Simplify with Distributive Property and 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 completely: 3(3x + 1)

Back

9x + 3

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and -9x are like terms.

Front

Identify the like terms in the expression: 3x + 7 - 9x + 24y + 2x^2

Back

3x and -9x are like terms.

Front

Simplify completely: 5a + 2b - 3a + 4

Back

2a + 2b + 4

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform any operations to reduce it to its simplest form.

Front

Simplify completely: -8(5b + 2) - 7(b - 5)

Back

-47b - 19

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 completely: -8(2x - 3)

Back

-16x + 24

Front

What is the result of combining like terms?

Back

Combining like terms results in a simpler expression by adding or subtracting the coefficients of the like terms.