Class 7 Maths Chapter 4: Expressions Using Letter Numbers Important Questions by PW

Algebra uses letters to represent numbers, helping you write mathematical expressions, recognise patterns, and solve everyday problems more efficiently. Students often find it challenging to identify like terms, simplify expressions, substitute values correctly, and convert word statements into algebraic expressions, especially when several operations appear together in the same question.

The Class 7 Maths Chapter 4 Important Questions provide structured practice on Expressions Using Letter Numbers through MCQs, case studies, assertion-reason, and application-based questions. Solving these problems helps you strengthen algebraic thinking, improve calculation accuracy, and build confidence before school assessments.

Class 7 Maths Chapter 4 Important Questions

Practise these Class 7 Maths Chapter 4 Important Questions to strengthen your understanding of algebraic expressions, variables, and real-life application of letter-number expressions before checking the answers.

Section A – 1 Mark Each

Q1. Which expression gives the total cost of x pens at ₹12 each and y pencils at ₹5 each?

• (A) 12x + 5y

• (B) x + y

• (C) 17xy

• (D) 12 + 5 + x + y

Answer: (A) 12x + 5y

Q2. Which of the following is the simplified form of 5m + 7m − 3m?

• (A) 9m

• (B) 15m

• (C) 10m

• (D) 5m

Answer: (A) 9m

Q3. The perimeter of a rectangle is 2l + 2b. What is the perimeter if l = 7 cm and b = 5 cm?

• (A) 24 cm

• (B) 20 cm

• (C) 26 cm

• (D) 22 cm

Answer: (A) 24 cm

Q4. If p = 6 and q = 2, find the value of 2(p − q) + q².

• (A) 10

• (B) 8

• (C) 12

• (D) 16

Answer: (C) 12

Q5. Which expression represents the area of a rectangle with length l and breadth b?

• (A) 2l + 2b

• (B) l + b

• (C) lb

• (D) 2(lb)

Answer: (C) lb

Case Study 1: Ritu Goes Shopping

Ritu buys:

• x kg potatoes at ₹20/kg

• y kg onions at ₹25/kg

• 2 kg tomatoes at ₹30/kg

Q6. What is the expression for the total cost?

• (A) 20x + 25y + 60

• (B) x + y + 2

• (C) 45x + 30

• (D) 20x + 25y + 2x

Answer: (A) 20x + 25y + 60

Q7. If x = 3 and y = 4, what is the total amount she spends?

• (A) ₹185

• (B) ₹240

• (C) ₹160

• (D) ₹150

Answer: (A) ₹240

Case Study 2: Arjun's Quiz

Rules:

• Each correct answer = p marks

• Each wrong answer = q marks deducted

• 10 correct and 3 wrong answers

Q8. What is Arjun's total score?

• (A) 10p − 3q

• (B) 10q − 3p

• (C) 10 + 3

• (D) pq − 3

Answer: (A) 10p − 3q

Q9. If p = 4 and q = 1, find his score.

• (A) 37

• (B) 40

• (C) 35

• (D) 30

Answer: (A) 37

Case Study 3: Train Journey

A train travels from A → B → C → D.

• Time between stations = t minutes

• Stops at B and C for 2 minutes each

Q10. What is the expression for the total travel time?

• (A) 3t

• (B) 3t + 4

• (C) 4t + 6

• (D) t + 6

Answer: (B) 3t + 4

Q11. If t = 8, find the total time.

• (A) 30

• (B) 28

• (C) 32

• (D) 26

Answer: (B) 28 minutes

Assertion and Reason

Q12.

Assertion: 4(x + y) − y = 4x + 3y

Reason: Distributive property is used to multiply the number outside the bracket with each term inside.

Answer: Both Assertion and Reason are true, and Reason correctly explains the Assertion.

Q13.

Assertion: 5x + 2x = 7x

Reason: We can only add coefficients of unlike terms.

Answer: Assertion is true, Reason is false.

Q14.

Assertion: If m = −6, then 3(m + 1) = −19.

Reason: 3 × (−6 + 1) = 3 × (−5) = −15.

Answer: Both Assertion and Reason are false.

Q15.

Assertion: Like terms can be added together.

Reason: Like terms have different variables.

Answer: Assertion is true, Reason is false.

Why Choose Class 7 Maths Chapter 4 Important Questions by PW?

Physics Wallah Class 7 Maths Chapter 4 Important Questions help you practise algebraic expressions through conceptual, calculation-based, and real-life application questions.

• Build Algebra Basics: Learn how letters are used to represent numbers.

• Simplify Expressions: Practise combining like terms correctly.

• Apply Substitution: Evaluate expressions by replacing variables with given values.

• Use Mathematical Formulae: Solve perimeter and area questions using algebraic expressions.

• Understand the Distributive Property: Simplify bracket-based expressions step by step.

• Solve Real-Life Problems: Convert shopping, travel, and quiz situations into algebraic expressions.

• Strengthen Logical Thinking: Practise assertion-reason and case-study questions.

• Prepare for School Exams: Revise important concepts through varied question types.

Algebra helps represent unknown quantities and solve practical problems using mathematical expressions. These Class 7 Maths Chapter 4 Important Questions provide structured practice with simplification, substitution, formulae, and application-based questions to help you build confidence before assessments.

Related Resources

• CBSE Class 7 Maths Syllabus 

• CBSE Class 7 Maths NCERT Solutions

• CBSE Class 7 Maths Sample Papers

• CBSE Class 7 Maths Notes