Chapter 3.2 Adding & Subtracting 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

What is the process for subtracting linear expressions?

Back

To subtract linear expressions, distribute the negative sign to the terms of the expression being subtracted, then combine like terms.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power, allowing their coefficients to be combined.

Front

What is the sum of (2a - 3) + (5a - 6)?

Back

The sum is 7a - 9.

Front

What is the sum of (7q + 1) + (9q - 13)?

Back

The sum is 16q - 12.

Front

What is the difference between (5h + 7) - (9h - 6)?

Back

The difference is -4h + 13.

Front

How do you simplify the expression (10x - 1) - (4x + 5)?

Back

First, distribute the negative sign: (10x - 1) - 4x - 5 = 10x - 4x - 1 - 5 = 6x - 6.

Front

What is the difference between (6d - 2) - (3d + 2)?

Back

The difference is 3d - 4.

Front

What is the importance of combining like terms in linear expressions?

Back

Combining like terms simplifies expressions, making them easier to work with and understand.