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: 8(5f - 7) + 3f

Back

43f - 56

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: -2(3x + 5) + 6x

Back

-10

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term. For example, in 3n, 3 is the coefficient.

Front

Simplify: 2x + 7(x - 5) - 4

Back

9x - 39

Front

Identify the like terms in the expression: 5a + 2b - 3a + 4

Back

The like terms are 5a and -3a.

Front

What is the result of combining like terms: 5a + 2b - 3a + 4?

Back

2a + 2b + 4

Front

Simplify: 4x + 2(3x - 1)

Back

10x - 2

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.