Multi-step Equations Worksheet

Multi-step Equations Worksheet


Grade Levels
6th to 8th grade students

Focused Skills
Multi-Step Problem Solving, Operations with Whole Numbers, Equation Setup, Logical Reasoning, Understanding Units of Measure, Estimation and Mental Math, Word Problem Interpretation

File Format
Printable PDF and Online Math Quiz

Multi-step Equations Word Problems – Try Interactive Worksheet

15 Word Problems
Collect 15 Points

A gardener has 12 plants in each row and 5 rows in total. How many plants does he have?

Kevin bought 2 movie tickets for $9 each and a popcorn for $6. How much did he spend in total?

Jenna has twice the number of cats as dogs. If she has 5 dogs, how many cats does she have?

Liam bought a book for $12 and 3 bookmarks for $2 each. How much did he spend?

A family buys 4 burgers for $7 each and 3 drinks for $2 each. What is their total bill?

Paul jogs 3 miles every day. If he jogs for 6 days, how many miles does he run in total?

Mike bought 4 books for $6 each and a magazine for $5. How much did he spend altogether?

Sarah has $50. She spends $8 on a book and then buys 3 pens, each costing $5. How much money does she have left?

A bicycle rental charges $10 for the first hour and $5 for each additional hour. If Tom rents the bike for 4 hours, how much does he pay?

An artist sold 4 paintings for $15 each and 3 sketches for $10 each. What was the total amount earned?

Jim buys 3 packs of pencils and a notebook. Each pack of pencils costs $4, and the notebook costs $7. How much did Jim spend in total?

A car rental charges $20 per day and $0.50 per mile. If Mark rents it for 2 days and drives 100 miles, what is the total cost?

A chef buys 5 bags of flour, each weighing 4 pounds, and a bag of sugar weighing 3 pounds. What is the total weight?

A train travels 30 miles per hour for 3 hours and then 50 miles per hour for 2 hours. How far did it travel in total?

Anna has 3 times as many marbles as Bob. If Bob has 6 marbles, how many marbles does Anna have?


 

What is a Multi-Step Equations Worksheet?

A multi-step equations worksheet is a resource designed to help students work through math problems that need more than one operation to solve. Think of it as a way to practice questions where you might need to add, then divide, or combine a few steps to get the answer. Our worksheet, made for grades 6 to 8, includes 15 word problems that are easy to relate to real life. It’s available as a PDF you can print, and there’s even an interactive version for online practice, making it accessible for all types of learners.

Who is this multi-step equations worksheet for?

This multi step equations worksheet is ideal for students in grades 6 to 8 who have learned basic math skills and are ready take a bit of a challenge. Multi-step problems not only help students improve their math but also build logical thinking and patience. So whether you’re a parent, teacher, or student yourself, this worksheet could be just what you’re looking for to strengthen problem-solving abilities.

What skills does multi-step equations worksheet build?

Each problem on this worksheet is crafted to focus on core skills needed for math success:

Step-by-Step Problem Solving: By practiing this multi step equations worksheet students learn to work in a methodical, logical sequence to reach the right answer.

Operations with Whole Numbers: Every problem requires addition, subtraction, multiplication, or division, reinforcing these essential operations.
Equation Setup
: Word problems encourage students to translate a scenario into a math equation—a skill that’s highly valuable in everyday life.

Order of Operations: Knowing which operation to perform first is key here, and this worksheet gives plenty of practice.

Working with Units: Students encounter questions involving units like dollars, miles, and hours, helping them see how math is used practically.

Estimation and Mental Math: Many of these problems encourage quick estimations, which are useful skills for checking work and improving accuracy.

Reading and Interpretation: These word problems are set up like stories, so students have to identify what information is essential to solve the question.

What types of problems are on this worksheet?

The problems are crafted to feel like real situations students might encounter outside of math class. For example, “If Sarah has $50, spends $8 on a book, and buys three pens for $5 each, how much does she have left?” Problems like this make it easy to see how math is part of daily life, whether it’s budgeting money, calculating travel distances, or planning a project. This approach makes math less intimidating and more practical.

