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

What does it mean to add linear expressions?

Back

Adding linear expressions involves combining like terms to simplify the expression.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power.

Front

How do you combine like terms in the expression (3x + 5) + (2x + 1)?

Back

Combine the coefficients of like terms: (3x + 2x) + (5 + 1) = 5x + 6.

Front

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

Back

3k - 6.

Front

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

Back

-3w - 12.

Front

How do you subtract linear expressions?

Back

To subtract linear expressions, distribute the negative sign and then combine like terms.

Front

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

Back

-2a + 2.

Front

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

Back

4x - 8.

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.