Equivalent Expressions/Combining Like Terms/Distrib. Prop.

Front

What are equivalent expressions?

Back

Expressions that have the same value for all values of the variable(s).

Front

What is the distributive property?

Back

A property that states a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

Front

Combine like terms: 4x + 3x

Back

7x

Front

Combine like terms: 10y + 5 - 2y + 8

Back

8y + 13

Front

Simplify the expression: 3(4 + 2)

Back

18

Front

Are the expressions 2(x + 5) and 2x + 10 equivalent?

Back

Yes

Front

Combine like terms: 6a + 4b - 2a + 3b

Back

4a + 7b

Front

What does it mean to simplify an expression?

Back

To reduce it to its simplest form by combining like terms and applying the distributive property.

Front

Simplify the expression: 5(3x + 2)

Back

15x + 10

Front

Are the expressions 7(x - 1) and 7x - 7 equivalent?

Back

Yes