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Important Questions: CBSE Class 7 Mathematics Chapter 4 Expressions Using Letter-Numbers

Chapter 4 Expressions Using Letter-Numbers bridges arithmetic and algebra, introducing variables, constants, algebraic expressions, like and unlike terms, and substitution. This transition is critical for Class 8 and beyond. The chapter typically contributes 4–6 marks in annual CBSE exams through a mix of objective and descriptive questions. This question bank presents 18 representative problems across all difficulty levels with complete model answers to help students prepare systematically.

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Key takeaways

  • ✓Chapter 4 carries 4–6 marks in Class 7 Mathematics annual exams and introduces algebraic expressions, variables, constants and substitution.
  • ✓1-mark questions test identification of variables, constants, like terms and basic substitution through MCQs and VSAs.
  • ✓2-mark questions ask for coefficient identification, combining like terms, and simple expression evaluation.
  • ✓3-mark questions require multi-step substitution, forming expressions from word problems, and classifying multiple terms.
  • ✓5-mark case-based questions combine real-life scenarios with expression formation, substitution and term operations.
  • ✓Common mistakes include adding unlike terms, incorrect sign handling during substitution, and confusing coefficients with variables.
  • ✓CBSETUTOR.ai offers unlimited doubt-solving for Chapter 4 with photo-upload at ₹999/month for all classes 6–12, with a 3-day free trial.

Chapter Overview and Marks Weightage in CBSE Exams

Chapter 4 Expressions Using Letter-Numbers appears in the NCERT Class 7 Mathematics textbook as the foundational chapter for algebra. In CBSE school-level assessments, this chapter typically carries 4 to 6 marks. The question pattern includes 1–2 MCQs or VSAs worth 1 mark each, one 2-mark short-answer question, and occasionally a 3-mark question. Some schools include this content in case-based integrated questions worth 4–5 marks. The chapter covers four main topics: variables and constants (identifying and distinguishing), algebraic expressions (formation and vocabulary), like and unlike terms (classification and addition/subtraction), and substitution (evaluating expressions by replacing variables with numbers). Mastering this chapter is essential because it forms the base for Linear Equations (Chapter 5), Perimeter and Area formulas (Chapter 11), and all algebraic manipulation in Classes 8–10. Students who struggle here often face difficulty in factorization, equation-solving and formula application later.
  • Typical weightage: 4–6 marks in annual exams, 2–4 marks in mid-term tests
  • Question types: 1–2 MCQs/VSAs (1 mark), 1 short answer (2 marks), 0–1 long answer (3 marks)
  • Topics tested: variable/constant identification, like/unlike term classification, substitution, expression formation
  • Integration with other chapters: often combined with Perimeter-Area or word problems in case studies

1-Mark Questions: MCQ and Very Short Answer (VSA)

One-mark questions test basic recognition and terminology. They appear as multiple-choice questions or very short answer types requiring single-word or one-line answers. These questions assess whether students can identify variables, constants, coefficients, like terms and unlike terms in given expressions. They also test simple substitution where only one value is replaced. Students should practice quick identification without lengthy working. Common formats include: 'Which of the following are like terms?', 'The coefficient of y in 5y is...', 'If x = 2, find the value of 3x.' Accuracy and speed are crucial since each carries just 1 mark but can cumulatively affect the total score significantly. Below are representative 1-mark questions with model answers.

2-Mark Questions: Short Answer Type

Two-mark questions require brief working and a clear final answer. They typically involve combining like terms, evaluating expressions through substitution with one or two variables, identifying coefficients of all terms in a multi-term expression, or forming simple algebraic expressions from statements. Students must show at least one intermediate step to earn full marks. Common question stems: 'Simplify by combining like terms', 'Evaluate the expression when x =... and y =...', 'Write an expression for the statement and identify its terms.' Marks are split: 1 mark for method/steps, 1 mark for correct answer. Clarity in presentation is important — examiners look for systematic working. Below are six representative 2-mark questions with model solutions.

