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Worksheets

Evaluating Algebraic Expressions

Total questions: 171

Worksheet time: 11hrs 43mins

Name
Class
Date
1.
Evaluate the expression when m = 2. 
4 + m
a)
42
b)
6
c)
24
d)
8
2.
Evaluate 4t - 5, when t = 2.
a)
42
b)
1
c)
3
d)
13
3.
 In the expression, 6m - 1, what is the coefficient?
a)
m
b)
6
c)
1
d)
-
4.
 Evaluate p + q + y, when p = 2, y = 3, q = 4
a)
24
b)
9
c)
11
d)
14
5.
In the expression 6 + 3m + 2y, what is the constant?
a)
6
b)
3
c)
y
d)
1
6.
Evaluate 8x, when x = 5
a)
58
b)
44
c)
40
7.
Evaluate 3x + 13, x = 2.
a)
19
b)
7
c)
16
d)
29
8.
Evaluate: t(y+ 1) when t = 5 and y = 4.
a)
10
b)
15
c)
24
d)
25
9.
 Evaluate the expression.  12x - 4, when x = 2.
a)
20
b)
118
c)
28
d)
108
10.
Evaluate the expression when a = 4 and c = 7, 4a - 2c
a)
2
b)
17
c)
3
d)
16
11.
Evaluate the expression 11x + 5, when x = 3
a)
38
b)
118
c)
35
d)
33
12.
Evaluate the expression 100/r, when r = 5.
a)
20
b)
25
c)
21
d)
50
13.
Evaluate the expression 32y - 12, when y = 2.
a)
52
b)
50
c)
42
d)
62
14.
What is the value of the expression 8 + 15n, when n = 4?
a)
68
b)
66
c)
76
d)
86
15.
What is the value of the expression 21z - 11, when z = 8?
a)
157
b)
168
c)
186
d)
175
16.
What is the value of the expression 5y -12, when y = 3?
a)
3
b)
51
c)
41
d)
27
17.
What is the value of the expression 4x - 8, when x = 8?
a)
24
b)
40
c)
42
d)
26
18.
What is the value of the expression 34y, when y = 3?
a)
102
b)
120
c)
201
d)
104
19.
What is the value of the expression 28x, when x = 4?
a)
112
b)
121
c)
211
d)
284
20.
What is the value of the expression t/20 when t = 60?
a)
3
b)
2
c)
4
d)
1
21.
What is the value of the expression r/10, when r = 30?
a)
3
b)
2
c)
30
d)
1
22.
What is the value of the expression 90n - 18, when n = 2?
a)
162
b)
884
c)
160
d)
848
23.
What is the value of the expression 54x, when x = 5?
a)
270
b)
207
c)
247
d)
274
24.
What is the value of the expression 6n + 7n, when n = 4?
a)
52
b)
50
c)
138
d)
183
25.
What is the value of the expression 5x - 2x, when x = 2?
a)
6
b)
7
c)
30
d)
8
26.
a)
11
b)
14
c)
12
d)
15
27.
a)
30
b)
36
c)
366
d)
63
28.
a)
5
b)
52
c)
32
d)
23
29.
a)
A
b)
B
c)
C
d)
D
30.
a)
F
b)
G
c)
H
d)
J
31.
a)
4
b)
18
c)
9
d)
36
32.
a)
A
b)
B
c)
C
d)
D
33.
a)
A
b)
B
c)
C
d)
D
34.
a)
A
b)
B
c)
C
d)
D
35.
a)
A
b)
B
c)
C
d)
D
36.
Evaluate the expression 9 - x3, when x = 2.
a)
5
b)
7
c)
1
d)
3
37.
Evaluate the expression 7a + 4, when a = 4.
a)
32
b)
28
c)
78
d)
70
38.
Evaluate the expression c2 + 11, when c = 4.
a)
27
b)
16
c)
17
d)
19
39.
Evaluate the expression v2 - 4, when v = 5.
a)
21
b)
29
c)
6
d)
16
40.
Evaluate the expression p3 + 40, when p = 2.
a)
48
b)
46
c)
36
d)
42
41.
Evaluate the expression z5 + 7, when z = 1.
a)
8
b)
12
c)
22
d)
2
42.
Evaluate the expression n2, when n = 3.
a)
6
b)
9
c)
5
d)
32
43.
Evaluate the expression x3, when x = 4.
a)
64
b)
12
c)
7
d)
43
44.
Evaluate the expression k2, when k = 7.
a)
49
b)
14
c)
9
d)
72
45.
Evaluate the expression m3, when m = 10.
a)
13
b)
30
c)
1,000
d)
130
46.
Evaluate the expression y2, when y = 6.
a)
36
b)
12
c)
62
d)
8
47.
Evaluate the expression w2, when w = 8.
a)
16
b)
64
c)
10
d)
82
48.
Evaluate the expression q2, when q = 2.
a)
4
b)
22
c)
21
d)
3
49.
Evaluate the expression g2, when g = 6.
a)
36
b)
12
c)
62
d)
8
50.
Evaluate the expression a3, when a = 5.
a)
125
b)
15
c)
53
d)
35
51.

