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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 573 · 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 + 5 = 2x + 47, what is x? (a) 7 (b) 9 (c) 6 (d) 8
  2. 2.If 5x + 15 = 70, what is x? (a) 11 (b) 55 (c) 12 (d) 17
  3. 3.If 7x + 7 = 2x + 27, what is x? (a) 4 (b) 5 (c) 6 (d) 3
  4. 4.If x/4 + 5 = 9, what is x? (a) 4 (b) 31 (c) 56 (d) 16
  5. 5.If 6x + 12 = x + 27, what is x? (a) 5 (b) 4 (c) 2 (d) 3
  6. 6.If 8x + 12 = 76, what is x? (a) 8 (b) 11 (c) 64 (d) 9
  7. 7.If 4x − 4 = 8, what is x? (a) 1 (b) 3 (c) 12 (d) 4
  8. 8.If x/3 + 4 = 9, what is x? (a) 23 (b) 15 (c) 39 (d) 5
  9. 9.If 5x − 43 = 32, what is x? (a) 15 (b) 14 (c) 16 (d) 75
  10. 10.If 7x + 4 = 39, what is x? (a) 5 (b) 6 (c) 4 (d) 35
  11. 11.If 2x + 1 = 13, what is x? (a) 12 (b) 7 (c) 6 (d) 5
  12. 12.If 3x + 2 = 8, what is x? (a) 3 (b) 2 (c) 1 (d) 6
  13. 13.If x/2 + 10 = 21, what is x? (a) 32 (b) 22 (c) 62 (d) 11
  14. 14.If 5x − 43 = 2, what is x? (a) 45 (b) 8 (c) 9 (d) 10
  15. 15.If 2x − 7 = 5, what is x? (a) 5 (b) 6 (c) 12 (d) 7
  16. 16.If x/6 + 10 = 19, what is x? (a) 54 (b) 9 (c) 104 (d) 174
  17. 17.If 8x + 23 = 63, what is x? (a) 5 (b) 4 (c) 6 (d) 40
  18. 18.If 7x + 15 = 29, what is x? (a) 2 (b) 14 (c) 3 (d) 1
  19. 19.If 5x − 41 = 29, what is x? (a) 70 (b) 14 (c) 15 (d) 13
  20. 20.If 4x + 7 = x + 13, what is x? (a) 1 (b) 4 (c) 2 (d) 3
  21. 21.If 7x − 8 = 41, what is x? (a) 49 (b) 6 (c) 7 (d) 8
  22. 22.If 4x + 16 = 3x + 23, what is x? (a) 8 (b) 39 (c) 7 (d) 1
  23. 23.If 2x − 6 = 4, what is x? (a) 4 (b) 5 (c) 6 (d) 10
  24. 24.If 9x + 8 = 125, what is x? (a) 117 (b) 12 (c) 14 (d) 13
  25. 25.If 4x + 10 = 3x + 18, what is x? (a) 10 (b) 8 (c) 28 (d) 9
  26. 26.If 4x + 1 = 2x + 15, what is x? (a) 6 (b) 9 (c) 8 (d) 7
  27. 27.If 5x − 21 = 9, what is x? (a) 5 (b) 30 (c) 6 (d) 7
  28. 28.If 9x + 7 = 2x + 63, what is x? (a) 8 (b) 10 (c) 7 (d) 9
  29. 29.If x/5 + 8 = 12, what is x? (a) 4 (b) 20 (c) 100 (d) 52
  30. 30.If 8x + 1 = 113, what is x? (a) 112 (b) 13 (c) 15 (d) 14
  31. 31.If 5x − 46 = 19, what is x? (a) 13 (b) 14 (c) 12 (d) 65
  32. 32.If 3x − 2 = 34, what is x? (a) 13 (b) 36 (c) 12 (d) 11
  33. 33.If 7x + 7 = 84, what is x? (a) 11 (b) 12 (c) 13 (d) 77
  34. 34.If 7x + 24 = 45, what is x? (a) 3 (b) 21 (c) 4 (d) 2
  35. 35.If 3x + 11 = 2x + 13, what is x? (a) 4 (b) 3 (c) 2 (d) 24
  36. 36.If 7x + 9 = 6x + 10, what is x? (a) 1 (b) 2 (c) 3 (d) 19
  37. 37.If x/6 + 8 = 14, what is x? (a) 76 (b) 132 (c) 36 (d) 6
  38. 38.If 9x + 26 = 152, what is x? (a) 13 (b) 126 (c) 14 (d) 15
  39. 39.If x/4 + 15 = 17, what is x? (a) 128 (b) 2 (c) 8 (d) 53
  40. 40.If x/2 + 13 = 24, what is x? (a) 74 (b) 11 (c) 22 (d) 35

Answer key

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

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