Inside the Expressions using Letter-Numbers Class 7 notes, you will learn to write patterns, costs, ages, and perimeters with letters. The page follows the 2026-27 NCERT Mathematics (Part 1) book. It also explains substitution, like terms, and simple algebraic expressions.
- Chapter focus: Letter-numbers, expressions, substitution, formulas, like terms, and simplification.
- Key rule: Combine terms only when they have the same letter part.
- Revision goal: Translate words into expressions and check them with number values.
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These Collegedunia notes follow the 2026-27 NCERT Ganita Prakash chapter and use textbook-style examples for quick revision.
Expressions using Letter-Numbers Topic Map for Class 7 Maths
The chapter moves from everyday relations to short algebraic forms. Each topic adds one useful skill for writing or simplifying expressions.
| Topic | Main idea | Revision priority |
|---|---|---|
| Letter-numbers | A letter stands for a number that may change | High |
| Algebraic expressions | Numbers, letters, and operations show a mathematical relation | High |
| Substitution | Replace a letter with its given number value | High |
| Like terms | Terms with the same letter part can be combined | High |
| Formulas | A general rule is written in a short mathematical form | Medium |
Expressions using Letter-Numbers Quick Revision
Source: Magnet Brains on YouTube
Letter-Numbers and Algebraic Expressions with Everyday Examples
A letter-number is a letter used to represent a number. Its value can change with the situation. If Aftab's age is a, Shabnam's age is a + 3.
- n L-shapes need 2n matchsticks.
- c coconuts at Rs 35 each cost 35c rupees.
- j kilograms of jaggery at Rs 60 cost 60j rupees.
- A square with side q has perimeter 4q.
An algebraic expression gives one rule for every allowed value of its letters. This makes a pattern shorter and easier to use.
How to Write Expressions from Words and Patterns
First choose a letter for the unknown number. Then follow the order stated in the sentence. Similar phrases can give different expressions.
| Words | Expression | Meaning |
|---|---|---|
| 5 more than a number x | x + 5 | Add 5 to x |
| 4 less than a number y | y - 4 | Subtract 4 from y |
| 2 less than 13 times n | 13n - 2 | Multiply first, then subtract |
| 13 less than 2 times m | 2m - 13 | Subtract 13 from 2m |
Order words matter. The phrases "2 less than 13 times n" and "13 less than 2 times n" are not equal.
Substitution and the Missing Multiplication Sign
Algebra often leaves out the multiplication sign between a number and a letter. The number is written first, so 4 times n becomes 4n.
- Write the expression clearly.
- Replace each letter with its given value.
- Use brackets around negative values.
- Follow the correct order of operations.
If k = 4, then 7k = 7 times 4 = 28. If m = 2, then 5m + 3 = 13. A missing multiplication sign never means that the digits should be joined.
Like Terms and Simplifying Algebraic Expressions
Like terms contain the same letter part. Their number parts can be added or subtracted. Unlike terms stay separate.
- 5c + 3c + 10c = 18c.
- 12n - 4n = 8n.
- l + b + l + b = 2l + 2b.
- 18c + 11d cannot be combined further.
The distributive property explains this rule: 5c + 3c equals (5 + 3)c. Only the coefficients change when like terms combine.
Common Mistakes in Expressions using Letter-Numbers
Most errors come from reading symbols too quickly. Check the letter, sign, and order before calculating a value.
- Do not read 3d as 3 + d.
- Do not combine 5c and 3d because their letter parts differ.
- For a = -4, write 10 - (-4), not 10 - 4.
- Do not change the order in phrases such as "4 less than x".
Check an expression by trying one simple number value. A wrong sign or operation becomes easier to spot.
Expressions using Letter-Numbers Class 7 Related Resources
Use the textbook for activities and the handwritten notes for a short final revision.
| Resource | Link |
|---|---|
| NCERT Book PDF | Expressions using Letter-Numbers Class 7 NCERT Book PDF |
| Handwritten Notes | Expressions using Letter-Numbers Class 7 Handwritten Notes |
NCERT Notes for Class 7 Mathematics (Part 1): All Chapters
Use this table to move between Mathematics (Part 1) notes during revision.
| Chapter | Notes |
|---|---|
| Chapter 1 | Large Numbers Around Us Notes |
| Chapter 2 | Arithmetic Expressions Notes |
| Chapter 3 | A Peek Beyond the Point Notes |
| Chapter 4 | Expressions using Letter-Numbers Notes |
| Chapter 5 | Parallel and Intersecting Lines Notes |
| Chapter 6 | Number Play Notes |
| Chapter 7 | A Tale of Three Intersecting Lines Notes |
| Chapter 8 | Working with Fractions Notes |
Expressions using Letter-Numbers Class 7 Maths Notes FAQs
Ques. What is a letter-number?
Ans. A letter-number is a letter used to represent a number. Its value can change in different situations.
Ques. What is an algebraic expression?
Ans. It is a mathematical expression containing numbers, letter-numbers, and operations such as addition or multiplication.
Ques. What does 4n mean?
Ans. It means 4 multiplied by n. Algebra usually leaves out the multiplication sign between a number and a letter.
Ques. What are like terms?
Ans. Like terms have the same letter part. For example, 5c and 3c are like terms.
Ques. Can 5c and 3d be added as 8cd?
Ans. No. They are unlike terms because their letter parts differ, so the expression stays 5c + 3d.
Ques. Are these notes based on the 2026-27 NCERT book?
Ans. Yes. They follow Chapter 4 of the 2026-27 Ganita Prakash Mathematics (Part 1) book for Grade 7.
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