Distributive Property and Equivalent Expressions

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 parenthesis.

Front

Simplify the expression: 5(3 + 4)

Back

5(3 + 4) = 5*3 + 5*4 = 15 + 20 = 35

Front

What does it mean for expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variables.

Front

Simplify the expression: 7(2 + x)

Back

7(2 + x) = 14 + 7x

Front

What is an equivalent expression for: 2d + 2d + 2?

Back

The equivalent expression is 4d + 2.

Front

Simplify the expression: 10(1 + 2y)

Back

10(1 + 2y) = 10*1 + 10*2y = 10 + 20y

Front

Which expression is equivalent to: 3v + 3v + 3?

Back

The equivalent expression is 6v + 3.

Front

Factor the expression: 12x - 4

Back

The factored expression is 4(3x - 1).

Front

What is the result of simplifying: 6(2 + 3) - 4?

Back

6(2 + 3) - 4 = 6*5 - 4 = 30 - 4 = 26.

Front

Simplify the expression: 4(3 + 2x) - 2x

Back

4(3 + 2x) - 2x = 12 + 8x - 2x = 12 + 6x.