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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 646 · 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 + 9 = 99, what is x? (a) 12 (b) 10 (c) 90 (d) 11
  2. 2.If 9x − 134 = 1, what is x? (a) 135 (b) 15 (c) 16 (d) 14
  3. 3.If 2x − 4 = 22, what is x? (a) 9 (b) 14 (c) 26 (d) 13
  4. 4.If 4x − 41 = 7, what is x? (a) 13 (b) 11 (c) 12 (d) 48
  5. 5.If x/5 + 2 = 10, what is x? (a) 8 (b) 60 (c) 48 (d) 40
  6. 6.If 5x + 13 = x + 61, what is x? (a) 8 (b) 13 (c) 12 (d) 14
  7. 7.If x/5 + 5 = 12, what is x? (a) 55 (b) 85 (c) 7 (d) 35
  8. 8.If 3x − 18 = 3, what is x? (a) 7 (b) 21 (c) 6 (d) 8
  9. 9.If 2x − 1 = 3, what is x? (a) 1 (b) 4 (c) 3 (d) 2
  10. 10.If 8x − 19 = 61, what is x? (a) 80 (b) 9 (c) 10 (d) 11
  11. 11.If 4x + 28 = 68, what is x? (a) 24 (b) 11 (c) 10 (d) 40
  12. 12.If 6x − 20 = 52, what is x? (a) 11 (b) 12 (c) 72 (d) 13
  13. 13.If 3x + 29 = 59, what is x? (a) 9 (b) 11 (c) 30 (d) 10
  14. 14.If 9x + 12 = 93, what is x? (a) 9 (b) 81 (c) 10 (d) 8
  15. 15.If 8x − 39 = 25, what is x? (a) 64 (b) 9 (c) 8 (d) 7
  16. 16.If x/5 + 4 = 16, what is x? (a) 100 (b) 12 (c) 60 (d) 76
  17. 17.If 9x − 12 = 15, what is x? (a) 27 (b) 2 (c) 3 (d) 4
  18. 18.If 2x − 3 = 15, what is x? (a) 6 (b) 9 (c) 10 (d) 18
  19. 19.If x/6 + 15 = 18, what is x? (a) 93 (b) 3 (c) 198 (d) 18
  20. 20.If 9x + 19 = 2x + 40, what is x? (a) 2 (b) 4 (c) 5 (d) 3
  21. 21.If 7x + 4 = 18, what is x? (a) 14 (b) 3 (c) 2 (d) 1
  22. 22.If x/6 + 15 = 27, what is x? (a) 12 (b) 72 (c) 147 (d) 252
  23. 23.If 9x + 18 = 3x + 66, what is x? (a) 9 (b) 4 (c) 8 (d) 14
  24. 24.If 2x − 4 = 12, what is x? (a) 4 (b) 9 (c) 16 (d) 8
  25. 25.If 2x + 19 = 29, what is x? (a) 5 (b) 10 (c) 6 (d) 24
  26. 26.If x/2 + 11 = 20, what is x? (a) 18 (b) 62 (c) 9 (d) 29
  27. 27.If 5x − 17 = 58, what is x? (a) 16 (b) 15 (c) 75 (d) 14
  28. 28.If x/4 + 15 = 18, what is x? (a) 132 (b) 57 (c) 12 (d) 3
  29. 29.If 7x + 19 = 6x + 29, what is x? (a) 10 (b) 11 (c) 12 (d) 48
  30. 30.If 8x + 5 = x + 33, what is x? (a) 4 (b) 3 (c) 6 (d) 5
  31. 31.If 9x − 28 = 26, what is x? (a) 54 (b) 5 (c) 7 (d) 6
  32. 32.If x/4 + 11 = 19, what is x? (a) 8 (b) 120 (c) 32 (d) 65
  33. 33.If 2x + 25 = 39, what is x? (a) 14 (b) 7 (c) 8 (d) 32
  34. 34.If 9x + 3 = x + 59, what is x? (a) 8 (b) 7 (c) 6 (d) 9
  35. 35.If 4x − 8 = 52, what is x? (a) 15 (b) 60 (c) 16 (d) 11
  36. 36.If x/4 + 2 = 12, what is x? (a) 10 (b) 56 (c) 40 (d) 46
  37. 37.If x/3 + 1 = 6, what is x? (a) 21 (b) 5 (c) 15 (d) 17
  38. 38.If 7x + 4 = 81, what is x? (a) 11 (b) 77 (c) 10 (d) 12
  39. 39.If 2x − 1 = 25, what is x? (a) 14 (b) 13 (c) 12 (d) 26
  40. 40.If 4x + 1 = 3x + 11, what is x? (a) 11 (b) 12 (c) 10 (d) 9

Answer key

  1. 10
  2. 15
  3. 13
  4. 12
  5. 40
  6. 12
  7. 35
  8. 7
  9. 2
  10. 10
  11. 10
  12. 12
  13. 10
  14. 9
  15. 8
  16. 60
  17. 3
  18. 9
  19. 18
  20. 3
  21. 2
  22. 72
  23. 8
  24. 8
  25. 5
  26. 18
  27. 15
  28. 12
  29. 10
  30. 4
  31. 6
  32. 32
  33. 7
  34. 7
  35. 15
  36. 40
  37. 15
  38. 11
  39. 13
  40. 10

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