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 -2(3m + 9)?

Back

You multiply -2 by each term inside the parentheses: -2 * 3m = -6m and -2 * 9 = -18, resulting in -6m - 18.

Front

Simplify the expression using the Distributive Property: 9(x - 5).

Back

Distributing 9 gives: 9 * x - 9 * 5 = 9x - 45.

Front

What is the result of applying the Distributive Property to 2(4 + 9w)?

Back

Distributing 2 gives: 2 * 4 + 2 * 9w = 8 + 18w.

Front

Which expression is equivalent to 2(c - 8)?

Back

Using the Distributive Property, 2(c - 8) = 2c - 16.

Front

What is the first step in using the Distributive Property?

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 can be applied to both addition and subtraction.

Front

If a = 3 and b = 4, what is the result of 2(a + b) using the Distributive Property?

Back

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

Front

What is the simplified form of -4(2x + 5)?

Back

Distributing -4 gives: -4 * 2x - 4 * 5 = -8x - 20.

Front

How does the Distributive Property help in solving equations?

Back

It allows you to simplify expressions by eliminating parentheses, making it easier to combine like terms.