3-Mark Questions: Detailed Working Required

Three-mark questions demand multi-step solutions, clear reasoning and neat presentation. Typical formats include: evaluating complex expressions with substitution of two or more variables, forming expressions from word problems and then simplifying, classifying all terms in a long expression as like/unlike and then combining, or solving application-based problems involving perimeter or simple patterns. Marking scheme usually awards 1 mark for correct substitution/setup, 1 mark for intermediate simplification, and 1 mark for final answer. Students lose marks if steps are missing or if arithmetic errors occur midway. Below are four representative 3-mark questions with complete model answers showing the expected level of detail.

5-Mark Questions and Case-Based Problems

Five-mark questions or case-based questions integrate multiple concepts from the chapter with real-life contexts. CBSE encourages case studies where a short paragraph describes a scenario — a shop pricing model, a garden layout, a student's pocket-money plan — followed by 3–4 sub-questions totaling 4–5 marks. Students must read carefully, extract numerical data, form algebraic expressions, substitute values, and interpret results. Marks are distributed across sub-parts. Full marks require correct expression formation, accurate substitution, proper simplification and clear final statements. Below are two representative case-based problems with complete solutions showing mark distribution.

How CBSE Frames Questions from This Chapter

CBSE question papers for Class 7 Mathematics follow a predictable pattern for Chapter 4. The board emphasizes conceptual clarity over rote memorization, so questions often blend terminology with application. One-mark MCQs test direct recall: 'Which is a like term?', 'Identify the coefficient'. Two-mark questions require procedure: 'Combine like terms', 'Evaluate by substitution'. Three-mark questions integrate concepts: 'Simplify first, then substitute', 'Form an expression and find its value'. Five-mark case-based questions embed algebra in real-world scenarios — shopping bills, measurement problems, patterns. CBSE avoids trick questions but expects precise language. For instance, students must write 'coefficient of x is -5' not just '-5'. Variable names matter: if the question uses 'p', the answer must use 'p', not 'x'. Recent trends show increased use of visual aids (tables, diagrams) in case studies and a preference for expressions involving two or three variables to test deeper understanding. Examiners award partial marks generously if method is correct even if arithmetic has minor slips, but award zero if the approach is fundamentally wrong.
  • MCQs focus on like/unlike terms, coefficients, constants and basic substitution
  • Short-answer questions test combining like terms and forming expressions from statements
  • Long-answer questions blend simplification with substitution or practical context
  • Case-based questions use real-life scenarios: shopping, measurement, pocket money, patterns
  • Partial marking: 1 mark for correct method even if final answer has arithmetic error
  • Precision in language is rewarded: 'coefficient of y is 3' not just 'it is 3'

Common Mistakes Students Make and How to Avoid Them

Several recurring errors cost students marks in Chapter 4 questions. First, adding or subtracting unlike terms: many write '3x + 4y = 7xy', which is incorrect because x and y are different variables. Remember that only like terms (same variable, same power) can be combined. Second, sign errors during substitution: if the expression is '5 - 2x' and x = 3, students often write 5 - 2(3) = 5 - 6 = 11 instead of -1, forgetting the negative sign. Always use parentheses when substituting. Third, confusing coefficient with variable: when asked for the coefficient of x in -7x, writing 'x' instead of '-7'. The coefficient is the numerical part, including the sign. Fourth, misinterpreting word problems: 'five more than twice a number n' should be 2n + 5, not 5 + 2 + n. Read carefully and translate step-by-step. Fifth, forgetting constant terms: in 4a + 3, students list only '4a' as a term, missing '3'. Every number or product separated by + or - is a term. Sixth, incorrect use of brackets in substitution: for a - b when a = 2 and b = 5, writing 2 - 5 = -3 is correct, but many write 2 - 5 = 3. Finally, poor handwriting and unclear working lead to lost marks even when the method is correct. Always show intermediate steps clearly.
  • Never combine unlike terms: 3x + 4y cannot become 7xy
  • Use parentheses during substitution to handle negative values correctly
  • Coefficient includes the sign: coefficient of x in -7x is -7, not 7
  • Translate word problems step-by-step: 'twice a number increased by 5' = 2n + 5
  • Count constant terms separately: 4a + 3 has two terms, not one
  • Handle negative results carefully: 2 - 5 = -3, not 3
  • Write neatly and show all working to claim partial marks

