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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 296 · 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 8x − 75 = 29, what is x? (a) 14 (b) 104 (c) 12 (d) 13
  2. 2.If 7x + 18 = 5x + 38, what is x? (a) 28 (b) 10 (c) 11 (d) 12
  3. 3.If x/6 + 8 = 11, what is x? (a) 114 (b) 18 (c) 3 (d) 58
  4. 4.If 7x − 58 = 19, what is x? (a) 11 (b) 10 (c) 12 (d) 77
  5. 5.If 8x − 89 = 7, what is x? (a) 13 (b) 12 (c) 11 (d) 96
  6. 6.If 9x + 27 = 63, what is x? (a) 10 (b) 36 (c) 5 (d) 4
  7. 7.If 3x − 14 = 31, what is x? (a) 45 (b) 16 (c) 14 (d) 15
  8. 8.If 7x + 13 = 83, what is x? (a) 70 (b) 9 (c) 10 (d) 11
  9. 9.If x/4 + 6 = 12, what is x? (a) 24 (b) 6 (c) 72 (d) 42
  10. 10.If 7x − 36 = 20, what is x? (a) 56 (b) 8 (c) 7 (d) 9
  11. 11.If 8x − 32 = 8, what is x? (a) 4 (b) 40 (c) 6 (d) 5
  12. 12.If 6x + 3 = 57, what is x? (a) 10 (b) 8 (c) 9 (d) 54
  13. 13.If 8x + 7 = x + 56, what is x? (a) 7 (b) 9 (c) 8 (d) 6
  14. 14.If 4x + 19 = 51, what is x? (a) 9 (b) 7 (c) 8 (d) 32
  15. 15.If 3x + 18 = x + 42, what is x? (a) 6 (b) 12 (c) 13 (d) 30
  16. 16.If 6x − 10 = 56, what is x? (a) 11 (b) 10 (c) 66 (d) 12
  17. 17.If 5x + 16 = 31, what is x? (a) 15 (b) 3 (c) 2 (d) 4
  18. 18.If x/5 + 1 = 3, what is x? (a) 14 (b) 20 (c) 10 (d) 2
  19. 19.If x/3 + 6 = 9, what is x? (a) 21 (b) 3 (c) 9 (d) 45
  20. 20.If 2x − 3 = 1, what is x? (a) 4 (b) 1 (c) 2 (d) 3
  21. 21.If x/4 + 3 = 9, what is x? (a) 6 (b) 48 (c) 33 (d) 24
  22. 22.If 7x − 51 = 33, what is x? (a) 11 (b) 84 (c) 12 (d) 13
  23. 23.If x/2 + 1 = 6, what is x? (a) 14 (b) 11 (c) 5 (d) 10
  24. 24.If 6x − 5 = 49, what is x? (a) 8 (b) 54 (c) 10 (d) 9
  25. 25.If x/6 + 10 = 19, what is x? (a) 104 (b) 174 (c) 9 (d) 54
  26. 26.If 9x − 25 = 92, what is x? (a) 117 (b) 14 (c) 12 (d) 13
  27. 27.If 3x + 29 = 38, what is x? (a) 9 (b) 2 (c) 3 (d) 4
  28. 28.If 2x + 21 = 31, what is x? (a) 6 (b) 5 (c) 10 (d) 26
  29. 29.If 7x + 14 = 63, what is x? (a) 8 (b) 11 (c) 49 (d) 7
  30. 30.If 3x − 11 = 4, what is x? (a) 4 (b) 6 (c) 15 (d) 5
  31. 31.If 8x + 24 = 96, what is x? (a) 15 (b) 72 (c) 10 (d) 9
  32. 32.If x/3 + 5 = 12, what is x? (a) 7 (b) 51 (c) 31 (d) 21
  33. 33.If 2x + 13 = 27, what is x? (a) 14 (b) 8 (c) 7 (d) 20
  34. 34.If 5x + 5 = 40, what is x? (a) 35 (b) 9 (c) 7 (d) 8
  35. 35.If 3x − 35 = 4, what is x? (a) 12 (b) 39 (c) 14 (d) 13
  36. 36.If x/6 + 13 = 17, what is x? (a) 24 (b) 180 (c) 89 (d) 4
  37. 37.If 5x + 11 = x + 39, what is x? (a) 6 (b) 8 (c) 7 (d) 9
  38. 38.If 9x − 4 = 23, what is x? (a) 2 (b) 27 (c) 4 (d) 3
  39. 39.If x/2 + 4 = 15, what is x? (a) 38 (b) 11 (c) 22 (d) 26
  40. 40.If 4x + 11 = 3x + 18, what is x? (a) 29 (b) 1 (c) 8 (d) 7

Answer key

  1. 13
  2. 10
  3. 18
  4. 11
  5. 12
  6. 4
  7. 15
  8. 10
  9. 24
  10. 8
  11. 5
  12. 9
  13. 7
  14. 8
  15. 12
  16. 11
  17. 3
  18. 10
  19. 9
  20. 2
  21. 24
  22. 12
  23. 10
  24. 9
  25. 54
  26. 13
  27. 3
  28. 5
  29. 7
  30. 5
  31. 9
  32. 21
  33. 7
  34. 7
  35. 13
  36. 24
  37. 7
  38. 3
  39. 22
  40. 7

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