Distributive Property and Combining Like Terms

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

Simplify: 3(x + 4)

Back

3x + 12

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

Simplify: 2a + 3a

Back

5a

Front

What is the result of applying the Distributive Property to 4(2 + x)?

Back

8 + 4x

Front

Simplify: 7y - 2y + 5

Back

5y + 5

Front

What is a like term?

Back

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

Front

Simplify: 5(a + 6)

Back

5a + 30

Front

What is the first step in combining like terms?

Back

Identify the terms that are alike (same variable and exponent).

Front

Simplify: 6x + 4 - 2x + 3

Back

4x + 7