Distributive Property and Combining Like Terms

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

How do you combine like terms in an expression?

Back

To combine like terms, identify terms that have the same variable raised to the same power and add or subtract their coefficients.

Front

Simplify the expression: 4(3x + 2)

Back

12x + 8

Front

What is a like term?

Back

Like terms are terms that have the same variable(s) raised to the same power.

Front

Simplify the expression: 2a + 3b - a + 4b

Back

a + 7b

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 the expression: 5(x + 2) - 3(x - 1)

Back

2x + 13

Front

What is the first step in applying the Distributive Property?

Back

The first step is to multiply the term outside the parentheses by each term inside the parentheses.

Front

Simplify the expression: 8y + 2(3y + 4) - 5y

Back

8y + 6y + 8 - 5y = 9y + 8

Front

What is the result of combining the like terms 3x and 5x?

Back

8x