Linear Equations MCQs with answers

Dear candidates you will find MCQ questions of 8th Class - Math | Chapter: Linear Equations here. Learn these questions and prepare yourself for coming examinations. You can check the right answer of any question by clicking the option or by clicking view answer button.
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Q. The standard form of a linear equation in one variable x is
  • (A) ax + b = 0
  • (B) ax² + bx + c = 0
  • (C) ax³ + bx² + cx + d = 0
  • (D) ax^4 + bx³ + cx² + dx + e = 0.
💬 Discuss
✅ Correct Answer: (A) ax + b = 0
Q. Of the following, the linear equation in one variable x, is
  • (A) 4/x = x/4
  • (B) 1/x + 1/(x-1) = 1
  • (C) x/2 + x/3 + x/4
  • (D) x^2 + 2x + 3 = 0
💬 Discuss
✅ Correct Answer: (C) x/2 + x/3 + x/4
Q. The degree of the equation x² – 2x + 1 = x² – 3 is
  • (A) 1
  • (B) 2
  • (C) 0
  • (D) 3
💬 Discuss
✅ Correct Answer: (A) 1
Q. The statement ‘on adding 10 in a number, the number becomes 20’ in the form of an equation is
  • (A) x – 10 = 20
  • (B) x + 10 = 20
  • (C) 10x = 20
  • (D) x/10 = 20
💬 Discuss
✅ Correct Answer: (B) x + 10 = 20
Q. If 9 is added to a number, it becomes 25. This statement in the form of an equation is
  • (A) x + 9 = 25
  • (B) x – 9 = 25
  • (C) 9x = 25
  • (D) x/9 = 25
💬 Discuss
✅ Correct Answer: (A) x + 9 = 25
Q. If 15 is subtracted from a number, it becomes -5. This statement in the form of an equation is
  • (A) x + 15 = -5
  • (B) x – 15 = 5
  • (C) x + 15 = 5
  • (D) x – 15 = -5.
💬 Discuss
✅ Correct Answer: (D) x – 15 = -5.
Q. Seven times a number is 42. This statement in the form of an equation is
  • (A) x + 7 = 42
  • (B) 7x = 42
  • (C) x/7 = 42
  • (D) x-7 = 42
💬 Discuss
✅ Correct Answer: (B) 7x = 42
Q. A number when divided by 5 gives 6. This statement in the form of an equation is
  • (A) x – 5 = 6
  • (B) x + 5 = 6
  • (C) x/5 = 6
  • (D) 5x = 6
💬 Discuss
✅ Correct Answer: (C) x/5 = 6
Q. A number when subtracted from 40 results into 15. This statement in the form of an equation is
  • (A) 40 – x = 15
  • (B) x – 40 = 15
  • (C) 40 + x = 15
  • (D) 40x = 15.
💬 Discuss
✅ Correct Answer: (A) 40 – x = 15
Q. If 6 is added to 3 times of a number, it becomes 15. This statement in the form of an equation is
  • (A) 3x + 6 = 15
  • (B) 3x – 6 = 15
  • (C) 3x + 15 = 6
  • (D) 3x/6 = 15
💬 Discuss
✅ Correct Answer: (A) 3x + 6 = 15
Q. On subtracting 30 from two times a number, we get 56. This statement in the form of an equation is
  • (A) 2x – 30 = 56
  • (B) 2x + 30 = 56
  • (C) 30 – 2x = 56
  • (D) 30/2x = 56
💬 Discuss
✅ Correct Answer: (A) 2x – 30 = 56
Q. The root of the equation z + 4 = -8 is
  • (A) 3
  • (B) -32
  • (C) 12
  • (D) 4
💬 Discuss
✅ Correct Answer: (B) -32
Q. The root of the equation 3x = 20/7 – x is
  • (A) 10
  • (B) 20/21
  • (C) -5/7
  • (D) 5/7
💬 Discuss
✅ Correct Answer: (D) 5/7
Q. The root of the equation 2x + 3 = 2(x – 4) is
  • (A) 2
  • (B) 4
  • (C) 0
  • (D) none of these
💬 Discuss
✅ Correct Answer: (D) none of these
Q. The solution of the equation 5/x = 2 is
  • (A) 10
  • (B) 2/5
  • (C) 5/2
  • (D) 1/10
💬 Discuss
✅ Correct Answer: (C) 5/2
Q. The largest number of the three consecutive numbers is x + 1. Then, the smallest number is
  • (A) x + 2
  • (B) x + 1
  • (C) x
  • (D) x – 1
💬 Discuss
✅ Correct Answer: (D) x – 1
Q. If x is an even number then the consecutive even number is
  • (A) x + 1
  • (B) x + 2
  • (C) 2x
  • (D) x – 1
💬 Discuss
✅ Correct Answer: (B) x + 2
Q. x is an odd number. The largest odd number preceding x is
  • (A) x – 1
  • (B) x – 2
  • (C) x – 3
  • (D) x – 4
💬 Discuss
✅ Correct Answer: (B) x – 2
Q. The difference of two numbers is 21. The larger number is x. The smaller number is
