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

The ICSE acronym stands for the Indian Certificate of Secondary Education of India. The private, non-governmental Council for the Indian School Certificate Examinations regulates the administration of classes 10 and 12 in India). It gives out the Indian Certificate of Secondary Education to Class 10 students and the ISC test to Class 12 students. It is comparable to the IGCSE in the United Kingdom. The ICSE Board supervises the Indian Certificate of Secondary Education examination.

As the foundation for subsequent classes, Class 9 in the ICSE is a crucial grade where students must focus on all of their subjects. To become more focused on one’s goal and knowledge, students should start their preparation from Class 9. Since the curriculum in higher classes is the same as in Class 9, it is crucial to establish a strong foundation in all subjects starting in ICSE Class 9. To help the ICSE Class 9 students perform better in their exams, Extramarks provides them with extensive study materials like ICSE Class 9 Mathematics Revision Notes Chapter 4. ICSE Solutions, ISC & ICSE Syllabus, ICSE Important Questions, ICSE Sample Question Papers, ICSE Revision Notes, and ICSE Question Paper are also available on Extramarks.

Revision Notes for ICSE Class 9 Mathematics Chapter 4 – Free PDF Download

There are now online revision materials for Class 9 Mathematics for the ICSE like ICSE Class 9 Mathematics Revision Notes Chapter 4. These expertly crafted ICSE Class 9 Mathematics Revision Notes Chapter 4 will aid students in efficiently and rapidly reviewing the whole course. All topics on the syllabus are covered in the ICSE Class 9 Mathematics Revision Notes Chapter 4, which can be downloaded in  PDF format. These ICSE Class 9 Mathematics Revision Notes Chapter 4 can help students comprehend the concepts better, so they can perform well on exams.

Regular revision with ICSE Class 9 Mathematics Revision Notes Chapter 4 is crucial for students, especially before exams. ICSE Class 9 Mathematics Revision Notes Chapter 4 make it easier for individuals to retain important ideas and put them to use in problem-solving. Future academic endeavours will benefit from a solid understanding of the Mathematics concepts studied in Class 9. On many websites and discussion boards online, students can find ICSE Class 9 Mathematics Revision Notes Chapter 4. Before tackling practise problems, students should carefully go through these ICSE Class 9 Mathematics Revision Notes Chapter 4 and make sure they comprehend the principles.

Importance of Revision Notes

Revision is a crucial step in the learning and memory process for students. It enables individuals to recognise and fix understanding mistakes. Additionally, it aids in their understanding of the relationships between various ideas and how to apply them in multiple contexts. Regular revision with ICSE Class 9 Mathematics Revision Notes Chapter 4 is necessary for students to perform at their highest level, especially before exams.

Revision is critical for two primary reasons: first, it helps you to raise the calibre of your work; and second, it enables you to look through your work for errors and fix them before submitting it. Students should spend some time carefully reading through their work during revision with ICSE Class 9 Mathematics Revision Notes Chapter 4 to make sure it makes sense. Keeping an eye out for common mistakes, and working to make the writing more clear overall could also prove beneficial. Getting another person to view the work and provide criticism might also help. Although revision requires time and work, it is ultimately worthwhile.

Example of Expansion

Question: Expand 3*(5+2)

Answer: 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 the 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.

Conclusion

Students have trouble using substitutions to solve equations involving expansion. The internal specialists at Extramarks have created a very simple method to help students understand Expansion Class 9 ICSE. ICSE Expansion will only become easier to understand with regular practise. The more students practise, the sharper they become. It is impossible for them to lose confidence when they know what they are supposed to write in their exams. The most effective approach for them to decompress and gain confidence is revision. They develop greater intelligence as they get more knowledge.