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

Simplify the expression: 5(2x + 4).

Back

10x + 20.

Front

Is the expression 5(2x + 4) equivalent to 20 + 10x?

Back

False.

Front

Which expression is equivalent to 5(4x + 3)?

Back

20x + 15.

Front

Simplify the expression: 4(5x + 3) - 4x.

Back

16x + 12.

Front

Use the distributive property to simplify: 2(6 - 8e).

Back

12 - 16e.

Front

Which expression is equivalent to 2(-18x - 12)?

Back

-36x - 24.

Front

What does it mean for two expressions to be equivalent?

Back

It means they yield the same result for any value of the variable(s) when evaluated.

Front

If 3(x + 2) = 3x + 6, what property is being used?

Back

The distributive property.