Class 7 Maths Part 1 Chapter 4 Expressions using Letter-Numbers is the first step into algebra. These class 7 maths handwritten notes chapter 4 Expressions using Letter-Numbers follow the 2026-27 NCERT and cover letter-numbers, simplification and patterns.
- Algebra rules boxed: the omission of the multiplication sign and the like-terms rule
- What the notes cover: what a letter-number is, writing relations with letters, simplifying, and finding patterns
- Best for: the simplify-the-expression question, the highest-scoring type in this chapter
Everything described here is in the class 7 maths handwritten notes PDF for Expressions using Letter-Numbers, linked below.
These handwritten notes are written by Maths teachers, mapped to the 2026-27 NCERT Ganita Prakash book, and checked against Class 7 school question papers.
Section-by-Section Map of the Expressions using Letter-Numbers Notes
The chapter starts with Shabnam who is three years older than Aftab. Writing that relation with a letter is the whole idea of algebra in one example.
- The notion of a letter-number
- Writing a relation using a letter
- Revisiting arithmetic expressions with letters
- Omitting the multiplication symbol
- Terms, coefficients and constants
- Like terms and unlike terms
- Simplification of algebraic expressions
- Picking patterns and revealing relationships
- Checking a relation by substituting values
How Collegedunia Wrote These Expressions using Letter-Numbers Notes
The parts of an expression are labelled on one example, so the vocabulary is visible rather than listed. Collegedunia checks every page of these class 7 maths handwritten notes against the textbook.
- Labelled expression: one expression with its terms, coefficients and constant named
- Like-terms sorter: mixed terms sorted into groups that can be combined
- Solved simplifications: each written line by line with the working shown
- Colour-coded sub-headings: sub-topics in red so each rule is easy to find
How CBSE Class 7 Maths Splits Marks Across Expressions using Letter-Numbers
Simplification carries the marks. Writing a word relation as an expression is the second biggest.
| Sub-topic | Weightage | How often asked |
|---|---|---|
| Simplifying by combining like terms | High | asked often |
| Writing a word relation using a letter | High | asked often |
| Substituting a value into an expression | High | asked often |
| Terms, coefficients and constants | Medium | asked sometimes |
| Omission of the multiplication sign | Medium | asked sometimes |
| Patterns and relationships | Low | asked rarely |
The Expressions using Letter-Numbers Vocabulary CBSE Class 7 Maths Expects
Algebra marks depend on using the right name for each part.
| Term / Idea | What it means |
|---|---|
| Letter-number | a letter that stands for a number |
| Variable | a quantity that can take different values |
| Term | a part of an expression separated by a plus or minus sign |
| Coefficient | the number multiplying a letter in a term |
| Constant | a term with a fixed value and no letter |
| Like terms | terms with exactly the same letter part |
| Simplify | to write an expression in its shortest correct form |
Expressions using Letter-Numbers Practice Questions with Answers
Five algebra questions. Tap to see each answer.
Simplify 3a + 5a.
(a) 8a (b) 15a (c) 8 (d) 3a5a
Answer: (a) 8a, since they are like terms
Can 3a and 5b be combined into one term?
(a) yes, 8ab (b) yes, 8 (c) no, they are unlike terms (d) yes, 15ab
Answer: (c) no, they are unlike terms
In the term 7x, the number 7 is called the
(a) variable (b) constant (c) coefficient (d) term
Answer: (c) coefficient
If Aftab is x years old and Shabnam is 3 years older, Shabnam's age is
(a) 3x (b) x + 3 (c) x - 3 (d) 3 - x
Answer: (b) x + 3
What is the value of 2y + 5 when y = 4?
(a) 9 (b) 11 (c) 13 (d) 20
Answer: (c) 13, since 2 times 4 is 8, plus 5
Why Expressions using Letter-Numbers Matters Beyond Class 7
Algebra begins here, and it never stops. Every later class builds on the like-terms rule learned in this chapter.
