Adding and Subtracting 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 an expression?

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 distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a parenthesis.

Front

Simplify the expression: 3x + 4x.

Back

7x

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to reduce it to its simplest form by combining like terms and eliminating parentheses.

Front

Write a linear expression for: A person has $50 and earns $10 per hour.

Back

10x + 50

Front

What is the sum of the expressions: 2x + 3 and 4x + 5?

Back

6x + 8

Front

If you have the expression 5(x + 2), what is its simplified form?

Back

5x + 10

Front

What is the result of subtracting the expression (2x + 3) from (5x + 7)?

Back

3x + 4

Front

How do you represent a situation where someone collects 3 items a week starting with 10 items?

Back

3x + 10