Evaluate the expression 4(x - 5) + 7 when x = 9

a)

16

b)

23

c)

28

d)

32

52.

Evaluate the expression 2(x - 5) + 7 when x = 7

a)

11

b)

4

c)

12

d)

14

53.

Evaluate the expression 4(x + 7) + 7 when x = 2

a)

43

b)

36

c)

53

d)

33

54.

Evaluate the expression 4(y - 12) when y = 20

a)

36

b)

28

c)

32

d)

40

55.

Evaluate the expression 3(x - 7) when x = 9

a)

8

b)

5

c)

7

d)

6

56.

Evaluate the expression 11(v + 2) when v = 8

a)

99

b)

100

c)

110

d)

111

57.

Evaluate the expression 12(u - 4) when u = 11

a)

80

b)

84

c)

88

d)

77

58.

Evaluate the expression b2 + 8b when b = 4

a)

45

b)

46

c)

47

d)

48

59.

Evaluate the expression 5(c + 12) when c = 9

a)

75

b)

50

c)

100

d)

105

60.

Evaluate the expression r3 + 2r when r = 3

a)

27

b)

33

c)

30

d)

37

61.

Evaluate p3p^3   at p = 2.

(a)  

62.

Evaluate xy5 at x=5,y=2xy-5\ at\ x=5,y=2   .

(a)  

63.

Evaluate r+s2    at r=4 and s=1r+s^2\ \ \ \ at\ r=4\ and\ s=1   .

(a)  

64.

Evaluate c2d      at c=6, and d=3\frac{c^2}{d}\ \ \ \ \ \ at\ c=6,\ and\ d=3   .

(a)  

65.

Evaluate 2gh     at   g=3 and h=42gh\ \ \ \ \ at\ \ \ g=3\ and\ h=4   .

(a)  

66.

Evaluate ab3       at  a=9 and b=6\frac{a-b}{3}\ \ \ \ \ \ \ at\ \ a=9\ and\ b=6   .

(a)  

67.

Evaluate xy  z at x = 4, y = 5, and z = 7xy\ -\ z\ at\ x\ =\ 4,\ y\ =\ 5,\ and\ z\ =\ 7   .

(a)  

68.

Evaluate a5  b2     at a = 2 and b = 3a^5\ -\ b^2\ \ \ \ \ at\ a\ =\ 2\ and\ b\ =\ 3   .

(a)  

69.

Evaluate xyz at x = 4, y = 6, z = 3\frac{xy}{z}\ at\ x\ =\ 4,\ y\ =\ 6,\ z\ =\ 3   .

(a)  

70.

Evaluate x2yz at x = 3, y = 2, z = 6\frac{x^2y}{z}\ at\ x\ =\ 3,\ y\ =\ 2,\ z\ =\ 6   .

(a)  

71.
Evaluate 2a + 4b 
if a = 10     and    b = 6
a)
20
b)
24
c)
44
d)
4
72.

Evaluate b2 + 4

b = 3

a)
10
b)
12
c)
13
d)
11
73.

