Factor 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 to factor a linear expression?

Back

Factoring a linear expression means rewriting it as a product of its factors, typically in the form of a constant multiplied by a linear binomial.

Front

Factor the expression: 33x − 55y + 77z

Back

11(3x − 5y + 7z)

Front

Factor the expression: 8m − 24

Back

4(2m − 6)

Front

Factor the expression: 6p − 36

Back

6(p − 6)

Front

Factor the expression: 21p + 7

Back

7(3p + 1)

Front

Factor the expression: 54x + 15y − 9

Back

3(18x + 5y − 3)

Front

What is the greatest common factor (GCF)?

Back

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

Front

How do you find the GCF of 33, 55, and 77?

Back

The GCF of 33, 55, and 77 is 11.

Front

What is a linear expression?

Back

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