Topic-Wise Question Strategy for Maximum Marks

To score full marks in Chapter 4, adopt a topic-wise revision strategy. Start with variables and constants: practice identifying these in mixed expressions and writing your own examples. Then tackle like and unlike terms: make flashcards with pairs of terms and classify them quickly. Next, move to coefficients: underline the numerical part including sign in various expressions. For substitution, work through at least 10 examples where you replace one variable, then two variables, then expressions with brackets. Time yourself — substitution questions should take under 2 minutes for 2 marks. For forming expressions from word problems, maintain a phrase bank: 'sum of' means +, 'product of' means ×, 'less than' reverses order (5 less than x is x - 5, not 5 - x). Practice translating 15–20 word statements into expressions. Before the exam, solve the NCERT exercise questions at least twice, then attempt previous years' school papers. Focus on neat presentation: use = signs correctly, box final answers, label steps. During the exam, read each question twice, underline keywords, and allocate time per mark (roughly 1.5 minutes per mark). Attempt all parts of case-based questions even if you are unsure; partial marks add up.
  • Master variables and constants first; create 10 examples of each
  • Classify 20 pairs of terms as like/unlike to build speed and accuracy
  • Practice substitution with single variable, two variables, and with brackets separately
  • Build a phrase bank for word-to-algebra translation: 'increased by' = +, 'product' = ×, etc.
  • Solve NCERT exercises twice, then move to previous years' school question papers
  • Time management: spend ~1.5 minutes per mark; attempt all sub-questions in case studies

How CBSETUTOR.ai Helps Master Expressions Using Letter-Numbers

Many Class 7 students in Tier-2 and Tier-3 cities lack access to quality coaching for Mathematics, especially for foundational algebra chapters like Expressions Using Letter-Numbers. CBSETUTOR.ai bridges this gap by offering a 24×7 AI tutor accessible on any smartphone. Students can photograph any question from Chapter 4 — whether from NCERT exercises, school worksheets, or previous papers — and receive step-by-step solutions within seconds. The AI explains each step in simple language, showing how to identify like terms, perform substitution correctly, and avoid common sign errors. Unlike generic video lectures, the platform provides personalized doubt-clearing: if a student makes the same mistake twice, the AI flags it and offers targeted practice questions. Parents appreciate the flat ₹999 per month pricing for all classes 6–12 with no hidden fees, and the 3-day free trial lets families test the platform risk-free. For Chapter 4, students particularly benefit from instant feedback on expression formation and substitution problems, where small errors can cascade. The AI tutor also generates unlimited practice questions with varying difficulty, helping students build confidence before school tests. This on-demand support is especially valuable during exam week when doubts arise late at night and no human tutor is available.
  • Photo-upload feature: snap any Chapter 4 question and get step-by-step solutions instantly
  • Personalized error tracking: AI flags repeated mistakes in like-term combining or substitution
  • Unlimited practice generator: creates fresh questions on variables, constants, expressions, substitution
  • Flat ₹999/month for all classes 6–12; 3-day free trial with no payment required upfront
  • Available 24×7 on mobile, ideal for last-minute doubts during exam preparation
  • Particularly helpful for Tier-2/Tier-3 students without access to local coaching centres

