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WorksheetsAlgebraic Expressions
Total questions: 20
Worksheet time: 1hrs 19mins
Name
Class
Date
1.
A _____________ is a symbol, usually a letter that stands for a number.
a)
coefficient
b)
algebraic expression
c)
variable
d)
term
2.
A(n) __________________ consists of one or more numbers, variables, and operations.
a)
numeric expression
b)
term
c)
variable
d)
algebraic expression
3.
Which of the following is an example of an algebraic expression?
a)
3(2 + 7) - 10
b)
78 - 5 + 3
c)
3x + 6y
d)
8(3) - 5 + 2
4.
Carla and her sisters each earned 9 dollars for babysitting. Which expression represents how much Carla and her sister earned altogether?
a)
9 + x
b)
9x
c)
2(9 + x)
d)
2x + 9
5.
What is the coefficient of the following expression?
7c + 8
7c + 8
a)
c
b)
7
c)
8
d)
1
6.
Evaluate the expression using the values m = 7, r = 8, and t = 2.
r/t
r/t
a)
8
b)
6
c)
4
d)
7
7.
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
8.
Simplify the following expression:
a - 8 - 10
a - 8 - 10
a)
2a - 18
b)
a - 18
c)
a - 2
d)
a + 18
9.
Simplify the following expression:
-9(14p - 8) - 4p
-9(14p - 8) - 4p
a)
130p - 72
b)
122p - 72
c)
-130p - 18
d)
-130p + 72
10.
Simplify the expression: -5(x + 4)
a)
5x + 4
b)
-5x + 4
c)
-5x - 20
d)
-5x + 20
11.
Simplify the Expression: 5(x + 2) + 2x
a)
7x + 2
b)
7x + 10
c)
5x + 4
d)
7x + 7
12.
Simplify the Expression: -4(x + 6) + 2(x - 2)
a)
2x + 28
b)
6x - 20
c)
-2x - 28
d)
6x - 28
13.
Simplify the Expression: 2x + 3x - 12x
a)
7x
b)
-7x
c)
-17x
d)
17x
14.
Simplify the Expression: 3(x - y + 5)
a)
3x - 3y + 8
b)
3xy + 15
c)
3x + 3y + 8
d)
3x - 3y + 15
15.
Simplify the Expression: 21 - 8x - 4 + 9x
a)
-4x -17
b)
17x + 25
c)
x + 17
d)
17x + 17
16.
Simplify the Expression: -9x + 17x + (-8x)
a)
34
b)
Zero
c)
-34
d)
1x
17.
Find the difference (2x + 5) − (x + 4).
a)
x + 1
b)
3x + 9
c)
−x + 1
d)
x + 9
18.
Add to Simplify:
(4x - 2x3) + (5x3 - 4x + 5)
(4x - 2x3) + (5x3 - 4x + 5)
a)
3x3 + 5
b)
3x3 + 8x + 5
c)
3x2 + 5
d)
7x3 + 8x + 5
19.
Find the sum.
(3 - 2x + 2x2) + (4x - 5 + 3x2)
(3 - 2x + 2x2) + (4x - 5 + 3x2)
a)
7x - 7x + 5x2
b)
5x2 + 2x - 2
c)
5x2
d)
5x2 + 6x + 8
20.
Simplify the expression.
(4a3 - 8a - 4a2) + (7a3 - 7 - 6a)
(4a3 - 8a - 4a2) + (7a3 - 7 - 6a)
a)
11a3 - 4a2 - 14a - 7
b)
5a3 - 4a2 - 14a - 7
c)
5a3 - 4a2 - 20a - 7
d)
5a3 - 9a2 - 20a - 7
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