Distributive Property and Factoring with Variables

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Tags

CCSS.6.EE.A.3

Front

Simplify: 5(x + 3)

Back

5x + 15

Tags

CCSS.6.EE.A.3

Front

What is a coefficient?

Back

A coefficient is a number that is multiplied by a variable in an algebraic expression.

Tags

CCSS.6.EE.A.2B

Front

Simplify: 4(2y - 5)

Back

8y - 20

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CCSS.6.EE.A.3

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler components that, when multiplied together, give the original expression.

Front

Factor: 12x + 16

Back

4(3x + 4)

Tags

CCSS.7.EE.A.1

Front

What is the result of applying the Distributive Property to 3(a + 2b)?

Back

3a + 6b

Tags

CCSS.6.EE.A.3

Front

Simplify: 6(2m + 1) - 4m

Back

12m + 6 - 4m = 8m + 6

Tags

CCSS.6.EE.A.3

Front

Factor: 20y - 5

Back

5(4y - 1)

Tags

CCSS.7.EE.A.1

Front

What is the first step in factoring the expression 18x + 27?

Back

Identify the greatest common factor, which is 9.

Tags

CCSS.7.EE.A.1