Quick Revision Checklist Before the Exam

Use this checklist 48 hours before your Class 7 Mathematics exam to ensure Chapter 4 readiness. First, verify you can define and give examples of: variable, constant, coefficient, term, like terms, unlike terms, algebraic expression. Second, solve one question of each type without looking at solutions: identify like terms, combine like terms, substitute one variable, substitute two variables, form an expression from a statement. Third, review common mistakes: never add unlike terms, always use brackets in substitution, include signs in coefficients. Fourth, memorize key phrases: 'sum of x and y' = x + y, 'difference of a and b' = a - b, 'product of p and q' = pq, 'twice a number n' = 2n, '5 more than m' = m + 5, '3 less than k' = k - 3. Fifth, practice writing neat solutions with clear steps: expand brackets first, then combine like terms, finally substitute. Sixth, time yourself on 5 mixed questions (1-mark, 2-mark, 3-mark) — you should finish in under 15 minutes. Seventh, keep your NCERT textbook handy and skim the summary and examples. Finally, get 8 hours of sleep; a fresh mind prevents silly arithmetic errors. On exam day, read each question twice, underline what is given and what is asked, and always write units in the final answer if the question involves measurements or money.
  • Define and exemplify: variable, constant, coefficient, term, like terms, unlike terms
  • Solve one of each question type without help to test retention
  • Review all common errors and how to avoid them
  • Memorize word-to-algebra phrase bank for quick translation
  • Practice neat step-wise solutions: expand → combine → substitute
  • Timed drill: 5 mixed questions in under 15 minutes
  • Skim NCERT summary and examples the night before
  • Sleep well and read exam questions twice before answering

Frequently asked questions

How many marks does Chapter 4 Expressions Using Letter-Numbers carry in CBSE Class 7 exams?+
Chapter 4 typically carries 4 to 6 marks in annual CBSE Class 7 Mathematics exams. Expect 1–2 one-mark MCQs or VSAs, one 2-mark short-answer question, and sometimes one 3-mark question. It may also appear in case-based integrated questions worth 4–5 marks.
What are like and unlike terms, and how do I identify them quickly?+
Like terms have exactly the same variable raised to the same power (e.g., 3x and -5x). Unlike terms differ in variable or power (e.g., 3x and 3y, or 2a and 2a²). Quick test: cover the coefficients; if what remains is identical, they are like terms and can be combined.
What is the most common mistake in substitution questions?+
The most common error is incorrect sign handling. For example, if the expression is 5 - 2x and x = 3, students often write 5 - 2 × 3 = 5 - 6 = 11 instead of -1. Always use parentheses: 5 - 2(3) = 5 - 6 = -1 to avoid confusion with negative results.
How should I form an algebraic expression from a word problem?+
Translate step-by-step. Identify the variable, then convert phrases: 'sum of' means +, 'product of' means ×, 'difference' means -, 'twice' means 2×, 'more than' means +, 'less than' reverses order (5 less than x is x - 5). Write the expression, label variables clearly, then substitute if values are given.
Can I add 3x and 4y to get 7xy?+
No. 3x and 4y are unlike terms because they have different variables. Unlike terms cannot be combined through addition or subtraction. The simplified form remains 3x + 4y. Only like terms (same variable, same power) can be added: 3x + 4x = 7x.
What is the difference between a coefficient and a constant?+
A coefficient is the numerical factor of a term containing a variable (e.g., in 5x, the coefficient is 5). A constant is a term with no variable, just a number (e.g., in 3x + 7, the constant is 7). Both are important when analyzing algebraic expressions.
How do I handle brackets during substitution?+
First expand the brackets if the expression has them, then substitute. For example, in 3(x + 2), expand to 3x + 6, then substitute x. Or substitute directly: 3(x + 2) when x = 4 becomes 3(4 + 2) = 3 × 6 = 18. Both methods work; use the one you find clearer.
Which NCERT exercises should I prioritize for exam preparation?+
Focus on NCERT Exercise 4.2 (like and unlike terms, combining terms) and Exercise 4.3 (substitution problems). These cover the majority of exam questions. Also solve all examples in the chapter text and attempt the optional Exercise 4.4 for extra practice on mixed problems.
How much time should I spend on a 3-mark question from this chapter?+
Allocate roughly 4–5 minutes for a 3-mark question (about 1.5 minutes per mark). This gives you time to read carefully, write clear steps, perform substitution or simplification, and double-check your arithmetic. Practice timed solving to build speed and accuracy.
How does CBSETUTOR.ai help with Chapter 4 Expressions Using Letter-Numbers?+
CBSETUTOR.ai offers 24×7 AI-powered doubt-solving via photo upload. Students can snap any Chapter 4 question and receive step-by-step solutions instantly. The platform tracks common errors (like adding unlike terms or sign mistakes), generates unlimited practice questions, and provides personalized feedback. All this at ₹999/month for classes 6–12 with a 3-day free trial.

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