← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 992 · 40 questions
TalentJR

How to solve it (Balance): Bring the x terms to one side and the plain numbers to the other (change the sign when you move a term across). Divide both sides by the number in front of x (or multiply if x is divided). Check by putting your answer back into the equation.

NameDateTime takenScore ___ / 40
  1. 1.If 9x + 22 = 103, what is x? (a) 81 (b) 10 (c) 8 (d) 9
  2. 2.If 8x + 1 = 4x + 17, what is x? (a) 5 (b) 3 (c) 4 (d) 6
  3. 3.If 5x + 7 = 4x + 19, what is x? (a) 12 (b) 13 (c) 26 (d) 14
  4. 4.If 8x − 60 = 36, what is x? (a) 12 (b) 13 (c) 96 (d) 11
  5. 5.If 9x + 14 = 113, what is x? (a) 10 (b) 12 (c) 11 (d) 99
  6. 6.If x/2 + 9 = 17, what is x? (a) 8 (b) 52 (c) 25 (d) 16
  7. 7.If 8x + 12 = 108, what is x? (a) 15 (b) 12 (c) 96 (d) 13
  8. 8.If 5x − 2 = 58, what is x? (a) 11 (b) 13 (c) 60 (d) 12
  9. 9.If x/6 + 12 = 21, what is x? (a) 54 (b) 9 (c) 114 (d) 198
  10. 10.If 8x + 6 = 3x + 56, what is x? (a) 10 (b) 9 (c) 11 (d) 12
  11. 11.If 4x + 10 = 26, what is x? (a) 5 (b) 9 (c) 16 (d) 4
  12. 12.If 3x + 1 = x + 21, what is x? (a) 5 (b) 10 (c) 12 (d) 11
  13. 13.If 9x + 9 = 36, what is x? (a) 27 (b) 4 (c) 5 (d) 3
  14. 14.If x/5 + 2 = 12, what is x? (a) 50 (b) 70 (c) 58 (d) 10
  15. 15.If 8x + 4 = 60, what is x? (a) 56 (b) 6 (c) 8 (d) 7
  16. 16.If 3x + 29 = 74, what is x? (a) 45 (b) 14 (c) 16 (d) 15
  17. 17.If 3x + 5 = 41, what is x? (a) 36 (b) 12 (c) 13 (d) 11
  18. 18.If 2x + 4 = 24, what is x? (a) 20 (b) 11 (c) 10 (d) 14
  19. 19.If x/3 + 12 = 24, what is x? (a) 36 (b) 60 (c) 108 (d) 12
  20. 20.If 3x − 8 = 19, what is x? (a) 27 (b) 8 (c) 9 (d) 10
  21. 21.If 9x − 11 = 16, what is x? (a) 4 (b) 3 (c) 2 (d) 27
  22. 22.If 5x + 15 = 85, what is x? (a) 15 (b) 20 (c) 70 (d) 14
  23. 23.If 7x + 24 = 129, what is x? (a) 14 (b) 16 (c) 15 (d) 105
  24. 24.If 3x + 10 = 2x + 12, what is x? (a) 2 (b) 22 (c) 3 (d) 4
  25. 25.If 5x + 15 = 4x + 27, what is x? (a) 12 (b) 42 (c) 13 (d) 14
  26. 26.If x/2 + 11 = 21, what is x? (a) 64 (b) 20 (c) 31 (d) 10
  27. 27.If 9x − 34 = 101, what is x? (a) 135 (b) 14 (c) 15 (d) 16
  28. 28.If 5x + 16 = x + 64, what is x? (a) 12 (b) 13 (c) 8 (d) 20
  29. 29.If 5x + 7 = 32, what is x? (a) 25 (b) 6 (c) 4 (d) 5
  30. 30.If 5x + 23 = 38, what is x? (a) 3 (b) 4 (c) 2 (d) 15
  31. 31.If 9x − 1 = 35, what is x? (a) 5 (b) 4 (c) 3 (d) 36
  32. 32.If 4x + 15 = 23, what is x? (a) 8 (b) 1 (c) 3 (d) 2
  33. 33.If 9x + 26 = 62, what is x? (a) 4 (b) 36 (c) 3 (d) 5
  34. 34.If x/3 + 10 = 19, what is x? (a) 47 (b) 27 (c) 9 (d) 87
  35. 35.If 2x − 12 = 2, what is x? (a) 7 (b) 8 (c) 6 (d) 14
  36. 36.If 3x − 20 = 4, what is x? (a) 9 (b) 24 (c) 7 (d) 8
  37. 37.If 2x − 11 = 5, what is x? (a) 8 (b) 7 (c) 9 (d) 16
  38. 38.If 8x + 15 = 111, what is x? (a) 13 (b) 11 (c) 12 (d) 96
  39. 39.If 8x + 4 = 68, what is x? (a) 64 (b) 9 (c) 7 (d) 8
  40. 40.If 3x + 11 = x + 27, what is x? (a) 19 (b) 9 (c) 8 (d) 4

Answer key

  1. 9
  2. 4
  3. 12
  4. 12
  5. 11
  6. 16
  7. 12
  8. 12
  9. 54
  10. 10
  11. 4
  12. 10
  13. 3
  14. 50
  15. 7
  16. 15
  17. 12
  18. 10
  19. 36
  20. 9
  21. 3
  22. 14
  23. 15
  24. 2
  25. 12
  26. 20
  27. 15
  28. 12
  29. 5
  30. 3
  31. 4
  32. 2
  33. 4
  34. 27
  35. 7
  36. 8
  37. 8
  38. 12
  39. 8
  40. 8

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad