Multi Step Equations Worksheet

Are you struggling with solving multi-step equations and feeling overwhelmed staring at an algebraic equation, and wondering where to even begin? It is the problem of every student. The multi-step equations involve more than two operations, which can confuse the learner. 

If you are facing the same challenge, a multi-step equations worksheet can help you build confidence and enhance problem-solving skills. Our comprehensive worksheet collection is designed to help you solve the tricky questions in simple steps. 

What are Multi-Step Equations 

The multi-step equations are algebraic equations that need two or more mathematical operations to solve for the unknown variable. 

These equations can be solved by applying the order of operations in reverse, also known as reverse PEMDAS. It means we have to apply addition and subtraction first, multiplication and division later. It includes combining like terms and using the distributive property to isolate the variable.   

How to Solve Multi-Step Equations 

To solve a multi-step equation, your goal is to isolate the variable on one side of the equal sign. You can achieve this by simplifying each side of the equation and using inverse operations in the reverse order of operations.

Steps to solve multi-step equations

Step 1: Simplify each side of the equation.

The first step in solving multi-step equations is to clean up each side of the equation by clearing any parentheses and combining like terms. 

• Clear parentheses: Use the distributive property to multiply the number outside the parentheses by each term inside it.
• Combine like terms: Add or subtract any terms on the same side that contain the same variable or are both constants. 

Step 2: Get all variables on one side

If the variable appears on both sides of the equation, use inverse operations to move all variable terms to a single side. It is often easiest to move the term with the smaller coefficient. 

Step 3: Isolate the variable term

After all variables are on one side, move any constant terms to the other side of the equation. Do this by using the inverse operation of addition or subtraction. 

Step 4: Solve for the variable.

The final step is to get the variable completely by itself. Use the inverse operation of multiplication or division to remove the coefficient from the variable. 

Step 5: Check your solution.

To confirm your answer is correct, substitute the value you found for the variable back into the original equation. If both sides of the equation are equal, your solution is correct. 

Example 

Solve the equation 2 (x - 2) - 6 = 8x + 10

Solution 

Apply the distributive property to clear the parentheses.

2x-4-6=8x+10

Combine the like terms

3x-10=8x+10

Get the variables on the left side and the constant on the right side. 

3x-8x=10+10

-5x=20

Now, isolate the variable

x=-5/20

x=-¼

So, we solved the multi-step equations. 

Multi Step Equations Worksheet 

As you learned how to solve multi-step equations step by step. The multi-step equations worksheets can help you strengthen your knowledge and problem-solving skills by providing problem-based questions. Here we provide you with a simple and challenging multi-step equations worksheet PDF. You can download, print, and solve the problem on paper. 

Also, get the triangle congruent worksheet

How to Use Multistep Equations Worksheet

Worksheets are effective tools to practice the learned mathematical concepts. The 3 step equations worksheet helps you practice math efficiently and excel in your mathematical abilities. Here is the Step-by-Step Guide to use the worksheet.  

Understand the Goal

Before starting practice, you should know the purpose of Math worksheets. These are designed to help you practice and improve skills in a specific math topic, like solving multistep equations in Math. 

Read Instructions

It is essential to read the instructions before beginning. Read the instructions carefully that are provided on the worksheet. It will help you understand what you need to do. 

Solve the Problems

Solve the problems by following the steps. This will help you understand the process and make it easier to check for errors. Apply the correct mathematical operations and concepts to the problems. Work through each problem carefully to ensure accuracy.

Review Your Answers

After completing the worksheet, review your answers to ensure they are correct. 

Learn from Your Work

Solving the multi-step equations with variables on both sides worksheet provides you with an opportunity to identify your mistakes and pitfalls. If you made any errors, try to understand where you went wrong. 

Get feedback

After solving a multi step equations worksheet, always get it evaluated. Ask your online Math tutor or parent for help to go over your mistakes and get feedback. 

Practice more

Use worksheets to get extra practice on areas where you need improvement, whether that's addition, multiplication, or more complex topics. A consistent practice will help you get familiar with the admission test preparation, such as the GMAT test preparation.  

You can download the printable multi-step equations with solved answers in PDF.

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Multi-step Equations Fun Worksheet​

A Multi-step Equations Fun Worksheet is an educational tools that provide practice problems for solving multiple-step algebraic equations. They incorporate engaging formats like mazes, puzzles, or games to make the learning process more enjoyable and effective. 

You can download a printable multistep equation fun worksheet. 

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Multi Step Equations with Fractions Worksheet

Multi-step equations with fractions are equations that involve more than two steps in the process of solving. The multi-step equations with fractions worksheet can help you practice the problems. 

Before going to worksheets, first we will learn how to learn how to solve fractions with multisstep equations. 

You can solve the equations by following these steps. 

Find the Least Common Denominator (LCD)

Identify all the denominators in the equation and find the least common multiple of those numbers. 

Multiply by the LCD

Multiply both sides of the entire equation by the LCD to eliminate all fractions. h3> Distribute and Simplify

Use the distributive property to remove any parentheses.

Combine Like Terms

Group and combine similar terms, such as all terms with 'x' and all constant terms on each side of the equation. 

Isolate the Variable Term

Use inverse operations to get all the terms with the variable on one side of the equation and all constant terms on the other side. 

Solve for the Variable

Perform the final operation (multiplication or division) to find the value of the variable. 

Example 

Solve this multi-step equation with fractions 34x+2=38x-4 

Find the LCD of 8 and 4, which is 8. 

Multiply the equation by the LCD

Subtract 3x from both sides

Subtract 16 from both sides 

Divide both sides by 3

As you learned solving the multistep equations with fractions, you can practice them on a worksheet. You can download a printable multi-step equations worksheet involving fractions. 

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Multi Step Equations Integers Worksheet

A multi-step equations integers worksheet is a tool for practice exercise that is designed to help students solve algebraic equations that require more than one operation. It involves positive and negative integers to find the value of an unknown variable. 

These worksheets require students to combine like terms, use the distributive property, and apply inverse operations to isolate the variable and find the solution. 

You can download a printable multi-step equations integer worksheet in PDF.

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Conclusion 

A multi-step equations worksheet provides practice problems designed to help students isolate a variable in an equation that requires more than one operation to solve. These Worksheets include problems that involve combining like terms, using the distributive property, and applying inverse operations to solve for the unknown variable.