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

How do you subtract linear expressions?

Back

To subtract linear expressions, distribute the negative sign to the terms in 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. They can be combined through addition or subtraction.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

What is the result of (5x - 6) - (x + 2)?

Back

The result is 4x - 8.

Front

What is the result of (7a + 4) - (9a + 2)?

Back

The result is -2a + 2.

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.

Front

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

Back

The result is 3k - 6.