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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 383 · 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 3x + 9 = 2x + 18, what is x? (a) 11 (b) 27 (c) 10 (d) 9
  2. 2.If 2x + 23 = 51, what is x? (a) 37 (b) 28 (c) 15 (d) 14
  3. 3.If 2x − 2 = 4, what is x? (a) 1 (b) 6 (c) 4 (d) 3
  4. 4.If 3x + 17 = 47, what is x? (a) 11 (b) 10 (c) 30 (d) 9
  5. 5.If 4x + 12 = 2x + 32, what is x? (a) 12 (b) 11 (c) 22 (d) 10
  6. 6.If 7x + 11 = 5x + 21, what is x? (a) 16 (b) 5 (c) 7 (d) 6
  7. 7.If 7x + 15 = 3x + 35, what is x? (a) 5 (b) 2 (c) 6 (d) 7
  8. 8.If 4x + 5 = x + 32, what is x? (a) 10 (b) 11 (c) 8 (d) 9
  9. 9.If x/6 + 4 = 12, what is x? (a) 96 (b) 48 (c) 68 (d) 8
  10. 10.If x/3 + 13 = 22, what is x? (a) 27 (b) 105 (c) 9 (d) 53
  11. 11.If 4x + 5 = x + 35, what is x? (a) 6 (b) 12 (c) 10 (d) 11
  12. 12.If 8x + 10 = 58, what is x? (a) 7 (b) 48 (c) 6 (d) 5
  13. 13.If 2x + 17 = 25, what is x? (a) 5 (b) 8 (c) 4 (d) 21
  14. 14.If x/4 + 4 = 11, what is x? (a) 60 (b) 40 (c) 28 (d) 7
  15. 15.If 7x + 3 = 2x + 18, what is x? (a) 3 (b) 2 (c) 4 (d) 5
  16. 16.If 3x − 3 = 24, what is x? (a) 9 (b) 10 (c) 27 (d) 7
  17. 17.If 3x + 21 = 33, what is x? (a) 18 (b) 12 (c) 5 (d) 4
  18. 18.If 8x + 12 = 76, what is x? (a) 64 (b) 11 (c) 8 (d) 9
  19. 19.If 5x − 15 = 15, what is x? (a) 6 (b) 5 (c) 7 (d) 30
  20. 20.If x/6 + 4 = 9, what is x? (a) 5 (b) 78 (c) 50 (d) 30
  21. 21.If 3x − 6 = 39, what is x? (a) 15 (b) 16 (c) 11 (d) 45
  22. 22.If x/6 + 9 = 11, what is x? (a) 57 (b) 12 (c) 120 (d) 2
  23. 23.If 7x + 6 = 20, what is x? (a) 2 (b) 14 (c) 1 (d) 3
  24. 24.If 2x − 8 = 2, what is x? (a) 10 (b) 6 (c) 5 (d) 4
  25. 25.If x/6 + 10 = 17, what is x? (a) 92 (b) 42 (c) 7 (d) 162
  26. 26.If x/5 + 14 = 20, what is x? (a) 170 (b) 86 (c) 30 (d) 6
  27. 27.If 6x + 23 = 77, what is x? (a) 10 (b) 8 (c) 9 (d) 54
  28. 28.If 6x + 14 = 32, what is x? (a) 3 (b) 2 (c) 4 (d) 18
  29. 29.If 5x + 17 = 57, what is x? (a) 7 (b) 8 (c) 40 (d) 9
  30. 30.If x/6 + 13 = 23, what is x? (a) 125 (b) 10 (c) 216 (d) 60
  31. 31.If 9x + 22 = 76, what is x? (a) 7 (b) 5 (c) 54 (d) 6
  32. 32.If 2x − 5 = 3, what is x? (a) 8 (b) 5 (c) 3 (d) 4
  33. 33.If 4x + 19 = 59, what is x? (a) 9 (b) 10 (c) 11 (d) 40
  34. 34.If 8x − 47 = 57, what is x? (a) 14 (b) 12 (c) 104 (d) 13
  35. 35.If 9x + 15 = 8x + 17, what is x? (a) 2 (b) 4 (c) 32 (d) 3
  36. 36.If 7x + 16 = 86, what is x? (a) 9 (b) 11 (c) 70 (d) 10
  37. 37.If 3x + 6 = 45, what is x? (a) 13 (b) 39 (c) 14 (d) 17
  38. 38.If 6x + 17 = 35, what is x? (a) 4 (b) 2 (c) 18 (d) 3
  39. 39.If x/2 + 4 = 14, what is x? (a) 20 (b) 24 (c) 10 (d) 36
  40. 40.If 9x + 27 = 117, what is x? (a) 16 (b) 11 (c) 10 (d) 90

Answer key

  1. 9
  2. 14
  3. 3
  4. 10
  5. 10
  6. 5
  7. 5
  8. 9
  9. 48
  10. 27
  11. 10
  12. 6
  13. 4
  14. 28
  15. 3
  16. 9
  17. 4
  18. 8
  19. 6
  20. 30
  21. 15
  22. 12
  23. 2
  24. 5
  25. 42
  26. 30
  27. 9
  28. 3
  29. 8
  30. 60
  31. 6
  32. 4
  33. 10
  34. 13
  35. 2
  36. 10
  37. 13
  38. 3
  39. 20
  40. 10

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