Class 7 Algebraic Expressions Worksheet (Expressions using Letter-Numbers)
Make a printable sheet on letter-numbers in seconds: write expressions from words, collect like terms, find values and solve short word problems. Every click gives new questions with an answer key.
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- Updated October 2026
1Class, subject and chapter
Class SubjectNCERT Ganita Prakash: Ch 6 Perimeter and Area
2Questions
Questions on each sheet Difficulty Different setsEach set has different questions, so children sitting together cannot copy.
3Header and answer key
Class 6 · 15 questions · answer key included
Every click on New questions makes a fresh sheet with its own answer key. A4 size; print at 100%. The questions are written for practice and are not taken from any textbook.
What "Expressions using Letter-Numbers" is about
Chapter 4 of Ganita Prakash Part 1 (Class 7) introduces a big idea: a letter can stand for a number that changes or is not known yet. Instead of working out the cost of 3 pens, then 5 pens, then 8 pens, a child writes one rule, such as 12n, that works for any number of pens. The chapter then asks children to read and write such expressions, put like terms together and find the value of an expression when the letter is given a number. Many tuition notes and older books call this topic "algebraic expressions", so this page uses both names.
The worksheet generator practises these skills with several kinds of questions:
- turning a phrase like "4 less than 3 times p" into an expression;
- adding and subtracting like terms, for example 6a + 2a – 5a;
- finding the value of an expression such as 4y + 3 when y = 6;
- multiple choice and true or false questions built around common slips;
- matching phrases with expressions;
- short word problems about the price of pens, the gap between two friends' ages and rows of matchstick squares.
From Medium level, some questions also mix numbers with letter terms or ask the child to open a bracket, such as 3(x + 4).
How to make the sheet
- The page opens with Class 7 and this chapter already chosen, at Medium level with 15 questions.
- Pick Easy for a child who has just met letter-numbers. The numbers stay small and the phrases short.
- Move to Medium once the child can explain why 3x + 2x is 5x but 3x + 2 is not.
- Use Hard with 20 or 25 questions as a chapter test before the unit exam.
- Teachers can choose Sets A, B, C so that children sitting together get different questions.
- Download the PDF or print it. Press New questions whenever you want a fresh sheet with its own answer key.
Tips for parents and teachers
The most common mistake in this chapter is joining unlike terms: a child writes 4n + 5 = 9n because the two numbers seem to belong together. Ask the child to read 4n + 5 as "4 boxes of n laddoos and 5 loose laddoos". Most children then see why the two parts stay separate. A second slip is order in phrases like "7 less than x", which is x – 7, not 7 – x. Underline the words "less than" and ask what we start with before taking 7 away.
When you check with the answer key, remember that an expression can be written in more than one correct order. 3 + 2a and 2a + 3 mean the same thing, so mark the meaning, not the order. For word problems, the key gives the expression first and then the value. Give part marks for a correct expression even if the final multiplication goes wrong.
Short, regular practice works well here: one 10-question sheet two or three times a week is easier to keep up than one long sheet the night before a test. If brackets and order of operations still trouble your child, revise the arithmetic expressions worksheet first. Once this chapter feels easy, the simple equations worksheet is the natural next step.
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Frequently asked questions
What is a letter-number in Class 7 maths?
A letter-number is a letter, such as n or x, that stands for a number which can change or is not known yet. Chapter 4 of Ganita Prakash Part 1 uses this name. Older books and most tuition notes call it a variable, and an expression built with it an algebraic expression.
What is the difference between like and unlike terms?
Like terms have the same letter part, such as 4y and 9y, so they can be added into 13y. Unlike terms, such as 4y and 9, or 4y and 9p, cannot be joined into one term. The true or false questions on this sheet check exactly this point.
My child writes 3x + 4 = 7x. How do I explain why that is wrong?
Put a number in place of x. If x = 2, then 3x + 4 is 6 + 4 = 10, but 7x is 14, so the two cannot be equal. Doing this check with two or three values usually convinces a child faster than repeating the rule.
Does this worksheet cover the whole chapter?
It covers the main skills: writing expressions from words, simplifying like terms, finding the value of an expression, opening simple brackets and word problems on prices, ages and matchstick patterns. It does not reproduce the activities and puzzles in the textbook, so use it alongside the book exercises, not instead of them.