Algebraic Expressions and Identities MCQs with answers

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Q. The expression x + 3 is in
  • (A) one variable
  • (B) two variables
  • (C) no variable
  • (D) none of these
💬 Discuss
✅ Correct Answer: (A) one variable
Q. The expression 4xy + 7 is in
  • (A) one variable
  • (B) two variables
  • (C) no variable
  • (D) none of these.
💬 Discuss
✅ Correct Answer: (B) two variables
Q. The expression x + y + z is in
  • (A) one variable
  • (B) no variable
  • (C) three variables
  • (D) two variables
💬 Discuss
✅ Correct Answer: (C) three variables
Q. The value of 5x when x = 5 is
  • (A) 5
  • (B) 10
  • (C) 25
  • (D) -5
💬 Discuss
✅ Correct Answer: (C) 25
Q. The value of x² – 2x + 1 when x = 1 is
  • (A) 1
  • (B) 2
  • (C) -2
  • (D) 0
💬 Discuss
✅ Correct Answer: (D) 0
Q. The value of x² + y² when x = 1, y = 2 is
  • (A) 1
  • (B) 2
  • (C) 4
  • (D) 5
💬 Discuss
✅ Correct Answer: (D) 5
Q. The value of x² – 2yx + y² when x = 1, y = 2 is
  • (A) 1
  • (B) -1
  • (C) 2
  • (D) -2
💬 Discuss
✅ Correct Answer: (A) 1
Q. The value of x² – xy + y² when x = 0, y = 1 is
  • (A) 0
  • (B) 1
  • (C) -1
  • (D) None of these
💬 Discuss
✅ Correct Answer: (B) 1
Q. Which of the following is a monomial ?
  • (A) 4x²
  • (B) a + 6
  • (C) a + 6 + c
  • (D) a + b + c + d
💬 Discuss
✅ Correct Answer: (A) 4x²
Q. Which of the following is a binomial ?
  • (A) 3xy
  • (B) 4l + 5m
  • (C) 2x + 3y – 5
  • (D) 4a – 7ab + 3b + 12
💬 Discuss
✅ Correct Answer: (B) 4l + 5m
Q. Which of the following is a trinomial ?
  • (A) -7z
  • (B) z² – 4y²
  • (C) x²y – xy² + y²
  • (D) 12a – 9ab + 5b – 3
💬 Discuss
✅ Correct Answer: (C) x²y – xy² + y²
Q. How many terms are there in the expression 5xy² ?
  • (A) 1
  • (B) 2
  • (C) 3
  • (D) 5
💬 Discuss
✅ Correct Answer: (A) 1
Q. How many terms are there in the expression 5 – 3xy ?
  • (A) 1
  • (B) 2
  • (C) 3
  • (D) 5
💬 Discuss
✅ Correct Answer: (B) 2
Q. How many terms are there in the expression 7x² + 5x – 5 ?
  • (A) 1
  • (B) 2
  • (C) 3
  • (D) 5
💬 Discuss
✅ Correct Answer: (C) 3
Q. How many terms are there in the expression 4a – lab + 3b + 12 ?
  • (A) 1
  • (B) 2
  • (C) 3
  • (D) 4
💬 Discuss
✅ Correct Answer: (D) 4
Q. How many terms are there in the expression 5xy + 9yz + 3zx + 5x – 4y ?
  • (A) 1
  • (B) 3
  • (C) 4
  • (D) 5
💬 Discuss
✅ Correct Answer: (D) 5
Q. The coefficient in the term 7xy is
  • (A) 7
  • (B) 3
  • (C) 1
  • (D) 2
💬 Discuss
✅ Correct Answer: (A) 7
Q. The coefficient in the term -5x is
  • (A) 5
  • (B) -5
  • (C) 1
  • (D) 2
💬 Discuss
✅ Correct Answer: (B) -5
Q. The coefficient in the term 20 is
  • (A) 1
  • (B) 2
  • (C) 10
  • (D) 20
💬 Discuss
✅ Correct Answer: (D) 20
Q. The coefficient in the term -20 is
  • (A) -1
