Add and Subtract Linear Expressions

Front

What is a linear expression?

Back

A linear expression is an algebraic expression in which each term is either a constant or the product of a constant and a single variable raised to the first power.

Front

How do you add linear expressions?

Back

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

Front

How do you subtract linear expressions?

Back

To subtract linear expressions, distribute the negative sign and then combine like terms.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is the result of (-4x - 2) - (-13x + 1)?

Back

-17x - 3

Front

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

Back

-4x + 7

Front

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

Back

4x - 9

Front

What is the result of (2x - 4) + (-x + 9)?

Back

x + 5

Front

What is the result of (3x - 1) - (-5x + 17)?

Back

8x - 18

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 each term inside a parenthesis.