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 does it mean if an expression can't be factored?

Back

It means that there are no two or more expressions that can be multiplied together to produce the original expression.

Front

Factor the expression: 7x + 48y

Back

can't be factored

Front

Factor the expression: 12x - 20

Back

4(3x - 5)

Front

Factor the expression: 12x + 9

Back

3(4x + 3)

Front

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

Back

No

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

Front

Simplify by distributing: 3(-6x-3)

Back

-18x-9

Front

What is a common factor?

Back

A common factor is a number or expression that divides two or more numbers or expressions evenly.

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest factor that two or more numbers or expressions share.