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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 500 · 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/4 + 9 = 18, what is x? (a) 108 (b) 9 (c) 63 (d) 36
  2. 2.If 6x + 16 = 64, what is x? (a) 7 (b) 9 (c) 8 (d) 48
  3. 3.If 8x − 23 = 73, what is x? (a) 96 (b) 12 (c) 13 (d) 11
  4. 4.If 3x + 2 = 8, what is x? (a) 1 (b) 6 (c) 2 (d) 3
  5. 5.If 9x − 14 = 67, what is x? (a) 10 (b) 8 (c) 81 (d) 9
  6. 6.If x/2 + 4 = 15, what is x? (a) 11 (b) 38 (c) 22 (d) 26
  7. 7.If 3x + 19 = x + 21, what is x? (a) 20 (b) 1 (c) 2 (d) 3
  8. 8.If x/3 + 1 = 9, what is x? (a) 30 (b) 26 (c) 24 (d) 8
  9. 9.If 4x + 13 = 2x + 35, what is x? (a) 12 (b) 11 (c) 24 (d) 13
  10. 10.If 8x − 24 = 8, what is x? (a) 32 (b) 5 (c) 4 (d) 3
  11. 11.If x/6 + 10 = 18, what is x? (a) 168 (b) 48 (c) 98 (d) 8
  12. 12.If x/5 + 7 = 10, what is x? (a) 3 (b) 85 (c) 15 (d) 43
  13. 13.If 4x + 12 = 36, what is x? (a) 12 (b) 24 (c) 7 (d) 6
  14. 14.If 7x + 16 = 44, what is x? (a) 28 (b) 5 (c) 3 (d) 4
  15. 15.If 6x + 6 = 2x + 14, what is x? (a) 5 (b) 3 (c) 2 (d) 1
  16. 16.If 5x + 5 = 4x + 10, what is x? (a) 15 (b) 7 (c) 5 (d) 6
  17. 17.If 9x − 26 = 82, what is x? (a) 13 (b) 12 (c) 108 (d) 11
  18. 18.If 5x + 12 = 2x + 33, what is x? (a) 7 (b) 3 (c) 15 (d) 8
  19. 19.If 7x + 20 = 5x + 42, what is x? (a) 31 (b) 11 (c) 12 (d) 13
  20. 20.If x/4 + 9 = 14, what is x? (a) 92 (b) 47 (c) 20 (d) 5
  21. 21.If x/5 + 11 = 16, what is x? (a) 5 (b) 69 (c) 135 (d) 25
  22. 22.If 4x + 16 = 48, what is x? (a) 16 (b) 9 (c) 8 (d) 32
  23. 23.If x/4 + 5 = 13, what is x? (a) 32 (b) 47 (c) 8 (d) 72
  24. 24.If x/3 + 7 = 16, what is x? (a) 69 (b) 9 (c) 41 (d) 27
  25. 25.If x/4 + 2 = 4, what is x? (a) 14 (b) 8 (c) 2 (d) 24
  26. 26.If 4x − 1 = 59, what is x? (a) 16 (b) 14 (c) 60 (d) 15
  27. 27.If 3x + 6 = x + 12, what is x? (a) 9 (b) 5 (c) 4 (d) 3
  28. 28.If 8x − 67 = 37, what is x? (a) 14 (b) 13 (c) 12 (d) 104
  29. 29.If x/6 + 2 = 9, what is x? (a) 42 (b) 52 (c) 7 (d) 66
  30. 30.If 2x + 8 = 18, what is x? (a) 10 (b) 5 (c) 13 (d) 6
  31. 31.If x/2 + 11 = 17, what is x? (a) 23 (b) 6 (c) 56 (d) 12
  32. 32.If 2x + 7 = 33, what is x? (a) 13 (b) 26 (c) 20 (d) 14
  33. 33.If 4x + 11 = x + 14, what is x? (a) 3 (b) 2 (c) 1 (d) 4
  34. 34.If 2x + 8 = 36, what is x? (a) 22 (b) 15 (c) 28 (d) 14
  35. 35.If 4x + 3 = 3x + 15, what is x? (a) 18 (b) 13 (c) 14 (d) 12
  36. 36.If 3x + 15 = x + 23, what is x? (a) 19 (b) 5 (c) 4 (d) 2
  37. 37.If 2x + 29 = 43, what is x? (a) 14 (b) 7 (c) 8 (d) 36
  38. 38.If 5x + 24 = 44, what is x? (a) 4 (b) 20 (c) 3 (d) 5
  39. 39.If 5x + 4 = 4x + 13, what is x? (a) 17 (b) 10 (c) 1 (d) 9
  40. 40.If 4x + 15 = 2x + 39, what is x? (a) 4 (b) 13 (c) 27 (d) 12

Answer key

  1. 36
  2. 8
  3. 12
  4. 2
  5. 9
  6. 22
  7. 1
  8. 24
  9. 11
  10. 4
  11. 48
  12. 15
  13. 6
  14. 4
  15. 2
  16. 5
  17. 12
  18. 7
  19. 11
  20. 20
  21. 25
  22. 8
  23. 32
  24. 27
  25. 8
  26. 15
  27. 3
  28. 13
  29. 42
  30. 5
  31. 12
  32. 13
  33. 1
  34. 14
  35. 12
  36. 4
  37. 7
  38. 4
  39. 9
  40. 12

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