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 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

What is the result of applying the Distributive Property to 8(x + 5)?

Back

Distributing 8 gives you 8 * x + 8 * 5 = 8x + 40.

Front

If you have the expression 2(c - 8), what is the simplified form after applying the Distributive Property?

Back

Distributing 2 gives you 2 * c - 2 * 8 = 2c - 16.

Front

What does it mean to simplify an expression using the Distributive Property?

Back

It means to rewrite the expression in a more compact form by eliminating parentheses and combining like terms.

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 result of applying the Distributive Property to -4(3x - 2)?

Back

Distributing -4 gives you -4 * 3x + -4 * -2 = -12x + 8.

Front

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

Back

Distributing -2 gives you -2 * 5 + -2 * -x = -10 + 2x.

Front

What is the first step in using the Distributive Property?

Back

Identify the term outside the parentheses and multiply it by each term inside the parentheses.

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 different price.