Adding and 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 does it mean to subtract linear expressions?

Back

Subtracting linear expressions involves distributing the negative sign and then combining like terms.

Front

What are like terms in algebra?

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 result of adding (3x + 5) and (2x + 1)?

Back

The result is 5x + 6.

Front

How do you simplify the expression (10x + 2) - (8x - 4)?

Back

First, distribute the negative sign: (10x + 2) - 8x + 4, then combine like terms to get 2x + 6.

Front

What is the sum of (7k - 9) and (-4k + 3)?

Back

The sum is 3k - 6.

Front

How do you find the sum of (3w - 8) and (-6w - 4)?

Back

Combine like terms: (3w - 6w) + (-8 - 4) = -3w - 12.

Front

What is the result of adding (−x + 8) and (−5x − 1)?

Back

The result is −6x + 7.

Front

What is the importance of combining like terms in algebra?

Back

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