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

You multiply 8 by each term inside the parentheses: 8 * x = 8x and 8 * 5 = 40, resulting in 8x + 40.

Front

When using the Distributive Property on 5(a + 6), what is the simplified expression?

Back

You multiply 5 by each term: 5 * a = 5a and 5 * 6 = 30, resulting in 5a + 30.

Front

What is the outcome of applying the Distributive Property to 2(c - 8)?

Back

You multiply 2 by each term: 2 * c = 2c and 2 * -8 = -16, resulting in 2c - 16.

Front

How can the Distributive Property help in simplifying expressions?

Back

It allows you to eliminate parentheses and combine like terms, making expressions easier to work with.

Front

What is an example of a negative term in the Distributive Property?

Back

In the expression 3(2c - 5), -5 is a negative term that affects the outcome when distributed.

Front

Can the Distributive Property be used with variables?

Back

Yes, the Distributive Property can be applied to expressions with variables, such as 4(x + 2) = 4x + 8.

Front

What happens if you distribute a negative number, such as -2, in the expression -2(x + 3)?

Back

You multiply -2 by each term: -2 * x = -2x and -2 * 3 = -6, resulting in -2x - 6.

Front

What is the first step in using the Distributive Property?

Back

Identify the term outside the parentheses and the terms inside the parentheses that need to be multiplied.