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# ICSE Class 9 Mathematics Revision Notes Chapter 4 - Expansions (Including Substitution)

Last updated date: 19th Jun 2024
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## Revision Notes for ICSE Class 9 Mathematics Chapter 4 - Free PDF Download

Free PDF download of Class 9 Mathematics Chapter 4 - Expansions (Including Substitution) Revision Notes & Short Key-notes prepared by expert Math teachers as per CISCE guidelines . To register Maths Tuitions on Vedantu.com to clear your doubts.

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## Importance of Revision Notes

Revision notes for ICSE Class 9 Mathematics Chapter 4 are available on Vedantu’s official website. Students can check the website for easy notes. Substitution is one of the basic tools to work with expressions. Expansion is the equivalent of factorization.

### Example of Expansion

Let us see an example of expansion:

Question: Expand 3*(5+2)

3*(5+2)

= 3*5+3*2

Thus, this is expanded.

Now, we complete the calculation.

3*(5+2)

= 3*5+3*2

= 15+6

= 21

### Example of Substitution

1. Solve for ‘x’ and ‘y’:

x + y = 5.

3x + y = 11.

Solution

x + y = 5 …………… (i)

3x + y = 11 …………… (ii)

From 1st eq. we find that y = 5 - x.

Substituting value of y in eq. (ii), we get;

3x + 5 - x = 11.

⟹ 2x = 11 - 5

⟹ 2x = 6

⟹ x = 6/2

⟹ x = 3.

Substituting x = 3 in y = 5 – x, we get;

y = 5- x

⟹ y = 5 - 3

⟹ y = 2.

Hence, x = 3 and y = 2.

Students find it hard to solve equations related to expansion using substitutions. Vedantu’s experts have prepared a very easy way to solve these equations. The number of times you practice, the more you become sharp. When you know what to write, no exams can bring your confidence down. Revision is the best way to release your stress and build confidence. The more you know, the more intelligent you become.

### Conclusion

Students can avail Free PDF download of Class 9 Mathematics Chapter 4 - Expansions (Including Substitution) Revision Notes & Short Key-notes prepared by expert Math teachers as per ICSE guidelines. Do check the official website of Vedantu for detailed notes and register for Maths Tuitions on Vedantu.com to clear your doubts and to score well.

## FAQs on ICSE Class 9 Mathematics Revision Notes Chapter 4 - Expansions (Including Substitution)

1. Why do we study mathematics?

Numbers are a very important part of our daily life. It is the language that all of us use intentionally or unintentionally. Without the numbers, the world doesn’t exist. Every day in every way possible, math is applied to start from farmers to scientists. Even when a baby is born, date and time become important. That date will be a celebration day for the rest of their lives.

2. What role does Mathematics play in one’s life?

In some way, Yes. Mathematics is very important in everyone’s life. Even the poorest of the poor knows the value of numbers. They know that 5 rupees are less than 10 rupees. We apply maths in our everyday life. From waking up in the morning and going back to sleep, we see the time. Other subjects might be important too but we consider maths as more important because it applies to our daily life.

3. What is Vedantu?

Vedantu is a platform for students to empower themselves with knowledge. A platform that guides students to solve their problems regarding their studies. A team of experts spends their time making good notes and helping students with their exams. Vedantu provides courses for all subjects in a very simple language for every student to grasp. Vedantu is considered one of the best online platforms for students. Grab opportunities when it is coming right at your fingertips. To know more about Vedantu, go to the website www.vedantu.com

4. How does revision play an important role in a student's life?

A student having no idea about the subject can’t face exams. People who are really concerned about their future take necessary steps for exams like, jotting down the notes when the teachers teach, trying to know about it more through different sources etc. and preparing notes based on that which is known as revision. When you revise yourself with more information, you’ll be able to face any kind of exam. The more you revise, the more confident you are. Exams give stress but when you know what and how to write, you gain more confidence.

5. Do we need revision for maths?

Yes. Practice is also considered revision. The more you practice the more you learn. Students might find formulas hard, but practising them every day makes it easy for students to grasp quickly. Maths is a completely different subject compared to any other subject. Once we start grasping, it becomes more fun to solve more equations. Some students find Mathematics as a very tough subject and there are students who consider it as their best one. It’s all about how you understand. Once you learn the equation, you will want to practice more.