Adding, Subtracting and Factoring Linear Expressions

Front

What is a linear expression?

Back

A linear expression is an algebraic expression in which the highest power of the variable is one. It can be written in the form ax + b, where a and b are constants.

Front

How do you factor a linear expression?

Back

To factor a linear expression, you look for the greatest common factor (GCF) of the terms and express the expression as a product of the GCF and the remaining terms.

Front

Factor completely: 16 + 24x

Back

8 (2 + 3x)

Front

What is the process of adding linear expressions?

Back

To add linear expressions, combine like terms by adding the coefficients of the same variable.

Front

Add the expressions: (x-1) + (2x+3)

Back

3x + 2

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 parenthesis.

Front

Add the expressions: (3x + 5) + (2x + 3)

Back

5x + 8

Front

What does it mean to factor an expression completely?

Back

Factoring an expression completely means breaking it down into its simplest form, where no further factoring is possible.

Front

Factor completely: -3 + 6x

Back

-3 (1 + 2x)

Front

What is a coefficient in a linear expression?

Back

A coefficient is a numerical factor that multiplies a variable in an expression, such as the '3' in 3x.