Courses

Courses for Kids

Free study material

Store

Talk to our experts

1800-120-456-456

Maths

One Step Equations Worksheet for Solving Simple Linear Equations

One Step Equations Worksheet for Solving Simple Linear Equations

Q: 1. What is a one step equation?

A one step equation is an algebraic equation that can be solved in a single mathematical operation. It usually involves one variable and one operation such as addition, subtraction, multiplication, or division.Example: x + 5 = 12Only one step is needed: subtract 5 from both sides.Solution: x = 7One step equations worksheets typically focus on practicing these basic algebra skills.

Q: 2. How do you solve a one step equation?

To solve a one step equation, isolate the variable using the inverse operation. Follow these steps:Identify the operation attached to the variable.Use the opposite (inverse) operation on both sides.Simplify to find the value of the variable.Example: x − 4 = 9Add 4 to both sides.x = 13

Q: 3. What are examples of one step equations?

Common one step equation examples involve a single operation with a variable. Examples include:Addition: x + 6 = 10 → x = 4Subtraction: x − 3 = 8 → x = 11Multiplication: 5x = 20 → x = 4Division: x ÷ 7 = 3 → x = 21These are typical problems found in one step equations worksheets.

Q: 4. What is the inverse operation in one step equations?

An inverse operation is the opposite mathematical operation used to isolate the variable in an equation. The main inverse pairs are:Addition ↔ SubtractionMultiplication ↔ DivisionFor example, in x + 9 = 15, subtract 9 from both sides to get x = 6. Inverse operations keep the equation balanced.

Q: 6. What are common mistakes in one step equations?

Common mistakes in one step equations include not applying the operation to both sides and using the wrong inverse operation. Watch out for:Forgetting to perform the same step on both sides.Adding instead of subtracting (or vice versa).Miscalculating basic arithmetic.Always check your answer by substituting it back into the original equation.

Q: 7. How do you check your answer in a one step equation?

You check a one step equation by substituting your solution back into the original equation to see if both sides are equal. Example:Equation: x + 3 = 10Solution: x = 7Check: 7 + 3 = 10 ✔If both sides match, the solution is correct.

Q: 8. Are one step equations suitable for beginners?

Yes, one step equations are ideal for beginners because they introduce basic algebra concepts in a simple way. They help students:Understand variablesLearn inverse operationsPractice balancing equationsThey are often taught in early middle school maths or pre-algebra lessons.

Q: 9. What is the difference between one step and two step equations?

The difference is that a one step equation requires only one operation to solve, while a two step equation requires two operations. Example:One step: x + 5 = 12 → x = 7Two step: 2x + 3 = 11 → subtract 3, then divide by 2 → x = 4Two step equations involve an extra layer of algebraic reasoning.

Latest Updates

Book Free Demo :

1 Teacher, 1 Student, 100% Attention (Classes start from ₹800 per hour)

Book a FREE Demo :

Learn Math the Smart Way

How to Solve One Step Equations with Step by Step Examples and Practice Problems

Basic algebra starts with representing a variable in an equation with a letter. Students learn to explain a variable and perform the mathematical operations on an equation to get its value. This is where the One Step Equations Worksheet can be used perfectly to develop your conceptual foundation.

This worksheet contains the questions that explain the methods of Solving One Step Equations Worksheet. Hence, solving these questions will enable you to understand what a variable stands for and how its value can be determined easily.

What is the One Step Equation?

As the name suggests, a one-step equation is an algebraic expression that contains one variable and numbers. It takes only one mathematical operation to solve and find the value of the variable included.

In this equation, only the variable represented with an English letter is unknown. Students will have to use the one-step methods taught to find the value of this variable.

Access Worksheet for Maths KG-2 One-Step Equations

An algebraic equation that only requires one step to solve is known as a one-step equation. Once you've figured it out, you'll know the variable's value, which makes the equation true. To obtain the variable by itself when solving one-step equations, we do the inverse (opposite) of the operation being applied to the variable.

One-step equations can be solved in four different ways: by adding, subtracting, multiplying, and dividing. In an equation, both sides will remain equal if we add the same amount to either side. One-step equations only contain one operation and require one inverse operation to be solved. Two-step equations have two operations and require two inverse operations to be solved.

