Equivalent Expressions Distributive Property & Factoring

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum by distributing the multiplication to each addend.

Tags

CCSS.3.OA.B.5

Front

What is a Greatest Common Factor (GCF)?

Back

The GCF of two or more numbers is the largest number that divides all of them without leaving a remainder.

Front

How do you find the GCF of 24 and 56?

Back

The GCF of 24 and 56 is 8.

Front

Factor the expression 8x - 10.

Back

2(4x - 5)

Tags

CCSS.7.EE.A.1

Front

Rewrite the expression 54 + 90 using the GCF and Distributive Property.

Back

18(3 + 5)

Tags

CCSS.6.NS.B.4

Front

What is the first step in using the Distributive Property?

Back

Identify the common factor in the terms you want to factor.

Tags

CCSS.7.EE.A.1

Front

If you have the expression 10 + 20 = 2(5 + __), what is the missing number?

Back

10

Tags

CCSS.6.EE.B.5

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler expressions that can be multiplied together to get the original expression.

Front

How can you check if your factored expression is correct?

Back

You can check by distributing the factors back to see if you get the original expression.

Front

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

Back

For example, 3(4 + 5) = 3*4 + 3*5 = 12 + 15 = 27.

Tags

CCSS.3.OA.B.5