Generating Equivalent Expressions

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Use the distributive property to find an equivalent expression: 5(2f + 4)

Back

10f + 20

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variables involved.

Front

Which expression is equivalent to 5x - 30?

Back

5(x - 6)

Front

How can you factor the expression 36x + 24?

Back

You can factor it as 12(3x + 2) or 4(9x + 6).

Front

Find an equivalent expression for the given expression: 36x + 24

Back

2(18x + 12)

Front

What is the result of combining like terms in the expression (e + e) + e?

Back

3e

Front

What is the result of simplifying the expression 6m - m?

Back

5m

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power.

Front

What is the first step in using the distributive property?

Back

Multiply the term outside the parentheses by each term inside the parentheses.