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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 217 · 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 4x + 20 = 64, what is x? (a) 11 (b) 21 (c) 44 (d) 12
  2. 2.If x/3 + 5 = 16, what is x? (a) 63 (b) 33 (c) 43 (d) 11
  3. 3.If 9x − 2 = 43, what is x? (a) 4 (b) 5 (c) 6 (d) 45
  4. 4.If 6x − 34 = 2, what is x? (a) 5 (b) 7 (c) 6 (d) 36
  5. 5.If 7x − 6 = 36, what is x? (a) 6 (b) 7 (c) 42 (d) 5
  6. 6.If 3x + 9 = 2x + 11, what is x? (a) 4 (b) 3 (c) 2 (d) 20
  7. 7.If 4x − 4 = 32, what is x? (a) 36 (b) 9 (c) 10 (d) 7
  8. 8.If 6x + 3 = 33, what is x? (a) 6 (b) 4 (c) 30 (d) 5
  9. 9.If x/2 + 6 = 8, what is x? (a) 2 (b) 4 (c) 10 (d) 28
  10. 10.If 7x − 10 = 46, what is x? (a) 7 (b) 8 (c) 9 (d) 56
  11. 11.If x/3 + 4 = 7, what is x? (a) 3 (b) 17 (c) 33 (d) 9
  12. 12.If 8x − 6 = 114, what is x? (a) 120 (b) 16 (c) 15 (d) 14
  13. 13.If x/2 + 13 = 21, what is x? (a) 16 (b) 8 (c) 68 (d) 29
  14. 14.If 4x + 13 = 45, what is x? (a) 7 (b) 9 (c) 32 (d) 8
  15. 15.If 9x + 3 = 2x + 66, what is x? (a) 8 (b) 11 (c) 9 (d) 10
  16. 16.If 9x + 11 = 92, what is x? (a) 10 (b) 81 (c) 9 (d) 8
  17. 17.If 4x − 12 = 4, what is x? (a) 5 (b) 4 (c) 16 (d) 3
  18. 18.If 5x + 15 = 55, what is x? (a) 14 (b) 8 (c) 40 (d) 9
  19. 19.If 7x + 7 = 112, what is x? (a) 16 (b) 105 (c) 17 (d) 15
  20. 20.If 8x + 6 = 3x + 51, what is x? (a) 8 (b) 9 (c) 10 (d) 11
  21. 21.If x/4 + 6 = 18, what is x? (a) 12 (b) 48 (c) 66 (d) 96
  22. 22.If x/3 + 4 = 9, what is x? (a) 23 (b) 15 (c) 39 (d) 5
  23. 23.If 8x + 5 = 2x + 65, what is x? (a) 11 (b) 10 (c) 12 (d) 6
  24. 24.If 8x + 15 = 87, what is x? (a) 10 (b) 72 (c) 8 (d) 9
  25. 25.If x/6 + 11 = 15, what is x? (a) 4 (b) 24 (c) 79 (d) 156
  26. 26.If 5x + 12 = 37, what is x? (a) 4 (b) 6 (c) 25 (d) 5
  27. 27.If 8x − 44 = 12, what is x? (a) 6 (b) 56 (c) 8 (d) 7
  28. 28.If 9x − 41 = 4, what is x? (a) 45 (b) 5 (c) 4 (d) 6
  29. 29.If 4x + 6 = 3x + 13, what is x? (a) 1 (b) 19 (c) 8 (d) 7
  30. 30.If x/3 + 14 = 25, what is x? (a) 61 (b) 11 (c) 117 (d) 33
  31. 31.If 6x − 2 = 22, what is x? (a) 24 (b) 3 (c) 4 (d) 5
  32. 32.If x/4 + 11 = 18, what is x? (a) 61 (b) 7 (c) 28 (d) 116
  33. 33.If 3x + 3 = 36, what is x? (a) 33 (b) 12 (c) 13 (d) 11
  34. 34.If 8x − 2 = 22, what is x? (a) 2 (b) 4 (c) 24 (d) 3
  35. 35.If 9x + 6 = 87, what is x? (a) 9 (b) 8 (c) 81 (d) 10
  36. 36.If 6x + 6 = 4x + 20, what is x? (a) 7 (b) 9 (c) 8 (d) 13
  37. 37.If x/4 + 3 = 13, what is x? (a) 40 (b) 49 (c) 64 (d) 10
  38. 38.If x/5 + 1 = 12, what is x? (a) 59 (b) 11 (c) 55 (d) 65
  39. 39.If 7x + 1 = 15, what is x? (a) 14 (b) 1 (c) 2 (d) 3
  40. 40.If 2x + 2 = 26, what is x? (a) 24 (b) 12 (c) 13 (d) 14

Answer key

  1. 11
  2. 33
  3. 5
  4. 6
  5. 6
  6. 2
  7. 9
  8. 5
  9. 4
  10. 8
  11. 9
  12. 15
  13. 16
  14. 8
  15. 9
  16. 9
  17. 4
  18. 8
  19. 15
  20. 9
  21. 48
  22. 15
  23. 10
  24. 9
  25. 24
  26. 5
  27. 7
  28. 5
  29. 7
  30. 33
  31. 4
  32. 28
  33. 11
  34. 3
  35. 9
  36. 7
  37. 40
  38. 55
  39. 2
  40. 12

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