Finding the Unknown — Chapter Summary
CBSE · Class 7 · Mathematics
Summary of Finding the Unknown for CBSE Class 7 Mathematics. Part of the CBSE Class 7 Mathematics syllabus. Equations help find unknown values.
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Overview
Equations help find unknown values in patterns, weighing-scale problems, money problems, and number puzzles. A statement of equality between two algebraic expressions is called an equation. Solving an equation means finding the value of the unknown that makes the left side and the right side equal.
Key Concepts
An equation is a statement
An equation is a statement of equality between two algebraic expressions. The equal sign shows that both sides have the same value.
Solving means finding the value
Solving means finding the value of the letter-number for which the Left Hand Side becomes equal to the Right Hand Side.
The number of matchsticks at
The number of matchsticks at the nth position is 2n + 1. Using this, 2n + 1 = 99 gives n = 49.
Different values are substituted until one
Different values are substituted until one makes the equation true. For 2n + 1 = 99, n = 49 works.
Addition and subtraction are inverse operations
Addition and subtraction are inverse operations, and multiplication and division are inverse operations. They help remove terms and isolate the unknow
Learning Objectives
- Understand what an equation is and what solving an equation means
- Use patterns to write formulas for the number of matchsticks and tiles
- Solve simple equations using trial and error and then by systematic methods
- Use inverse operations to isolate the unknown
- Form equations from word problems involving money, savings, marbles, and tricks
Frequently Asked Questions
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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