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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 143 · 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 5x − 19 = 16, what is x? (a) 35 (b) 6 (c) 7 (d) 8
  2. 2.If 5x + 2 = 2x + 32, what is x? (a) 11 (b) 10 (c) 9 (d) 12
  3. 3.If 3x − 13 = 23, what is x? (a) 13 (b) 12 (c) 36 (d) 11
  4. 4.If 3x + 2 = x + 10, what is x? (a) 2 (b) 5 (c) 6 (d) 4
  5. 5.If 3x + 4 = 10, what is x? (a) 2 (b) 6 (c) 1 (d) 3
  6. 6.If 5x + 10 = 60, what is x? (a) 10 (b) 11 (c) 50 (d) 14
  7. 7.If 6x + 28 = 112, what is x? (a) 14 (b) 15 (c) 13 (d) 84
  8. 8.If 8x + 4 = 28, what is x? (a) 24 (b) 4 (c) 2 (d) 3
  9. 9.If x/5 + 4 = 10, what is x? (a) 6 (b) 30 (c) 70 (d) 46
  10. 10.If x/3 + 10 = 21, what is x? (a) 53 (b) 11 (c) 93 (d) 33
  11. 11.If 6x − 29 = 13, what is x? (a) 7 (b) 6 (c) 8 (d) 42
  12. 12.If x/3 + 7 = 10, what is x? (a) 51 (b) 9 (c) 3 (d) 23
  13. 13.If x/4 + 2 = 14, what is x? (a) 12 (b) 54 (c) 64 (d) 48
  14. 14.If 9x + 13 = 5x + 33, what is x? (a) 4 (b) 7 (c) 6 (d) 5
  15. 15.If 7x − 13 = 8, what is x? (a) 21 (b) 3 (c) 2 (d) 4
  16. 16.If 4x + 30 = 86, what is x? (a) 14 (b) 29 (c) 56 (d) 15
  17. 17.If 7x + 1 = x + 49, what is x? (a) 9 (b) 6 (c) 10 (d) 8
  18. 18.If 3x − 6 = 6, what is x? (a) 12 (b) 5 (c) 3 (d) 4
  19. 19.If 7x + 19 = 110, what is x? (a) 13 (b) 91 (c) 14 (d) 12
  20. 20.If 5x + 5 = 60, what is x? (a) 12 (b) 11 (c) 13 (d) 55
  21. 21.If 5x − 24 = 11, what is x? (a) 35 (b) 6 (c) 7 (d) 8
  22. 22.If 8x − 6 = 82, what is x? (a) 88 (b) 12 (c) 11 (d) 10
  23. 23.If 9x − 105 = 30, what is x? (a) 14 (b) 15 (c) 135 (d) 16
  24. 24.If 7x − 24 = 18, what is x? (a) 7 (b) 5 (c) 6 (d) 42
  25. 25.If 4x + 22 = 58, what is x? (a) 20 (b) 9 (c) 36 (d) 10
  26. 26.If 9x − 44 = 64, what is x? (a) 13 (b) 12 (c) 108 (d) 11
  27. 27.If 4x + 2 = 34, what is x? (a) 8 (b) 32 (c) 9 (d) 7
  28. 28.If 2x + 9 = 15, what is x? (a) 6 (b) 12 (c) 4 (d) 3
  29. 29.If 2x − 12 = 10, what is x? (a) 12 (b) 11 (c) 10 (d) 22
  30. 30.If x/6 + 12 = 21, what is x? (a) 9 (b) 198 (c) 54 (d) 114
  31. 31.If 9x + 14 = 2x + 77, what is x? (a) 10 (b) 13 (c) 9 (d) 11
  32. 32.If x/2 + 13 = 22, what is x? (a) 9 (b) 70 (c) 31 (d) 18
  33. 33.If 4x + 10 = x + 28, what is x? (a) 7 (b) 8 (c) 5 (d) 6
  34. 34.If x/5 + 15 = 20, what is x? (a) 5 (b) 175 (c) 85 (d) 25
  35. 35.If 9x + 8 = 3x + 68, what is x? (a) 12 (b) 10 (c) 5 (d) 11
  36. 36.If 2x + 23 = 49, what is x? (a) 36 (b) 26 (c) 13 (d) 14
  37. 37.If x/5 + 10 = 14, what is x? (a) 120 (b) 60 (c) 20 (d) 4
  38. 38.If 5x + 14 = 44, what is x? (a) 7 (b) 30 (c) 5 (d) 6
  39. 39.If 4x − 4 = 28, what is x? (a) 32 (b) 8 (c) 6 (d) 9
  40. 40.If x/3 + 13 = 21, what is x? (a) 24 (b) 8 (c) 50 (d) 102

Answer key

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

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