Distributive Property

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 or difference.

Front

Apply the Distributive Property: 3(2 + 5)

Back

3(2 + 5) = 3*2 + 3*5 = 6 + 15 = 21.

Front

Use the Distributive Property to simplify: 4(3x + 2)

Back

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

Front

What is the result of applying the Distributive Property to: 5(4j + 2 + 8k)?

Back

5(4j + 2 + 8k) = 5*4j + 5*2 + 5*8k = 20j + 10 + 40k.

Front

Simplify using the Distributive Property: -2(1 + 10v)

Back

-2(1 + 10v) = -2*1 + -2*10v = -2 - 20v.

Front

What is the simplified form of 5(a + 6)?

Back

5(a + 6) = 5*a + 5*6 = 5a + 30.

Front

Use the Distributive Property to solve: 9(3w + 1)

Back

9(3w + 1) = 9*3w + 9*1 = 27w + 9.

Front

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

Back

4(2 + 2) = 4*4 = 16.

Front

What does it mean to distribute in mathematics?

Back

To distribute means to multiply each term inside the parentheses by the factor outside.

Front

Apply the Distributive Property: 6(x + 4)

Back

6(x + 4) = 6*x + 6*4 = 6x + 24.