Distributive Property

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum or difference.

Front

How do you apply the Distributive Property to the expression 3(2c - 5)?

Back

You multiply 3 by each term inside the parentheses: 3 * 2c = 6c and 3 * -5 = -15, resulting in 6c - 15.

Front

Factor the expression 6B - 6C using the Distributive Property.

Back

6B - 6C can be factored as 6(B - C).

Front

What is the result of applying the Distributive Property to 2(x + 7)?

Back

The result is 2x + 14.

Front

How do you simplify the expression 8(x + 5) - 4(x + 4)?

Back

First, distribute: 8x + 40 - 4x - 16. Then combine like terms: (8x - 4x) + (40 - 16) = 4x + 24.

Front

What is the first step in simplifying -7(w - 4) + 3w - 27?

Back

Distribute -7 to both terms in the parentheses: -7w + 28 + 3w - 27.

Front

What do you get when you combine like terms in the expression -7(w - 4) + 3w - 27?

Back

You get -4w + 1 after combining -7w + 3w and 28 - 27.

Front

What is the importance of the Distributive Property in algebra?

Back

The Distributive Property is important because it allows for the simplification of expressions and the solving of equations by distributing factors.

Front

Can the Distributive Property be used with subtraction?

Back

Yes, the Distributive Property can be used with subtraction, as in a(b - c) = ab - ac.

Front

What is an example of using the Distributive Property with negative numbers?

Back

For example, -2(3 - x) = -6 + 2x.