Distributive Property & 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(2c − 5)

Back

−6c + 15

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

Simplify: (b + 8)5

Back

5b + 40

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power, such as 2x and 3x.

Front

Simplify: 8(3t + 5) − 6(4 − t)

Back

30t + 16

Front

What is the first step in simplifying an expression using the Distributive Property?

Back

The first step is to distribute the outer term to each term inside the parentheses.

Front

Simplify: 9x + 5(x + 3)

Back

14x + 15

Front

What is the result of combining 3a and -2a?

Back

a

Front

Simplify: −3(x − 4) + 3(a − 6)

Back

−3x + 3a − 6