Page 64 - Math Course 2 (Book 1)

The Distributive Property

Distribute Over Addition or Subtraction
Use the Distributive Property to f nd 6 • 54.

A. 300
B. 24
C. 324
D. 6(50 + 4)

Answer

MO. 2 - L4b Simplest form

Distributive Property: when it is replaced by an equivalent expression

Simplify Algebraic Expressions having no like terms or parentheses.

Simplify 15x + 18x.
Vocabulary A-Z

Let us learn some vocabulary 15x + 18x = (15 + 18) x Distributive
Property
= 33x Substitution

Term Coef cient

is a number, a variable, or a product or quotient of the coef cient of a term is the numerical factor.
numbers and variables.
3y
2
in 17xy, the coef cient is 17, and in ,
Examples of term: 3 4
y, p , 4a, and 5 g h the coef cient is 4
3
2

Like Terms Let’s Begin

contain the same variables, with corresponding
variables having the same power.
Algebraic Expressions
2
2
2x + 6x + 5 3a + 5a + 2a
2
three terms like terms unlike terms
Examples

Rewrite 12(y + 3) using the Distributive Property.
Equivalent expressions Then simplify.
12(y + 3) = 12 • y + 12 • 3 Distributive
these expressions denote the same numbers. Property

The expressions 5n + 7n and 12n are called
equivalent expressions. Answer 12y + 36

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