Distributive Property & 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

Combine like terms: 3a + 4a + 9

Back

7a + 9

Front

Combine like terms: 3x + 5 + 2x - 7

Back

5x - 2

Front

Use the Distributive Property and remove the parentheses: 2(3x + 4)

Back

6x + 8

Front

Simplify by combining like terms: 5a + 2b - 3a + 4

Back

2a + 2b + 4

Front

Factorize the following algebraic expression: 5 + 15x

Back

5(1 + 3x)

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3a and 4a are like terms.

Front

What does it mean to combine like terms?

Back

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

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in 4x, 4 is the coefficient.

Front

What is an algebraic expression?

Back

An algebraic expression is a combination of numbers, variables, and operations. For example, 3x + 5 is an algebraic expression.