Chapter Exam

Chapter 2: Introduction to Algebra — Online MCQ Test

Q: Which of the following is a constant?

Answer: C. 5 — A constant is a fixed value that does not change, whereas x, y, and a are variables representing unknown quantities.

Q: What does the variable 'x' represent in the expression 3x + 2?

Answer: B. An unknown number that can vary — In the expression 3x + 2, x is a variable representing an unknown number that can take different values.

Q: Identify the constant in the algebraic expression 7a + 5.

Answer: C. 5 — The constant 5 is a fixed value in the expression, while 7a is a term with a variable a.

Q: If x = 5, what is the value of 2x + 3?

Answer: C. 13 — Substituting x = 5: 2(5) + 3 = 10 + 3 = 13.

Q: What is the next term in the pattern 3, 6, 9, 12, ...?

Answer: C. 15 — This is a pattern where each term increases by 3. The next term after 12 is 12 + 3 = 15.

Q: If a = 2, find the value of a² + 3a.

Answer: B. 10 — Substituting a = 2: (2)² + 3(2) = 4 + 6 = 10.

Q: A shopkeeper has n apples. He buys 15 more apples. Write an expression for the total number of apples. If n = 30, how many apples does he have now?

Answer: B. n + 15 = 45 — Total apples = n + 15. When n = 30: 30 + 15 = 45 apples.

Q: Which pair of values satisfies both expressions 2x + 1 and 3x - 2 being equal?

Answer: B. x = 3 — Setting 2x + 1 = 3x - 2: solving gives x = 3. Check: 2(3) + 1 = 7 and 3(3) - 2 = 7. Both equal.

MATHS · Samacheer Kalvi 6th · Tamil Nadu State Board

Practice Chapter 2: Introduction to Algebra with a free chapter-wise online MCQ test for Tamil Nadu State Board Samacheer Kalvi 6th MATHS. This chapter covers: Variables, Constants, Patterns, Algebraic expressions, Basic equations. AI-generated questions from basic to board-exam level, with instant results and explanations.

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Chapter 2: Introduction to Algebra — Important Questions & Answers (FAQ)

Frequently asked questions from Tamil Nadu State Board Samacheer Kalvi 6th MATHS — Chapter 2: Introduction to Algebra, 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 represents an unknown or changing number ✓
C. A number written in a mathematical expression
D. The answer to an equation

Answer: B. A symbol that represents an unknown or changing number
A variable is a symbol (usually a letter) that represents an unknown or changing quantity in algebra.

Which of the following is a constant?

A. x
B. y
C. 5 ✓
D. a

Answer: C. 5
A constant is a fixed value that does not change, whereas x, y, and a are variables representing unknown quantities.

What does the variable 'x' represent in the expression 3x + 2?

A. A specific number
B. An unknown number that can vary ✓
C. The number 3
D. The number 2

Answer: B. An unknown number that can vary
In the expression 3x + 2, x is a variable representing an unknown number that can take different values.

Identify the constant in the algebraic expression 7a + 5.

A. 7
B. a
C. 5 ✓
D. 7a

Answer: C. 5
The constant 5 is a fixed value in the expression, while 7a is a term with a variable a.

If x = 5, what is the value of 2x + 3?

A. 8
B. 10
C. 13 ✓
D. 15

Answer: C. 13
Substituting x = 5: 2(5) + 3 = 10 + 3 = 13.

What is the next term in the pattern 3, 6, 9, 12, ...?

A. 13
B. 14
C. 15 ✓
D. 16

Answer: C. 15
This is a pattern where each term increases by 3. The next term after 12 is 12 + 3 = 15.

If a = 2, find the value of a² + 3a.

A. 8
B. 10 ✓
C. 12
D. 14

Answer: B. 10
Substituting a = 2: (2)² + 3(2) = 4 + 6 = 10.

In the pattern 1, 4, 9, 16, 25, ..., what is the rule?

A. Add 3, then add 5, then add 7, then add 9
B. Square of natural numbers: 1², 2², 3², 4², 5², ... ✓
C. Multiply previous by 2 then subtract 1
D. Add increasing odd numbers starting from 3

Answer: B. Square of natural numbers: 1², 2², 3², 4², 5², ...
The pattern represents perfect squares: 1², 2², 3², 4², 5², where each term is the square of consecutive natural numbers.

A shopkeeper has n apples. He buys 15 more apples. Write an expression for the total number of apples. If n = 30, how many apples does he have now?