1.7 The Distributive Property

You can use the distributive property to simplify algebraic expressions

We can use the distributive property to re-write an expression in simplest form Use the distributive property to simplify the product of a number and a sum or difference

Simplify each expression using the distributive property

3( h-5) =

(6+9v)6 =

-1(14+x) =

20( 8-a)=

3h-15

36 +54v

-14-x

160-20a

Simplify each expression using the distributive property

½( 4h-6) =

-(6+9v) =

1.1(6+x) =

2h-3

-6-9v

6.6+1.1x

Like Terms: remember that like terms have the same variable raised to the same power

12x + 4x = 16x

4b+ 4a+4b= 8b + 4a

Simplify each expression

2(2h+1)+3(4h+7)

5(n-8)+ 6(7-2n)

4h+2 + 12h+ 21 = 16h+23

5n-40 + 42-12n= -7n+2