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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 572 · 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 7x + 16 = 5x + 28, what is x? (a) 22 (b) 7 (c) 6 (d) 1
  2. 2.If 3x + 15 = x + 19, what is x? (a) 2 (b) 17 (c) 3 (d) 1
  3. 3.If 2x − 7 = 15, what is x? (a) 11 (b) 12 (c) 4 (d) 22
  4. 4.If 3x + 11 = 50, what is x? (a) 12 (b) 39 (c) 13 (d) 14
  5. 5.If 3x + 16 = 2x + 28, what is x? (a) 44 (b) 12 (c) 14 (d) 13
  6. 6.If 4x + 9 = 25, what is x? (a) 5 (b) 3 (c) 16 (d) 4
  7. 7.If 6x + 11 = 2x + 43, what is x? (a) 8 (b) 10 (c) 9 (d) 4
  8. 8.If 6x − 51 = 33, what is x? (a) 84 (b) 13 (c) 14 (d) 15
  9. 9.If 7x + 8 = 6x + 15, what is x? (a) 9 (b) 23 (c) 7 (d) 8
  10. 10.If 5x + 20 = 90, what is x? (a) 70 (b) 15 (c) 22 (d) 14
  11. 11.If x/5 + 8 = 20, what is x? (a) 60 (b) 140 (c) 12 (d) 92
  12. 12.If 8x + 5 = 7x + 6, what is x? (a) 2 (b) 11 (c) 1 (d) 3
  13. 13.If 4x + 3 = 3x + 14, what is x? (a) 13 (b) 12 (c) 17 (d) 11
  14. 14.If 9x + 6 = 87, what is x? (a) 8 (b) 10 (c) 81 (d) 9
  15. 15.If 2x − 2 = 4, what is x? (a) 1 (b) 6 (c) 4 (d) 3
  16. 16.If x/3 + 13 = 16, what is x? (a) 3 (b) 87 (c) 35 (d) 9
  17. 17.If 4x − 22 = 26, what is x? (a) 12 (b) 13 (c) 48 (d) 1
  18. 18.If 6x + 9 = x + 54, what is x? (a) 9 (b) 8 (c) 11 (d) 10
  19. 19.If 7x + 5 = 6x + 6, what is x? (a) 11 (b) 3 (c) 2 (d) 1
  20. 20.If 4x + 12 = 48, what is x? (a) 10 (b) 9 (c) 15 (d) 36
  21. 21.If 8x + 3 = 2x + 33, what is x? (a) 3 (b) 6 (c) 7 (d) 5
  22. 22.If 9x + 28 = 163, what is x? (a) 14 (b) 16 (c) 135 (d) 15
  23. 23.If 8x + 19 = 67, what is x? (a) 6 (b) 5 (c) 7 (d) 48
  24. 24.If x/4 + 4 = 15, what is x? (a) 56 (b) 11 (c) 44 (d) 76
  25. 25.If 6x − 21 = 15, what is x? (a) 5 (b) 6 (c) 36 (d) 7
  26. 26.If x/3 + 10 = 22, what is x? (a) 36 (b) 96 (c) 56 (d) 12
  27. 27.If 5x + 7 = x + 15, what is x? (a) 2 (b) 1 (c) 3 (d) 4
  28. 28.If 3x + 15 = 2x + 26, what is x? (a) 11 (b) 13 (c) 12 (d) 41
  29. 29.If 2x − 3 = 5, what is x? (a) 8 (b) 5 (c) 4 (d) 1
  30. 30.If x/3 + 15 = 22, what is x? (a) 21 (b) 51 (c) 7 (d) 111
  31. 31.If 9x + 6 = 105, what is x? (a) 11 (b) 12 (c) 10 (d) 99
  32. 32.If 7x + 6 = 90, what is x? (a) 84 (b) 11 (c) 13 (d) 12
  33. 33.If x/4 + 4 = 7, what is x? (a) 3 (b) 24 (c) 44 (d) 12
  34. 34.If x/3 + 13 = 18, what is x? (a) 93 (b) 15 (c) 41 (d) 5
  35. 35.If 9x + 13 = 4x + 53, what is x? (a) 10 (b) 7 (c) 9 (d) 8
  36. 36.If 8x + 17 = 5x + 20, what is x? (a) 2 (b) 4 (c) 1 (d) 3
  37. 37.If 4x + 4 = 64, what is x? (a) 60 (b) 17 (c) 16 (d) 15
  38. 38.If x/4 + 8 = 18, what is x? (a) 64 (b) 10 (c) 104 (d) 40
  39. 39.If 7x + 21 = 35, what is x? (a) 14 (b) 8 (c) 3 (d) 2
  40. 40.If x/4 + 5 = 14, what is x? (a) 9 (b) 76 (c) 51 (d) 36

Answer key

  1. 6
  2. 2
  3. 11
  4. 13
  5. 12
  6. 4
  7. 8
  8. 14
  9. 7
  10. 14
  11. 60
  12. 1
  13. 11
  14. 9
  15. 3
  16. 9
  17. 12
  18. 9
  19. 1
  20. 9
  21. 5
  22. 15
  23. 6
  24. 44
  25. 6
  26. 36
  27. 2
  28. 11
  29. 4
  30. 21
  31. 11
  32. 12
  33. 12
  34. 15
  35. 8
  36. 1
  37. 15
  38. 40
  39. 2
  40. 36

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