Algebra 1 Common Core Student Edition, Grade 8-9

Lesson

Vocabulary

• Distributive
  Pr o p er t y


• term


• constant


• coefficient


• like terms

1

The Distributive

Property

Common Core State Standards

A-SSE.A.1a Interpret parts o f an expression, such as

terms, factors, and coefficients,

MP 1, MP 2, MP 3, MP 4, MP 6, MP 7

Objective To use the D istributive Property to sim p lify expressions

f; Getting Ready! > x C

There' s more

t han one way to

figure this out.

MATHEMATICAL

PRACTICES

In your favorite video game, you ro tate shapes as

th ey fa ll to make them f it together in a rectangle.

When you complete an entire row, you score 1 point

fo r each square in th a t row.

T h e s c r e e n a t t h e r i g h t show s y o u r l a t e s t g a m e in

pa u s e m o d e. U s in g o n ly t h e s h a p e s sh o w n , w h a t is t h e

maximum possible score fo r this game? Explain your

reasoning.

T o s o lv e p r o b le m s i n m a th e m a tic s , i t is o f t e n u s e f u l t o r e w r it e e x p re s s io n s i n s im p le r

form s. The Distributive Property, illu s tra te d b y th e area m o d e l below , is a n o th e r

property of real numbers that helps you to sim plify expressions.

x+ 5 x 5

Essent ial Und er st and ing Y o u c a n u s e t h e D is t r ib u t iv e P r o p e r t y t o s im p li f y th e

product of a num ber and a sum or difference.

Pr o p er t y Distributive Property

■y

Let a, b, and c b e r e a l n u m b e r s.

Algebra Examples

a{b + c) = ab + ac 4(20 + 6 ) = 4(20) + 4 (6 )

[b + c)a = ba + ca (20 + 6)4 = 20(4) + 6(4)

a(b — c) = ab - ac 7(30 - 2) = 7(30) - 7(2)

(b — c)a = ba — ca (30 - 2)7 = 30(7) - 2(7)

Y J

46 Ch ap t er 1 Fo u n d a t i o n s f o r A l g e b r a

TTF!