3(x + 4)


when x = 2

a)

10

b)

24

c)

18

d)

12

74.

6(2x + 3)


when x = 4

a)

108

b)

51

c)

24

d)

66

75.

21 + 7x


when x = 2

a)

30

b)

27

c)

50

d)

35

76.

9(5h - 2)


when h = 2

a)

92

b)

48

c)

68

d)

72

77.

6y + 30


when y = 5

a)

30

b)

60

c)

71

d)

82

78.

10g + 8g + 2


when g = 10

a)

182

b)

190

c)

1820

d)

500

79.

8+ 12 ÷ a when a = 4

a)

5

b)
11
c)
12
d)
2
80.
2x + x2; for x = 3
a)
12
b)
15
81.
Which is equivalent to 34 ?
a)
27
b)
9
c)
81
d)
12
82.
Which is equivalent to 5 x 5 x 5 x 5
a)
53
b)
54
c)
45
d)
55
83.
Which is equivalent to 24
a)
8
b)
20
c)
16
d)
12
84.
The exponent equivalent of 20 x 20 x 20 is:
a)
20 x 3
b)
203
c)
320
d)
2000
85.
Which number is the BASE?
2= 8
a)
2
b)
3
c)
8
d)
not here
86.
Which number is the EXPONENT?
42 = 16
a)
4
b)
2
c)
16
d)
not here
87.
How would you represent 8⁶ ?
a)
8 x 6
b)
8 x 8 x 6
c)
8 x 8 x 8 x 8 x 8 x 8
d)
6 x 6 x 6 x 6 x 6 x 6 x 6 x 6
88.
What operation do you use with exponents?
a)
addition
b)
subtraction
c)
multiplication
d)
division
89.
Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7 ?
a)
75
b)
76
c)
67
d)
77
90.

What is the standard form to this problem? 626^2  

a)

12

b)

36

c)

4

d)

62

91.

How would you write 343^4  in expanded notation?

a)

3  + 3 + 3 + 3

b)

3 x 3 +3 + 3

c)

three to the fourth power

d)

3 x 3 x 3 x 3

92.

How would you say 262^6  in word form?

a)

Six to the second power

b)

Two and six

c)

Two to the sixth power

d)

64

93.
56= ?
a)
56
b)
0
c)
1
d)
65
94.
70 is equivalent to:
a)
7
b)
0
c)
1
d)
1/7
95.
Which expression is equivalent to 106?
a)
1,000,000
b)
60
c)
3,294,360
d)
600
96.
Definition of a term.
a)
Parts of an expression separated by + and - signs
b)
The number multiplied times a product of variables or powers of variables in a term
c)
A term or expression with no variables
d)
The numbers or expressions that when multiplied produce a given product
97.
Definition of a constant
a)
Parts of an expression separated by + and - signs
b)
The number multiplied times a product of variables or powers of variables in a term
c)
A term or expression with no variables
d)
The numbers or expressions that when multiplied produce a given product
98.
Definition of a factor.
a)
Parts of an expression separated by + and - signs
b)
The number multiplied times a product of variables or powers of variables in a term
c)
A term or expression with no variables
d)
The numbers or expressions that when multiplied produce a given product
99.
Definition of a coefficient.
a)
Parts of an expression separated by + and - signs
b)
The number multiplied times a product of variables or powers of variables in a term
c)
A term or expression with no variables
d)
The numbers or expressions that when multiplied produce a given product
100.
In the following expression, how many terms are there?
5x³ - 7x + 11
a)
1
b)
2
c)
3
d)
4
101.
In the following expression, the number 7 is an example of _____________?
5x³ - 7x + 11
a)
term
b)
constant
c)
coefficient
d)
variable
102.
In the following expression, the number 11 is an example of _____________?
5x³ - 7x + 11
a)
term
b)
constant
c)
coefficient
d)
variable
103.
In the following expression, which numbers are coefficients?
18x⁷ + 4x³ - 11x² + 9
a)
18, 4, -11, 9
b)
18, 4, -11
c)
7, 3, 2
d)
18, 4, 11, 2
104.
How many terms are in the following expression?
2x³ - 7 + 11x⁸ - 4x⁵
a)
1
b)
2
c)
3
d)
4
105.
Sally is selling bracelets for $5 and necklaces for $10.  If the equation below represents her total revenue (R), what the is the meaning of '10y'?
R = 5x + 10y
a)
Number of bracelets sold
b)
Number of necklaces sold
c)
Money earned from bracelets
d)
Money earned from necklaces
106.
Paul is making money during the summer by selling lemonade.  He buys all of the supplies for $20 and sells each cup for $0.50.  What does the expression below represent?
0.50x - 20 
a)
Number of cups of lemonade sold
b)
Total money from cups of lemonade sold
c)
Total profit made from lemonade
d)
Money spent on supplies
107.

