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Worksheets

Algebra Review

Total questions: 125

Worksheet time: 5hrs 16mins

Name
Class
Date
1.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
2.
3x-5x
a)
2x
b)
8x
c)
-2x
d)
15x2
3.
Simplify the expression: 3x + 2x
a)
5x
b)
x
c)
6x
d)
5
4.
-r -10r
a)
11r
b)
-11r
c)
9r
d)
-11
5.
-6k + 7k=
a)
k
b)
-k
c)
12k
d)
-12k
6.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
7.
n -10 +9n -3=
a)
-3
b)
9n-3
c)
n
d)
10n -13
8.
-4x - 10x
a)
-14
b)
6x
c)
-6x
d)
-14x
9.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
10.
Combine like terms
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
11.
Simplify by combining like terms:
4x2 - 3x + 11 -2x
a)
4x2 - 5x + 11
b)
11x + 11
c)
16x2 - 5x + 11
d)
10x2
12.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
13.
Simplify the following expression:
-10x + 15 - 3x + 2
a)
13x2 + 17
b)
-13x2 + 13
c)
-13x + 17
d)
-7x + 17
14.
a + a + a + a
a)
a + 4 
b)
4a 
c)
a to the fourth power 
d)
4a + 4 
15.
y + x + y + y + x 
a)
2 + 3 
b)
x + y 
c)
2x + 3y 
d)
5xy 
16.
2r + 2 + 5r - 2 + r 
a)
8r 
b)
8r - 4 
c)
12r 
d)
7r + 4 + r 
17.
6x + 1 + 7x 
a)
13x - 1
b)
14x 
c)
7x + 6x + 1 
d)
13x + 1 
18.
6x + 2x 
a)
8x 
b)
12x 
c)
d)
12 
19.
3 + 5x + 4
a)
5x ∙ 7 
b)
12x 
c)
35x 
d)
5x + 7 
20.
Simplify the following expression:
a - 8 - 10
a)
2a - 18
b)
a - 18
c)
a - 2
d)
a + 18
21.
Simplify the following expression:
3 + 5x + 8 - 2x
a)
-3x2 - 11
b)
3x2 + 11
c)
11 - 3x
d)
11 + 3x
22.
Which one is the variable?
3w + 2w - (-7w)
a)
3
b)
2
c)
w
d)
12
23.
What is the coefficient in the following expression?
5x - 9
a)
-9
b)
5
c)
x
d)
5x
24.
Identify the "like terms" in the expression: 
2x + 4y - 3x + y - x
a)
2x and 4y and -3x
b)
2x and -3x and x
4y and y 
c)
they are all like terms
d)
there are no like terms
25.
How many terms are in the expression: 
4a - 2b + 8 - 3a - 4b
a)
5
b)
3
c)
9
26.
Simplify the expression: 3x + 2x
a)
5x
b)
x
c)
6x
d)
5
27.
x + 2x
a)
2x2
b)
3x
c)
Can't be simplified
d)
3x + x
28.

What is the constant term?

5g3 + 2

a)

5

b)

g

c)

3

d)

