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: 3(9 + 2d) + 4d

Back

27 + 10d

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: -r - 10r

Back

-11r

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: (b + 8)5

Back

5b + 40

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

Simplify: 10(8 - 2x)

Back

80 - 20x

Front

What is an expression?

Back

An expression is a combination of numbers, variables, and operators (like +, -, *, /) that represents a value.

Front

Simplify: 2(x + y + z)

Back

2x + 2y + 2z