Introduction
Algebra is basically a language of mathematics. Class 7 students get confused when letters are attached to numbers, so this article will be beneficial for them because students are in the early learning age. At first, it can seem confusing—what is “x” and why is it hiding in every question? But once you learn the method, algebra solved word problems for class 7become simple, logical, and even fun.
In this article, we’ll go through algebra solved word problems for class 7 step by step. From simple algebra problems with solutions to linear equations word problems, you’ll see how to translate everyday situations into math equations and solve them like a puzzle. These problems are not limited to the limit of the course, but every student has his own place in the life of algebra, which is used more than the limit in his daily life.
If you are wondering how algebra is used everywhere or how it works, then you should just see such real-world problems in this article but also solve them in an easy method. So let’s start now. And you can also takae information on algebra for class 7 and algebra problems for class 7.
Table of Contents
Algebra Solved Word Problems for class 7
Problem 1: A Simple Equation
Question:
Ali thinks of a number. By adding 7 to it, it becomes 15. What is the number?
Solution:
Let the number = x
Equation → x + 7 = 15
Subtract 7 from both sides → x = 15 – 7
x = 8
✅ Answer: The number is 8
�� This is one of the most basic algebra practice questions with answers, showing how unknowns can be uncovered step by step.
Problem 2: Cost of Notebooks (Money Problem)
Question:
Five notebooks cost 200 rupees. What is the price of one notebook?
Solution:
Let the price of one notebook = p
Equation → 5p = 200
Divide both sides by 5 → p = 200 ÷ 5
p = 40
✅ Answer: One notebook costs 40 rupees
Problems like this are perfect examples of basic algebra solved word problems for class 7 because they connect math directly with real-world spending.
Problem 3: Age Problem Question:
A father is three times older than his son. In 5 years, the father will be 50. Find the son’s present age.
Solution: Let the son’s age = x. Then the father’s age = 3x
In 5 years: Father’s age = 3x + 5
Equation → 3x + 5 = 50
Subtract 5 → 3x = 45
Divide by 3 → x = 40 ÷ 3 x = 13⅓ years ✅ Answer: The son is 13 years 4 mo
Problem 4: Taxi Fare (Linear Equation Word Problem)
Question:
A taxi charges a base fare of 50 rupees plus 20 rupees per kilometer. If the total bill is 150 rupees, how many kilometers did the passenger travel?
Solution:
Let distance traveled = d km
Equation → 50 + 20d = 150
Subtract 50 → 20d = 100
Divide by 20 → d = 5
✅ Answer: The passenger traveled 5 km
�� This shows howalgebra solved word problems for class 7 connect directly to transportation and costs.
Problem 5: Speed, Distance, and Time
Question:
A car travels 50 km in one hour. How long will it take to travel 200 km?
Solution:
Formula → Distance = Speed × Time
Let time = t
Equation → 200 = 50 × t
Divide both sides → t = 200 ÷ 50
t = 4
✅ Answer: The car will take 4 hours
Problem 6: Numbers Related Puzzle
Question:
The difference between the two numbers is 35. The one number is twice the other. Find the numbers.
Solution:
Let the smaller number = x
Then the larger number = 2x
Equation → 2x -x = 35
Simplify → x = 35
Larger number = 2(35) = 70
✅ Answer: The numbers are 70 and 35
It is from such examples that we can show that algebra solved word problems for class 7 can solve any problem related to numbers.
Problem 7: Sharing Chocolates
Question:
Ali has half as many chocolates as Ayesha has. And they both have a total of 30 chocolates. How many does each have?
Solution:
Let Ayesha’s chocolates = x
Then Ali’s chocolates = x/2
Equation → x + x/2 = 30
Simplify → 3x = 60
Divide → x = 20
Ayesha’s chocolates = 20
Ali’s chocolates=x/2=20/2=10
✅ Answer: Ali has 10, Ayesha has 20
These are algebra solved word problems for class 7 which students can solve for their practice in a fun and enjoymentful way.
Problem 8: Geometry + Algebra
Question:
If the length of a rectangle is 5 cm and the widht is 7 cm. Find its perimeter.
Solution:
Let width = 7 cm
Then length = 5 cm
Perimeter formula = 2(length + width)
Perimeter =2(5+7)
=2(12)=24
✅ Answer: Perimeter =24 cm
�� Here, algebra blends with geometry—one of the many cross-topic connections.
Problem 9: Work Problem
Question:
If a student gets 50 rupees pocket money daily, then how much money he will save in 10 days?
Solution:
Let number of days = 10
Equation → 50d = 50(10)
=500
✅ Answer: He must have 500 rupees in 10 days .
This is an example of algebra solved word problems for class 7 which proves how applicable algebra is in real life.
Problem 10: School Event
Question:
Students of a class donate 2500 rupees for some charity and each student donates 50 rupees from his pocket money. Can you tell me how many class has the most students?
Solution:
Let the number of students = s
Equation → 50s = 2500
Divide → s = 2500 ÷ 50
s = 50
✅ Answer: There are 50 students in the class.
�� Simple, relatable, and a favorite type of classroom algebra word problem for grade 7.
Conclusion
And there we have it—ten fully solved algebra solved word problems for class 7 that show just how useful algebra can be. From everyday situations like taxi fares and notebook prices to puzzles about ages and chocolates, algebra acts like a universal problem-solving tool.
The key lesson? Don’t fear “x.” It’s just a placeholder for the unknown. Once you learn to translate words into equations, the solving part becomes easy. Keep practicing basic algebra exercises, mix in linear equations word problems, and tryalgebra solved word problems for class 7 regularly.
Always remember that we make algebra difficult for ourselves and easy for ourselves just by building confidence and interest. If you let algebra-related word problems take over your head, then it will never be easy for you; instead, if you solve it in such a fun, interesting way, then it will become a simple puzzle for you.
For this, keep your concepts clear, and if ever you feel difficulty in any problem and while solving it, then it is best for you to fix that problem in your mind in steps, take a long breath to freshen up and after that solve those parts easily like a puzzle. Again it is repeated that maths is not just a part of a course but it is also enjoyment and fun for you but it is only for interest development.
