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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 620 · 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 − 24 = 3, what is x? (a) 4 (b) 27 (c) 2 (d) 3
  2. 2.If 3x + 6 = x + 20, what is x? (a) 8 (b) 7 (c) 13 (d) 9
  3. 3.If 3x − 1 = 14, what is x? (a) 5 (b) 4 (c) 15 (d) 6
  4. 4.If x/6 + 3 = 8, what is x? (a) 5 (b) 30 (c) 45 (d) 66
  5. 5.If 9x + 3 = 4x + 13, what is x? (a) 3 (b) 2 (c) 1 (d) 4
  6. 6.If x/5 + 9 = 19, what is x? (a) 140 (b) 50 (c) 10 (d) 86
  7. 7.If 7x + 21 = 84, what is x? (a) 63 (b) 15 (c) 9 (d) 10
  8. 8.If 7x − 50 = 27, what is x? (a) 12 (b) 77 (c) 11 (d) 10
  9. 9.If 8x + 9 = 73, what is x? (a) 9 (b) 8 (c) 7 (d) 64
  10. 10.If x/3 + 11 = 14, what is x? (a) 75 (b) 31 (c) 3 (d) 9
  11. 11.If 9x + 26 = 143, what is x? (a) 13 (b) 12 (c) 117 (d) 14
  12. 12.If x/3 + 13 = 15, what is x? (a) 32 (b) 84 (c) 6 (d) 2
  13. 13.If 4x − 36 = 4, what is x? (a) 40 (b) 9 (c) 11 (d) 10
  14. 14.If 4x + 20 = 60, what is x? (a) 40 (b) 20 (c) 10 (d) 11
  15. 15.If 7x + 10 = 115, what is x? (a) 15 (b) 14 (c) 16 (d) 105
  16. 16.If 6x + 16 = 94, what is x? (a) 14 (b) 78 (c) 13 (d) 12
  17. 17.If 9x + 18 = x + 50, what is x? (a) 3 (b) 4 (c) 6 (d) 5
  18. 18.If 4x + 5 = 3x + 13, what is x? (a) 18 (b) 9 (c) 8 (d) 10
  19. 19.If x/5 + 6 = 12, what is x? (a) 30 (b) 90 (c) 54 (d) 6
  20. 20.If x/4 + 11 = 17, what is x? (a) 112 (b) 24 (c) 6 (d) 57
  21. 21.If 2x − 2 = 4, what is x? (a) 4 (b) 1 (c) 3 (d) 6
  22. 22.If 4x − 1 = 7, what is x? (a) 1 (b) 3 (c) 2 (d) 8
  23. 23.If 7x + 5 = 54, what is x? (a) 7 (b) 49 (c) 6 (d) 8
  24. 24.If 6x − 4 = 8, what is x? (a) 12 (b) 1 (c) 2 (d) 3
  25. 25.If 6x + 6 = x + 66, what is x? (a) 13 (b) 12 (c) 11 (d) 14
  26. 26.If 4x + 4 = 2x + 22, what is x? (a) 3 (b) 10 (c) 13 (d) 9
  27. 27.If x/5 + 1 = 7, what is x? (a) 6 (b) 34 (c) 30 (d) 40
  28. 28.If 7x + 2 = 2x + 62, what is x? (a) 13 (b) 11 (c) 14 (d) 12
  29. 29.If 7x − 48 = 15, what is x? (a) 8 (b) 63 (c) 9 (d) 10
  30. 30.If 5x + 28 = 48, what is x? (a) 5 (b) 3 (c) 4 (d) 20
  31. 31.If 2x − 10 = 2, what is x? (a) 5 (b) 12 (c) 6 (d) 7
  32. 32.If 8x + 7 = 6x + 21, what is x? (a) 14 (b) 8 (c) 7 (d) 1
  33. 33.If x/6 + 12 = 14, what is x? (a) 156 (b) 2 (c) 72 (d) 12
  34. 34.If 9x − 52 = 47, what is x? (a) 11 (b) 99 (c) 10 (d) 12
  35. 35.If 3x − 6 = 3, what is x? (a) 9 (b) 2 (c) 3 (d) 4
  36. 36.If 8x − 17 = 39, what is x? (a) 6 (b) 56 (c) 8 (d) 7
  37. 37.If 6x + 12 = 78, what is x? (a) 12 (b) 66 (c) 15 (d) 11
  38. 38.If 2x + 22 = 52, what is x? (a) 30 (b) 37 (c) 16 (d) 15
  39. 39.If x/4 + 10 = 21, what is x? (a) 124 (b) 11 (c) 74 (d) 44
  40. 40.If 3x − 16 = 14, what is x? (a) 10 (b) 30 (c) 11 (d) 9

Answer key

  1. 3
  2. 7
  3. 5
  4. 30
  5. 2
  6. 50
  7. 9
  8. 11
  9. 8
  10. 9
  11. 13
  12. 6
  13. 10
  14. 10
  15. 15
  16. 13
  17. 4
  18. 8
  19. 30
  20. 24
  21. 3
  22. 2
  23. 7
  24. 2
  25. 12
  26. 9
  27. 30
  28. 12
  29. 9
  30. 4
  31. 6
  32. 7
  33. 12
  34. 11
  35. 3
  36. 7
  37. 11
  38. 15
  39. 44
  40. 10

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