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 is the greatest common factor (GCF)?

Back

The GCF is the largest factor that two or more numbers share. It is used in factoring to simplify expressions.

Front

Factor the expression: 12x + 9

Back

3(4x + 3)

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to reduce it to its simplest form by combining like terms and eliminating unnecessary parts.

Front

Simplify the expression: x + 1 + 3x

Back

4x + 1

Front

Factor the expression: 14x + 20

Back

2(7x + 10)

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 are like terms?

Back

Like terms are terms that have the same variable raised to the same power. They can be combined by adding or subtracting their coefficients.

Front

Simplify the expression: -9w + 7 - 4w - 16

Back

-13w - 9

Front

Factor the expression: 5x + 20

Back

5(x + 4)