Simplifying Expressions Test Review

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: 5(b + 8)

Back

5b + 40

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, while 3x and 4y are not.

Front

Combine like terms: 3x + 2x + 3y − 7y

Back

5x − 4y

Front

What is the process of combining like terms?

Back

Combining like terms involves adding or subtracting coefficients of terms that have the same variable. For example, 3x + 2x = 5x.

Front

Simplify: 3 + 12c − 4c

Back

8c + 3

Front

What is the coefficient in an expression?

Back

A coefficient is a numerical factor in a term. For example, in 5x, 5 is the coefficient.

Front

Simplify: 8(4b−5)

Back

32b−40

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by combining like terms and applying the distributive property.

Front

Simplify: 2(3v−8)

Back

6v−16