  • (B) -2
  • (C) -10
  • (D) -20
💬 Discuss
✅ Correct Answer: (D) -20
Q. The like terms of the following are
  • (A) x, 3x
  • (B) x, 2y
  • (C) 2y, 6xy
  • (D) 3x, 2y
💬 Discuss
✅ Correct Answer: (A) x, 3x
Q. The like terms of the following are
  • (A) 2x², 9x²
  • (B) y², xy
  • (C) xy, 9a²
  • (D) y², 9x²
💬 Discuss
✅ Correct Answer: (A) 2x², 9x²
Q. The like terms of the following are
  • (A) ab, 9ba
  • (B) ab, -5b
  • (C) -5b, 9ba
  • (D) ab, -3a
💬 Discuss
✅ Correct Answer: (A) ab, 9ba
Q. The number of like terms in 9x³, 16x²y, -8x³, 12xy², 6x³ is
  • (A) 3
  • (B) 2
  • (C) 4
  • (D) 5
💬 Discuss
✅ Correct Answer: (A) 3
Q. The number of like terms in

abc, -abc, -bca, acb, bac, \(\frac{1}{2}\)cab is
  • (A) 6
  • (B) 4
  • (C) 3
  • (D) 2
💬 Discuss
✅ Correct Answer: (A) 6
Q. The number of like terms in
\(\frac{1}{4}\)a²bc, – \(\frac{2}{3}\)bca², \(\frac{2}{5}\) ba²c, – \(\frac{1}{2}\)cba² is
  • (A) 4
  • (B) 3
  • (C) 2
  • (D) 6
💬 Discuss
✅ Correct Answer: (A) 4
Q. The coefficient of x²y in 7pqrx² is
  • (A) 7pqr
  • (B) pqr
  • (C) -7pqr
  • (D) 7
💬 Discuss
✅ Correct Answer: (A) 7pqr
Q. The coefficient of xy in xy is
  • (A) 1
  • (B) -1
  • (C) 2
  • (D) 3
💬 Discuss
✅ Correct Answer: (A) 1
Q. The coefficient of x²y in -15 x²y is
  • (A) 15
  • (B) -15
  • (C) 3
  • (D) 5
💬 Discuss
✅ Correct Answer: (B) -15
Q. The coefficient of xy in 6x²y² is
  • (A) xy
  • (B) 2xy
  • (C) 3xy
  • (D) 6xy
💬 Discuss
✅ Correct Answer: (D) 6xy
Q. The coefficient of xy2z in -7x2y3z is
  • (A) -7xy
  • (B) 7xy
  • (C) -xy
  • (D) xy
💬 Discuss
✅ Correct Answer: (A) -7xy
Q. The sum of 7x, 10x and 12x is
  • (A) 17x
  • (B) 22x
  • (C) 19x
  • (D) 29x
💬 Discuss
✅ Correct Answer: (D) 29x
Q. The sum of 8pq and -17 pq is
  • (A) pq
  • (B) 9pq
  • (C) -9pq
  • (D) -pq
💬 Discuss
✅ Correct Answer: (C) -9pq
Q. The sum of 5x², -7x², 8x², 11x² and -9x² is
  • (A) 2x²
  • (B) 4x²
  • (C) 6x²
  • (D) 8x²
💬 Discuss
✅ Correct Answer: (D) 8x²
Q. The sum of x² – y², y² – z² and z² – x² is
  • (A) 0
  • (B) 3x²
  • (C) 3y²
  • (D) 3z²
💬 Discuss
✅ Correct Answer: (A) 0
Q. What do you get when you subtract -3xy from 5xy?
  • (A) 3xy
  • (B) 5xy
  • (C) 8xy
  • (D) xy
💬 Discuss
✅ Correct Answer: (C) 8xy
Q. The result of subtraction of 7x from 0 is
  • (A) 0
  • (B) 7x
  • (C) -7x
  • (D) x
💬 Discuss
✅ Correct Answer: (C) -7x
Q. The result of subtraction of 3x from -4x is
  • (A) -7x
  • (B) 7x
  • (C) x
  • (D) -x
💬 Discuss
✅ Correct Answer: (A) -7x
Q. The product of 4mn and 0 is
  • (A) 0
  • (B) 1
  • (C) mn
  • (D) 4mn
💬 Discuss
✅ Correct Answer: (A) 0
Q. The product of 5x and 2y is
  • (A) xy
  • (B) 2xy
  • (C) 5ay
  • (D) 10ay
💬 Discuss
✅ Correct Answer: (D) 10ay
Q. The product of 7x and -12x is
  • (A) 84x²
  • (B) -84x²
  • (C)
  • (D) -x².
