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

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

Use the distributive property to find an equivalent expression: 5(2f + 4)

Back

10f + 20

Front

Use the distributive property to find an equivalent expression: 6(2x - 3)

Back

12x - 18

Front

Combine like terms: 3x + 5 + 7x + 2

Back

10x + 7

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. They can be combined by adding or subtracting their coefficients.

Front

Use the distributive property to find an equivalent expression: 12(5 - 4x)

Back

60 - 48x

Front

Use the distributive property to find an equivalent expression: 6(3y - 2y + 7)

Back

6y + 42

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 is the result of combining like terms: 4a + 3a - 2a?

Back

5a