2

29.
n -10 +9n -3=
a)
-3
b)
9n-3
c)
n
d)
10n -13
30.
-6k + 7k=
a)
k
b)
-k
c)
12k
d)
-12k
31.
What is the opposite of division?
a)
Multiplication
b)
Addition
c)
Subtraction
d)
Division
32.
2n4 * 5n4
a)
7n4
b)
10n16
c)
10n8
d)
none of the above
33.
6k2 * k
a)
6
b)
6k
c)
6k2
d)
6k3
34.
6m3n* 8m2n3
a)
48m5n9
b)
48m6n6
c)
48m5n6
d)
none of the above
35.
2n4 * 6n4
a)
8n4
b)
12n8
c)
8n16
d)
none of the above
36.
7v*10u3v
a)
70u3v6
b)
17u3v8
c)
70u3v8
d)
none of the above
37.
9xy2 * 9x5y2
a)
81x6y4
b)
18x6y6
c)
9x6y4
d)
none of the above
38.
6m3n* 8m2n3
a)
48m5n9
b)
48m6n6
c)
48m5n6
d)
none of the above
39.
6x2 * 6x3y4
a)
12x6y4
b)
36x5y4
c)
36x5
d)
none of the above
40.
7u2v5 * 9uv3
a)
16u2v8
b)
63u3v15
c)
63uv8
d)
63u3v8
41.
uv * 4uv5
a)
4u2v6
b)
u2v6
c)
2u*4v
d)
4uuvvv
42.
10xy3 * 8x5y3
a)
80xy3
b)
80x6y3
c)
80x6y6
d)
none of the above
43.
3u4v5 * 7u2v3
a)
21u2v2
b)
14u6v8
c)
21u8v15
d)
none of the above
44.
2a x 6a2
a)
12a3
b)
12a
c)
2a2
d)
6a3
45.
Evaluate the expression using the quotient rule.
a)
x13
b)
x5
c)
x36
d)
x-5
46.
a)
8x4
b)
8x8
c)
6x4
d)
6x8
47.
(d4)(d5)
a)
2d4
b)
d9
c)
d2
d)
2d
48.
(-x5)(y3)
a)
-x8y
b)
-xy8
c)
-x5y3
d)
-(xy)8
49.
2n4 * 5n4
a)
7n4
b)
10n16
c)
10n8
d)
none of the above
50.
(3c2)(10c7)
a)
13c9
b)
30c5
c)
30c9
d)
-30c9
51.
2a x 6a2
a)
12a3
b)
12a
c)
2a2
d)
6a3
52.
(-x5)(y3)
a)
-x8y
b)
-xy8
c)
-x5y3
d)
-(xy)8
53.
Evaluate the expression using the quotient rule.
a)
y15
b)
y50
c)
y2
d)
y5
54.
n2⋅n4
a)
n2
b)
n8
c)
n6
d)
n²²
55.
Which number is the BASE?
2= 8
a)
2
b)
3
c)
8
56.
Which number is the EXPONENT?
4
a)
4
b)
2
c)
16
57.
What is the exponent form for the factors
5 x 5 x 5?
a)
35
b)
53
58.
5³⋅5⁴
a)
5⁷
b)
5⁻¹
c)
5¹²
d)
5
59.
Simplify: (6x7)(4x2)
a)
10x9
b)
24x14
c)
24x9
d)
10x14
60.
1.)  Simplify
 (2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
12a5b6z6
d)
8a6b8z5
61.
a)
4y6
b)
4y22
c)
30y6
d)
30y22
62.
a)
2a2b6
b)
1/2a2b6
c)
b6/2a2
d)
2b6/a2
63.
(36x5y2) ÷ (-9x3y)
a)
-4x2y
b)
4x2y
c)
-4x8y3
d)
4x8y3
64.

Evaluate 2x+y2 if x=3 and y=4

a)

22

b)

17

c)

25

d)

19

65.

Evaluate x2 - y if x=(-2) and y=(-1)

a)

3

b)

5

c)

-3

d)

-5

66.

Write the algebraic expression for "add 8 to w".

a)

8w

b)

w + 8

c)

8 + 8 + w

d)

8 - w

67.

Write the algebraic expression for " subtract 10 from a"

a)

10 + 10

b)

10 - a

c)

a - 10

d)

a -a

68.

Write the algebraic expression for"multiply 6 by g"

a)

6g

b)

6 + g

c)

g x g x 6

d)

6 X 6

69.

Solve for x if 6 +x =12

a)

x = 18

b)

x = 6

c)

x = 12

d)

x = 1

70.

Solve for a if 15 x a = 45

a)

a = 45

b)

a = 3

c)

a = 5

d)

a = 15

71.

Solve for y if y - 100 = 230

a)

y = 130

b)

y = 30

c)

y = 330

d)

4 = 430

72.

Solve for x if 6x = 54

a)

x = 9

b)

x = 8

c)

x = 4

d)

x = 11

73.

Solve for x if x = 3


x + 13

a)

13

b)

31

c)

16

d)

61

74.

Solve for x if x = 10


10x + 15

a)

1025

b)

152

c)

115

d)

35

75.

Solve for x if x = 35


x - 20 + 4 x 7

a)

133

b)

112

c)

43

d)

153

76.
What is the range of the data shown in the stem and leaf plot?
a)
40
b)
56
c)
136
d)
96
77.
How many scores are listed in this Stem and Leaf Plot?
a)
3
b)
6
c)
9
d)
18
78.
What is the minimum in this data set?
a)
0
b)
4
c)
9
d)
40
79.
How many games did the team play?
a)
15
b)
12
c)
24
d)
14
80.
In how many games did the team score more than 20 points?
a)
8
b)
7
c)
10
d)
9
81.
What is the mode of the scores?
a)
24
b)
14
c)
34
d)
30
82.
What is the range of the scores?
a)
20
b)
25
c)
30
d)
35
83.
What is the highest quiz grade in the stem and leaf plot?
a)
9
b)
26
c)
92
d)
96
84.
How many students scored more than 80%?
a)
10
b)
13
c)
7
d)
15
85.
How many students got a perfect score on the test?
a)
0
b)
2
c)
6
d)
1
86.
How many baseballs were thrown 50 or more feet?
a)
5
b)
4
c)
13
d)
8
87.
Find the median, mode and range: 
3, 5, 7, 9, 11, 8, 3
a)
median:7  mode:3  range:7
b)
median:6  mode:3  range:7
c)
median:7  mode:3  range:8
88.
At Dominique's Donuts the number of donut holes in a bag can vary. Help Dominique find the mode.
12,10,10,10,13,12,11,13,10
a)
13
b)
12
c)
11
d)
10
89.
Ervin bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Ervin's scores?
a)
193
b)
127
c)
60
d)
66
90.
Simplify:
14k + 4 + 18 - 16k
a)
30k + 14
b)
30k - 14
c)
-2k + 22
d)
-2k + 14
91.
Simplify:
17m - 4 - 15m + 8
a)
2m + 4
b)
2m + (-12)
c)
2m + 12
d)
2m + (-4)
92.
Simplify:
-9 + 13 + 16f + 19f
a)
3f + 4
b)
3f + (-4)
c)
35f + 4
d)
35f + 22
93.

