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 number by a sum by distributing the multiplication to each addend.

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 involved.

Front

How do you apply the Distributive Property to 3(4 + 5)?

Back

3(4 + 5) = 3*4 + 3*5 = 12 + 15 = 27.

Front

What is an equivalent expression for 2(x + 3)?

Back

2(x + 3) = 2x + 6.

Front

If you have 5(2x + 3y), what is the expanded form?

Back

5(2x + 3y) = 10x + 15y.

Front

What is the first step to simplify 4(3x + 2)?

Back

Multiply 4 by each term inside the parentheses: 4*3x + 4*2 = 12x + 8.

Front

Which expression is equivalent to 6(2x + 5)?

Back

6(2x + 5) = 12x + 30.

Front

What is the result of applying the Distributive Property to 7(3x + 4y)?

Back

7(3x + 4y) = 21x + 28y.

Front

How do you factor the expression 15x + 20y?

Back

15x + 20y = 5(3x + 4y).

Front

What is the equivalent expression for 10(x + 2)?

Back

10(x + 2) = 10x + 20.