4.16 Combining Like Terms (Distributive Property)

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: 6(2n + 5m)

Back

12n + 30m

Front

What does it mean to combine like terms?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

Simplify: 8(3 + 4)

Back

56

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

Simplify: 8(4x + 10)

Back

32x + 80

Front

Are the expressions y + y + y + y + 6n and 2(2y + 3n) equivalent?

Back

Yes

Front

Simplify: 5(2j – 4k)

Back

10j - 20k

Front

What is the first step in using the Distributive Property?

Back

The first step is to multiply the term outside the parentheses by each term inside the parentheses.

Front

If you have 3(x + 2), what is the simplified form?

Back

3x + 6