Solving One-Step Equations
(Includes Negative Solutions)
Objectives:
- Solve for an unknown value in one-step equations including both a negative or positive solution.
- Check your work by plugging your answer into the original one-step equation.
What is a one-step equation?
A one-step equation is called "one-step" because it takes only one inverse operation to solve for the unknown value in the equation.
A one-step equation is called "one-step" because it takes only one inverse operation to solve for the unknown value in the equation.
Let's take a look at the four different types of one-step equations that you will be solving:
Four Different Types of One-Step Equations
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Looking above, you have previously learned how to solve one-step equations with positive solutions because the value of "a" and "b" were positive integers. This time you will learn how to solve one-step equations that have negative or positive solutions because the value of "a" and "b" can be negative integers.
Before we look at some examples you will need to recap the addition, subtraction, multiplication, and division rules because these rules will come in handy when solving one-step equations with negative solutions.
Before we look at some examples you will need to recap the addition, subtraction, multiplication, and division rules because these rules will come in handy when solving one-step equations with negative solutions.
Recap of the Addition/Subtraction, Multiplication, and Division Rules
Now that we have refreshed our minds on the rules, we can look at some examples!
Examples of Solving One-Step Equations
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Your Turn
Solve the following one-step equations by solving for x:
