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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 551 · 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 + 6 = 132, what is x? (a) 14 (b) 15 (c) 13 (d) 126
  2. 2.If x/6 + 4 = 12, what is x? (a) 8 (b) 48 (c) 96 (d) 68
  3. 3.If 3x + 14 = 29, what is x? (a) 15 (b) 6 (c) 4 (d) 5
  4. 4.If 5x + 19 = 2x + 28, what is x? (a) 5 (b) 2 (c) 4 (d) 3
  5. 5.If 8x + 2 = 6x + 24, what is x? (a) 12 (b) 13 (c) 10 (d) 11
  6. 6.If 7x − 1 = 41, what is x? (a) 7 (b) 5 (c) 42 (d) 6
  7. 7.If x/3 + 8 = 16, what is x? (a) 40 (b) 24 (c) 8 (d) 72
  8. 8.If x/2 + 13 = 18, what is x? (a) 62 (b) 23 (c) 5 (d) 10
  9. 9.If 3x − 7 = 8, what is x? (a) 15 (b) 6 (c) 4 (d) 5
  10. 10.If x/5 + 4 = 7, what is x? (a) 31 (b) 15 (c) 3 (d) 55
  11. 11.If 5x + 9 = 84, what is x? (a) 75 (b) 16 (c) 14 (d) 15
  12. 12.If 8x + 11 = 75, what is x? (a) 64 (b) 9 (c) 8 (d) 7
  13. 13.If 3x + 7 = 2x + 16, what is x? (a) 10 (b) 9 (c) 11 (d) 23
  14. 14.If 3x + 3 = 36, what is x? (a) 33 (b) 12 (c) 11 (d) 13
  15. 15.If 8x + 8 = 112, what is x? (a) 15 (b) 104 (c) 14 (d) 13
  16. 16.If x/3 + 9 = 15, what is x? (a) 36 (b) 72 (c) 18 (d) 6
  17. 17.If x/5 + 11 = 13, what is x? (a) 2 (b) 120 (c) 54 (d) 10
  18. 18.If 2x − 8 = 6, what is x? (a) 7 (b) 14 (c) 6 (d) 8
  19. 19.If 9x − 31 = 14, what is x? (a) 45 (b) 4 (c) 5 (d) 6
  20. 20.If 3x + 6 = 2x + 14, what is x? (a) 20 (b) 10 (c) 9 (d) 8
  21. 21.If 6x + 6 = 5x + 13, what is x? (a) 19 (b) 8 (c) 7 (d) 9
  22. 22.If x/3 + 15 = 20, what is x? (a) 5 (b) 105 (c) 15 (d) 45
  23. 23.If 2x + 15 = 19, what is x? (a) 17 (b) 3 (c) 2 (d) 4
  24. 24.If 5x + 18 = x + 66, what is x? (a) 13 (b) 21 (c) 8 (d) 12
  25. 25.If 7x + 12 = 110, what is x? (a) 98 (b) 13 (c) 15 (d) 14
  26. 26.If x/3 + 7 = 10, what is x? (a) 23 (b) 51 (c) 9 (d) 3
  27. 27.If 4x − 32 = 16, what is x? (a) 11 (b) 13 (c) 48 (d) 12
  28. 28.If 3x + 2 = 26, what is x? (a) 24 (b) 9 (c) 7 (d) 8
  29. 29.If 3x + 17 = 2x + 22, what is x? (a) 39 (b) 6 (c) 1 (d) 5
  30. 30.If 9x − 16 = 20, what is x? (a) 4 (b) 5 (c) 36 (d) 3
  31. 31.If 5x + 1 = x + 9, what is x? (a) 3 (b) 1 (c) 4 (d) 2
  32. 32.If x/2 + 7 = 13, what is x? (a) 12 (b) 40 (c) 6 (d) 19
  33. 33.If 6x − 22 = 20, what is x? (a) 7 (b) 6 (c) 8 (d) 42
  34. 34.If x/4 + 12 = 17, what is x? (a) 56 (b) 116 (c) 20 (d) 5
  35. 35.If 9x − 93 = 33, what is x? (a) 14 (b) 15 (c) 13 (d) 126
  36. 36.If 4x + 2 = x + 26, what is x? (a) 9 (b) 8 (c) 10 (d) 7
  37. 37.If x/5 + 2 = 5, what is x? (a) 15 (b) 23 (c) 35 (d) 3
  38. 38.If x/4 + 9 = 11, what is x? (a) 80 (b) 2 (c) 35 (d) 8
  39. 39.If 5x + 22 = 92, what is x? (a) 15 (b) 13 (c) 14 (d) 70
  40. 40.If 3x − 4 = 14, what is x? (a) 7 (b) 5 (c) 6 (d) 18

Answer key

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

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