Distribute and Combine Like Terms

Front

What does it mean to combine like terms in an expression?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

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

Simplify the expression: 7 + 3(1 - 2x)

Back

10 - 6x

Front

What is a like term?

Back

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

Front

Simplify the expression: -6x + 4(-x - 3)

Back

-10x - 12

Front

What is the first step in simplifying an expression using 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: 2(4 + 9w)

Back

8 + 18w

Front

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

Back

8x

Front

Simplify the expression: 6 + 2(7x - 3)

Back

12 + 14x

Front

What is the purpose of simplifying expressions?

Back

The purpose is to make expressions easier to work with and to solve equations more efficiently.