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 variable(s) involved.

Front

Simplify the expression: 30x - 24

Back

6(5x - 4)

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

Simplify: 6m - m

Back

5m

Front

What are like terms?

Back

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

Front

Simplify: 3(9 + 2d) + 4d

Back

27 + 10d

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

Front

Which expression is equivalent to 10x - 16?

Back

8(2x - 2) - 6x

Front

What is the result of applying the distributive property to 6(3y - 2y + 7)?

Back

6y + 42

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an expression.