Questions:

1. Solve the equation.

a. x+5=24

b. h+7=27

c. d+3=50

2. Find the value of “X” in the following equation.

a. x-8=48

b. x-2=87

c. x-8=57

3. Find the value of “a” in the following equations.

a. a+3=64

b. a-9=29

c. a-3=-3

4. Find the solution for the following.

a. 5z=25

b. 8z=64

c. 4z=28

d. 3z=27

5. Solve each equation given below.

a. 27=z-5

b. 67=x+32

6. Find the solutions for the following equations.

a. m+16= –32

b. m-16= -32

7. How will the equation change in the following questions?

a. 36=6k

b. 81=3k

c. 64=4k

8. What will be the value of “M” in the following equations?

a. -m=51

b. 51-m=50

9. Solve the equation: 4k+4=16

10. Solve the equation:36=4x

11. Solve the equation for the value of “a”: 5a+15= 25

12. Find the value of the variable: z+2z=6

13. Make the equation:

We get 6 when we add variable “a” with 6.

14. Find the equation:

When variable “z” is multiplied by 2, we get 16.

15. Find the value of “z”: 2z=16

Answer

a. x+5=24

X= 24-5

X=19

b. h+7=27

H=27-7

H=20

c. d+3=50

d=50-3

d=47

a. x-8=48

X=48+8=56

b. x-2=87

x=87+2=89

c. x-8=57

x=57+8=66

a. a+3=64

a=64-3=61

b. a-9=29

a=29+9=38

c. a-3=-3

a=-3+3=0

a. 5z=25

z=25/5=5

b. 8z=64

z=64/8=8

c. 4z=28

z=28/4=7

d. 3z=27

z=27/3=9

a. 27=z-5

z=27+5=32

b. 67=x+32

x=67-32=35

a. m+16= –32

m=-32-16=-48

b. m-16= -32

m=-32+16=-16

a. 36=6k

k=36/6=6

b. 81=3k

k=81/3=27

c. 64=4k

k=64/4=18

a. -m=51

m=51

b. 51-m=50

m=51-50=1

4k+4=16

4k=16-4= 4k=12= 3

10.

36=4x

x=36/4=9

11.

5a+15= 25

5a=25-15

5a=10

a=10

12.

z+2z=6

3z=6

z=2

13.

We get 6 when we add variable “a” with 6.

a+6=6

14.

When variable “z” is multiplied by 2, we get 16.

2z=16

15.

2z=16

The value of “Z” will be:

z=16/2=8

Importance of One-Step Equations Worksheet Answers

Students learn this basic algebraic concept to develop their foundation for learning advanced concepts later. Learning to solve a one-step equation becomes easier when you have the right worksheet to practice. Apart from the textbook exercises, students need a precise platform that allows the assessment of their preparation level.

This is where solving the fundamental questions in the worksheets will be an ideal way to develop their concepts. These questions and answers in the worksheet will enlighten students on how to attempt to solve these equations in one step.

By focusing on the questions, they will realise how the fundamental concepts of variables and one-step equations have been met well. Solving such questions allows them to easily focus on their analytical skill development and develop the algebraic foundation needed.

Benefits of Solving One Step Equations Worksheet

The questions assigned to this worksheet are all based on the basics of algebra for kids. Solving these questions will automatically develop the concepts well and enable kids to learn advanced concepts easily.
The questions in this worksheet are precisely solved so that you can find the right answers and methods to focus on and proceed with preparing this topic.
Resolve your doubts faster by using the solution given in this worksheet and take your preparation to the next level.
Check the methods explained and carry on with your One Step Equation Practice to score more in the exams.

Download One Step Equations Worksheet PDF

Get the free PDF version of this worksheet and assess your preparation level. Find out how efficiently you have learned to solve one-step equations. Learn to apply the methods well and practice using this worksheet.

Best Seller - Grade 8

FAQs on One Step Equations Worksheet for Solving Simple Linear Equations

1. What is a one step equation?

A one step equation is an algebraic equation that can be solved in a single mathematical operation. It usually involves one variable and one operation such as addition, subtraction, multiplication, or division.

Example: x + 5 = 12
Only one step is needed: subtract 5 from both sides.
Solution: x = 7

One step equations worksheets typically focus on practicing these basic algebra skills.

