Factor, Add and Subtract Expressions

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest number that divides two or more numbers without leaving a remainder.

Front

How do you factor out the GCF from the expression 3x + 15?

Back

3(x + 5)

Front

What does it mean to factor an expression?

Back

Factoring an expression means rewriting it as a product of its factors.

Front

Can the expression 15x + 22 be factored?

Back

No, it cannot be factored because 15 and 22 have no common factors.

Front

What is the result of adding the expressions (3x + 15) + (4x + 13)?

Back

7x + 28

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

How do you identify the GCF of 22x - 220?

Back

The GCF is 22, so you can factor it out to get 22(x - 10).

Front

What is the result of subtracting the expression (4x + 13) from (3x + 15)?

Back

-x + 2

Front

What is the purpose of factoring expressions?

Back

Factoring simplifies expressions and makes it easier to solve equations.

Front

What is the result of adding the expressions (2x + 3) + (5x - 4)?

Back

7x - 1