Distributive Property (Algebraic 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

Simplify the expression: 8(5 + w)

Back

40 + 8w

Front

Which of the following is equivalent to 5(2x + 6)?

Back

10x + 30

Front

Find an equivalent expression for the given expression: 36x + 24

Back

2(18x + 12)

Front

Solve using distributive property: 3(x - 6)

Back

3x - 18

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form, combining like terms and eliminating parentheses.

Front

If a = 4, what is the value of 2(a + 3)?

Back

14

Front

What is a like term?

Back

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

Front

What is the first step in using the Distributive Property?

Back

The first step is to multiply the term outside the parentheses by each term inside the parentheses.

Front

Simplify: 4(3x + 2)

Back

12x + 8