-a x -a x -2a

a)

-4a2

b)

-4a

c)

-2a4

d)

-2a3

94.
9 divided by d
a)
9Xd
b)
9/d
c)
d/9
d)
dx9
95.
w increased by 5
a)
w - 5
b)
5w
c)
w + 5
d)
w / 5
96.

Simplify:

9r9 ÷ 3r5

a)

3r-4

b)

6r4

c)

27r4

d)

3r4

97.

Simplify:

6p4 ÷ 2p2

a)

8p2

b)

3p2

c)

12p2

d)

3p6

98.

Simplify:

y2 × y4

a)

y2

b)

y6

c)

y8

d)

2y6

99.

Simplify:

x4 × x3

a)

x7

b)

x1

c)

x12

d)

x-7

100.

m4 × m3 =

a)

m7

b)

m-1

c)

2m12

d)

m12

101.

y2 × y4 =

a)

y2

b)

y6

c)

y8

d)

2y6

102.

3g6 × 5g

a)

8g6

b)

8g7

c)

15g6

d)

15g7

103.

8g × 2g

a)

16g

b)

16g2

c)

10g

d)

6g2

104.

Aisyah thinks of a number n.

write an expression in terms n ; multiplies by 7

a)

7 + n

b)

7n

c)

7/n

d)

n/7

105.

Aisyah thinks of a number n.

write an expression in terms n ; subtracts 2 from the number

a)

2-n

b)

n-2

c)

n × 2

d)

n ÷ 2

106.

Rani thinks of a number p.

write an expression in terms p ; multiplies the number by 3 then adds 9

a)

3p + 9

b)

9p + 3

c)

3p - 9

d)

9p - 3

107.
w + w + w could be simplified as?
a)
3w
b)
3
c)
w
d)
0
108.
What is the coefficient of the term: 18w
a)
8
b)
w
c)
18
d)
1
109.
Simplify the expression: 3x + 2x
a)
5x
b)
x
c)
6x
d)
5
110.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
111.
Simplify the following expression:
-10x + 15 - 3x + 2
a)
13x2 + 17
b)
-13x2 + 13
c)
-13x + 17
d)
-7x + 17
112.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
113.
Simplify:
 10x + 6x + 9x + (-11y)
a)
-1y + 15x
b)
-11y + 25x
c)
-11y - 15x
d)
-1y - 15x
114.
Simplify:
10y - 7y + 8y - 7y
a)
4y
b)
4x
c)
-4x
d)
-4y
115.
The flag belongs to...
a)
Papua New Guinea
b)
Armenia
c)
Ireland
d)
Ivory Coast
116.
The flag belongs to...
a)
Republic of Lithuania
b)
Nepal
c)
Republic of Mali
d)
Kenya
117.
The flag belongs to...
a)
Costa Rica
b)
Croatia
c)
Haiti
d)
Iceland
118.
a)
Germany
b)
Khazakistan
119.
a)
Papa New Guinea
b)
Astria
c)
Papua New Guinea
d)
Austria
120.
What language do they speak in Lebanon?
a)
Lebanish
b)
Lebanian
c)
Lebanese
121.
What language do they speak in  Portugal?
a)
Spanish
b)
Portugish
c)
Portuguese
122.
Who is this?
a)
Pluto
b)
Goofy
c)
Mars
d)
Mickey
123.
Who is this?
a)
Foghorn Armhorn
b)
Foghorn Leghorn
c)
Rooster
d)
Chicken Little
124.
Who is this?
a)
Garfield
b)
Pluto
c)
Odie
d)
Peanut
125.
what show is this?
a)
tall and small
b)
pinky and the brain
c)
tom and jerry
d)
teen titans