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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 195 · 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/2 + 15 = 19, what is x? (a) 23 (b) 68 (c) 4 (d) 8
  2. 2.If x/4 + 2 = 11, what is x? (a) 9 (b) 42 (c) 36 (d) 52
  3. 3.If x/6 + 1 = 13, what is x? (a) 12 (b) 77 (c) 72 (d) 84
  4. 4.If 9x + 9 = 6x + 12, what is x? (a) 3 (b) 7 (c) 2 (d) 1
  5. 5.If 6x + 8 = 92, what is x? (a) 84 (b) 13 (c) 15 (d) 14
  6. 6.If 6x + 19 = 4x + 43, what is x? (a) 13 (b) 12 (c) 31 (d) 14
  7. 7.If 7x + 28 = 119, what is x? (a) 91 (b) 13 (c) 21 (d) 14
  8. 8.If 3x + 8 = 17, what is x? (a) 2 (b) 3 (c) 4 (d) 9
  9. 9.If 2x + 15 = 39, what is x? (a) 24 (b) 27 (c) 13 (d) 12
  10. 10.If x/4 + 12 = 22, what is x? (a) 40 (b) 136 (c) 76 (d) 10
  11. 11.If 5x − 53 = 22, what is x? (a) 75 (b) 15 (c) 14 (d) 16
  12. 12.If 3x + 6 = 39, what is x? (a) 12 (b) 11 (c) 15 (d) 33
  13. 13.If x/5 + 1 = 6, what is x? (a) 25 (b) 5 (c) 29 (d) 35
  14. 14.If 7x + 20 = 3x + 68, what is x? (a) 13 (b) 14 (c) 12 (d) 22
  15. 15.If 4x − 1 = 23, what is x? (a) 5 (b) 24 (c) 6 (d) 7
  16. 16.If 7x − 31 = 60, what is x? (a) 13 (b) 12 (c) 14 (d) 91
  17. 17.If 6x + 17 = 2x + 49, what is x? (a) 10 (b) 9 (c) 8 (d) 4
  18. 18.If 4x + 26 = 66, what is x? (a) 11 (b) 40 (c) 10 (d) 23
  19. 19.If 9x + 22 = 139, what is x? (a) 117 (b) 12 (c) 14 (d) 13
  20. 20.If x/3 + 12 = 18, what is x? (a) 42 (b) 90 (c) 6 (d) 18
  21. 21.If 6x − 8 = 64, what is x? (a) 11 (b) 12 (c) 13 (d) 72
  22. 22.If 4x − 10 = 2, what is x? (a) 4 (b) 12 (c) 2 (d) 3
  23. 23.If 6x + 30 = 120, what is x? (a) 90 (b) 25 (c) 16 (d) 15
  24. 24.If 8x + 8 = 5x + 35, what is x? (a) 8 (b) 9 (c) 10 (d) 11
  25. 25.If 8x + 19 = 123, what is x? (a) 14 (b) 104 (c) 13 (d) 12
  26. 26.If 4x + 1 = 2x + 15, what is x? (a) 8 (b) 9 (c) 6 (d) 7
  27. 27.If 9x − 27 = 72, what is x? (a) 99 (b) 5 (c) 12 (d) 11
  28. 28.If 7x + 6 = 6x + 14, what is x? (a) 20 (b) 9 (c) 10 (d) 8
  29. 29.If x/3 + 4 = 8, what is x? (a) 4 (b) 36 (c) 20 (d) 12
  30. 30.If 6x + 18 = 2x + 58, what is x? (a) 19 (b) 11 (c) 10 (d) 5
  31. 31.If x/3 + 10 = 20, what is x? (a) 90 (b) 10 (c) 50 (d) 30
  32. 32.If 6x − 26 = 34, what is x? (a) 60 (b) 9 (c) 10 (d) 11
  33. 33.If 7x + 24 = 87, what is x? (a) 8 (b) 10 (c) 9 (d) 63
  34. 34.If 3x + 1 = 2x + 13, what is x? (a) 11 (b) 12 (c) 13 (d) 14
  35. 35.If 8x + 5 = 109, what is x? (a) 12 (b) 104 (c) 14 (d) 13
  36. 36.If 4x + 11 = 27, what is x? (a) 3 (b) 16 (c) 5 (d) 4
  37. 37.If x/4 + 6 = 9, what is x? (a) 30 (b) 3 (c) 12 (d) 60
  38. 38.If 2x − 3 = 7, what is x? (a) 6 (b) 10 (c) 5 (d) 2
  39. 39.If x/2 + 8 = 20, what is x? (a) 24 (b) 12 (c) 32 (d) 56
  40. 40.If 8x − 51 = 5, what is x? (a) 56 (b) 8 (c) 6 (d) 7

Answer key

  1. 8
  2. 36
  3. 72
  4. 1
  5. 14
  6. 12
  7. 13
  8. 3
  9. 12
  10. 40
  11. 15
  12. 11
  13. 25
  14. 12
  15. 6
  16. 13
  17. 8
  18. 10
  19. 13
  20. 18
  21. 12
  22. 3
  23. 15
  24. 9
  25. 13
  26. 7
  27. 11
  28. 8
  29. 12
  30. 10
  31. 30
  32. 10
  33. 9
  34. 12
  35. 13
  36. 4
  37. 12
  38. 5
  39. 24
  40. 7

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