  • (A) 21 + x
  • (B) 21 – x
  • (C) x – 21
  • (D) -x – 2
💬 Discuss
✅ Correct Answer: (C) x – 21
Q. In a two digit number, the unit’s digit is x and the ten’s digit is y. Then, the number is
  • (A) 10y + x
  • (B) 10x + y
  • (C) 10y – x
  • (D) 10x – y
💬 Discuss
✅ Correct Answer: (A) 10y + x
Q. When 9 is added to two times a number, we get 67. The number is
  • (A) 25
  • (B) 27
  • (C) 29
  • (D) 31
💬 Discuss
✅ Correct Answer: (C) 29
Q. The root of the equation –5/4x = 15 is
  • (A) 1/12
  • (B) -1/12
  • (C) 1/20
  • (D) -1/20
💬 Discuss
✅ Correct Answer: (B) -1/12
Q. The value of x in 3x/4 = 7 – x is
  • (A) 4
  • (B) 3
  • (C) 7/3
  • (D) 7
💬 Discuss
✅ Correct Answer: (A) 4
Q. 3/4 part of a number is 5 more than its 2/3 part. This statement in the form of an equation is
  • (A) 2/3 x – 3/4 x= 5
  • (B) 2/3 x – 5 =3/4 x
  • (C) 3/4 x = 2/3 x + 5
  • (D) 3/4 x – 5 = –2/3 x
💬 Discuss
✅ Correct Answer: (C) 3/4 x = 2/3 x + 5
Q. The value of x in –2/3 = 2x is 3
  • (A) 1/3
  • (B) -1/3
  • (C) 3
  • (D) -3
💬 Discuss
✅ Correct Answer: (B) -1/3
Q. The root of the equation 5x – 8 = 7 is
  • (A) 1
  • (B) 2
  • (C) 3
  • (D) -3
💬 Discuss
✅ Correct Answer: (C) 3
Q. The root of the equation x + 3 = 5 is
  • (A) 1
  • (B) 2
  • (C) -1
  • (D) -2
💬 Discuss
✅ Correct Answer: (B) 2
Q. The root of the equation x – 8 = 2 is
  • (A) 2
  • (B) 8
  • (C) 6
  • (D) 10
💬 Discuss
✅ Correct Answer: (D) 10
Q. The root of the equation 3x + 8 = 14 is
  • (A) 1
  • (B) 2
  • (C) -1
  • (D) 1/2
💬 Discuss
✅ Correct Answer: (B) 2
Q. The root of the equation 2y = 5(3 + y) is
  • (A) 5
  • (B) 1/5
  • (C) -5
  • (D) -1/5
💬 Discuss
✅ Correct Answer: (C) -5
Q. The root of the equation y/3 – 7 = 11 is
  • (A) 54
  • (B) -54
  • (C) 18
  • (D) -18
💬 Discuss
✅ Correct Answer: (A) 54
Q. The root of the equation 14 – x = 8 is
  • (A) 2
  • (B) 4
  • (C) 6
  • (D) 8
💬 Discuss
✅ Correct Answer: (C) 6
Q. The root of the equation 5x/3 = 30 is
  • (A) 9
  • (B) 12
  • (C) 15
  • (D) 18
💬 Discuss
✅ Correct Answer: (D) 18
Q. The root of the equation 3y + 4 = 5y – 4 is
  • (A) 4
  • (B) 1
  • (C) 2
  • (D) 3
💬 Discuss
✅ Correct Answer: (A) 4
Q. The root of the equation 3x + 4 = 13 is
  • (A) 1
  • (B) 2
  • (C) 3
  • (D) 4
💬 Discuss
✅ Correct Answer: (C) 3
Q. The root of the equation 9z – 15 = 9 – 3z is
  • (A) 1
  • (B) 2
  • (C) 3
  • (D) 4
💬 Discuss
✅ Correct Answer: (B) 2
Q. The root of the equation 4x/7 – 12 = 0 is
  • (A) 7
  • (B) 14
  • (C) 21
  • (D) -21
💬 Discuss
✅ Correct Answer: (C) 21
Q. The root of the equation 3x = 20/7 – x is
  • (A) 7/5
  • (B) 5/7
  • (C) -7/5
  • (D) -5/7
💬 Discuss
✅ Correct Answer: (B) 5/7
Q. The root of the equation 2y = 5 (7 – y ) is
  • (A) 5
  • (B) -5
  • (C) 3
  • (D) -3
💬 Discuss
✅ Correct Answer: (A) 5
Q. The root of the equation
(2x – 1) + (x – 1) = x + 2 is
  • (A) 1
  • (B) 2
  • (C) -1
  • (D) -2
💬 Discuss
✅ Correct Answer: (B) 2
Q. The root of the equation
13x – 14 = 9x + 10 is
  • (A) 1
  • (B) 2
  • (C) 3
  • (D) 6
💬 Discuss
✅ Correct Answer: (D) 6
Q. The root of the equation
11x – 5 – x + 6 = 2x + 17 is
  • (A) 1
  • (B) 2
  • (C) 3
  • (D) 4
💬 Discuss
✅ Correct Answer: (B) 2
Q. The root of the equation 2/3 y = 5/12 is
  • (A) 8/5
  • (B) 5/8
  • (C) 5
  • (D) 8
💬 Discuss
✅ Correct Answer: (B) 5/8
Q. The root of the equation 7 (x – 1) = 21 is
  • (A) 1
  • (B) 2
  • (C) 3
  • (D) 4
💬 Discuss
✅ Correct Answer: (D) 4
Q. The root of the equation 3/2 x = – 27 is
  • (A) 6
  • (B) 12
  • (C) 18
  • (D) -18
💬 Discuss
✅ Correct Answer: (D) -18
Q. If two angles are complementary and one angle is 10° greater than the other, then the smaller angle of the two is
  • (A) 40°
  • (B) 50°
  • (C) 90°
  • (D) 180°.
