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 the expression: 3(2h + 3c + 2)

Back

6h + 9c + 6

Front

Simplify the expression: 3(2c - 5)

Back

6c - 15

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 2x and 3x are like terms.

Front

Simplify: 3(9 + 2d) + 4d

Back

27 + 10d

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable and exponent, simplifying the expression.

Front

Simplify the expression: 9x + 5(x + 3)

Back

14x + 15

Front

Simplify: 5p + 7y + 2t - 3p + 4y

Back

2p + 11y + 2t

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 the expression 4(x + 2) + 3x, what is the first step to simplify it?

Back

Use the Distributive Property to multiply 4 by both x and 2.