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 add linear expressions?

Back

To add linear expressions, combine like terms by adding their coefficients while keeping the variables the same.

Front

What is a like term?

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 sum of (6 - k) + (4k + 1)?

Back

3k + 7

Front

What is the sum of (−x + 8) + (−5x − 1)?

Back

−6x + 7

Front

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

Back

11x

Front

How do you simplify the expression -5(x + 4)?

Back

-5x - 20

Front

What is the simplified form of 7v + 2 + 12 + 2v?

Back

9v + 14

Front

What does it mean to simplify an expression?

Back

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

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 parentheses.