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 and keeping the constant terms together.

Front

What is the result of (x + 4) + (3x + 9)?

Back

The result is 4x + 13.

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 is the result of (2x + 3) + (x + 4)?

Back

The result is 3x + 7.

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 (3x + 8) - 6(2.5x - 3)?

Back

The result is -12x + 26.

Front

How do you simplify the expression (-4x + 3) + (-2x + 8)?

Back

Combine like terms to get -6x + 11.

Front

What is the result of (6x + 3y + 4) – (8x + 9y)?

Back

The result is -2x - 6y + 4.

Front

What are coefficients in a linear expression?

Back

Coefficients are the numerical factors that multiply the variables in a linear expression.