Adding Linear Expressions

Front

What is a linear expression?

Back

A linear expression is an algebraic expression in which the highest power of the variable is one. It can be written in the form ax + b, where a and b are constants.

Front

How do you combine like terms in linear expressions?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable raised to the same power.

Front

What is the sum of (-m + 3) + (7m – 1)?

Back

6m + 2

Front

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

Back

−6x + 7

Front

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

Back

5x + 6

Front

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

Back

5x + 4

Front

What is the sum of (3d - 5) + (d + 3)?

Back

4d - 2

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and 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 two or more terms inside a parenthesis.

Front

How do you apply the distributive property to 2(x + 3)?

Back

2(x + 3) = 2x + 6.