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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 559 · 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 8x + 5 = 117, what is x? (a) 15 (b) 112 (c) 13 (d) 14
  2. 2.If 2x + 17 = 45, what is x? (a) 14 (b) 28 (c) 15 (d) 31
  3. 3.If 9x + 1 = 136, what is x? (a) 16 (b) 14 (c) 135 (d) 15
  4. 4.If 2x − 1 = 7, what is x? (a) 8 (b) 4 (c) 3 (d) 5
  5. 5.If 3x + 18 = 57, what is x? (a) 39 (b) 25 (c) 13 (d) 14
  6. 6.If 4x + 9 = 2x + 11, what is x? (a) 2 (b) 10 (c) 3 (d) 1
  7. 7.If 7x + 6 = 5x + 16, what is x? (a) 7 (b) 6 (c) 5 (d) 11
  8. 8.If x/6 + 14 = 21, what is x? (a) 112 (b) 210 (c) 7 (d) 42
  9. 9.If 5x − 12 = 38, what is x? (a) 11 (b) 50 (c) 10 (d) 9
  10. 10.If x/5 + 15 = 20, what is x? (a) 25 (b) 5 (c) 175 (d) 85
  11. 11.If x/6 + 3 = 7, what is x? (a) 39 (b) 60 (c) 4 (d) 24
  12. 12.If 7x + 9 = 6x + 18, what is x? (a) 27 (b) 11 (c) 10 (d) 9
  13. 13.If x/3 + 13 = 17, what is x? (a) 38 (b) 90 (c) 4 (d) 12
  14. 14.If 9x + 4 = 5x + 36, what is x? (a) 10 (b) 8 (c) 7 (d) 9
  15. 15.If 7x − 19 = 16, what is x? (a) 6 (b) 5 (c) 35 (d) 4
  16. 16.If 8x − 68 = 28, what is x? (a) 11 (b) 12 (c) 13 (d) 96
  17. 17.If 9x + 7 = 2x + 42, what is x? (a) 7 (b) 4 (c) 5 (d) 6
  18. 18.If 7x − 76 = 1, what is x? (a) 12 (b) 77 (c) 11 (d) 10
  19. 19.If 9x + 1 = 6x + 19, what is x? (a) 7 (b) 8 (c) 5 (d) 6
  20. 20.If x/3 + 10 = 14, what is x? (a) 72 (b) 12 (c) 32 (d) 4
  21. 21.If 8x + 2 = 7x + 6, what is x? (a) 5 (b) 8 (c) 6 (d) 4
  22. 22.If x/4 + 6 = 15, what is x? (a) 9 (b) 36 (c) 84 (d) 54
  23. 23.If 8x − 4 = 52, what is x? (a) 6 (b) 8 (c) 56 (d) 7
  24. 24.If 6x − 2 = 10, what is x? (a) 3 (b) 2 (c) 1 (d) 12
  25. 25.If 3x + 9 = 39, what is x? (a) 16 (b) 11 (c) 30 (d) 10
  26. 26.If 3x − 4 = 29, what is x? (a) 12 (b) 10 (c) 11 (d) 33
  27. 27.If 6x + 23 = 89, what is x? (a) 12 (b) 66 (c) 10 (d) 11
  28. 28.If 2x + 13 = 31, what is x? (a) 22 (b) 10 (c) 9 (d) 18
  29. 29.If x/4 + 8 = 18, what is x? (a) 104 (b) 40 (c) 64 (d) 10
  30. 30.If 2x − 21 = 9, what is x? (a) 15 (b) 14 (c) 16 (d) 30
  31. 31.If x/3 + 1 = 13, what is x? (a) 38 (b) 42 (c) 12 (d) 36
  32. 32.If 6x − 2 = 40, what is x? (a) 42 (b) 7 (c) 6 (d) 8
  33. 33.If 6x + 13 = 67, what is x? (a) 10 (b) 9 (c) 54 (d) 8
  34. 34.If x/2 + 5 = 11, what is x? (a) 32 (b) 17 (c) 6 (d) 12
  35. 35.If 6x + 11 = 3x + 44, what is x? (a) 11 (b) 12 (c) 13 (d) 10
  36. 36.If 8x − 14 = 10, what is x? (a) 4 (b) 2 (c) 24 (d) 3
  37. 37.If 4x − 1 = 15, what is x? (a) 3 (b) 4 (c) 5 (d) 16
  38. 38.If 5x − 17 = 33, what is x? (a) 9 (b) 10 (c) 50 (d) 11
  39. 39.If x/2 + 3 = 13, what is x? (a) 20 (b) 23 (c) 32 (d) 10
  40. 40.If x/4 + 9 = 12, what is x? (a) 12 (b) 39 (c) 3 (d) 84

Answer key

  1. 14
  2. 14
  3. 15
  4. 4
  5. 13
  6. 1
  7. 5
  8. 42
  9. 10
  10. 25
  11. 24
  12. 9
  13. 12
  14. 8
  15. 5
  16. 12
  17. 5
  18. 11
  19. 6
  20. 12
  21. 4
  22. 36
  23. 7
  24. 2
  25. 10
  26. 11
  27. 11
  28. 9
  29. 40
  30. 15
  31. 36
  32. 7
  33. 9
  34. 12
  35. 11
  36. 3
  37. 4
  38. 10
  39. 20
  40. 12

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