Distributive Property with Negatives

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

Simplify the expression: 3(4x + 2)

Back

12x + 6

Front

Evaluate the expression: 2(3x - 5)

Back

6x - 10

Front

Evaluate the expression: -4(5x + 1)

Back

-20x - 4

Front

Evaluate the expression: -5(4x + 3)

Back

-20x - 15

Front

Simplify the expression: 5(2x - 3)

Back

10x - 15

Front

What happens when you distribute a negative number?

Back

When you distribute a negative number, you change the signs of the terms inside the parentheses. For example, -a(b + c) = -ab - ac.

Front

If a = 2, simplify: 3(a + 4)

Back

18

Front

If x = -1, evaluate: -2(3x + 5)

Back

-4

Front

What is the result of distributing -3 in the expression -3(2x - 4)?

Back

-6x + 12