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 GCF stand for?

Back

GCF stands for Greatest Common Factor, which is the largest factor that two or more numbers share.

Front

How do you find the GCF of 36 and 24?

Back

The GCF of 36 and 24 is 12, as it is the largest number that divides both 36 and 24 without leaving a remainder.

Front

Factor the expression: 5x + 20

Back

5(x + 4)

Front

Factor the expression: 4x + 30y

Back

2(2x + 15y)

Front

Factor the expression: 36x + 24

Back

12(3x + 2)

Front

Factor the expression: 12x + 9

Back

3(4x + 3)

Front

Factor the expression: -6z + 42

Back

-6(z - 7)

Front

What is a linear expression?

Back

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

Front

What is the first step in factoring an expression?

Back

The first step is to identify the GCF of all the terms in the expression.