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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 801 · 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 x/5 + 1 = 7, what is x? (a) 6 (b) 30 (c) 40 (d) 34
  2. 2.If 2x + 25 = 45, what is x? (a) 35 (b) 20 (c) 11 (d) 10
  3. 3.If x/2 + 11 = 15, what is x? (a) 52 (b) 4 (c) 19 (d) 8
  4. 4.If 5x + 21 = 36, what is x? (a) 15 (b) 2 (c) 4 (d) 3
  5. 5.If 3x − 3 = 6, what is x? (a) 1 (b) 9 (c) 4 (d) 3
  6. 6.If x/5 + 12 = 23, what is x? (a) 11 (b) 103 (c) 55 (d) 175
  7. 7.If 8x + 16 = 4x + 44, what is x? (a) 15 (b) 7 (c) 8 (d) 9
  8. 8.If 8x − 38 = 18, what is x? (a) 56 (b) 7 (c) 8 (d) 6
  9. 9.If 3x + 19 = 58, what is x? (a) 12 (b) 39 (c) 13 (d) 14
  10. 10.If 8x − 3 = 101, what is x? (a) 12 (b) 13 (c) 14 (d) 104
  11. 11.If 3x + 12 = 2x + 19, what is x? (a) 31 (b) 8 (c) 9 (d) 7
  12. 12.If 9x − 3 = 15, what is x? (a) 1 (b) 3 (c) 2 (d) 18
  13. 13.If 4x + 19 = 47, what is x? (a) 6 (b) 8 (c) 7 (d) 28
  14. 14.If x/4 + 10 = 21, what is x? (a) 74 (b) 11 (c) 44 (d) 124
  15. 15.If 5x + 14 = x + 38, what is x? (a) 4 (b) 13 (c) 6 (d) 7
  16. 16.If x/2 + 13 = 18, what is x? (a) 10 (b) 23 (c) 62 (d) 5
  17. 17.If 7x + 28 = 63, what is x? (a) 5 (b) 13 (c) 35 (d) 6
  18. 18.If 5x + 3 = x + 7, what is x? (a) 1 (b) 4 (c) 2 (d) 3
  19. 19.If 6x + 5 = 2x + 9, what is x? (a) 1 (b) 2 (c) 3 (d) 4
  20. 20.If 6x + 13 = 73, what is x? (a) 10 (b) 11 (c) 9 (d) 60
  21. 21.If 8x + 3 = 7x + 15, what is x? (a) 12 (b) 14 (c) 18 (d) 13
  22. 22.If 5x + 1 = 3x + 19, what is x? (a) 11 (b) 8 (c) 9 (d) 10
  23. 23.If 9x + 2 = 83, what is x? (a) 8 (b) 10 (c) 81 (d) 9
  24. 24.If 5x + 1 = x + 9, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  25. 25.If 9x − 80 = 1, what is x? (a) 8 (b) 81 (c) 9 (d) 10
  26. 26.If x/4 + 8 = 20, what is x? (a) 72 (b) 48 (c) 112 (d) 12
  27. 27.If x/5 + 9 = 21, what is x? (a) 96 (b) 12 (c) 60 (d) 150
  28. 28.If 9x + 3 = 75, what is x? (a) 9 (b) 72 (c) 7 (d) 8
  29. 29.If 7x + 21 = 49, what is x? (a) 5 (b) 28 (c) 10 (d) 4
  30. 30.If 5x + 2 = x + 14, what is x? (a) 2 (b) 3 (c) 4 (d) 5
  31. 31.If 5x + 18 = 4x + 21, what is x? (a) 39 (b) 5 (c) 4 (d) 3
  32. 32.If 3x − 1 = 11, what is x? (a) 4 (b) 5 (c) 3 (d) 12
  33. 33.If 4x − 7 = 5, what is x? (a) 4 (b) 3 (c) 2 (d) 12
  34. 34.If 9x + 9 = 3x + 69, what is x? (a) 11 (b) 5 (c) 13 (d) 10
  35. 35.If x/3 + 4 = 13, what is x? (a) 35 (b) 9 (c) 27 (d) 51
  36. 36.If x/6 + 14 = 25, what is x? (a) 136 (b) 234 (c) 11 (d) 66
  37. 37.If 8x − 48 = 48, what is x? (a) 11 (b) 12 (c) 13 (d) 96
  38. 38.If 4x + 1 = 3x + 10, what is x? (a) 10 (b) 9 (c) 8 (d) 11
  39. 39.If 5x + 11 = 41, what is x? (a) 5 (b) 7 (c) 6 (d) 30
  40. 40.If 4x + 6 = 3x + 15, what is x? (a) 10 (b) 11 (c) 21 (d) 9

Answer key

  1. 30
  2. 10
  3. 8
  4. 3
  5. 3
  6. 55
  7. 7
  8. 7
  9. 13
  10. 13
  11. 7
  12. 2
  13. 7
  14. 44
  15. 6
  16. 10
  17. 5
  18. 1
  19. 1
  20. 10
  21. 12
  22. 9
  23. 9
  24. 2
  25. 9
  26. 48
  27. 60
  28. 8
  29. 4
  30. 3
  31. 3
  32. 4
  33. 3
  34. 10
  35. 27
  36. 66
  37. 12
  38. 9
  39. 6
  40. 9

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