Page 16 - Math Course 2 (Book 1)

The Distributive Property

MO. 1 - L2b

Writing Equivalent Algebraic Use the Distributive Property to write –2(n – 3) as an
equivalent algebraic expression.
Expressions
–2(n – 3) = –2[n + (–3)] Rewrite n – 3 as
n + (–3).

Let’s Begin = –2n + (–2)(–3) Distributive Property

= –2n + 6 Simplify.

Simplify Algebraic Expressions
Answer –2n + 6
Examples

Your Turn!
Use the Distributive Property to write 2(x + 4) as
an equivalent algebraic expression.
Simplify Algebraic Expressions
2(x + 4) = 2x + 2 • 4 Use the Distributive Property to write 4(m + 7) as
an equivalent algebraic expression.
= 2x + 8 Simplify.
A. m + 28
Answer 2x + 8 B. 4m + 11
C. (4m)(28)
D. 4m + 28
Use the Distributive Property to write (y + 3)6 as
an equivalent algebraic expression. Answer

(y + 3)6 = y • 6 + 3 • 6
= 6y + 18 Simplify.

Answer 6y + 18

Simplify Expressions with
Subtraction
Use the Distributive Property to write (p + 3)5 as
Examples an equivalent algebraic expression.
A. 5p + 8
Use the Distributive Property to write 4(x – 2) as an B. 5p + 15
equivalent algebraic expression. C. p + 15
D. (5p)(15)
4(x – 2) = 4[x + (–2)] Rewrite x – 2 as x + (–2).
Answer
= 4x + 4(–2) Distributive Property

= 4x + (–8) Simplify.

= 4x – 8 Def nition of subtraction

Answer 4x – 8

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