Distributive Property with 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: 2(3 + 4)

Back

2(3 + 4) = 2*3 + 2*4 = 6 + 8 = 14.

Front

Solve the equation using the Distributive Property: 2(4k + 7)

Back

8k + 14.

Front

What is the first step to solve the equation -6(5x + 3) = 132?

Back

Distribute -6 to both terms inside the parentheses: -30x - 18 = 132.

Front

What is the solution to the equation -6(5x + 3) = 132?

Back

x = -5.

Front

Solve the equation: 3(x + 5) = 12

Back

x = -1.

Front

What is the solution to the equation 3(2x + 7) = 27?

Back

x = 1.

Front

Using the Distributive Property, rewrite the equation 3(x + 5) = 12.

Back

3x + 15 = 12.

Front

What is the result of applying the Distributive Property to 4(2x - 3)?

Back

8x - 12.

Front

If a = 2 and b = 3, what is the result of 2(a + b)?

Back

2(2 + 3) = 10.