Equivalent Expressions

Front

What is an equivalent expression?

Back

An equivalent expression is an expression that has the same value as another expression for all values of the variables involved.

Front

What does it mean to simplify an expression?

Back

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

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3h and 5h are 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 each term inside a parenthesis.

Front

What is the equivalent expression for 14h + 30k - 12h?

Back

2h + 30k

Front

What is the equivalent expression for 4h + (7 + 11h)?

Back

15h + 7

Front

What is the equivalent expression for 7s + 8t + 10s + 12t?

Back

17s + 20t

Front

What is the equivalent expression for 3(v - 2)?

Back

3v - 6

Front

Use the distributive property to generate an equivalent expression for 3.5(w + 7).

Back

3.5w + 24.5

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable.