WorksheetsEvaluating Algebraic Expressions
Total questions: 56
Worksheet time: 3hrs 42mins
Name
Class
Date
1.
b2 + 4
when b = 3
when b = 3
a)
10
b)
12
c)
13
d)
11
2.
Evaluate when a = 15:
2(a - 5) + 2
2(a - 5) + 2
a)
22
b)
27
c)
14
d)
7
3.
6a - 3d
when a = 1, d = 2
when a = 1, d = 2
a)
3
b)
12
c)
1
d)
0
4.
2x + 3 + x2; for x = 4
a)
17
b)
27
c)
19
d)
25
5.
8y + 12 - 2z
for y = 4 and z = 2
for y = 4 and z = 2
a)
40
b)
20
c)
84
d)
34
6.
Evaluate 3x + 8 if x = 2
a)
13
b)
14
c)
15
d)
16
7.
Evaluate when x = 8:
2x + x - 10
2x + x - 10
a)
34
b)
22
c)
14
d)
24
8.
Evaluate the expression when x = 3.
2x2 - 5
2x2 - 5
a)
31
b)
12
c)
7
d)
13
9.
Evaluate the expression when x = 8:
7(6 + 3 − x)
7(6 + 3 − x)
a)
72
b)
56
c)
21
d)
7
10.
Evaluate when x = 2 and y = 5:
2 + (12 - 5x) ⋅ 2y
2 + (12 - 5x) ⋅ 2y
a)
22
b)
40
c)
142
d)
-86
11.
a2 - b2
Evaluate if a=4 and b =2
Evaluate if a=4 and b =2
a)
4
b)
20
c)
-4
d)
12
12.
What is the first step in solving this problem:
12 ÷ 6 (3) + 8
12 ÷ 6 (3) + 8
a)
multiplication
b)
addition
c)
division
d)
subtraction
13.
What would be the second step in this problem? (3 + 4) 9 + 3 =
a)
parenthesis
b)
multiplication
c)
addition
d)
exponent
14.
Evaluate if a = 2 and b = 8
6 + 7b - 3a
6 + 7b - 3a
a)
-100
b)
100
c)
-56
d)
56
15.
Evaluate 4y if y = 3
a)
7
b)
12
16.
Evaluate m² if m = 5
a)
10
b)
25
17.
Evaluate 2r + 1 if r = 3
a)
6
b)
5
c)
7
d)
8
18.
evaluate bc + 5a
when a = 3, b = 4, and c = -6
when a = 3, b = 4, and c = -6
a)
9
b)
38
c)
-38
d)
-9
19.
Evaluate the expression when y = 5
2y2 + 3y
2y2 + 3y
a)
75
b)
65
c)
115
d)
105
20.
Evaluate the expression when x = 7 and y = 4
xy - 4(2)
xy - 4(2)
a)
3
b)
20
c)
48
21.
3(2x + z) when x=8 and z=2
a)
12
b)
30
c)
54
d)
60
22.
2x + 5(y - 1) when x=8 and y=5
a)
20
b)
31
c)
36
d)
-4
23.
(y + z)2 when y=5 and z=2
a)
7
b)
49
c)
29
d)
14
24.
6 (x + 5)
a)
Six times X increased by five
b)
Six times the sum of a number and five
c)
The quotient of six and a number increased by five
d)
Five more a number times six
25.
Evaluate the expression for the given value of the variable.
3x + 5 when x = 5
3x + 5 when x = 5
a)
18
b)
20
c)
200
d)
15
26.
evaluate bc + 5a
when a = 3, b = 4, and c = -6
when a = 3, b = 4, and c = -6
a)
9
b)
38
c)
-38
d)
-9
27.
Which is NOT an equation?
a)
x+14=32
b)
10-2x=10+5x
c)
3+x
d)
12=0.5x-3
28.
What are the coefficients in the expression
8a + b + 9?
8a + b + 9?
a)
8 only
b)
1 and 8
c)
8 and 9
d)
1, 8, and 9
29.
