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WorksheetsSIMPLIFY- Distributive Property and Combining Like Terms
Total questions: 27
Worksheet time: 58mins
Name
Class
Date
1.
Simplify the expression:
8(5 + w)
8(5 + w)
a)
40 + w
b)
40+8w
c)
85 + 8w
d)
13+8w
2.
Simplify the expression
11(9 + d)
11(9 + d)
a)
99 + d
b)
20 + 9d
c)
20 + d
d)
99+11d
3.
(b + 8)5
a)
b + 40
b)
5b - 40
c)
5b + 40
d)
5b + 8
4.
-3(2c - 5)
a)
-6c - 15
b)
-6c + 15
c)
6c + 15
d)
6c - 15
5.
- (2x +3)
a)
-2x - 3
b)
2x +3
c)
-3 + 2x
d)
-2x+ 3
6.
-2 (-2b + 6)
a)
-4b -12
b)
-4b +12
c)
4b -12
d)
4b +12
7.
4(-p - 6)
a)
4p - 24
b)
4p + 24
c)
-4p + 24
d)
-4p - 24
8.
5x + 3y + 5 + 4x + 3y + y + 8
a)
9x + 7y + 13
b)
6x + 2y + 2
c)
25x + 2y + 3
d)
x + 7y + 12
9.
Simplify the following expression:
3 + 5x + 8 - 2x
3 + 5x + 8 - 2x
a)
-3x2 - 11
b)
3x2 + 11
c)
11 - 3x
d)
11 + 3x
10.
Simplify the following expression:
(5 + 4x) + (2x - 8)
(5 + 4x) + (2x - 8)
a)
13 + 6x
b)
6x - 3
c)
6x - 13
d)
6x + 3
11.
Combine like terms
3x + 2x + 3y - 7y
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
12.
What does 32 mean?
a)
3 x 2
b)
3 x 3
c)
2 x 2 x 2
13.
What would be my first step? 3 + 4 x 6 - 4 = HINT: ORDER OF OPERATIONS
a)
addition
b)
multiplication
c)
subtraction
d)
exponents
14.
Simplify the following expression
7 - 8c + 3 - 6c
7 - 8c + 3 - 6c
a)
-10+14c
b)
-25
c)
10-14c
d)
25c
15.
Simplify the following expression:
-7x - 9x
-7x - 9x
a)
63x2
b)
-16x2
c)
-16x
d)
-15x
16.
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
17.
-5(n+10)+5n
a)
-5n-50+5n
b)
-50
18.
Simplify the expression:
2(7x - 3) + 6
a)
12 + 7x
b)
14x
c)
14x + 3
d)
9 + 7x
19.
Simplify the expression: -3(1 - 2x) +7
a)
21 - 6x
b)
6x +4
c)
-6x + 4
d)
10 - 6x
20.
Simplify the following expression:
-6x + 4(-x - 3)
-6x + 4(-x - 3)
a)
-2x - 12
b)
10x + 12
c)
-10x - 12
d)
-2x + 12
21.
Simplify the following expression:
-7x -5 (1 - 8x)
a)
-33x + 5
b)
33x - 5
c)
47x + 5
d)
5 - 47x
22.
What are the variables in the following expression?
a)
3, 4, 1 and 7
b)
z, x and y
c)
+ and -
d)
15
23.
Find the coefficient in the algebraic expression.
a)
x
b)
4
c)
5
d)
9
24.
What is the constant in the algebraic expression?
a)
3
b)
2
c)
-2
d)
7
25.
How many terms are in the algebraic expression?
a)
5
b)
2
c)
4
d)
3
26.
What is the "2" called
in the following term.
in the following term.
a)
Variable Term
b)
Variable
c)
Constant
d)
Coefficient
27.
Which are "like terms" from the following expression?
a)
3, 14, r
b)
14x, 5x, x
c)
2x, 7, 14x
d)
2x, 5x
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