💬 Discuss
✅ Correct Answer: (A) 40°
Q. If two angles are supplementary and one angle is double the other, then the larger angle is
  • (A) 60°
  • (B) 90°
  • (C) 120°
  • (D) 180°.
💬 Discuss
✅ Correct Answer: (C) 120°
Q. Twice a number is as much greater than 30 as the three times of the number less than 60. The number is
  • (A) 6
  • (B) 9
  • (C) 12
  • (D) 18
💬 Discuss
✅ Correct Answer: (D) 18
Q. One number is greater than the other number by 3. The sum of two numbers is 23. The two numbers are
  • (A) 13, 10
  • (B) 14, 9
  • (C) 12, 11
  • (D) 15, 8
💬 Discuss
✅ Correct Answer: (A) 13, 10

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Table of contents

  1. The standard form of a linear equation in one variable x is
  2. Of the following, the linear equation in one variable x, is
  3. The degree of the equation x² – 2x + 1 = x² – 3 is
  4. The statement ‘on adding 10 in a number, the number becomes 20’ in the form of an equati
  5. If 9 is added to a number, it becomes 25. This statement in the form of an equation is
  6. If 15 is subtracted from a number, it becomes -5. This statement in the form of an equation is
  7. Seven times a number is 42. This statement in the form of an equation is
  8. A number when divided by 5 gives 6. This statement in the form of an equation is
  9. A number when subtracted from 40 results into 15. This statement in the form of an equation is
  10. If 6 is added to 3 times of a number, it becomes 15. This statement in the form of an equation is
  11. On subtracting 30 from two times a number, we get 56. This statement in the form of an equation is
  12. The root of the equation z + 4 = -8 is
  13. The root of the equation 3x = 20/7 – x is
  14. The root of the equation 2x + 3 = 2(x – 4) is
  15. The solution of the equation 5/x = 2 is
  16. The largest number of the three consecutive numbers is x + 1. Then, the smallest number is
  17. If x is an even number then the consecutive even number is
  18. x is an odd number. The largest odd number preceding x is
  19. The difference of two numbers is 21. The larger number is x. The smaller number is
  20. In a two digit number, the unit’s digit is x and the ten’s digit is y. Then, the number
  21. When 9 is added to two times a number, we get 67. The number is
  22. The root of the equation –5/4x = 15 is
  23. The value of x in 3x/4 = 7 – x is
  24. 3/4 part of a number is 5 more than its 2/3 part. This statement in the form of an equation is
  25. The value of x in –2/3 = 2x is 3
  26. The root of the equation 5x – 8 = 7 is
  27. The root of the equation x + 3 = 5 is
  28. The root of the equation x – 8 = 2 is
  29. The root of the equation 3x + 8 = 14 is
  30. The root of the equation 2y = 5(3 + y) is
  31. The root of the equation y/3 – 7 = 11 is
  32. The root of the equation 14 – x = 8 is
  33. The root of the equation 5x/3 = 30 is
  34. The root of the equation 3y + 4 = 5y – 4 is
  35. The root of the equation 3x + 4 = 13 is
  36. The root of the equation 9z – 15 = 9 – 3z is
  37. The root of the equation 4x/7 – 12 = 0 is
  38. The root of the equation 3x = 20/7 – x is
  39. The root of the equation 2y = 5 (7 – y ) is
  40. The root of the equation (2x – 1) + (x – 1) = x + 2 is
  41. The root of the equation 13x – 14 = 9x + 10 is
  42. The root of the equation 11x – 5 – x + 6 = 2x + 17 is
  43. The root of the equation 2/3 y = 5/12 is
  44. The root of the equation 7 (x – 1) = 21 is
  45. The root of the equation 3/2 x = – 27 is
  46. If two angles are complementary and one angle is 10° greater than the other, then the smaller an
  47. If two angles are supplementary and one angle is double the other, then the larger angle is
  48. Twice a number is as much greater than 30 as the three times of the number less than 60. The number
  49. One number is greater than the other number by 3. The sum of two numbers is 23. The two numbers are

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