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(x - 4)?

Back

You multiply 2 by both x and -4, resulting in 2x - 8.

Front

What is the result of distributing 10 in the expression 10(x - 20)?

Back

The result is 10x - 200.

Front

If you have the expression 3(2c - 5), what is the distributed form?

Back

The distributed form is 6c - 15.

Front

How do you express the total sales of 42 large candles and 23 small candles sold each week over 7 weeks?

Back

The expression is 7(42 + 23).

Front

What is the result of distributing ½ in the expression ½(8x + 2)?

Back

The result is 4x + 1.

Front

Can you give an example of using the Distributive Property with negative numbers?

Back

Yes, for example, -3(x + 4) = -3x - 12.

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

How does the Distributive Property help in simplifying expressions?

Back

It allows you to eliminate parentheses and combine like terms.

Front

What is the relationship between the Distributive Property and factoring?

Back

Factoring is the reverse process of distribution; you can factor out a common term from a distributed expression.