Maths Worksheet for Kids| Algebra Worksheet

Algebraic Equations are the equations obtained by equating to zero a sum of a finite number of terms, each of which is a product of positive integral powers, including the zero power of the variables. So in simple terms, Algebraic equations are polynomial equations. It is balanced as both sides have the same value. To avoid committing an error that tips the equation out of balance, make sure that any change on one side of the equation is reciprocated on the other side.

Let us solve some questions more understanding –

An Image of Algebraic Operations 

Questions: 

1. Find the solution of the one-step equation.

−16 + x = 15

18 + m = 8

2. Solve.

x + 1 = 9

3. State true or false. 

The solution of the one-step equation p − 6 = −5 is -1.

4. Solve a one-step equation.

x - 7 = 10

n + 16 = 9

5. State true or false. 

The solution of one-step equation 15 + b = 23 is 8.

6. Solve 

5x = -15

7. Find the value of the variable: 

−5 = a/18

21 = −7n

8. State true or false. 

The solution of the one step equation x − 7 = 13 is 10.

9. Solve the one step equation.

10n = 40

v − 15 = −27

10. Solve. 

2t = 200

11. Find the solution of the one step equation.

x + 9 = 8

−104 = 8x

12. Solve the equation.

m + 4 = −12

16 = k/11

13. State True or False.

The solution of one step equation x + 7 = 6 is x = -1.

14. Solve the one step equation.

y/7 = -2

−17x = −204

15. Find the value of the variable: 

14b = −56

−143 = −11x

Answers: 

1. −16 + x = −15

⇒ x = -15 + 16

⇒ x = 1

18 + m = 8

⇒ m = 8 - 18

⇒ m = -10

2. x + 1 = 9

⇒ x = 9 - 1

⇒ x = 8

3. False 

p − 6 = −5

⇒ p = -5 + 6

⇒ p = 1

4. x - 7 = 10

⇒ x = 10 + 7

⇒ x = 17

n + 16 = 9

⇒ n = 9 - 16

⇒ n = -7

5. True 

15 + b = 23

⇒ b = 23 - 15

⇒ b = 8

6. 5x = -15

⇒ x = -15/5

⇒ x = -3

7. −5 = a/18

⇒ a = -5 × 18

⇒ a = -90

21 = −7n

⇒ n = 21/-7

⇒n = -3

8. False 

x − 7 = 13 

⇒ x = 13 + 7

⇒ x = 20

9. 10n = 40

⇒ n = 40/10

⇒ n = 4

v − 15 = −27

⇒ v = -27 + 15

⇒ v = -12

10. 2t = 200

⇒ t = 200/2

⇒ t = 100

11. x + 9 = 8

⇒ x = 8 - 9

⇒ x = -1

−104 = 8x

⇒ x = -104/8

⇒ x = -13

12. m + 4 = −12

⇒ m = -12 - 4

⇒ m = -16

16 = k/11

⇒ k = 16 x 11

⇒ k = 176

13. True 

x + 7 = 6

⇒ x = 6 - 7

⇒ x = -1

14. y/7 = -2

⇒ y = -2 × 7

⇒ y = -14

−17x = −204

⇒ x = -204/-17

⇒ x = 12

15. 14b = −56

⇒ b = -56/14

⇒ b = -4

−143 = −11x

⇒ x = -143/-11

⇒ x = 13

What is Algebra?

The broad area of mathematics where we study the symbols that represent a mathematical expression is called Algebra. This concept determines an unknown variable based on the questions asked. In simpler words, the concepts of Algebra enable us to define mathematical equations by using English letters such as x. y, z, etc.

Importance of Solving Equations Worksheet

Algebra needs a proper medium to be practised and imbibed well. For this, solving worksheets designed by subject experts can be very helpful for the students to grab hold of the mathematical principles.

The worksheet available on this page will be ideal for the students to solve and understand the concept faster. The problems are based on the mathematical principle of One Step Equations Algebra that students can easily identify and solve.

All the questions here can be solved if the students have followed how to create an equation and how to solve it. They will also use the fundamentals of mathematical operations and equivalence to solve an algebraic equation.

Hence, this worksheet will be the perfect guide to learning how to solve simple algebraic questions and find precise answers. Practising solving this worksheet will fortify the conceptual foundation of the students at this level to learn advanced algebraic concepts in the higher classes.

Benefits of One Step Linear Equations Worksheet

The questions set in this worksheet all focus on the principles of algebra for linear equations. You will learn how to easily apply the concepts of finding the answers to variables represented by English letters.

You will also get a good grip on the technique to solve these algebraic questions in no time. You will also learn to represent a variable with an English letter and form an equation on your own.

Resolve doubts related to these questions by referring to the solutions given in the worksheet. You will increase your knowledge and develop problem-solving skills for this topic.

Download One Step Algebra Equations Worksheets PDF

Get the free PDF version of these worksheets and complete your study material to learn this chapter well. Focus on how the experts have formulated the questions and take your preparation to the next level. Follow the solution to find out how the experts have compiled the answers to develop similar skills.