NCERT Solutions for Class 7 Mathematics (Part 1) Chapter 4 Expressions using Letter-Numbers help students practise the 2026-27 textbook questions on formulas, money expressions, calendar patterns, like terms and algebraic simplification. The PDF below keeps each answer stepwise so students can check the method before noting the final expression.
- Chapter focus: letter-numbers, formulas, terms, brackets, simplification and pattern rules.
- Question type: Figure it Out, Mind the Mistake and end-chapter expression problems.
- Best use: solve once in notebook, then compare with the PDF steps.
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Student Feedback: In a Collegedunia study check with 7,920 Class 7 students, 72% said expression chapters felt easier when word problems were first converted into a short formula box.
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Table of Contents |
Class 7 Maths Chapter 4 NCERT Solutions Overview
Class 7 Mathematics Chapter 4 introduces algebra through everyday situations. Students write expressions such as 20+k, 30x+20y and 4(r-1)+c by naming unknown quantities with letters. The solved PDF covers all main textbook questions from the chapter answer section.
Important: in this chapter, a letter-number stands for a number whose value may change. That is why the same expression can work for a pipe length, a calendar grid or a pattern of squares.
How to Form Expressions using Letter-Numbers
To form an expression, students first decide what the letter means. For example, if $k$ is the length of the added pipe, the total length is 20+k metres. If $x$ plates of Jowar roti and $y$ plates of Pulao are ordered, the total earning is 30x+20y.
- Use one letter for each unknown quantity.
- Multiply a price, length or count by the matching variable.
- Add or subtract only what the situation asks.
Simplification and Like Terms
Simplification in Expressions using Letter-Numbers depends on like terms. Terms such as $3a$ and $2a$ can be combined, but $3a$ and $2b$ cannot. Brackets need extra care because a minus sign before brackets changes every sign inside.
Common check: if the letter part is different, keep the terms separate. This prevents mistakes such as changing $3a+2b$ into $5$.
Pattern Formulas in Chapter 4
Pattern questions ask students to write one rule that works for many steps. For joined squares, the first square needs $4$ matchsticks and every next square adds $3$. So the formula for $w$ squares is 4+3(w-1).
In the four-column grid, the number in row $r$ and column $c$ is 4(r-1)+c. This is a compact way to describe every number in the grid.
Expressions using Letter-Numbers Video Lesson
Source: Physics Wallah
All Chapter 4 Question Cards with Solutions
Students can also open the separate question-card page for quick checking. Each card has the question, a check-solution panel and an expert-solution panel.
Related NCERT Resources
| Resource | Link |
|---|---|
| Chapter 4 Notes | NCERT Notes Class 7 Maths Chapter 4 |
| Chapter 4 Book PDF | NCERT Book PDF Class 7 Maths Chapter 4 |
| Chapter 4 Handwritten Notes | Handwritten Notes Class 7 Maths Chapter 4 |
Class 7 Maths Solutions for All Chapters
| Chapter | Solutions |
|---|---|
| Chapter 1 Large Numbers Around Us | Open solutions |
| Chapter 2 Arithmetic Expressions | Open solutions |
| Chapter 3 A Peek Beyond the Point | Open solutions |
Expressions using Letter-Numbers Class 7 Maths FAQs
Ques. What is a letter-number in Class 7 Maths Chapter 4?
Ans. A letter-number is a letter used to represent a number. For example, $k$ can stand for an unknown pipe length.
Ques. How do we simplify algebraic expressions in Chapter 4?
Ans. Combine like terms, remove brackets carefully and keep unlike terms separate. For example, $3a+2b$ is already simplified.
Ques. What is the formula for $w$ joined squares in Chapter 4?
Ans. The matchstick formula is $4+3(w-1)$ because the first square needs $4$ sticks and each next square adds $3$.
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