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.

Front

How do you apply the Distributive Property to the expression 2(c - 8)?

Back

You multiply 2 by both c and -8, resulting in 2c - 16.

Front

Simplify the expression 8(5 + w) using the Distributive Property.

Back

You distribute 8 to both 5 and w, resulting in 40 + 8w.

Front

What is the result of applying the Distributive Property to 11(9 + d)?

Back

The result is 99 + 11d.

Front

How do you simplify (x - 6)4 using the Distributive Property?

Back

You distribute 4 to both x and -6, resulting in 4x - 24.

Front

What is the simplified form of 2(3v - 8)?

Back

The simplified form is 6v - 16.

Front

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

Back

Calculating total costs when buying multiple items, such as 3 packs of pencils at $2 each and 3 packs of erasers at $1 each.

Front

What does it mean to 'simplify' an expression?

Back

To simplify an expression means to combine like terms and reduce it to its most basic form.

Front

Can the Distributive Property be used with subtraction?

Back

Yes, the Distributive Property can be applied to expressions with subtraction, such as a(b - c) = ab - ac.

Front

What is the first step in using the Distributive Property?

Back

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