2. How do you solve a one step equation?

To solve a one step equation, isolate the variable using the inverse operation. Follow these steps:

Identify the operation attached to the variable.
Use the opposite (inverse) operation on both sides.
Simplify to find the value of the variable.

Example: x − 4 = 9

Add 4 to both sides.
x = 13

3. What are examples of one step equations?

Common one step equation examples involve a single operation with a variable. Examples include:

Addition: x + 6 = 10 → x = 4
Subtraction: x − 3 = 8 → x = 11
Multiplication: 5x = 20 → x = 4
Division: x ÷ 7 = 3 → x = 21

These are typical problems found in one step equations worksheets.

4. What is the inverse operation in one step equations?

An inverse operation is the opposite mathematical operation used to isolate the variable in an equation. The main inverse pairs are:

Addition ↔ Subtraction
Multiplication ↔ Division

For example, in x + 9 = 15, subtract 9 from both sides to get x = 6. Inverse operations keep the equation balanced.

5. How do you solve one step equations with multiplication or division?

To solve multiplication or division one step equations, use division or multiplication to isolate the variable. Examples:

4x = 28 → Divide both sides by 4 → x = 7
x ÷ 5 = 6 → Multiply both sides by 5 → x = 30

This method ensures the variable stands alone on one side of the equation.

6. What are common mistakes in one step equations?

Common mistakes in one step equations include not applying the operation to both sides and using the wrong inverse operation. Watch out for:

Forgetting to perform the same step on both sides.
Adding instead of subtracting (or vice versa).
Miscalculating basic arithmetic.

Always check your answer by substituting it back into the original equation.

7. How do you check your answer in a one step equation?

You check a one step equation by substituting your solution back into the original equation to see if both sides are equal. Example:

Equation: x + 3 = 10
Solution: x = 7
Check: 7 + 3 = 10 ✔

If both sides match, the solution is correct.

8. Are one step equations suitable for beginners?

Yes, one step equations are ideal for beginners because they introduce basic algebra concepts in a simple way. They help students:

Understand variables
Learn inverse operations
Practice balancing equations

They are often taught in early middle school maths or pre-algebra lessons.

9. What is the difference between one step and two step equations?

The difference is that a one step equation requires only one operation to solve, while a two step equation requires two operations. Example:

One step: x + 5 = 12 → x = 7
Two step: 2x + 3 = 11 → subtract 3, then divide by 2 → x = 4

Two step equations involve an extra layer of algebraic reasoning.

10. Why are one step equations important in algebra?

One step equations are important because they build the foundation for solving more complex algebraic equations. They teach:

How to isolate a variable
How to use inverse operations
How to maintain equation balance

Mastering one step equations worksheets prepares students for multi-step equations, inequalities, and higher-level algebra topics.

One Step Equations Worksheet for Solving Simple Linear Equations

How to Solve One Step Equations with Step by Step Examples and Practice Problems

What is the One Step Equation?

Access Worksheet for Maths KG-2 One-Step Equations

Questions:

Answer

Importance of One-Step Equations Worksheet Answers

Benefits of Solving One Step Equations Worksheet

Download One Step Equations Worksheet PDF

Vedantu's Instasolve - 1 Month - 24 hours Unlimited Instant Doubt Solving

Vedantu's Instasolve - 12 Months - 24 hours Unlimited Instant Doubt Solving

Vedantu's Instasolve - 3 Months - 24 hours Unlimited Instant Doubt Solving

Biology - Vedantu - Round Neck T-Shirt

Doctor in the House - Men's Round Neck T-Shirt

Doctor in the House - Women's Round Neck T-Shirt

Dream Hustle Achieve - Men's Round Neck T-Shirt

Dream Hustle Achieve - Men's T Shirt

Dream Hustle Achieve - Women's Round Neck T-Shirt

Dream Hustle Achieve - Men's Hooded Sweatshirt

Dream Hustle Achieve - Women's Hooded Sweatshirt

Dream Hustle Achieve Men Hoodie by Vedantu

Dream Hustle Achieve Women Hoodie by Vedantu

FAQs on One Step Equations Worksheet for Solving Simple Linear Equations