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.

Tags

CCSS.6.EE.A.3

Front

How do you apply the Distributive Property to the expression 9(5c + 4)?

Back

You multiply 9 by each term inside the parentheses: 9 * 5c + 9 * 4 = 45c + 36.

Tags

CCSS.6.EE.A.3

Front

What is the result of applying the Distributive Property to 5(4j + 2)?

Back

The result is 20j + 10.

Tags

CCSS.6.EE.A.3

Front

If you have the expression 3(2c - 5), what is the simplified form after applying the Distributive Property?

Back

The simplified form is 6c - 15.

Tags

CCSS.6.EE.A.3

Front

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

Back

It means to expand the expression by multiplying each term inside the parentheses by the factor outside.

Tags

CCSS.6.EE.A.3

Front

What is the equivalent expression for 5(2x + 6) using the Distributive Property?

Back

The equivalent expression is 10x + 30.

Tags

CCSS.6.EE.A.3

Front

How do you simplify 10(3y + 1) using the Distributive Property?

Back

You multiply 10 by each term: 10 * 3y + 10 * 1 = 30y + 10.

Tags

CCSS.6.EE.A.3

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.

Tags

CCSS.6.EE.A.3

Front

What is an example of using the Distributive Property with negative numbers?

Back

For example, -2(3 - 4) = -2 * 3 + -2 * -4 = -6 + 8 = 2.

Tags

CCSS.7.NS.A.2C

Front

What is the first step in applying the Distributive Property?

Back

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

Tags

CCSS.6.EE.A.3