💬 Discuss
✅ Correct Answer: (B) -84x²
Q. The area of a rectangle whose length and breadth are 9y and 4y² respectively is
  • (A) 4y³
  • (B) 9y³
  • (C) 36y³
  • (D) 13y³
💬 Discuss
✅ Correct Answer: (C) 36y³
Q. The area of a rectangle with length 2l²m and breadth 3lm² is
  • (A) 6l³m³
  • (B) l³m³
  • (C) 2l³m³
  • (D) 4l³m³
💬 Discuss
✅ Correct Answer: (A) 6l³m³
Q. The volume of a cube of side 2a is
  • (A) 4a²
  • (B) 2a
  • (C) 8a³
  • (D) 8
💬 Discuss
✅ Correct Answer: (C) 8a³
Q. The volume of a cuboid of dimensions a, b, c is
  • (A) abc
  • (B) a²b²c²
  • (C) a³b³c³
  • (D) none of these
💬 Discuss
✅ Correct Answer: (A) abc
Q. The product of x², – x³, – x4 is
  • (A) x9
  • (B) x5
  • (C) x7
  • (D) x6
💬 Discuss
✅ Correct Answer: (A) x9
Q. (x – y)(x + y) + (y – z)(y + z) + (z – x) (z + x) is equal to
  • (A) 0
  • (B) x² + y² + z²
  • (C) xy + yz + zx
  • (D) x + y + z
💬 Discuss
✅ Correct Answer: (A) 0
Q. (a + b)² is equal to
  • (A) a² + b² – 2ab
  • (B) a² + b² + 2ab
  • (C) a² + b²
  • (D) 2ab
💬 Discuss
✅ Correct Answer: (B) a² + b² + 2ab
Q. (a – b)² is equal to
  • (A) a² + b² – 2ab
  • (B) a² + b² + 2ab
  • (C) a² + b²
  • (D) 2ab
💬 Discuss
✅ Correct Answer: (A) a² + b² – 2ab
Q. a² – b² is equal to
  • (A) 2ab
  • (B) -2ab
  • (C) (a + b) (a – b)
  • (D) ab
💬 Discuss
✅ Correct Answer: (C) (a + b) (a – b)
