Chapter 2: Introduction to Algebra — Online MCQ Test
MATHS · Samacheer Kalvi 6th · Tamil Nadu State Board
Practice Chapter 2: Introduction to Algebra with a free chapter-wise online MCQ test.
This chapter covers: Variables, Constants, Patterns, Algebraic expressions, Basic equations.
AI-generated questions from basic to board-exam level, with instant results and explanations.
Chapter 2: Introduction to Algebra — Important Questions & Answers
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.
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.
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.
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.
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.
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.
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.
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.
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?
- A. n + 15 = 35
- B. n + 15 = 45
- C. n - 15 = 15
- D. n × 15 = 450
Answer: B. n + 15 = 45
Total apples = n + 15. When n = 30: 30 + 15 = 45 apples.
Total apples = n + 15. When n = 30: 30 + 15 = 45 apples.
Which pair of values satisfies both expressions 2x + 1 and 3x - 2 being equal?
- A. x = 2
- B. x = 3
- C. x = 4
- D. x = 5
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.
Setting 2x + 1 = 3x - 2: solving gives x = 3. Check: 2(3) + 1 = 7 and 3(3) - 2 = 7. Both equal.