42+15÷34^2+15\div3  

Which operation do you need to solve first?

a)

Addition

b)

Division

c)

Exponent

108.

252^5  

What is the correct equation to solve this problem?

a)

2 x 5

b)

2 x 2 x 2 x 2 x 2

109.

Solve: 2 × 33+10Solve:\ 2\ \times\ 3^3+10  

a)

28

b)

54

c)

64

d)

16

110.

62 92÷46^2\ -92\div4  

What is the order of operations for solving this problem?

a)

Subtract, Divide, Exponent

b)

Exponent, Subtract, Divide

c)

Exponent, Divide, Subtract

111.

Solve: 42+7×2Solve:\ 4^2+7\times2  

a)

46

b)

22

c)

30

d)

13

112.

Solve: 70÷523Solve:\ 70\div5-2^3  

a)

6

b)

8

c)

27

d)

14

113.

Solve: 33÷9+2Solve:\ 3^3\div9+2  

a)

3

b)

20

c)

5

d)

11

114.

Solve: 22+6×418Solve:\ 22+6\times4-18  

a)

64

b)

28

c)

94

d)

392

115.

Solve: 23+4×1+15Solve:\ 23+4\times1+15  

a)

54

b)

83

c)

60

d)

42

116.

Solve: 10×8+52÷4Solve:\ 10\times8+52\div4  

a)

93

b)

150

c)

25

d)

125

117.

Evaluate the expression 2x + 15 when x = 7

a)

17

b)

31

c)

23

d)

29

118.

Evaluate the expression y2 - 5, when y = 5.

a)

20

b)

10

c)

25

d)

15

119.

What is the value of the expression 6a - 3, when a = 6?

a)

27

b)

33

c)

39

d)

36

120.

x=5 3x

a)

15

b)

24

c)

35

d)

9

121.

B=12 10B+3

a)

123

b)

125

c)

143

d)

186

122.

C= 2 C+3+C

a)

7

b)

9

c)

23

d)

10

123.

H=5 9H

a)

45

b)

5

c)

15

d)

12

124.

J=5 5J+5+J

a)

35

b)

55

c)

50

d)

105

125.

P=10 6P+2

a)

32

b)

62

c)

82

d)

100

126.

L=7 8L+100

a)

156

b)

78

c)

180

d)

780

127.

K=2 8K

a)

16

b)

82

c)

100

d)

106

128.

A=3 B=4 A+ B

a)

7

b)

34

c)

42

d)

42

129.

R=2 3R+2

a)

8

b)

6

c)

10

d)

62

130.

Evaluate the expression below for x=16.

x2\frac{x}{2}  

a)

32

b)

8

c)

14

d)

18

131.

Evaluate the expression below for h=7.


3h

a)

21

b)

37

c)

4

d)

14

132.

Evaluate the expression below for e=81.

e9\frac{e}{9}  

a)

90

b)

1/9

c)

9

d)

72

133.

 Evaluate the expression below for c=5.

8c+258c+25

a)

17

b)

33

c)

110

d)

65

134.

Evaluate the expression below for b=7.

b5b-5  

a)

2

b)

75

c)

-12

d)

12

135.

