Adding 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 combine like terms in a linear expression?

Back

To combine like terms, you add or subtract the coefficients of terms that have the same variable raised to the same power.

Front

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

Back

The result is 5x + 6.

Front

What is the sum of (-m + 3) and (7m - 1)?

Back

The sum is 6m + 2.

Front

How do you simplify the expression (3d - 5) + (d + 3)?

Back

You combine like terms to get 4d - 2.

Front

What is the first step in adding two linear expressions?

Back

The first step is to remove parentheses if they are present.

Front

What is the sum of 2(x + 3) and (3x - 2)?

Back

The sum is 5x + 4.

Front

How do you handle negative coefficients when adding linear expressions?

Back

You treat negative coefficients as you would positive ones, ensuring to combine like terms correctly.

Front

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

Back

The result is −6x + 7.

Front

What does it mean to 'simplify' an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.