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 -7(w - 4)?

Back

You multiply -7 by both w and -4, resulting in -7w + 28.

Front

What is the result of simplifying the expression -7(w - 4) + 3w - 27?

Back

The result is -4w + 1.

Front

How do you simplify the expression 6(x + 1) - 5(x + 2)?

Back

Distributing gives 6x + 6 - 5x - 10, which simplifies to x - 4.

Front

What is the result of applying the Distributive Property to 3(2c - 5)?

Back

The result is 6c - 15.

Front

Fill in the blank: 2(x + 7) = 2x + __

Back

14.

Front

What is the equivalent expression for e(f + g) using the Distributive Property?

Back

The equivalent expression is ef + eg.

Front

What is the first step in using the Distributive Property on an expression?

Back

Identify the term outside the parentheses and the terms inside the parentheses.

Front

Can the Distributive Property be used with subtraction?

Back

Yes, the Distributive Property applies to both addition and subtraction.

Front

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

Back

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