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 number by a sum by distributing the multiplication to each addend.

Front

Simplify: -2(1 - 5v)

Back

-2 + 10v

Front

What are like terms?

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: -2x + 11 + 6x

Back

4x + 11

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract coefficients of like terms to simplify an expression.

Front

Simplify: -5(x + 4)

Back

-5x - 20

Front

What is a coefficient?

Back

A coefficient is a number that is multiplied by a variable in an algebraic expression. For example, in 4x, 4 is the coefficient.

Front

Simplify: 3(1 - 2x) + 7

Back

10 - 6x

Front

What is an expression?

Back

An expression is a combination of numbers, variables, and operations that represents a value.

Front

Simplify: 5(2 - 7n)

Back

10 - 35n