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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 397 · 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 x/2 + 14 = 22, what is x? (a) 16 (b) 72 (c) 30 (d) 8
  2. 2.If x/5 + 5 = 10, what is x? (a) 5 (b) 45 (c) 75 (d) 25
  3. 3.If 4x + 18 = 54, what is x? (a) 9 (b) 10 (c) 36 (d) 18
  4. 4.If x/4 + 9 = 20, what is x? (a) 71 (b) 11 (c) 44 (d) 116
  5. 5.If x/3 + 5 = 13, what is x? (a) 34 (b) 24 (c) 8 (d) 54
  6. 6.If 8x + 9 = 129, what is x? (a) 120 (b) 14 (c) 15 (d) 16
  7. 7.If 4x + 19 = x + 31, what is x? (a) 5 (b) 3 (c) 6 (d) 4
  8. 8.If x/5 + 11 = 15, what is x? (a) 64 (b) 4 (c) 20 (d) 130
  9. 9.If 5x − 29 = 31, what is x? (a) 60 (b) 11 (c) 12 (d) 13
  10. 10.If 2x + 7 = 21, what is x? (a) 8 (b) 14 (c) 6 (d) 7
  11. 11.If x/2 + 2 = 4, what is x? (a) 2 (b) 12 (c) 6 (d) 4
  12. 12.If 7x + 13 = 62, what is x? (a) 6 (b) 8 (c) 7 (d) 49
  13. 13.If 8x + 2 = 114, what is x? (a) 13 (b) 14 (c) 112 (d) 15
  14. 14.If x/6 + 12 = 23, what is x? (a) 126 (b) 210 (c) 66 (d) 11
  15. 15.If 6x + 5 = 89, what is x? (a) 14 (b) 15 (c) 84 (d) 13
  16. 16.If 3x + 16 = x + 40, what is x? (a) 13 (b) 28 (c) 6 (d) 12
  17. 17.If x/2 + 2 = 6, what is x? (a) 10 (b) 8 (c) 16 (d) 4
  18. 18.If 4x + 10 = x + 25, what is x? (a) 7 (b) 3 (c) 5 (d) 6
  19. 19.If 5x + 13 = 23, what is x? (a) 10 (b) 3 (c) 1 (d) 2
  20. 20.If 3x + 14 = 2x + 25, what is x? (a) 12 (b) 11 (c) 13 (d) 39
  21. 21.If 8x + 12 = 124, what is x? (a) 15 (b) 17 (c) 14 (d) 112
  22. 22.If 6x + 18 = 30, what is x? (a) 2 (b) 12 (c) 8 (d) 3
  23. 23.If 7x − 8 = 83, what is x? (a) 91 (b) 13 (c) 14 (d) 12
  24. 24.If 6x + 22 = 94, what is x? (a) 13 (b) 12 (c) 11 (d) 72
  25. 25.If 8x − 105 = 15, what is x? (a) 120 (b) 15 (c) 16 (d) 14
  26. 26.If 3x + 3 = 2x + 10, what is x? (a) 13 (b) 9 (c) 7 (d) 8
  27. 27.If 3x + 2 = 2x + 3, what is x? (a) 3 (b) 5 (c) 2 (d) 1
  28. 28.If 7x + 30 = 44, what is x? (a) 2 (b) 1 (c) 14 (d) 3
  29. 29.If x/5 + 1 = 9, what is x? (a) 40 (b) 8 (c) 44 (d) 50
  30. 30.If x/6 + 13 = 25, what is x? (a) 228 (b) 137 (c) 72 (d) 12
  31. 31.If 6x + 2 = 50, what is x? (a) 8 (b) 7 (c) 9 (d) 48
  32. 32.If 7x + 30 = 128, what is x? (a) 14 (b) 13 (c) 15 (d) 98
  33. 33.If 6x + 20 = 2x + 52, what is x? (a) 9 (b) 18 (c) 4 (d) 8
  34. 34.If 4x + 5 = 3x + 10, what is x? (a) 5 (b) 6 (c) 15 (d) 7
  35. 35.If 7x − 18 = 3, what is x? (a) 4 (b) 21 (c) 3 (d) 2
  36. 36.If 3x + 28 = 43, what is x? (a) 15 (b) 4 (c) 6 (d) 5
  37. 37.If 3x + 9 = 45, what is x? (a) 13 (b) 36 (c) 18 (d) 12
  38. 38.If x/3 + 7 = 11, what is x? (a) 26 (b) 54 (c) 4 (d) 12
  39. 39.If x/3 + 15 = 19, what is x? (a) 42 (b) 102 (c) 4 (d) 12
  40. 40.If 8x + 2 = 7x + 12, what is x? (a) 14 (b) 12 (c) 10 (d) 11

Answer key

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

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