Factoring Linear Expressions

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest factor that two or more numbers have in common.

Front

Factor: 12x + 9

Back

3(4x + 3)

Tags

CCSS.7.EE.A.1

Front

Factor: 56 - 35p

Back

7(8 - 5p)

Tags

CCSS.7.EE.A.1

Front

Factor: 17xy - x

Back

x(17y - 1)

Front

Factor: 3 + 6x

Back

3(1 + 2x)

Tags

CCSS.7.EE.A.1

Front

Factor Completely: -9u - 81

Back

-9(u + 9)

Tags

CCSS.7.EE.A.1

Front

What does it mean to factor completely?

Back

Factoring completely means breaking down an expression into its simplest factors, with no further factoring possible.

Front

What is a linear expression?

Back

A linear expression is an algebraic expression in which the highest power of the variable is one.

Tags

CCSS.6.EE.A.2C

Front

What is the difference between factoring and expanding?

Back

Factoring is breaking down an expression into products, while expanding is multiplying out the factors to get the original expression.