One Step Equations

Grade 6 Math Worksheets

A one-step equation is a mathematical equation that can be solved in one step, typically by using the properties of arithmetic (such as addition, subtraction, multiplication, and division) to isolate the variable on one side of the equation and find its value.

In this article, we will cover:

Steps to Solve a One-Step Equation
One-Step Equations Examples
FAQs

eTutorWorld Online Tutoring

One Step Equations - Grade 6 Math Worksheet PDF

This is a free printable / downloadable PDF worksheet with practice problems and answers. You can also work on it online.

10+ Questions

Untimed

10+ Marks

Free

Printable

Downloadable

Solve Worksheet

"We really love eTutorWorld!"

"We really love etutorworld!. Anand S and Pooja are excellent math teachers and are quick to respond with requests to tutor on any math topic!" - Kieran Y (via TrustSpot.io)

View 6th Grade Online Tutoring Services

"My daughter gets distracted easily"

"My daughter gets distracted very easily and Ms. Medini and other teachers were patient with her and redirected her back to the courses.

With the help of Etutorworld, my daughter has been now selected in the Gifted and Talented Program for the school district"

- Nivea Sharma (via TrustSpot.io)

Book a Free Class

An example of a one-step equation is 2x = 10, which can be solved by dividing both sides by 2 to find x = 5.

Here are the general steps to solve a one-step equation:

Start with the equation you are given.
Use inverse operations (such as adding the opposite, multiplying by the reciprocal, etc.) to cancel out the coefficient of the variable on one side of the equation.
Simplify the equation by combining like terms if possible
Check the solution by substituting it back into the original equation to make sure it makes a true statement.

“There have been times when we booked them last minute, but the teachers have been extremely well-prepared and the help desk at etutorworld is very prompt.

Our kid is doing much better with a higher score.”

- Meg, Parent (via TrustSpot.io)

6th Grade Tutoring

eTutorWorld offers Personalized Online Tutoring for Math, Science, English, and Standardised Tests.

Our Tutoring Packs start at just under $21 per hour, and come with a moneyback guarantee.

Schedule a FREE Trial Session, and experience quality tutoring for yourself. (No credit card required.)

Book a Free Class

One Step Equations Solved Example

Example: Solve the equation 3x = 15

Start with the equation 3x = 15
To cancel out the coefficient of the variable, divide both sides by 3, x = 5
No need to simplify further since it’s a one-step equation.
Check the solution by substituting x = 5 back into the original equation 3x = 15 and it’s true.

Do You Stack Up Against the Best?

If you have 30 minutes, try our free diagnostics test and assess your skills.

Free Diagnostic Test for 6th Grade

One Step Equations FAQS

What is a one-step equation?

How do I solve a one-step equation?

To solve a one-step equation, you typically use the properties of arithmetic (such as addition, subtraction, multiplication, and division) to isolate the variable on one side of the equation and find its value. You can use inverse operations like adding the opposite, multiplying by the reciprocal, etc to cancel out the coefficient of the variable on one side of the equation.

What are some examples of one-step equations?

Examples of one-step equations include 3x = 15, and 7y = 35.

What is the difference between a one-step equation and a multi-step equation?

A one-step equation can be solved in one step, typically by using the properties of arithmetic to isolate the variable on one side of the equation and find its value. A multi-step equation, on the other hand, requires more than one step to solve, typically involving combining like terms, using inverse operations, and/or distributing to find the value of the variable.

How do I check if my solution is correct for a one-step equation?

To check if a solution is correct for a one-step equation, substitute the value of the variable back into the original equation and see if it makes a true statement. If it does, then the solution is correct. If it doesn’t, then the solution is incorrect and you will need to go back and check your work.

Gloria Mathew writes on math topics for K-12. A trained writer and communicator, she makes math accessible and understandable to students at all levels. Her ability to explain complex math concepts with easy to understand examples helps students master math. LinkedIn

Affordable Tutoring Now Starts at Just $21

eTutorWorld offers affordable one-on-one live tutoring over the web for Grades K-12. We are also a leading provider of Test Prep help for Standardized Tests (SCAT, CogAT, MAP, SSAT, SAT, ACT, ISEE, and AP).

What makes eTutorWorld stand apart are: flexibility in lesson scheduling, quality of hand-picked tutors, assignment of tutors based on academic counseling and diagnostic tests of each student, and our 100% money-back guarantee.

Whether you have never tried personalized online tutoring before or are looking for better tutors and flexibility at an affordable price point, schedule a FREE TRIAL Session with us today.

*There is no purchase obligation or credit card requirement

Book a Free Class