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

What does it mean to add linear expressions?

Back

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

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 2x and 3x are like terms.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract their coefficients while keeping the variable part the same. For example, 2x + 3x = 5x.

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

Simplify: 2(x + 3) + 3(3x - 2)

Back

11x.

Front

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

Back

5x + 6.

Front

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

Back

6m + 2.

Front

What is the result of (6 - k) + (4k + 1)?

Back

3k + 7.

Front

What is the first step in adding linear expressions?

Back

The first step is to remove parentheses using the distributive property if necessary.