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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 287 · 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 + 19 = x + 67, what is x? (a) 8 (b) 13 (c) 14 (d) 12
  2. 2.If x/3 + 3 = 13, what is x? (a) 10 (b) 30 (c) 36 (d) 48
  3. 3.If 5x + 2 = 12, what is x? (a) 2 (b) 3 (c) 1 (d) 10
  4. 4.If 7x + 15 = 2x + 30, what is x? (a) 4 (b) 5 (c) 9 (d) 3
  5. 5.If 7x + 23 = 72, what is x? (a) 49 (b) 8 (c) 6 (d) 7
  6. 6.If x/2 + 11 = 16, what is x? (a) 10 (b) 5 (c) 54 (d) 21
  7. 7.If x/6 + 2 = 4, what is x? (a) 22 (b) 2 (c) 36 (d) 12
  8. 8.If 4x − 3 = 9, what is x? (a) 12 (b) 3 (c) 2 (d) 4
  9. 9.If 3x + 15 = 54, what is x? (a) 39 (b) 14 (c) 13 (d) 23
  10. 10.If x/5 + 9 = 21, what is x? (a) 96 (b) 12 (c) 60 (d) 150
  11. 11.If x/3 + 7 = 10, what is x? (a) 51 (b) 23 (c) 3 (d) 9
  12. 12.If x/2 + 9 = 15, what is x? (a) 6 (b) 12 (c) 48 (d) 21
  13. 13.If 5x + 29 = 89, what is x? (a) 11 (b) 12 (c) 60 (d) 13
  14. 14.If x/6 + 10 = 17, what is x? (a) 162 (b) 7 (c) 92 (d) 42
  15. 15.If 4x − 9 = 39, what is x? (a) 13 (b) 48 (c) 11 (d) 12
  16. 16.If 7x + 16 = 79, what is x? (a) 63 (b) 9 (c) 10 (d) 8
  17. 17.If x/3 + 14 = 26, what is x? (a) 64 (b) 12 (c) 120 (d) 36
  18. 18.If 4x + 9 = 3x + 18, what is x? (a) 10 (b) 11 (c) 27 (d) 9
  19. 19.If x/6 + 13 = 24, what is x? (a) 222 (b) 131 (c) 11 (d) 66
  20. 20.If 7x + 6 = 62, what is x? (a) 56 (b) 7 (c) 8 (d) 9
  21. 21.If 6x + 9 = 45, what is x? (a) 9 (b) 36 (c) 6 (d) 7
  22. 22.If 3x − 2 = 40, what is x? (a) 14 (b) 42 (c) 13 (d) 15
  23. 23.If 8x − 58 = 6, what is x? (a) 7 (b) 8 (c) 9 (d) 64
  24. 24.If 8x + 19 = 3x + 54, what is x? (a) 6 (b) 7 (c) 8 (d) 9
  25. 25.If x/4 + 3 = 11, what is x? (a) 56 (b) 41 (c) 8 (d) 32
  26. 26.If x/6 + 14 = 26, what is x? (a) 142 (b) 240 (c) 72 (d) 12
  27. 27.If 5x + 12 = 2x + 42, what is x? (a) 18 (b) 12 (c) 10 (d) 11
  28. 28.If 8x + 16 = 7x + 22, what is x? (a) 8 (b) 6 (c) 7 (d) 38
  29. 29.If 4x + 5 = 65, what is x? (a) 16 (b) 14 (c) 60 (d) 15
  30. 30.If 2x + 5 = 29, what is x? (a) 12 (b) 24 (c) 13 (d) 17
  31. 31.If 3x + 13 = 49, what is x? (a) 11 (b) 36 (c) 12 (d) 13
  32. 32.If 7x + 22 = 64, what is x? (a) 7 (b) 5 (c) 42 (d) 6
  33. 33.If 4x + 4 = x + 16, what is x? (a) 3 (b) 4 (c) 6 (d) 5
  34. 34.If 4x + 10 = 34, what is x? (a) 11 (b) 7 (c) 24 (d) 6
  35. 35.If 2x − 3 = 3, what is x? (a) 4 (b) 3 (c) 2 (d) 6
  36. 36.If 5x − 2 = 33, what is x? (a) 8 (b) 35 (c) 6 (d) 7
  37. 37.If 4x + 4 = x + 34, what is x? (a) 11 (b) 12 (c) 10 (d) 6
  38. 38.If x/6 + 7 = 11, what is x? (a) 24 (b) 4 (c) 108 (d) 59
  39. 39.If x/4 + 3 = 7, what is x? (a) 4 (b) 16 (c) 40 (d) 25
  40. 40.If x/6 + 13 = 18, what is x? (a) 95 (b) 30 (c) 5 (d) 186

Answer key

  1. 12
  2. 30
  3. 2
  4. 3
  5. 7
  6. 10
  7. 12
  8. 3
  9. 13
  10. 60
  11. 9
  12. 12
  13. 12
  14. 42
  15. 12
  16. 9
  17. 36
  18. 9
  19. 66
  20. 8
  21. 6
  22. 14
  23. 8
  24. 7
  25. 32
  26. 72
  27. 10
  28. 6
  29. 15
  30. 12
  31. 12
  32. 6
  33. 4
  34. 6
  35. 3
  36. 7
  37. 10
  38. 24
  39. 16
  40. 30

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