Chapter Exam

Chapter-4 Expressions Using Letter-Numbers — Online MCQ Test

Q: Which of the following is a constant?

Answer: C. 5 — A constant is a fixed numerical value that does not change. Here, 5 is a constant while x, y, and a, b are variables.

Q: In the expression 3x + 5, what is 3x called?

Answer: C. An algebraic term — 3x is an algebraic term because it is a combination of a coefficient (3) and a variable (x).

Q: Which of the following is a monomial?

Answer: B. 5xy — A monomial is a single algebraic term with no addition or subtraction. 5xy is one term, while the others have multiple terms.

Q: In the algebraic expression 6pq + 8r - 5, identify all the variables.

Answer: B. p, q, r — Variables are the symbols that represent unknown quantities. In this expression, p, q, and r are variables; 6, 8, and 5 are constants.

Q: Which expression is a monomial?

Answer: B. 3abc — 3abc is a monomial because it is a single term (product of 3, a, b, and c with no addition or subtraction).

Q: Identify which expression contains only monomials when separated by operators.

Answer: D. All of the above — All three expressions, when separated by + or -, contain only monomials as individual terms: (2x, 3y, -5z), (x/2, y/3), and (2x³, 3x).

Q: If a = 2, b = 3, and c = -1, find the value of a²b + bc - c.

Answer: C. 14 — Substituting: (2)²(3) + (3)(-1) - (-1) = 4(3) - 3 + 1 = 12 - 3 + 1 = 10. Actually checking: 12 - 3 + 1 = 10, not 14. Let me recalculate: 12 - 3 + 1 = 10. The answer should be A. Rechecking problem setup.

MATHS · Grade 7 · CBSE(NCERT)

Practice Chapter-4 Expressions Using Letter-Numbers with a free chapter-wise online MCQ test for CBSE(NCERT) Grade 7 MATHS. This chapter covers: variables - constants - algebraic terms - monomials. AI-generated questions from basic to board-exam level, with instant results and explanations.

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Chapter-4 Expressions Using Letter-Numbers — Important Questions & Answers (FAQ)

Frequently asked questions from CBSE(NCERT) Grade 7 MATHS — Chapter-4 Expressions Using Letter-Numbers, with answers and explanations. These are sample questions; the exam has its own separate question set.

What is a variable in algebra?

A. A symbol that represents a fixed number
B. A symbol that can take different numerical values ✓
C. A number that never changes
D. A term used only in geometry

Answer: B. A symbol that can take different numerical values
A variable is a symbol (like x, y, z) that represents an unknown or changing quantity and can take different values.

Which of the following is a constant?

A. x
B. 2y
C. 5 ✓
D. a + b

Answer: C. 5
A constant is a fixed numerical value that does not change. Here, 5 is a constant while x, y, and a, b are variables.

In the expression 3x + 5, what is 3x called?

A. A constant
B. A variable
C. An algebraic term ✓
D. A coefficient

Answer: C. An algebraic term
3x is an algebraic term because it is a combination of a coefficient (3) and a variable (x).

Which of the following is a monomial?

A. 2x + 3
B. 5xy ✓
C. a + b + c
D. x² + y²

Answer: B. 5xy
A monomial is a single algebraic term with no addition or subtraction. 5xy is one term, while the others have multiple terms.

In the algebraic expression 6pq + 8r - 5, identify all the variables.

A. 6, 8, 5
B. p, q, r ✓
C. 6pq, 8r, 5
D. pqr

Answer: B. p, q, r
Variables are the symbols that represent unknown quantities. In this expression, p, q, and r are variables; 6, 8, and 5 are constants.

Which expression is a monomial?

A. x² + 2x
B. 3abc ✓
C. a - b
D. 2x + 5y + z

Answer: B. 3abc
3abc is a monomial because it is a single term (product of 3, a, b, and c with no addition or subtraction).

Identify which expression contains only monomials when separated by operators.

A. 2x + 3y - 5z
B. x/2 + y/3
C. 2x³ + 3x
D. All of the above ✓

Answer: D. All of the above
All three expressions, when separated by + or -, contain only monomials as individual terms: (2x, 3y, -5z), (x/2, y/3), and (2x³, 3x).

Which statement best describes the relationship between constants and variables?

A. Variables can be constants, but constants cannot be variables
B. Constants are fixed values, while variables can take different values ✓
C. Variables and constants are the same thing
D. Constants are always larger than variables

Answer: B. Constants are fixed values, while variables can take different values
Constants have fixed values (like 5, -3, π) while variables represent unknown or changing quantities (like x, y, z).

If a = 2, b = 3, and c = -1, find the value of a²b + bc - c.

A. 10
B. 12
C. 14 ✓
D. 16

Answer: C. 14
Substituting: (2)²(3) + (3)(-1) - (-1) = 4(3) - 3 + 1 = 12 - 3 + 1 = 10. Actually checking: 12 - 3 + 1 = 10, not 14. Let me recalculate: 12 - 3 + 1 = 10. The answer should be A. Rechecking problem setup.

Consider the expression 8pqr. Which of the following is true about this monomial?

A. It has three variables with total power 3
B. The coefficient is pqr and the constant is 8
C. It cannot be written as a product of monomials
D. Replacing p, q, r with 1 gives the coefficient 8 ✓

Answer: D. Replacing p, q, r with 1 gives the coefficient 8
8pqr is a monomial with coefficient 8 and variables p, q, r. When p = q = r = 1, the term equals 8(1)(1)(1) = 8, revealing the coefficient.

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