Translate from English to math: 3 less than y
a)
3-y
b)
y-3
c)
y/3
d)
3y
30.
What are the terms of the expression 5x - 3y + 4?
a)
5, 3, and 4
b)
5x and 3y
c)
5x, 3y, and 4
d)
5x, -3y, and 4
31.
A website charges $0.99 to download a game and $12.49 membership fee. Write an expression that gives the total cost in dollars to download "g" games.
a)
12.49g+0.99
b)
0.99g+12.49
c)
0.99+12.49
d)
g+12.49+0.99
32.
The expression 5n+2 can be used to find the total cost in dollars of bowling where "n" is the number of games bowled and 2 represents the cost of shoe rental. How much will it cost Vincent to bowl 3 games?
a)
$17
b)
$10
c)
$4
d)
$5
33.
Evaluate 4y if y = 3
a)
7
b)
12
34.
Evaluate m² if m = 5
a)
10
b)
25
35.
Evaluate 2r + 1 if r = -3
a)
-5
b)
5
c)
7
d)
-7
36.
Evaluate the expression when h = -6 .
19 + h
a)
-13
b)
-1
c)
7
d)
13
37.
Evaluate x - 20 when x = 3
a)
17
b)
-17
c)
23
d)
-23
38.
Identify the degree of the monomial:
8a3
8a3
a)
8
b)
1
c)
3
d)
11
39.
A polynomial that has two terms is a:
a)
polynomial
b)
monomial
c)
binomial
40.
Classify the polynomial by its degree.
x2 + 2x3 - 4
x2 + 2x3 - 4
a)
A
binomial
binomial
b)
B
trinomial
trinomial
c)
C
quadratic
quadratic
d)
D
cubic
cubic
41.
Classify the polynomial by its number of terms.
4x² - 2
4x² - 2
a)
A
monomial
monomial
b)
B
binomial
binomial
c)
C
trinomial
trinomial
d)
D
polynomial
polynomial
42.
3(2x + z) when x=8 and z=2
a)
12
b)
30
c)
54
d)
60
43.
2x + 5(y - 1) when x=8 and y=5
a)
20
b)
31
c)
36
d)
-4
44.
Which is NOT an equation?
a)
x+14=32
b)
10-2x=10+5x
c)
3+x
d)
12=0.5x-3
45.
2(a - 5) + 2
when a = 15
when a = 15
a)
22
b)
27
c)
14
d)
7
46.
2x + 3 + x2; for x = 4
a)
17
b)
27
47.
4 + (y + 3) + y2 for y = 5
a)
42
b)
37
48.
2x + 5(y - 1) when x=8 and y=5
a)
20
b)
31
c)
36
d)
-4
49.
Evaluate 2x + 5(y - 1) when x = 8 and y = 5
a)
20
b)
31
c)
36
d)
-4
50.
What are the coefficients in the expression
8a + b + 9?
8a + b + 9?
a)
8 only
b)
1 and 8
c)
8 and 9
d)
1, 8, and 9
51.
Evaluate 9−(a8+3) for a =2
a)
2
b)
8
c)
752
d)
-4
52.
Evaluate:
x - y - x2 + (y2 + x)
when x = -3 and y = -2
x - y - x2 + (y2 + x)
when x = -3 and y = -2
a)
-9
b)
9
c)
-3
d)
-13
53.
Evaluate (5x−1)(2x+3) for x=5
a)
250
b)
37
c)
1512
d)
312
54.
Simplify:
17m - 4 - 15m + 8
17m - 4 - 15m + 8
a)
2m + 4
b)
2m + (-12)
c)
2m + 12
d)
2m + (-4)
55.
Evaluate the expression using the correct order of operations.
48÷22×3+12
a)
72
b)
720
c)
36
d)
48
56.
2x + 5(y - 1) when x=8 and y=5
a)
20
b)
31
c)
36
d)
-4
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