CBSE Class 7 Maths Chapter 4: Expressions using Letter-Numbers — Assertion & Reason
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The following Assertion and Reason questions are based on Chapter 4: Expressions Using Letter-Numbers from the NCERT Class 7 Mathematics textbook. Each question has four options - read both the Assertion (A) and Reason (R) carefully before selecting your answer.
How to attempt Assertion & Reason questions:
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is NOT the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is NOT the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Assertion & Reason Questions
1
Assertion (A): A letter-number can represent a number whose value may vary.
Reason (R): Using a letter expresses a general relationship compactly.
Reason (R): Using a letter expresses a general relationship compactly.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. A single formula can cover many numerical cases.
2
Assertion (A): If Aftab's age is a, an age three years older is a + 3.
Reason (R): The perimeter of a square of side s is 4s.
Reason (R): The perimeter of a square of side s is 4s.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but the perimeter fact does not explain the age relation.
3
Assertion (A): The expression for five times x is 5x.
Reason (R): It is x + 5.
Reason (R): It is x + 5.
Answer: (c)
A is true, but R is false. Multiplication and addition represent different operations.
4
Assertion (A): The expression 3a means 3 + a.
Reason (R): It means 3 multiplied by a.
Reason (R): It means 3 multiplied by a.
Answer: (d)
A is false, but R is true. Juxtaposition denotes multiplication.
5
Assertion (A): Like terms have the same letter part.
Reason (R): Their numerical coefficients can be added or subtracted.
Reason (R): Their numerical coefficients can be added or subtracted.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. This produces an equivalent simplified expression.
6
Assertion (A): The terms 3x and -5x are like terms.
Reason (R): The terms 3x and 3y are unlike when x and y denote different variables.
Reason (R): The terms 3x and 3y are unlike when x and y denote different variables.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but the second classification does not explain the first.
7
Assertion (A): The expression 4x + 3x simplifies to 7x.
Reason (R): The variable x disappears when coefficients are added.
Reason (R): The variable x disappears when coefficients are added.
Answer: (c)
A is true, but R is false. Like terms retain their common variable part.
8
Assertion (A): The terms 2a and 2 can be combined as 4a.
Reason (R): A variable term and a constant are unlike terms.
Reason (R): A variable term and a constant are unlike terms.
Answer: (d)
A is false, but R is true. They cannot be combined by coefficient addition.
9
Assertion (A): Substituting x = 4 in 3x + 2 gives 14.
Reason (R): The expression becomes 3 x 4 + 2.
Reason (R): The expression becomes 3 x 4 + 2.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. The calculation gives 14.
10
Assertion (A): The expression 2(n + 1) can model twice the successor of n.
Reason (R): An algebraic expression may contain brackets.
Reason (R): An algebraic expression may contain brackets.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but brackets alone do not explain this model.
11
Assertion (A): When n = 5, n squared equals 25.
Reason (R): n squared means n + n.
Reason (R): n squared means n + n.
Answer: (c)
A is true, but R is false. It means n multiplied by itself.
12
Assertion (A): The expressions x + x and x squared are identical.
Reason (R): x + x = 2x, whereas x squared = x x x.
Reason (R): x + x = 2x, whereas x squared = x x x.
Answer: (d)
A is false, but R is true. They are generally unequal.
13
Assertion (A): The distributive property gives 3(x + 2) = 3x + 6.
Reason (R): The outside factor multiplies each term inside the bracket.
Reason (R): The outside factor multiplies each term inside the bracket.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. This is the distribution rule.
14
Assertion (A): The perimeter of a rectangle of length l and width w is 2l + 2w.
Reason (R): The area of the rectangle is lw.
Reason (R): The area of the rectangle is lw.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but area does not explain perimeter.
15
Assertion (A): The expression 5(a - 2) expands to 5a - 10.
Reason (R): The factor 5 multiplies only a.
Reason (R): The factor 5 multiplies only a.
Answer: (c)
A is true, but R is false. It multiplies both terms.
16
Assertion (A): The expression 2x + 3 has the same value for every x.
Reason (R): Its value changes when x changes.
Reason (R): Its value changes when x changes.
Answer: (d)
A is false, but R is true. It is not constant.
17
Assertion (A): Algebra can describe a pattern without listing every case.
Reason (R): A variable can stand for the step number.
Reason (R): A variable can stand for the step number.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. The resulting expression gives a general term.
18
Assertion (A): Different algebraic expressions may be equivalent.
Reason (R): For example, 2(x + 3) and 2x + 6 agree for all x.
Reason (R): For example, 2(x + 3) and 2x + 6 agree for all x.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but the example verifies rather than fully explains equivalence.
19
Assertion (A): The expression x - x equals 0 for every x.
Reason (R): It equals x for all x.
Reason (R): It equals x for all x.
Answer: (c)
A is true, but R is false. A quantity minus itself is zero.
20
Assertion (A): A letter-number must always represent a positive whole number.
Reason (R): Its allowed values depend on the problem context.
Reason (R): Its allowed values depend on the problem context.
Answer: (d)
A is false, but R is true. Variables may represent other kinds of numbers.
❓ Frequently Asked Questions
What is covered in CBSE Class 7 Maths Chapter 4 Expressions using Letter-Numbers?
This chapter covers all key topics from Expressions using Letter-Numbers as per CBSE 2026-27 syllabus.
Is this Assertion & Reason useful for CBSE board exams?
Yes, designed for CBSE Class 7 board exam preparation covering the complete syllabus.
Are these CBSE Class 7 Maths Assertion & Reason updated for 2026-27?
Yes, all content at eBookPublisher is updated as per the latest 2026-27 CBSE syllabus.
How many chapters are in CBSE Class 7 Maths?
All chapters of CBSE Class 7 Maths are covered at eBookPublisher with free Assertion & Reason for each chapter.
Can I study Expressions using Letter-Numbers online for free?
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