Factoring Linear Expressions

Front

What is factoring in mathematics?

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 the expression: 17xy - x

Back

x(17y - 1)

Tags

CCSS.7.EE.A.1

Front

Factor the expression: 4x + 30y

Back

2(2x + 15y)

Tags

CCSS.7.EE.A.1

Front

Factor the expression: 12x + 9

Back

3(4x + 3)

Tags

CCSS.7.EE.A.1

Front

Factor the expression: 12x - 20

Back

4(3x - 5)

Tags

CCSS.7.EE.A.1

Front

What does it mean for an expression to be factorable?

Back

An expression is factorable if it can be expressed as a product of two or more factors.

Front

Is the expression 3(2x - 4) simplified correctly to 6x - 4?

Back

No, the correct simplification is 6x - 12.

Tags

CCSS.6.EE.A.3

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 a term and a factor?

Back

A term is a single mathematical expression, while a factor is a number or expression that divides another number or expression evenly.

Tags

CCSS.6.EE.A.2B