Factoring Linear Expressions

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that two or more numbers share. It is used to factor expressions by dividing each term by the GCF.

Front

How do you factor the expression 12x + 9?

Back

The expression can be factored as 3(4x + 3) by taking out the GCF, which is 3.

Front

What is the factored form of 14x + 20?

Back

The factored form is 2(7x + 10), where 2 is the GCF.

Front

How do you factor the expression 36x + 24 using the GCF?

Back

The expression can be factored as 12(3x + 2) by taking out the GCF, which is 12.

Front

What is the factored form of 4x + 30y?

Back

The factored form is 2(2x + 15y), where 2 is the GCF.

Front

Can the expression 7x + 48y be factored?

Back

No, the expression cannot be factored further as there is no common factor.

Front

What is the first step in factoring a linear expression?

Back

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

Front

Why is factoring important in algebra?

Back

Factoring is important because it simplifies expressions, making it easier to solve equations and understand relationships between variables.

Front

What does it mean if an expression cannot be factored?

Back

If an expression cannot be factored, it means there are no common factors among the terms, or it is already in its simplest form.