁴⋅n⁵
a)
n¹¹
b)
n⁴⁰
c)
n¹³
d)
n²²
30.
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵
31.
3⁻⁴
a)
1 ⁄ 34
b)
-34
c)
34
d)
1 ⁄ 12
32.
(3y⁴)²
a)
9y⁸
b)
9y⁶
c)
6y⁸
d)
6y⁶
33.
3x⁻³
a)
1⁄3x³
b)
3⁄x³
c)
3x³
d)
-3x³
34.
a)
a
b)
b
35.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
36.
Make this negative exponent positive.
9-3
9-3
a)
93
b)
1/9-3
c)
1/93
d)
729
37.
n2⋅n4
a)
n2
b)
n8
c)
n6
d)
n²²
38.
Simplify:
a)
y15
b)
y50
c)
y2
d)
y5
39.
Simplify:
a)
c7
b)
1/c7
c)
1/c17
d)
c60
40.
(w2)-4
a)
w-8
b)
w-2
c)
1/w2
d)
1/w8
41.
(x3)5
a)
x8
b)
x2
c)
x15
d)
x5
42.
x4/x6
a)
x2
b)
x-2
c)
1/x2
d)
x10
43.
n²⋅n⁴⋅n⁵
a)
n¹¹
b)
n⁴⁰
c)
n¹³
d)
n²²
44.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
45.
3 x (5 + 2)
a)
17
b)
21
c)
30
d)
14
46.
Evaluate the expression:
(23 + m) ÷ 9
m = 4
(23 + m) ÷ 9
m = 4
a)
2
b)
4
c)
3
d)
9
47.
Evaluate the expression:
7 · (k ÷ 5)
k = 25
7 · (k ÷ 5)
k = 25
a)
35
b)
5
c)
42
d)
k
48.
Simplify:
3m + 12m
3m + 12m
a)
15m
b)
3m
c)
12m
d)
9m
49.
Simplify:
2b -(-6b) + 4b
2b -(-6b) + 4b
a)
-12b
b)
12b
c)
0
d)
b
50.
Simplify:
4d + (-3d)
4d + (-3d)
a)
d
b)
7d
c)
-d
d)
-7d
51.
Simplify:
4p -7p - (-4p)
4p -7p - (-4p)
a)
7p
b)
15p
c)
p
d)
-7p
52.
Simplify:
2(4x + 5x) + x
2(4x + 5x) + x
a)
9x
b)
19x
c)
18x
d)
14x
53.
Simplify:
2(y + 4)
2(y + 4)
a)
2y + 8
b)
y + 4
c)
2y + 4
d)
y + y + 8
54.
Simplify:
6(1 + z) + 3z
6(1 + z) + 3z
a)
6 + 4z
b)
6 + 6z
c)
6 + 9z
d)
6 + z
55.
Simplify and solve:
6y - 2y = 40
6y - 2y = 40
a)
y = 6
b)
y = 8
c)
y = 10
d)
y = 12
56.
Simplify and solve:
4t - 5 = t + 7
4t - 5 = t + 7
a)
t = 2
b)
t = 4
c)
t = 6
d)
t = 8
57.
m + (-23) = 46
a)
23
b)
-23
c)
69
d)
-69
58.
15k = 75
a)
5
b)
-5
c)
60
d)
1125
59.
-2 + w = 6
a)
4
b)
-3
c)
8
d)
3
60.
r + 7 = 11
a)
18
b)
-4
c)
16
d)
4
61.
f/2= 10
a)
5
b)
20
c)
8
d)
12
62.
3t = 9
a)
27
b)
6
c)
3
d)
12
63.
3y + 2 = 11
a)
3
b)
13/3
c)
4
d)
6
64.
2n4 * 6n4
a)
8n4
b)
12n8
c)
8n16
d)
none of the above
65.
6k2 * k
a)
6
b)
6k
c)
6k2
d)
6k3
66.
How would you write 4.3756 x 104 in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
67.
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
68.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
69.
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
70.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
71.
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
72.
Express the following in scientific notation:
.000045
.000045
a)
4.5 x 10-5
b)
45 x 10-6
c)
4.5 x105
d)
45 x 106
73.
Express the following in scientific notation:
10,030,400,000
10,030,400,000
a)
1.00304 x 109
b)
1.00304 x 1010
c)
1.00403 x 1010
d)
1.00304 x10-10
74.
Convert to standard notation:
2.4 x 10-3
2.4 x 10-3
a)
2400
b)
0.24
c)
0.024
d)
0.0024
75.
