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

Factor the expression: 4x + 30y

Back

2(2x + 15y)

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 or factoring.

Front

Simplify the expression: -9x + 17x + (-8x)

Back

Zero

Front

Factor the expression: 21x - 36

Back

3(7x - 12)

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

Factor the expression: -5b + 25a - 40

Back

5(-b + 5a - 8)

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression.