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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 90 · 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 2x − 2 = 18, what is x? (a) 10 (b) 20 (c) 11 (d) 8
  2. 2.If x/6 + 2 = 11, what is x? (a) 78 (b) 54 (c) 9 (d) 64
  3. 3.If 2x + 25 = 29, what is x? (a) 4 (b) 27 (c) 3 (d) 2
  4. 4.If 4x + 24 = 84, what is x? (a) 16 (b) 27 (c) 15 (d) 60
  5. 5.If x/5 + 13 = 16, what is x? (a) 3 (b) 67 (c) 145 (d) 15
  6. 6.If 7x − 8 = 97, what is x? (a) 14 (b) 16 (c) 105 (d) 15
  7. 7.If 4x − 6 = 42, what is x? (a) 12 (b) 9 (c) 48 (d) 13
  8. 8.If 8x − 79 = 25, what is x? (a) 13 (b) 12 (c) 14 (d) 104
  9. 9.If 7x + 2 = 3x + 38, what is x? (a) 8 (b) 10 (c) 11 (d) 9
  10. 10.If 9x + 12 = 2x + 40, what is x? (a) 6 (b) 4 (c) 3 (d) 5
  11. 11.If 6x + 8 = 26, what is x? (a) 18 (b) 4 (c) 2 (d) 3
  12. 12.If 2x + 13 = 23, what is x? (a) 5 (b) 10 (c) 18 (d) 6
  13. 13.If 7x − 16 = 5, what is x? (a) 2 (b) 3 (c) 21 (d) 4
  14. 14.If 9x + 3 = 2x + 73, what is x? (a) 10 (b) 11 (c) 12 (d) 9
  15. 15.If 2x + 6 = 24, what is x? (a) 15 (b) 9 (c) 10 (d) 18
  16. 16.If x/3 + 7 = 13, what is x? (a) 6 (b) 60 (c) 32 (d) 18
  17. 17.If 8x − 69 = 51, what is x? (a) 120 (b) 16 (c) 15 (d) 14
  18. 18.If x/6 + 12 = 21, what is x? (a) 54 (b) 114 (c) 9 (d) 198
  19. 19.If 6x + 21 = 105, what is x? (a) 14 (b) 15 (c) 21 (d) 84
  20. 20.If 4x − 6 = 18, what is x? (a) 6 (b) 24 (c) 3 (d) 7
  21. 21.If 4x + 18 = x + 51, what is x? (a) 11 (b) 12 (c) 23 (d) 13
  22. 22.If 6x + 23 = 107, what is x? (a) 15 (b) 84 (c) 13 (d) 14
  23. 23.If 6x − 9 = 3, what is x? (a) 2 (b) 12 (c) 3 (d) 1
  24. 24.If 3x + 18 = x + 34, what is x? (a) 9 (b) 4 (c) 8 (d) 26
  25. 25.If 2x + 29 = 47, what is x? (a) 38 (b) 18 (c) 10 (d) 9
  26. 26.If 8x − 87 = 33, what is x? (a) 15 (b) 14 (c) 16 (d) 120
  27. 27.If 4x + 19 = 2x + 33, what is x? (a) 7 (b) 8 (c) 9 (d) 26
  28. 28.If x/5 + 8 = 17, what is x? (a) 45 (b) 9 (c) 125 (d) 77
  29. 29.If x/4 + 1 = 13, what is x? (a) 48 (b) 56 (c) 12 (d) 51
  30. 30.If 9x + 17 = 152, what is x? (a) 16 (b) 15 (c) 135 (d) 14
  31. 31.If 4x + 20 = x + 26, what is x? (a) 2 (b) 3 (c) 1 (d) 4
  32. 32.If 3x + 18 = 24, what is x? (a) 6 (b) 14 (c) 3 (d) 2
  33. 33.If 4x + 3 = 2x + 23, what is x? (a) 10 (b) 13 (c) 12 (d) 11
  34. 34.If 3x − 4 = 2, what is x? (a) 3 (b) 6 (c) 1 (d) 2
  35. 35.If 3x + 5 = 47, what is x? (a) 42 (b) 15 (c) 14 (d) 13
  36. 36.If x/2 + 5 = 10, what is x? (a) 10 (b) 30 (c) 5 (d) 15
  37. 37.If 5x − 5 = 5, what is x? (a) 10 (b) 2 (c) 3 (d) 1
  38. 38.If 7x + 4 = 53, what is x? (a) 49 (b) 6 (c) 8 (d) 7
  39. 39.If x/4 + 10 = 22, what is x? (a) 78 (b) 48 (c) 128 (d) 12
  40. 40.If 4x + 12 = 20, what is x? (a) 3 (b) 1 (c) 8 (d) 2

Answer key

  1. 10
  2. 54
  3. 2
  4. 15
  5. 15
  6. 15
  7. 12
  8. 13
  9. 9
  10. 4
  11. 3
  12. 5
  13. 3
  14. 10
  15. 9
  16. 18
  17. 15
  18. 54
  19. 14
  20. 6
  21. 11
  22. 14
  23. 2
  24. 8
  25. 9
  26. 15
  27. 7
  28. 45
  29. 48
  30. 15
  31. 2
  32. 2
  33. 10
  34. 2
  35. 14
  36. 10
  37. 2
  38. 7
  39. 48
  40. 2

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