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 is the greatest common factor (GCF)?

Back

The GCF is the largest factor that two or more numbers have in common.

Front

Factor the expression: 50x - 60y

Back

10(5x - 6y)

Front

True or False? 2x + 6 = 2(x + 3)

Back

True

Front

Factor the expression: 36x + 45

Back

9(4x + 5)

Front

Factor the expression: 4x + 30

Back

2(2x + 15)

Front

Factor the expression: 8x + 40

Back

8(x + 5)

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by combining like terms and removing parentheses.

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 is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.