Evaluate the expression below for j=6.

2j72j-7  

a)

17

b)

5

c)

-5

d)

19

136.

Evaluate the expression below for k=6.

4k54k-5  

a)

39

b)

5

c)

19

d)

27

137.

Evaluate the expression below for z=2.

9z9z  

a)

18

b)

92

c)

7

d)

11

138.

Evaluate the expression below for y=3.

y+4y+4  

a)

8

b)

34

c)

4

d)

7

139.

Evaluate the expression below for m=6.

2m22m-2  

a)

24

b)

10

c)

1

d)

6

140.

Evaluate the expression below for k=9.

45k\frac{45}{k}  

a)

6

b)

54

c)

36

d)

5

141.

Evaluate the expression below for q=10.

7q7q  

a)

70

b)

3

c)

710

d)

17

142.

Evaluate the expression below for r=30.

r5\frac{r}{5}  

a)

35

b)

5

c)

25

d)

6

143.

Evaluate the expression below for f=8.

2f+72f+7  

a)

24

b)

23

c)

31

d)

35

144.

Evaluate the expression below for m=3.

9m9m  

a)

27

b)

93

c)

6

d)

3

145.

Evaluate the expression below for x=8.

4x64x-6  

a)

36

b)

26

c)

42

d)

59

146.

Evaluate the expression below for n=7.

8n108n-10  

a)

46

b)

5

c)

77

d)

38

147.

Evaluate the expression below for q=9.

6q6q  

a)

45

b)

69

c)

72

d)

54

148.

Evaluate the expression below for w=4.

3w+173w+17  

a)

42

b)

29

c)

20

d)

51

149.

Evaluate the expression below for y=6.

8y78y-7  

a)

41

b)

47

c)

79

d)

1

150.

Evaluate m² if m = 5

a)

10

b)

25

151.
b2 + 4
when b = 3
a)
10
b)
12
c)
13
d)
11
152.

Evaluate 3x + 8 if x = 2

a)

40

b)

14

c)

24

d)

16

153.

Evaluate when x = 8:

2x + x - 10

a)

34

b)

26

c)

14

d)

18

154.

Evaluate 2r + 1 if r = 3

a)

6

b)

5

c)

7

d)

24

155.

Evaluate if a = 2 and b = 8

6 + 7b - 3a

a)

54

b)

100

c)

52

d)

56

156.
Evaluate the expression when y = 5
2y2 + 3y
a)
75
b)
65
c)
115
d)
105
157.
2x + 3 + x2; for x = 4
a)
17
b)
27
c)
19
d)
25
158.
8y + 12 - 2z
for y = 4 and z = 2
a)
40
b)
20
c)
84
d)
34
159.
Evaluate the expression when x = 3. 
2x2 - 5
a)
31
b)
12
c)
7
d)
13
160.
b2 + 4
when b = 3
a)
10
b)
12
c)
13
d)
11
161.
6a - 3d
when a = 1, d = 2
a)
3
b)
12
c)
1
d)
0
162.
Evaluate 3x + 8   if x = 2
a)
13
b)
14
c)
15
d)
16
163.
Evaluate 4y  if       y = 3
a)
7
b)
12
164.

Evaluate m² if m = 5

a)

10

b)

25

165.

Evaluate 2r + 1 if r = -3

a)

-5

b)

5

c)

7

d)

-7

166.
3(2x + z) when x=8 and z=2
a)
12
b)
30
c)
54
d)
60
167.
Evaluate when a = 15:
2(a - 5) + 2
a)
22
b)
27
c)
14
d)
7
168.

Evaluate the expression when h = -6 .

19 + h

a)

-13

b)

-1

c)

7

d)

13

169.

Evaluate x - 20 when x = 3

a)

17

b)

-17

c)

23

d)

-23

170.

Evaluate x2 when x = -2

a)

4

b)

-4

c)

2

d)

-2

171.

Evaluate x2 + 2x - 1 when x = -3

a)

-2

b)

2

c)

16

d)

-15