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## Algebra (all content)

### Course: Algebra (all content) > Unit 2

Lesson 4: One-step multiplication & division equations- One-step division equations
- One-step multiplication equations
- One-step multiplication & division equations
- One-step multiplication & division equations
- One-step multiplication & division equations: fractions & decimals
- One-step multiplication & division equations: fractions & decimals
- One-step equations review

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# One-step equations review

A one-step equation is an algebraic equation you can solve in only one step. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.

## What are one-step equations?

A

**one-step equation**is an algebraic equation you can solve in only one step. Once you've solved it, you've found the value of the variable that makes the equation true.To solve one-step equations, we do the inverse (opposite) of whatever operation is being performed on the variable, so we get the variable by itself. The inverse operations are:

- Addition and subtraction
- Multiplication and division

The most important thing to remember is that whatever you do to one side of the equation, you have to do the same thing to the other side.

*Want to learn more about solving one-step equations? Check out this video.*

### Example: One-step equation with addition

**Solve for**$k$ in the following equation:

We want to get $k$ by itself on the left hand side of the equation. Right now $k$ has $18$ added to it, so we want to do the inverse and $18$ from both sides of the equation. Here's what that looks like:

*subtract*### Example: One-step equation with division

**Solve for**$x$ in the following equation:

We want to get $x$ by itself on the left hand side of the equation. Right now $x$ is being divided by $4$ , so we want to do the inverse and $4$ on both sides of the equation. Here's what that looks like:

*multiply*by## Want to join the conversation?

- Why doesn't it have example subtraction and multiplication.(14 votes)
- The reason is because their is no inverse operation with subtraction and multiplication.(1 vote)

- everthing is explained if you just proceed to the next lesson(5 votes)
- Can you please help my dd is mad at me cause he thinks i cant do it.(5 votes)
- why is there no example of multiplication?(4 votes)
- This is easy because this is one step equation and you should try 2 step equations.(4 votes)
- why is this so easy(3 votes)
- I still don't understand(2 votes)
- A one-step equation is an algebraic equation you can solve in only one step. Once you've solved it, you've found the value of the variable that makes the equation true. To solve one-step equations, we do the inverse (opposite) of whatever operation is being performed on the variable, so we get the variable by itself.(3 votes)

- IDK about yall but this is SOOOO easy! I honestly love it now!XD Listen I HATED Math until now....Well, other Math:) Thanks Sal!!(3 votes)
- Why is it not saying I completed it?(3 votes)
- A year late but better late then never. Did you try doing the questions at the bottom? That might be
`th`

e rea`son w`

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(1 vote)

- i need help with 3/7k-12/35(2 votes)