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Worksheets7 Lesson 7: Distributive Property and Factoring Expressions
Total questions: 20
Worksheet time: 5hrs 0mins
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.
Which of the following is equivalent to 5(2x + 6)?
a)
10x + 30
b)
10x + 6
c)
40x
d)
2x + 30
4.
Find an equivalent expression for the given expression: 36x + 24
a)
4(9x + 7)
b)
4(9x + 8)
c)
2(18x + 12)
d)
12(3x + 3)
5.
Use the given expression to answer the following question.
5x + 9 - 4b
There are _________ terms in the given algebraic expression.
5x + 9 - 4b
There are _________ terms in the given algebraic expression.
a)
2
b)
3
c)
4
d)
5
6.
Factor 12x - 20
a)
6(2x - 3)
b)
4(3x - 5)
c)
4x(3x - 5)
d)
3(4x + 6)
7.
Factor in simplest form: 6x + 12
a)
3(2x + 4)
b)
6(x+2)
c)
6x(x+2)
d)
1/2 (3x + 24)
8.
Factor completely: 16 + 24x
a)
8 ( 2 + 3x)
b)
4 ( 4 + 7x)
c)
8 ( 2 - 3x)
d)
6 ( 4x + 3)
9.
Factor:
7x + 47
a)
7(x + 7)
b)
7(x + 47)
c)
can't be factored
d)
7(x - 47)
10.
Select all the expressions that are equivalent to 3(5x + 4y).
a)
15x + 7y
b)
15x + 12y
c)
15x + 4y
d)
3(5x) + 3(4y)
11.
Select all the expressions that are equivalent to 6(2x + 9y).
a)
12x + 54y
b)
12x + 9y
c)
6(2x) + 9(y)
d)
6(2x) + 6(9y)
12.
Which of the following is equivalent to 5(3x + 4y)?
a)
15x + 4y
b)
15 + 4y
c)
15x + 20y
d)
5xy(3 + 4)
13.
Which of the following is equivalent to 2(x + 3 + 4x)?
a)
2x + 6
b)
10x + 6
c)
6x + 6
d)
9x
14.
Factor 8x-10
a)
2(4x-5)
b)
6(2x-4)
c)
2(4x+5)
d)
8(x+5)
15.
Factor 3x+27
a)
3(x+3)
b)
9(3x+9)
c)
3(x-3)
d)
3(x+9)
16.
5(a + 6)
a)
5a + 6
b)
a + 30
c)
5a + 30
d)
5a - 30
17.
2(c - 8)
a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16
18.
3(2c - 5)
a)
6c - 15
b)
6c + 15
c)
6c + 15
d)
-6c - 15
19.
9(2g + 3)
a)
18g + 27
b)
18g - 27
c)
-18g - 27
d)
18g - 18
20.
3(6x-5)
a)
18x-15
b)
18x+-15
c)
9+15x
d)
9x-15
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