Name ________________________________________________Period ________
MATH 7 - 11.3 The Distributive Property
Simplify the expressions.
9)
1
(6x − 30)
6
2) 9(x – 6)
10)
2
(9x + 18y)
9
3) (x + 2)17
11) .06(a + b +2)
4) 9(2 + x)
12) .8(3x + y + 4)
1) 5(x + 2y + 4)
5) 4x(2y + 7)
13) Circle the expression that is equivalent
to .4x + 2 .
.2(2x + 10)
6) 11(3x + 7y – 2)
.2(2x + 2)
Circle the two factors of the expression.
14) 9x + 18y + 27
a) 9
b) x
c) x + 2y +3
d) 27
c) 3x + y + 4
d) 24
7) 9(2xy - 3)
15) 24x + 8y + 32
a) 8
8)
b) y
1
(2x + 14)
2
16) Find the factors of the expression.
3x + 12y + 6
Concept Check
Simplify the expression.
2(x + 3y − 5)
Test Preparation
Circle the correct response.
Which of the following is a correct use of the distributive
property?
a) 4(x + 7) = 4(x) + 4(7)
True or False?
b) 4(x+ 7) = 4(x)
The factors of the expression 2x + 6y − 10 are 2 and
x + 3y - 5.
c) 4(x + 7) = 4(x) – 4 (7)
More Challenging
Find the factors of the expressions.
Mathematical Reasoning
Replace the question mark with a number to make the
expressions equivalent.
d) 4(x + 7) = 4(x) + 7
5x + 10y
2
(?x − 20) = 2x − 8
5
5xy + 10x
Review
Simplify the expression.
−3(−6y)
Review
Simplify the expression.
2
(21xy)
7