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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 467 · 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 − 96 = 24, what is x? (a) 120 (b) 16 (c) 15 (d) 14
  2. 2.If 8x − 52 = 44, what is x? (a) 96 (b) 12 (c) 11 (d) 13
  3. 3.If 8x + 11 = 83, what is x? (a) 9 (b) 72 (c) 10 (d) 8
  4. 4.If 9x + 6 = 2x + 90, what is x? (a) 13 (b) 14 (c) 11 (d) 12
  5. 5.If 4x − 2 = 10, what is x? (a) 3 (b) 4 (c) 2 (d) 12
  6. 6.If x/4 + 9 = 13, what is x? (a) 88 (b) 16 (c) 43 (d) 4
  7. 7.If 7x + 19 = 117, what is x? (a) 98 (b) 13 (c) 14 (d) 15
  8. 8.If 8x + 28 = 100, what is x? (a) 72 (b) 16 (c) 10 (d) 9
  9. 9.If 4x − 4 = 16, what is x? (a) 3 (b) 6 (c) 20 (d) 5
  10. 10.If 9x − 27 = 18, what is x? (a) 45 (b) 6 (c) 4 (d) 5
  11. 11.If 9x − 56 = 61, what is x? (a) 117 (b) 12 (c) 14 (d) 13
  12. 12.If x/2 + 11 = 20, what is x? (a) 62 (b) 29 (c) 9 (d) 18
  13. 13.If 2x + 21 = 29, what is x? (a) 25 (b) 8 (c) 5 (d) 4
  14. 14.If 6x + 2 = 4x + 26, what is x? (a) 13 (b) 14 (c) 11 (d) 12
  15. 15.If x/3 + 1 = 12, what is x? (a) 35 (b) 39 (c) 33 (d) 11
  16. 16.If 8x + 12 = 2x + 30, what is x? (a) 7 (b) 3 (c) 4 (d) 5
  17. 17.If 7x + 6 = 41, what is x? (a) 5 (b) 6 (c) 4 (d) 35
  18. 18.If 2x + 28 = 56, what is x? (a) 42 (b) 28 (c) 15 (d) 14
  19. 19.If x/2 + 8 = 17, what is x? (a) 9 (b) 50 (c) 26 (d) 18
  20. 20.If 8x + 7 = 7x + 18, what is x? (a) 12 (b) 25 (c) 11 (d) 13
  21. 21.If 7x + 4 = x + 46, what is x? (a) 6 (b) 9 (c) 8 (d) 7
  22. 22.If 7x + 9 = 86, what is x? (a) 11 (b) 77 (c) 12 (d) 10
  23. 23.If 9x − 60 = 21, what is x? (a) 81 (b) 9 (c) 10 (d) 8
  24. 24.If 9x − 7 = 101, what is x? (a) 11 (b) 12 (c) 13 (d) 108
  25. 25.If x/3 + 5 = 13, what is x? (a) 24 (b) 8 (c) 54 (d) 34
  26. 26.If 4x − 4 = 4, what is x? (a) 1 (b) 2 (c) 8 (d) 3
  27. 27.If x/4 + 15 = 17, what is x? (a) 2 (b) 128 (c) 53 (d) 8
  28. 28.If 7x − 6 = 8, what is x? (a) 2 (b) 1 (c) 14 (d) 3
  29. 29.If 2x − 3 = 21, what is x? (a) 13 (b) 9 (c) 24 (d) 12
  30. 30.If 8x + 2 = 4x + 26, what is x? (a) 2 (b) 6 (c) 8 (d) 7
  31. 31.If 6x + 13 = 67, what is x? (a) 10 (b) 8 (c) 9 (d) 54
  32. 32.If 4x + 13 = 2x + 35, what is x? (a) 11 (b) 13 (c) 24 (d) 12
  33. 33.If x/2 + 9 = 11, what is x? (a) 13 (b) 2 (c) 4 (d) 40
  34. 34.If 4x + 18 = 2x + 34, what is x? (a) 26 (b) 9 (c) 10 (d) 8
  35. 35.If x/6 + 8 = 19, what is x? (a) 106 (b) 11 (c) 66 (d) 162
  36. 36.If 2x − 22 = 6, what is x? (a) 13 (b) 28 (c) 15 (d) 14
  37. 37.If 7x + 10 = 3x + 18, what is x? (a) 4 (b) 3 (c) 7 (d) 2
  38. 38.If 6x + 19 = 109, what is x? (a) 90 (b) 15 (c) 14 (d) 16
  39. 39.If 7x + 5 = 82, what is x? (a) 10 (b) 11 (c) 12 (d) 77
  40. 40.If x/5 + 6 = 10, what is x? (a) 44 (b) 20 (c) 4 (d) 80

Answer key

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

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