Q. An algebraic expression that contains only one term is called
  • (A) Monomial
  • (B) Binomial
  • (C) Trinomial
  • (D) None of the above
💬 Discuss
✅ Correct Answer: (A) Monomial
Q. 5x + 6y is a:
  • (A) Monomial
  • (B) Binomial
  • (C) Trinomial
  • (D) None of the above
💬 Discuss
✅ Correct Answer: (B) Binomial
Q. The algebraic expression 3x + 2y + 6 is
  • (A) monomial
  • (B) Binomial
  • (C) Trinomial
  • (D) None of the above
💬 Discuss
✅ Correct Answer: (C) Trinomial
Q. A polynomial contains _______ number of terms:
  • (A) One
  • (B) Two
  • (C) Three
  • (D) Any
💬 Discuss
✅ Correct Answer: (D) Any
Q. If we add, 7xy + 5yz – 3zx, 4yz + 9zx – 4y and -3xz + 5x – 2xy, then the answer is:
  • (A) 5xy + 9yz + 3zx + 5x – 4y
  • (B) 5xy – 9yz + 3zx – 5x – 4y
  • (C) 5xy + 10yz + 3zx + 15x – 4y
  • (D) 5xy + 10yz + 3zx + 5x – 6y
💬 Discuss
✅ Correct Answer: (A) 5xy + 9yz + 3zx + 5x – 4y
Q. If we subtract 4a – 7ab + 3b + 12 from 12a – 9ab + 5b – 3, then the answer is:
  • (A) 8a + 2ab + 2b + 15
  • (B) 8a + 2ab + 2b – 15
  • (C) 8a – 2ab + 2b – 15
  • (D) 8a – 2ab – 2b – 15
💬 Discuss
✅ Correct Answer: (C) 8a – 2ab + 2b – 15
Q. If we multiply 5x and (-4xyz), then we get
  • (A) 20x2yz
  • (B) -20x2yz
  • (C) x2yz
  • (D) -2xyz
💬 Discuss
✅ Correct Answer: (B) -20x2yz
Q. The product of 4x and 0 is
  • (A) 4x
  • (B) 4
  • (C) 0
  • (D) None of the above
💬 Discuss
✅ Correct Answer: (C) 0
Q. The volume of a rectangle with length, breadth and height as 5x, 3x2 and 7x4 respectively is
  • (A) 105x7
  • (B) 105x2
  • (C) 105x4
  • (D) 105x
💬 Discuss
✅ Correct Answer: (A) 105x7
Q. In which of the following, the two expressions are like terms ?
  • (A) 7x and 7y
  • (B) 7x and 9x
  • (C) 7x and 7x2
  • (D) 7x and 7xy
💬 Discuss
✅ Correct Answer: (B) 7x and 9x

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Table of contents

  1. The expression x + 3 is in
  2. The expression 4xy + 7 is in
  3. The expression x + y + z is in
  4. The value of 5x when x = 5 is
  5. The value of x² – 2x + 1 when x = 1 is
  6. The value of x² + y² when x = 1, y = 2 is
  7. The value of x² – 2yx + y² when x = 1, y = 2 is
  8. The value of x² – xy + y² when x = 0, y = 1 is
  9. Which of the following is a monomial ?
  10. Which of the following is a binomial ?
  11. Which of the following is a trinomial ?
  12. How many terms are there in the expression 5xy² ?
  13. How many terms are there in the expression 5 – 3xy ?
  14. How many terms are there in the expression 7x² + 5x – 5 ?
  15. How many terms are there in the expression 4a – lab + 3b + 12 ?
  16. How many terms are there in the expression 5xy + 9yz + 3zx + 5x – 4y ?
  17. The coefficient in the term 7xy is
  18. The coefficient in the term -5x is
  19. The coefficient in the term 20 is
  20. The coefficient in the term -20 is
  21. The like terms of the following are
  22. The like terms of the following are
  23. The like terms of the following are
  24. The number of like terms in 9x³, 16x²y, -8x³, 12xy², 6x³ is
  25. The number of like terms in
    abc, -abc, -bca, acb, bac, \(\frac{1}{2}\)cab is
  26. The number of like terms in \(\frac{1}{4}\)a²bc, – \(\frac{2}{3}\)bca², \(\frac{2}{5}\) ba
  27. The coefficient of x²y in 7pqrx² is
  28. The coefficient of xy in xy is
  29. The coefficient of x²y in -15 x²y is
  30. The coefficient of xy in 6x²y² is
  31. The coefficient of xy2z in -7x2y3z is
  32. The sum of 7x, 10x and 12x is
  33. The sum of 8pq and -17 pq is
  34. The sum of 5x², -7x², 8x², 11x² and -9x² is
  35. The sum of x² – y², y² – z² and z² – x² is
  36. What do you get when you subtract -3xy from 5xy?
  37. The result of subtraction of 7x from 0 is
  38. The result of subtraction of 3x from -4x is
  39. The product of 4mn and 0 is
  40. The product of 5x and 2y is
  41. The product of 7x and -12x is
  42. The area of a rectangle whose length and breadth are 9y and 4y² respectively is
  43. The area of a rectangle with length 2l²m and breadth 3lm² is
  44. The volume of a cube of side 2a is
  45. The volume of a cuboid of dimensions a, b, c is
  46. The product of x², – x³, – x4 is
  47. (x – y)(x + y) + (y – z)(y + z) + (z – x) (z + x) is equal to
  48. (a + b)² is equal to
  49. (a – b)² is equal to
  50. a² – b² is equal to
  51. An algebraic expression that contains only one term is called
  52. 5x + 6y is a:
  53. The algebraic expression 3x + 2y + 6 is
  54. A polynomial contains _______ number of terms:
  55. If we add, 7xy + 5yz – 3zx, 4yz + 9zx – 4y and -3xz + 5x – 2xy, then the answer is:
  56. If we subtract 4a – 7ab + 3b + 12 from 12a – 9ab + 5b – 3, then the answer is:
  57. If we multiply 5x and (-4xyz), then we get
  58. The product of 4x and 0 is
  59. The volume of a rectangle with length, breadth and height as 5x, 3x2 and 7x4 r
  60. In which of the following, the two expressions are like terms ?