Distributive Property

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a multiplier across terms inside parentheses.

Front

How do you apply the Distributive Property to the expression 9(x - 3)?

Back

To apply the Distributive Property, multiply 9 by each term inside the parentheses: 9 * x - 9 * 3 = 9x - 27.

Front

What is the result of applying the Distributive Property to 4(2x + 3)?

Back

The result is 4 * 2x + 4 * 3 = 8x + 12.

Front

What does the expression -2(3m + 9) simplify to using the Distributive Property?

Back

It simplifies to -2 * 3m - 2 * 9 = -6m - 18.

Front

When using the Distributive Property, what is the result of 8(x + 5)?

Back

The result is 8 * x + 8 * 5 = 8x + 40.

Front

How do you simplify -4(8r + 3) using the Distributive Property?

Back

You simplify it to -4 * 8r - 4 * 3 = -32r - 12.

Front

What is an example of a real-world application of the Distributive Property?

Back

Calculating total costs, such as finding the total price of multiple items where each item has a base price and additional costs.

Front

Can the Distributive Property be used with negative numbers?

Back

Yes, the Distributive Property can be applied to expressions with negative numbers, just as with positive numbers.

Front

What is the first step in applying the Distributive Property?

Back

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

Front

What is the importance of the Distributive Property in algebra?

Back

It allows for the simplification of expressions and is essential for solving equations.