# How to Solve and Graph One-Step Multiplication and Division Equations

This step-by-step guide for solving One-Step equations will teach you to solve and graph one-step multiplication and division equations with sample questions and solutions.

Solving one-step equations is an important math skill to help students find the value of a variable that makes an equation true.

For example, consider the equation 4x = 12. To solve for x, you only need to divide both sides of the equation by 4, which gives you x = 3.

## Steps to Solving & Graphing One-Step Multiplication and Division Equations

One-Step equations are ones that merely require one math operation to be solved.

You can use these four rules to solve one-step equations:

- Both sides stay equal if you
**add**the same number to both sides of an equation. - Both sides stay equal if you
**subtract**the same number from both sides of an equation. - Both sides stay equal if you
**divide**both sides of an equation by the same number. - Both sides stay equal if you
**multiply**both sides of an equation by the same number.

Here is a step-by-step guide to solving one-step multiplication and division equations:

### Step 1: Identify the variable and the operation

Determine which variable you are trying to solve for and identify whether the operation in the equation is addition, subtraction, multiplication, or division.

### Step 2: Isolate the variable

Use inverse operations to isolate the variable on one side of the equation. If the operation is multiplication, divide both sides of the equation by the constant. If the operation is divided, multiply both sides of the equation by the constant.

### Step 3: Check your solution

Plug in your solution to the original equation to ensure it is correct.

## Sample Questions of One-Step Multiplication and Division Equations

### Examples 1 – solve the equation and graph the solution

Solve the equation. And graph the solution, \(\frac{x}{2}=5\)

#### Solution

Use inverse operations for \(x\) to solve the equation.

Since x is divided by 2 in this equation, its inverse is multiplied by 2 on both sides. \(\frac{x}{2}×2=5×2→x=10\). Now, graph 10 on the number line.

### Examples 2 – solve the equation and graph the solution

Solve the equation. And graph the solution \(9v=27\)

#### Solution

Use inverse operations for v to solve the equation.

Since v is multiplied by 9 in this equation, then its inverse is divided by 9 into both sides, \(\frac{9v}{9}=\frac{27}{9}→x=3\). Now, graph \(x=3\) on the number line.

## Related to This Article

### More math articles

- Top 10 6th Grade NYSE Math Practice Questions
- The Best Scientific Calculator to Buy for School and Work
- Dual Degree Programs: A Complete Guide
- Top 5 Calculators for Geometry
- SAT And ACT Tests Hacks and Tips
- How to Solve Word Problems of Elapsed Time
- 8th Grade PARCC Math FREE Sample Practice Questions
- The Butterfly Effect in Mathematics: Small Changes, Big Impact
- How to Solve Word Problems Involving the One-Step Equation
- AFOQT Math Formulas

## What people say about "How to Solve and Graph One-Step Multiplication and Division Equations - Effortless Math: We Help Students Learn to LOVE Mathematics"?

No one replied yet.