Distributive Property and Equations

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

Apply the Distributive Property: 5(2 + 3)

Back

5(2 + 3) = 5*2 + 5*3 = 10 + 15 = 25.

Front

What is the result of 4(3x + 2)?

Back

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

Front

Fill in the blank: 2(3y + __) = 12y.

Back

2(3y + 3) = 12y.

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

Solve for x: 2(x + 4) = 16.

Back

x + 4 = 8, so x = 4.

Front

What is the first step in solving the equation 3(2x - 1) = 9?

Back

Distribute the 3: 6x - 3 = 9.

Front

What is the solution to the equation 6x - 3 = 9?

Back

6x = 12, so x = 2.

Front

Apply the Distributive Property: 7(2x - 4).

Back

7(2x - 4) = 14x - 28.

Front

What is the result of 3(4 + 5x)?

Back

3(4 + 5x) = 12 + 15x.