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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 242 · 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 + 11 = 20, what is x? (a) 89 (b) 45 (c) 155 (d) 9
  2. 2.If x/6 + 10 = 15, what is x? (a) 30 (b) 80 (c) 150 (d) 5
  3. 3.If 9x − 56 = 79, what is x? (a) 14 (b) 135 (c) 16 (d) 15
  4. 4.If 2x + 22 = 44, what is x? (a) 33 (b) 11 (c) 12 (d) 22
  5. 5.If x/6 + 4 = 14, what is x? (a) 10 (b) 108 (c) 80 (d) 60
  6. 6.If 5x + 20 = 2x + 41, what is x? (a) 8 (b) 3 (c) 7 (d) 9
  7. 7.If 8x + 12 = 68, what is x? (a) 10 (b) 7 (c) 56 (d) 8
  8. 8.If 5x + 8 = 3x + 30, what is x? (a) 13 (b) 19 (c) 11 (d) 12
  9. 9.If 8x + 11 = 51, what is x? (a) 5 (b) 6 (c) 4 (d) 40
  10. 10.If 6x + 18 = 3x + 24, what is x? (a) 4 (b) 3 (c) 2 (d) 14
  11. 11.If x/5 + 13 = 18, what is x? (a) 5 (b) 77 (c) 155 (d) 25
  12. 12.If x/2 + 1 = 4, what is x? (a) 3 (b) 6 (c) 10 (d) 7
  13. 13.If x/6 + 9 = 20, what is x? (a) 11 (b) 66 (c) 111 (d) 174
  14. 14.If 9x + 18 = 90, what is x? (a) 12 (b) 9 (c) 8 (d) 72
  15. 15.If 8x + 10 = 2x + 82, what is x? (a) 13 (b) 14 (c) 12 (d) 11
  16. 16.If 4x − 52 = 4, what is x? (a) 14 (b) 15 (c) 13 (d) 56
  17. 17.If 7x + 1 = 6x + 10, what is x? (a) 10 (b) 11 (c) 8 (d) 9
  18. 18.If 5x + 18 = 63, what is x? (a) 8 (b) 9 (c) 10 (d) 45
  19. 19.If 5x − 4 = 11, what is x? (a) 3 (b) 15 (c) 2 (d) 4
  20. 20.If 5x + 24 = 89, what is x? (a) 65 (b) 13 (c) 14 (d) 12
  21. 21.If 3x + 13 = x + 15, what is x? (a) 2 (b) 3 (c) 14 (d) 1
  22. 22.If x/6 + 10 = 12, what is x? (a) 132 (b) 62 (c) 2 (d) 12
  23. 23.If x/4 + 2 = 12, what is x? (a) 10 (b) 56 (c) 46 (d) 40
  24. 24.If 3x + 6 = 27, what is x? (a) 8 (b) 11 (c) 21 (d) 7
  25. 25.If 6x − 11 = 1, what is x? (a) 12 (b) 1 (c) 2 (d) 3
  26. 26.If x/4 + 1 = 13, what is x? (a) 56 (b) 12 (c) 51 (d) 48
  27. 27.If 8x + 29 = 125, what is x? (a) 11 (b) 13 (c) 12 (d) 96
  28. 28.If x/5 + 7 = 18, what is x? (a) 11 (b) 83 (c) 125 (d) 55
  29. 29.If 5x − 16 = 4, what is x? (a) 4 (b) 5 (c) 20 (d) 3
  30. 30.If 4x + 7 = x + 31, what is x? (a) 9 (b) 7 (c) 8 (d) 10
  31. 31.If 3x + 13 = x + 25, what is x? (a) 19 (b) 7 (c) 3 (d) 6
  32. 32.If x/3 + 7 = 17, what is x? (a) 30 (b) 44 (c) 72 (d) 10
  33. 33.If 3x + 25 = 55, what is x? (a) 9 (b) 30 (c) 10 (d) 11
  34. 34.If 7x + 5 = x + 23, what is x? (a) 4 (b) 2 (c) 5 (d) 3
  35. 35.If 9x + 1 = 37, what is x? (a) 3 (b) 5 (c) 4 (d) 36
  36. 36.If 5x + 11 = 2x + 47, what is x? (a) 14 (b) 11 (c) 13 (d) 12
  37. 37.If 6x + 15 = 39, what is x? (a) 24 (b) 5 (c) 9 (d) 4
  38. 38.If 3x + 19 = 2x + 29, what is x? (a) 2 (b) 11 (c) 10 (d) 48
  39. 39.If 2x + 21 = 45, what is x? (a) 24 (b) 33 (c) 12 (d) 13
  40. 40.If 3x + 13 = x + 27, what is x? (a) 8 (b) 7 (c) 20 (d) 9

Answer key

  1. 45
  2. 30
  3. 15
  4. 11
  5. 60
  6. 7
  7. 7
  8. 11
  9. 5
  10. 2
  11. 25
  12. 6
  13. 66
  14. 8
  15. 12
  16. 14
  17. 9
  18. 9
  19. 3
  20. 13
  21. 1
  22. 12
  23. 40
  24. 7
  25. 2
  26. 48
  27. 12
  28. 55
  29. 4
  30. 8
  31. 6
  32. 30
  33. 10
  34. 3
  35. 4
  36. 12
  37. 4
  38. 10
  39. 12
  40. 7

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