🔤 Basics of Algebra
1. Which of the following is a letter-number?
A. 5
B. +
C. x
D. =
👉 Answer: C
2. Which expression means “5 more than a number x”?
A. 5x
B. x − 5
C. x + 5
D. 5 − x
👉 Answer: C
3. Which expression means “3 times a number a”?
A. a + 3
B. 3 + a
C. 3a
D. a³
👉 Answer: C
4. Which of the following is an algebraic expression?
A. 7 + 5
B. 9 ÷ 3
C. a + 4
D. 12
👉 Answer: C
5. Which sign is usually omitted in algebra?
A. +
B. −
C. ×
D. =
👉 Answer: C
✖️ Multiplication & Meaning
6. What does 4n mean?
A. 4 + n
B. n + n + n + n
C. 4 × n
D. Both B and C
👉 Answer: D
7. Which is NOT equal to x + x?
A. 2x
B. x²
C. x + x
D. 2 × x
👉 Answer: B
8. If x = 3, what is the value of 5x?
A. 8
B. 15
C. 53
D. 5
👉 Answer: B
9. If a = 10, what is a − 4?
A. 14
B. 6
C. 40
D. −6
👉 Answer: B
10. 5 + x and 5x are:
A. Always equal
B. Sometimes equal
C. Never equal
D. Same expressions
👉 Answer: C
➕➖ Like & Unlike Terms
11. Which are like terms?
A. 3a and 3b
B. 4x and 5x
C. 2a and 2
D. x and y
👉 Answer: B
12. Simplify: 6a + 4a = ?
A. 10
B. a²
C. 10a
D. 24a
👉 Answer: C
13. Which cannot be added?
A. 3x + 5x
B. 7a + 2a
C. 4x + 3y
D. 10p + 2p
👉 Answer: C
14. Simplify: 9x − 4x
A. 5
B. 13x
C. 5x
D. x
👉 Answer: C
15. Simplify: 5a + 3b
A. 8ab
B. 8
C. 5a + 3b
D. 15ab
👉 Answer: C
🧹 Simplification
16. Simplify: x + x + x
A. x³
B. 3x
C. 2x
D. x²
👉 Answer: B
17. Simplify: 2x + 5 − x
A. x + 5
B. 2x + 5
C. x − 5
D. 5x
👉 Answer: A
18. Simplify: (4x + 3) − 2x
A. 6x + 3
B. 2x + 3
C. 2x − 3
D. x + 1
👉 Answer: B
19. Simplify: 3(a + 2)
A. 3a + 2
B. a + 6
C. 3a + 6
D. 6a
👉 Answer: C
20. Simplify: 2(x + y)
A. x + 2y
B. 2x + y
C. 2x + 2y
D. x + y
👉 Answer: C
📐 Geometry Expressions
21. Perimeter of a square of side a is:
A. a
B. 2a
C. 3a
D. 4a
👉 Answer: D
22. Perimeter of a rectangle with length l and breadth b:
A. l + b
B. 2l + b
C. 2(l + b)
D. l − b
👉 Answer: C
23. Perimeter of an equilateral triangle of side a:
A. a
B. 2a
C. 3a
D. 4a
👉 Answer: C
🛒 Daily Life Problems
24. Cost of x pens at ₹10 each:
A. x + 10
B. 10 + x
C. 10x
D. x ÷ 10
👉 Answer: C
25. Total cost of x apples at ₹5 and y bananas at ₹3:
A. 8xy
B. 5x + 3y
C. 15xy
D. x + y
👉 Answer: B
🔁 Pattern Based
26. Which expression gives even numbers?
A. 2n
B. 2n + 1
C. n + 1
D. n²
👉 Answer: A
27. Matchstick pattern formula: 2n + 1 gives
A. Even numbers
B. Odd numbers
C. Multiples of 3
D. Squares
👉 Answer: B
28. If n = 5, value of 2n + 1 is:
A. 9
B. 10
C. 11
D. 12
👉 Answer: C
29. In pattern A B C A B C, position of C is:
A. 3n − 2
B. 3n − 1
C. 3n
D. 2n
👉 Answer: C
30. In a calendar 2×2 box, diagonal sum is always:
A. Different
B. Even
C. Same
D. Zero
👉 Answer: C
🧠 Logic & Understanding
31. Which is true?
A. x + x = x²
B. x × x = 2x
C. x + x = 2x
D. 2x = x²
👉 Answer: C
32. Which is the simplest form?
A. x + x + y
B. 2x + y
C. x² + y
D. xy
👉 Answer: B
33. If a = 5, value of 3a − 2 is:
A. 13
B. 15
C. 8
D. 10
👉 Answer: A
34. Which term has coefficient 7?
A. 7
B. a
C. 7a
D. a7
👉 Answer: C
35. Coefficient of x in 9x is:
A. x
B. 9
C. 1
D. 0
👉 Answer: B
⚠️ Common Mistakes
36. Which is wrong?
A. x + x = 2x
B. 2(x + y) = 2x + 2y
C. x × x = 2x
D. 5x ≠ 5 + x
👉 Answer: C
37. Simplify: 10 − a when a = 4
A. 6
B. 14
C. −6
D. 40
👉 Answer: A
38. Simplify: (x + 5) − 3
A. x + 2
B. x + 8
C. 2x
D. x − 8
👉 Answer: A
39. Which is a constant?
A. x
B. y
C. 5
D. xy
👉 Answer: C
40. Which expression has two terms?
A. 7
B. 3x
C. x + y
D. xyz
👉 Answer: C
🎯 Exam Focus
41. First step in simplification:
A. Add numbers
B. Open brackets
C. Multiply
D. Divide
👉 Answer: B
42. Which expression is already simplified?
A. x + x
B. 3a + 2b
C. 2(x + y)
D. a + a + a
👉 Answer: B
43. If x = 1, y = 2, value of 2x + y = ?
A. 3
B. 4
C. 5
D. 6
👉 Answer: B
44. Which chapter introduces algebra first time?
A. Fractions
B. Geometry
C. Expressions using letter-numbers
D. Mensuration
👉 Answer: C
45. Main use of algebra is to:
A. Draw figures
B. Memorize tables
C. Describe patterns
D. Divide numbers
👉 Answer: C
🏁 Final Questions
46. Which expression means “one less than y”?
A. y + 1
B. y − 1
C. 1 − y
D. y²
👉 Answer: B
47. Simplify: 4y − y
A. 3
B. y
C. 3y
D. 4
👉 Answer: C
48. Which has value always changing?
A. Constant
B. Variable
C. Number
D. Digit
👉 Answer: B
49. Which expression gives perimeter of regular hexagon?
A. 4a
B. 5a
C. 6a
D. 3a
👉 Answer: C
50. Algebra helps us to:
A. Guess answers
B. Write rules clearly
C. Avoid maths
D. Draw only graphs
👉 Answer: B