Download 7.2 Day 4 Notes

LESSON 7.2 Day 4 - The Distributive Property
Goal: Use the distributive property.
Warm-up:
Use the distributive property to write equivalent expressions. The first two are done for you .
1) 4(2 + 3) = 4(2) + 4(3)
2) 10(5) + 10(4) = 10(5 + 4)
3) 3(5 + 2) =
4) 8(3) + 8(1) =
5) 7(4 + 9) =
6) 5(7) + 5(6) =
7) 8(2 - 3) =
8) 3(3) - 3(5) =
9) 10(5 - 2) =
10) 8(4) - 8(7) =
The Distributive Property
Algebra a(b + c) = ab + ac
a(b – c) = ab – ac
Numbers 9(4 + 6)
8(x – 1)
EXAMPLE 1 - Using the Distributive Property – One Way to Simplify an Expression
Since you can’t add what is inside of the parenthesis, you must distribute the number outside
of the parenthesis to both terms inside of the parenthesis.
a) 4(a + 3)
b) (a + 5)6
c) 3(x – 8)
d) 9(2p + 7)
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Now You try it. Use the distributive property to write an equivalent expression.
1) 5(n + 4)
2) 9(x – 2)
3) 4(2y + 3)
4) 6(a + 3)
EXAMPLE 2 - Distribute a negative number
a)
–3 (3x + 7)
b) (6  a)( 2)
c) -7(-x – 3)
d) -(x – 4)
Now You try it. Use the distributive property to write an equivalent expression.
5) 5 (n + 4)
6)  (3 + 4a)
7) –3(2x – 7)
8) -9(-x + 4)
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