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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 251 · 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 = 15, what is x? (a) 130 (b) 64 (c) 4 (d) 20
  2. 2.If 9x + 12 = 7x + 26, what is x? (a) 7 (b) 19 (c) 9 (d) 8
  3. 3.If 9x + 8 = 4x + 63, what is x? (a) 12 (b) 11 (c) 13 (d) 10
  4. 4.If 5x + 14 = 69, what is x? (a) 12 (b) 10 (c) 11 (d) 55
  5. 5.If 4x − 8 = 12, what is x? (a) 1 (b) 20 (c) 5 (d) 6
  6. 6.If 3x − 22 = 14, what is x? (a) 13 (b) 11 (c) 12 (d) 36
  7. 7.If 3x + 17 = 2x + 25, what is x? (a) 42 (b) 10 (c) 9 (d) 8
  8. 8.If 9x + 13 = 8x + 18, what is x? (a) 31 (b) 5 (c) 6 (d) 7
  9. 9.If 2x + 6 = 36, what is x? (a) 16 (b) 21 (c) 15 (d) 30
  10. 10.If x/5 + 15 = 25, what is x? (a) 200 (b) 10 (c) 50 (d) 110
  11. 11.If x/5 + 8 = 13, what is x? (a) 5 (b) 57 (c) 25 (d) 105
  12. 12.If 5x − 59 = 11, what is x? (a) 70 (b) 13 (c) 15 (d) 14
  13. 13.If 4x − 31 = 21, what is x? (a) 14 (b) 52 (c) 13 (d) 12
  14. 14.If 5x + 5 = 50, what is x? (a) 11 (b) 10 (c) 9 (d) 45
  15. 15.If 5x + 14 = 59, what is x? (a) 8 (b) 10 (c) 9 (d) 45
  16. 16.If x/5 + 10 = 20, what is x? (a) 10 (b) 150 (c) 90 (d) 50
  17. 17.If x/5 + 9 = 15, what is x? (a) 120 (b) 6 (c) 30 (d) 66
  18. 18.If 7x + 10 = x + 64, what is x? (a) 11 (b) 9 (c) 10 (d) 8
  19. 19.If 8x − 9 = 23, what is x? (a) 4 (b) 32 (c) 5 (d) 3
  20. 20.If x/4 + 7 = 19, what is x? (a) 104 (b) 69 (c) 48 (d) 12
  21. 21.If 3x − 5 = 22, what is x? (a) 8 (b) 9 (c) 10 (d) 27
  22. 22.If x/2 + 14 = 23, what is x? (a) 74 (b) 18 (c) 32 (d) 9
  23. 23.If 5x + 2 = 67, what is x? (a) 12 (b) 14 (c) 13 (d) 65
  24. 24.If 7x + 13 = 34, what is x? (a) 21 (b) 3 (c) 2 (d) 4
  25. 25.If 6x + 26 = 62, what is x? (a) 36 (b) 7 (c) 6 (d) 5
  26. 26.If x/6 + 11 = 15, what is x? (a) 156 (b) 79 (c) 4 (d) 24
  27. 27.If 9x + 11 = 146, what is x? (a) 14 (b) 135 (c) 16 (d) 15
  28. 28.If 3x + 9 = x + 29, what is x? (a) 10 (b) 19 (c) 11 (d) 5
  29. 29.If 6x + 9 = 93, what is x? (a) 14 (b) 84 (c) 17 (d) 15
  30. 30.If 4x + 17 = 3x + 28, what is x? (a) 13 (b) 12 (c) 11 (d) 45
  31. 31.If 7x + 13 = 111, what is x? (a) 14 (b) 13 (c) 98 (d) 15
  32. 32.If 9x − 1 = 44, what is x? (a) 5 (b) 45 (c) 6 (d) 4
  33. 33.If 5x − 11 = 64, what is x? (a) 16 (b) 15 (c) 75 (d) 14
  34. 34.If 5x − 4 = 26, what is x? (a) 5 (b) 6 (c) 7 (d) 30
  35. 35.If 4x − 30 = 2, what is x? (a) 9 (b) 32 (c) 8 (d) 7
  36. 36.If 7x + 9 = 2x + 34, what is x? (a) 7 (b) 4 (c) 5 (d) 6
  37. 37.If 2x − 12 = 18, what is x? (a) 30 (b) 15 (c) 3 (d) 16
  38. 38.If x/5 + 14 = 20, what is x? (a) 86 (b) 30 (c) 170 (d) 6
  39. 39.If x/6 + 12 = 17, what is x? (a) 30 (b) 174 (c) 5 (d) 90
  40. 40.If x/4 + 9 = 11, what is x? (a) 35 (b) 2 (c) 80 (d) 8

Answer key

  1. 20
  2. 7
  3. 11
  4. 11
  5. 5
  6. 12
  7. 8
  8. 5
  9. 15
  10. 50
  11. 25
  12. 14
  13. 13
  14. 9
  15. 9
  16. 50
  17. 30
  18. 9
  19. 4
  20. 48
  21. 9
  22. 18
  23. 13
  24. 3
  25. 6
  26. 24
  27. 15
  28. 10
  29. 14
  30. 11
  31. 14
  32. 5
  33. 15
  34. 6
  35. 8
  36. 5
  37. 15
  38. 30
  39. 30
  40. 8

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