Does this worksheet come with an answer key?

Yes! This multi step equations worksheet includes answer keys. Therefor students can check their work as they go, making it easier to learn from mistakes and gain confidence.

Can I access this worksheet online?

Absolutely. You can download it as a PDF or try the interactive quiz online. The online quiz provides instant feedback, which makes it great for quick reviews or practice on the go. It’s perfect for students who like learning digitally.

With this multi-step equations worksheet, students will find that math can be fun, accessible, and even useful in everyday situations. Download the PDF, try the quiz, and get ready to sharpen those math skills!

How to Solve a Multi-step Equations Word Problem


Problem: Sarah has $50. She spends $8 on a book and buys 3 pens, each costing $5. How much money does she have left?


Time needed: 5 minutes

Solve a multi-step word problem involving a total amount, cost of multiple items, and subtraction to find the remaining balance.

  1. Calculate the Total Cost of the Pens

    Each pen costs $5, and Sarah buys 3 pens. Multiply the cost per pen by the number of pens to find the total cost.

    Cost of one pen: $5
    Number of pens: 3
    Multiply 5 by 3 to get the total cost of the pens = 15

  2. Calculate the Total Spent

    Add the cost of the book and the total cost of the pens to find out how much Sarah spent in total.

    Cost of the book: $8
    Total cost of pens: $15
    Add 8 and 15 together to get the total spent = $23

  3. Subtract the Total Spent from the Original Amount

    Subtract the total spent from the original amount Sarah had to find out how much money she has left.

    Original amount: $50
    Total spent: $23
    Subtract 23 from 50 = 27

What is a multi-step equation?

A multi-step equation requires more than one math operation—like addition, subtraction, multiplication, or division—to solve for the unknown. You’ll often see these equations in word problems and everyday scenarios, where finding the answer means working through a few steps.

Why are multi-step equations important for students?

Multi-step equations help students build problem-solving skills and learn to think critically. Solving these equations teaches them how to approach a complex problem by breaking it into smaller steps, which is useful in real life too, like when budgeting or organizing a project.

How do you solve a multi-step equation?

To solve a multi-step equation, start by simplifying both sides if you can. Then, use inverse operations (like doing the opposite of adding by subtracting) to get the variable by itself. For instance, in an equation like 3x + 5 = 20, first subtract 5 from both sides, then divide by 3 to find x.

Can you give examples of multi-step equation problems?

Multi-step equation problems often mirror real-life situations. For example, “If Sarah has $50, spends $8 on a book, and buys three pens for $5 each, how much does she have left?” This type of question needs several steps—calculating the total she spent, then subtracting it from her starting amount—to get the answer.

How does a multi-step equations worksheet help students?

A multi-step equations worksheet offers structured practice for solving these kinds of problems. It usually includes word problems with examples similar to real-life scenarios, making it easier for students to understand how to approach each problem and set up equations on their own.

For what grade of students a multi-step equations worksheet suitable?

This type of worksheet is typically aimed at students in grades 6 to 8. By these grades, students are ready to handle equations that require multiple steps and are preparing for more advanced algebra skills.

Do multi-step equations worksheets include answer keys?

Yes, most of these worksheets come with answer keys, which are really helpful for students who are practicing on their own. Having an answer key lets them check their work along the way, making it easier to catch mistakes and understand each step.

Can be completed multi-step equations worksheets online?

Definitely! There are interactive/online versions of these worksheets that students can try online. These digital worksheets often give immediate feedback, which is great for students who want to quickly review or prefer practicing on their devices.

How parents can help their children with multi-step equations?

Parents can help by encouraging kids to go step-by-step, focusing on one part of the equation at a time. It can also help to ask kids to explain their thinking out loud—this reinforces what they’re learning and gives them a chance to work through the logic of each step.

More Math Worksheets