Convert to standard notation:
3.05 x 105
3.05 x 105
a)
305,000
b)
305
c)
3,050,000
d)
30,500
76.
(-10)2
a)
-20
b)
20
c)
100
d)
-100
77.
(-2)5
a)
-10
b)
10
c)
32
d)
-32
78.
-92
a)
-18
b)
18
c)
-81
d)
81
79.
-43
a)
-12
b)
12
c)
-64
d)
64
80.
90
a)
0
b)
1
c)
9
d)
90
81.
73
a)
21
b)
49
c)
73
d)
343
82.
Evaluate the expression:
a)
25
b)
1/25
c)
10
d)
-25
83.
Evaluate the expression:
a)
1/36
b)
36
c)
12
d)
-36
84.
Evaluate the expression:
a)
27
b)
9
c)
1/9
d)
1/27
85.
Evaluate the expression:
a)
4
b)
-4
c)
1/4
d)
-1/4
86.
Evaluate the expression:
a)
100
b)
-100
c)
1/100
d)
-20
87.
Simplify the expression:
a)
418
b)
4110
c)
417
d)
1218
88.
Evaluate the expression:
a)
216
b)
1/216
c)
18
d)
1/18
89.
Evaluate 32
a)
6
b)
8
c)
9
d)
5
90.
Evaluate 23
a)
5
b)
6
c)
8
d)
9
91.
√100
a)
15
b)
10
c)
11
d)
12
92.
√16
a)
4
b)
8
c)
2
d)
9
93.
Solve for x, if x2 = 16
a)
4
b)
5
c)
6
d)
7
94.
Solve for x, if x2 = 25
a)
4
b)
10
c)
3
d)
5
95.
Solve for x, if x2 = 100
a)
100
b)
5
c)
10
d)
15
96.
Simplify by combining like terms:
5a + 2b - 3a + 4
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
97.
-r -10r
a)
11r
b)
-11r
c)
9r
d)
-11
98.
n -10 +9n -3=
a)
-3
b)
9n-3
c)
n
d)
10n -13
99.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
100.
Which of these are like terms in the following expression:
3x + 7 - 9x + 24y + 2x2
3x + 7 - 9x + 24y + 2x2
a)
7, 24y
b)
3x, 9x
c)
3x, -9x
d)
3x, -9x, 2x2
101.
Simplify by combining like terms:
5a + 2b - 3a + 4
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
102.
Simplify by combining like terms:
4x2 - 3x + 11 -2x
4x2 - 3x + 11 -2x
a)
4x2 - 5x + 11
b)
11x + 11
c)
16x2 - 5x + 11
d)
10x2
103.
Combine Like Terms. 5x + 3y + 5 + 4x + 3y + y + 8
a)
9x + 7y + 13
b)
6x + 2y + 2
c)
25x + 2y + 3
d)
x + 7y + 12
104.
Combine Like Terms. 4x2+9x+10+3x2+7x+2
a)
23x2+12
b)
35x2
c)
7x2+16x+12
d)
23x+12
105.
Combine Like Terms. 5x2+8x+6+x2+3x+1
a)
6x2+11x+7
b)
17x2+7
c)
24x2
d)
17x+7
106.
Evaluate 2r + 1 if r = 3
a)
6
b)
5
c)
7
d)
8
107.
Evaluate 4y if y = 3
a)
7
b)
12
108.
3x + 8 if x = 2
a)
13
b)
14
c)
15
d)
16
109.
Evaluate 7y - 3y for y=2
a)
40
b)
73
c)
8
d)
4
110.
What is a rational number ?
a)
A rational number is a number that cannot be written as a fraction.
b)
A rational number is a number that can be written as a fraction.
c)
A rational number cannot be a repeating decimal.
111.
Choose the best definition of the term WHOLE NUMBERS...
a)
Numbers that have holes in them (like 0, 4, 8, etc.)
b)
Any positive #s
c)
1 and then +1 after that (1, 2, 3, 4, 5, 6...)
d)
Zero and the positive numbers with decimals of with .0
112.
Choose the best definition of the term INTEGERS...
a)
Whole numbers
b)
Negative numbers
c)
Negative Numbers and Positive Numbers
d)
Positive whole #s and their opposites and zero
113.
What is the definition of rational numbers?
a)
positive and negative fractions
b)
positive and negative decimals
c)
positive and negative whole numbers
d)
All of the above
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