- A simplification question appears in every Class 7 test
- Substitution questions ask you to find the value for a given number
- Word relations written with letters are a standard two-mark answer
- Part 2 Chapter 7 uses these expressions to build equations
One-Page Recall Card for Expressions using Letter-Numbers
The card to read just before the test.
- A letter stands for a number you do not know yet
- 4a means 4 multiplied by a
- Only like terms combine: 3a + 5a = 8a
- The coefficient is the number in front of the letter
- Check your answer by substituting a small value
What the Expressions using Letter-Numbers Notes Draw Out for You
Algebra becomes concrete when the parts are drawn and labelled.
| Figure drawn by hand | What it shows |
|---|---|
| Labelled expression | terms, coefficients and the constant marked with arrows |
| Like-terms sorter | mixed terms grouped into boxes that can be combined |
| Age relation strip | Aftab's age and Shabnam's age shown as two bars |
| Pattern table | a number pattern with its rule written as an expression |
Fitting the Expressions using Letter-Numbers Notes Into Your Revision Week
Substitute a number into every expression you simplify. It catches mistakes immediately. Treat the class 7 maths handwritten notes as a revision tool, not as a first-time textbook.
- Label the terms, coefficients and constants in five expressions
- Simplify ten expressions by combining like terms
- Check each answer by substituting a small number
- Before the test, revise the like-terms rule and the labelled expression
Pair the Expressions using Letter-Numbers Notes With These
Use the notes with the solved exercises and the Ganita Prakash chapter itself.
Class 7 Maths Handwritten Notes Chapter List
The class 7 maths handwritten notes for all chapters are listed below. Ganita Prakash Part 1 has eight chapters and Part 2 has seven.
| Chapter | Resource |
|---|---|
| Part 1 Chapter 1 | Large Numbers Around Us Handwritten Notes |
| Part 1 Chapter 2 | Arithmetic Expressions Handwritten Notes |
| Part 1 Chapter 3 | A Peek Beyond the Point Handwritten Notes |
| Part 1 Chapter 4 | Expressions using Letter-Numbers Handwritten Notes |
| Part 1 Chapter 5 | Parallel and Intersecting Lines Handwritten Notes |
| Part 1 Chapter 6 | Number Play Handwritten Notes |
| Part 1 Chapter 7 | A Tale of Three Intersecting Lines Handwritten Notes |
| Part 1 Chapter 8 | Working with Fractions Handwritten Notes |
| Part 2 Chapter 1 | Geometric Twins Handwritten Notes |
| Part 2 Chapter 2 | Operations with Integers Handwritten Notes |
| Part 2 Chapter 3 | Finding Common Ground Handwritten Notes |
| Part 2 Chapter 4 | Another Peek Beyond the Point Handwritten Notes |
| Part 2 Chapter 5 | Connecting the Dots... Handwritten Notes |
| Part 2 Chapter 6 | Constructions and Tilings Handwritten Notes |
| Part 2 Chapter 7 | Finding the Unknown Handwritten Notes |
Expressions using Letter-Numbers Class 7 Maths Handwritten Notes FAQs
Ques. Where can I download the Expressions using Letter-Numbers Class 7 Handwritten Notes PDF?
Ans. The PDF is on this page, free, in both the normal and the HD version.
Ques. What is a letter-number in Class 7 Maths?
Ans. A letter that stands for a number. Using a letter lets you write a relation once so that it holds for every value, instead of writing it out for each number separately.
Ques. How many pages is the Chapter 4 handwritten notes PDF?
Ans. It runs 20 pages and covers all five sections of the chapter plus a quiz.
Ques. What are like terms?
Ans. Terms that have exactly the same letter part, such as 3a and 5a. Only like terms can be added or subtracted, so 3a + 5a is 8a, while 3a + 5b cannot be combined.
Ques. Why is the multiplication sign left out in algebra?
Ans. To keep expressions short and to avoid confusing the sign with the letter x. So 4 multiplied by a is written as 4a.
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