← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 813 · 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 + 20 = 92, what is x? (a) 72 (b) 7 (c) 9 (d) 8
  2. 2.If 7x + 20 = 90, what is x? (a) 10 (b) 9 (c) 11 (d) 70
  3. 3.If x/3 + 9 = 18, what is x? (a) 27 (b) 9 (c) 45 (d) 81
  4. 4.If 4x + 8 = x + 17, what is x? (a) 3 (b) 5 (c) 4 (d) 2
  5. 5.If 9x − 64 = 35, what is x? (a) 11 (b) 10 (c) 12 (d) 99
  6. 6.If 9x − 70 = 56, what is x? (a) 14 (b) 15 (c) 126 (d) 13
  7. 7.If 3x + 12 = 30, what is x? (a) 18 (b) 14 (c) 6 (d) 7
  8. 8.If x/6 + 5 = 10, what is x? (a) 5 (b) 30 (c) 90 (d) 55
  9. 9.If 5x − 28 = 12, what is x? (a) 40 (b) 7 (c) 9 (d) 8
  10. 10.If 6x − 37 = 5, what is x? (a) 6 (b) 8 (c) 7 (d) 42
  11. 11.If 5x + 2 = 47, what is x? (a) 45 (b) 10 (c) 9 (d) 8
  12. 12.If x/6 + 3 = 11, what is x? (a) 48 (b) 8 (c) 84 (d) 63
  13. 13.If 2x + 3 = 11, what is x? (a) 4 (b) 5 (c) 8 (d) 7
  14. 14.If 2x − 8 = 4, what is x? (a) 7 (b) 6 (c) 5 (d) 12
  15. 15.If 2x − 9 = 1, what is x? (a) 10 (b) 6 (c) 5 (d) 4
  16. 16.If 8x + 1 = 33, what is x? (a) 5 (b) 3 (c) 4 (d) 32
  17. 17.If x/3 + 11 = 19, what is x? (a) 90 (b) 46 (c) 8 (d) 24
  18. 18.If 3x − 17 = 28, what is x? (a) 15 (b) 45 (c) 14 (d) 16
  19. 19.If x/4 + 9 = 20, what is x? (a) 11 (b) 116 (c) 71 (d) 44
  20. 20.If 3x − 10 = 29, what is x? (a) 14 (b) 13 (c) 12 (d) 39
  21. 21.If 8x + 4 = 84, what is x? (a) 80 (b) 10 (c) 9 (d) 11
  22. 22.If 6x − 48 = 36, what is x? (a) 13 (b) 15 (c) 84 (d) 14
  23. 23.If 4x + 5 = 21, what is x? (a) 5 (b) 4 (c) 3 (d) 16
  24. 24.If 6x + 2 = 5x + 12, what is x? (a) 14 (b) 11 (c) 10 (d) 12
  25. 25.If 3x + 3 = 21, what is x? (a) 6 (b) 8 (c) 18 (d) 7
  26. 26.If x/6 + 3 = 12, what is x? (a) 69 (b) 9 (c) 90 (d) 54
  27. 27.If x/4 + 2 = 8, what is x? (a) 6 (b) 24 (c) 40 (d) 30
  28. 28.If x/4 + 13 = 24, what is x? (a) 148 (b) 11 (c) 83 (d) 44
  29. 29.If x/3 + 2 = 8, what is x? (a) 6 (b) 22 (c) 30 (d) 18
  30. 30.If 3x − 3 = 42, what is x? (a) 15 (b) 13 (c) 45 (d) 16
  31. 31.If 3x + 17 = x + 33, what is x? (a) 9 (b) 25 (c) 4 (d) 8
  32. 32.If x/6 + 5 = 11, what is x? (a) 6 (b) 96 (c) 36 (d) 61
  33. 33.If 7x + 3 = 2x + 38, what is x? (a) 7 (b) 6 (c) 9 (d) 8
  34. 34.If x/4 + 3 = 10, what is x? (a) 37 (b) 28 (c) 52 (d) 7
  35. 35.If 4x + 15 = 55, what is x? (a) 10 (b) 40 (c) 11 (d) 9
  36. 36.If 8x + 1 = 2x + 43, what is x? (a) 9 (b) 6 (c) 8 (d) 7
  37. 37.If x/6 + 2 = 13, what is x? (a) 66 (b) 11 (c) 76 (d) 90
  38. 38.If x/6 + 1 = 13, what is x? (a) 84 (b) 77 (c) 12 (d) 72
  39. 39.If x/3 + 14 = 16, what is x? (a) 90 (b) 34 (c) 6 (d) 2
  40. 40.If 7x + 3 = 94, what is x? (a) 12 (b) 14 (c) 13 (d) 91

Answer key

  1. 8
  2. 10
  3. 27
  4. 3
  5. 11
  6. 14
  7. 6
  8. 30
  9. 8
  10. 7
  11. 9
  12. 48
  13. 4
  14. 6
  15. 5
  16. 4
  17. 24
  18. 15
  19. 44
  20. 13
  21. 10
  22. 14
  23. 4
  24. 10
  25. 6
  26. 54
  27. 24
  28. 44
  29. 18
  30. 15
  31. 8
  32. 36
  33. 7
  34. 28
  35. 10
  36. 7
  37. 66
  38. 72
  39. 6
  40. 13

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