Adding and Subtracting Linear Expressions

Front

What is a linear expression?

Back

A linear expression is an algebraic expression in which the highest exponent of the variable is one. For example, 3x + 2 is a linear expression.

Front

How do you add linear expressions?

Back

To add linear expressions, combine like terms by adding the coefficients of the same variable. For example, (3x + 2) + (2x + 5) = 5x + 7.

Front

What does it mean to simplify an expression?

Back

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

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

What is the perimeter of a figure?

Back

The perimeter of a figure is the total distance around the figure, calculated by adding the lengths of all its sides.

Front

How do you subtract linear expressions?

Back

To subtract linear expressions, distribute the negative sign and then combine like terms. For example, (5x + 3) - (2x + 1) = 3x + 2.

Front

What is the result of (3w - 8) + (-6w - 4)?

Back

The result is -3w - 12.

Front

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

Back

The result is 3k - 6.

Front

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

Back

The result is 5x + 6.

Front

What is the result of (10x + 2) - (8x - 4)?

Back

The result is 2x + 6.