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: 5a + 2b - 3a + 4

Back

2a + 2b + 4

Front

Use the Distributive Property: 2(1 + 10v)

Back

2 + 20v

Front

Use the Distributive Property: 6(7k + 11)

Back

42k + 66

Front

Use the Distributive Property: 2(5n + 1)

Back

10n + 2

Front

Use the Distributive Property: 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, 3a and 5a are like terms, while 3a and 4b are not.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable. For example, 3a + 5a = 8a.

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term. For example, in 4x, 4 is the coefficient.

Front

What is a constant term?

Back

A constant term is a term that does not contain any variables. For example, in the expression 3x + 5, 5 is the constant term.