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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 632 · 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 + 8 = 38, what is x? (a) 6 (b) 5 (c) 30 (d) 7
  2. 2.If 4x − 32 = 12, what is x? (a) 44 (b) 11 (c) 10 (d) 12
  3. 3.If x/2 + 4 = 9, what is x? (a) 14 (b) 26 (c) 5 (d) 10
  4. 4.If x/3 + 9 = 12, what is x? (a) 3 (b) 9 (c) 27 (d) 63
  5. 5.If 8x + 3 = 67, what is x? (a) 7 (b) 64 (c) 9 (d) 8
  6. 6.If 4x + 5 = x + 26, what is x? (a) 9 (b) 8 (c) 7 (d) 6
  7. 7.If x/4 + 7 = 12, what is x? (a) 5 (b) 41 (c) 76 (d) 20
  8. 8.If 3x + 9 = 51, what is x? (a) 14 (b) 42 (c) 20 (d) 15
  9. 9.If 4x + 3 = 3x + 9, what is x? (a) 6 (b) 8 (c) 12 (d) 7
  10. 10.If 9x + 27 = 117, what is x? (a) 11 (b) 90 (c) 10 (d) 16
  11. 11.If 6x − 9 = 3, what is x? (a) 2 (b) 3 (c) 12 (d) 1
  12. 12.If 6x + 9 = 21, what is x? (a) 12 (b) 3 (c) 5 (d) 2
  13. 13.If 4x − 25 = 35, what is x? (a) 60 (b) 16 (c) 14 (d) 15
  14. 14.If 3x − 5 = 1, what is x? (a) 2 (b) 1 (c) 6 (d) 3
  15. 15.If 9x + 23 = 68, what is x? (a) 5 (b) 6 (c) 4 (d) 45
  16. 16.If 8x + 27 = 59, what is x? (a) 32 (b) 3 (c) 4 (d) 5
  17. 17.If 5x + 8 = 33, what is x? (a) 5 (b) 25 (c) 6 (d) 4
  18. 18.If 5x + 4 = 54, what is x? (a) 10 (b) 9 (c) 50 (d) 11
  19. 19.If 9x + 13 = 2x + 62, what is x? (a) 6 (b) 8 (c) 7 (d) 9
  20. 20.If 5x − 39 = 31, what is x? (a) 70 (b) 13 (c) 14 (d) 15
  21. 21.If 2x − 24 = 6, what is x? (a) 16 (b) 14 (c) 30 (d) 15
  22. 22.If 8x + 29 = 141, what is x? (a) 15 (b) 112 (c) 13 (d) 14
  23. 23.If x/4 + 15 = 19, what is x? (a) 61 (b) 4 (c) 136 (d) 16
  24. 24.If 9x + 11 = 2x + 18, what is x? (a) 2 (b) 3 (c) 4 (d) 1
  25. 25.If x/2 + 8 = 19, what is x? (a) 54 (b) 22 (c) 30 (d) 11
  26. 26.If x/2 + 4 = 13, what is x? (a) 34 (b) 22 (c) 18 (d) 9
  27. 27.If x/6 + 4 = 12, what is x? (a) 96 (b) 48 (c) 68 (d) 8
  28. 28.If x/6 + 5 = 11, what is x? (a) 61 (b) 96 (c) 6 (d) 36
  29. 29.If 7x − 75 = 23, what is x? (a) 14 (b) 15 (c) 13 (d) 98
  30. 30.If 5x + 12 = 4x + 19, what is x? (a) 8 (b) 31 (c) 7 (d) 9
  31. 31.If x/6 + 12 = 23, what is x? (a) 126 (b) 210 (c) 11 (d) 66
  32. 32.If 5x + 10 = 85, what is x? (a) 15 (b) 16 (c) 19 (d) 75
  33. 33.If 5x + 5 = 4x + 16, what is x? (a) 11 (b) 13 (c) 12 (d) 21
  34. 34.If 7x + 1 = 4x + 28, what is x? (a) 9 (b) 10 (c) 11 (d) 8
  35. 35.If 3x + 12 = 2x + 17, what is x? (a) 1 (b) 29 (c) 6 (d) 5
  36. 36.If 4x + 9 = 2x + 23, what is x? (a) 16 (b) 7 (c) 9 (d) 8
  37. 37.If x/6 + 5 = 9, what is x? (a) 4 (b) 49 (c) 84 (d) 24
  38. 38.If 5x + 25 = 45, what is x? (a) 20 (b) 14 (c) 5 (d) 4
  39. 39.If 5x − 20 = 35, what is x? (a) 11 (b) 55 (c) 3 (d) 12
  40. 40.If 4x + 6 = 62, what is x? (a) 15 (b) 14 (c) 56 (d) 17

Answer key

  1. 6
  2. 11
  3. 10
  4. 9
  5. 8
  6. 7
  7. 20
  8. 14
  9. 6
  10. 10
  11. 2
  12. 2
  13. 15
  14. 2
  15. 5
  16. 4
  17. 5
  18. 10
  19. 7
  20. 14
  21. 15
  22. 14
  23. 16
  24. 1
  25. 22
  26. 18
  27. 48
  28. 36
  29. 14
  30. 7
  31. 66
  32. 15
  33. 11
  34. 9
  35. 5
  36. 7
  37. 24
  38. 4
  39. 11
  40. 14

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