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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 94 · 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 − 7 = 63, what is x? (a) 11 (b) 10 (c) 70 (d) 8
  2. 2.If 3x + 2 = x + 6, what is x? (a) 1 (b) 3 (c) 4 (d) 2
  3. 3.If 3x + 15 = 2x + 23, what is x? (a) 38 (b) 9 (c) 8 (d) 10
  4. 4.If 8x − 42 = 22, what is x? (a) 9 (b) 64 (c) 7 (d) 8
  5. 5.If x/2 + 14 = 21, what is x? (a) 7 (b) 70 (c) 14 (d) 28
  6. 6.If 3x + 4 = 31, what is x? (a) 10 (b) 27 (c) 8 (d) 9
  7. 7.If 6x + 5 = 17, what is x? (a) 1 (b) 2 (c) 3 (d) 12
  8. 8.If 9x + 3 = 6x + 6, what is x? (a) 2 (b) 3 (c) 4 (d) 1
  9. 9.If 2x − 7 = 3, what is x? (a) 6 (b) 4 (c) 10 (d) 5
  10. 10.If 8x + 14 = 3x + 34, what is x? (a) 4 (b) 6 (c) 3 (d) 5
  11. 11.If x/6 + 4 = 6, what is x? (a) 2 (b) 32 (c) 12 (d) 60
  12. 12.If 9x + 7 = 133, what is x? (a) 13 (b) 14 (c) 126 (d) 15
  13. 13.If 6x + 1 = x + 6, what is x? (a) 1 (b) 4 (c) 2 (d) 3
  14. 14.If x/2 + 7 = 15, what is x? (a) 16 (b) 44 (c) 8 (d) 23
  15. 15.If 8x + 19 = 83, what is x? (a) 7 (b) 8 (c) 9 (d) 64
  16. 16.If 4x + 11 = 3x + 17, what is x? (a) 6 (b) 28 (c) 8 (d) 7
  17. 17.If x/4 + 14 = 16, what is x? (a) 120 (b) 2 (c) 50 (d) 8
  18. 18.If x/5 + 1 = 11, what is x? (a) 60 (b) 50 (c) 54 (d) 10
  19. 19.If 2x + 23 = 33, what is x? (a) 10 (b) 28 (c) 5 (d) 6
  20. 20.If 5x − 6 = 4, what is x? (a) 10 (b) 1 (c) 3 (d) 2
  21. 21.If 4x + 8 = 2x + 18, what is x? (a) 6 (b) 5 (c) 7 (d) 13
  22. 22.If 3x − 13 = 8, what is x? (a) 7 (b) 6 (c) 21 (d) 8
  23. 23.If 4x − 6 = 18, what is x? (a) 3 (b) 24 (c) 7 (d) 6
  24. 24.If 7x − 19 = 9, what is x? (a) 5 (b) 28 (c) 4 (d) 3
  25. 25.If 3x − 5 = 22, what is x? (a) 8 (b) 10 (c) 27 (d) 9
  26. 26.If 7x + 3 = x + 57, what is x? (a) 11 (b) 10 (c) 9 (d) 8
  27. 27.If 3x − 1 = 8, what is x? (a) 9 (b) 2 (c) 4 (d) 3
  28. 28.If 9x + 30 = 138, what is x? (a) 108 (b) 12 (c) 13 (d) 11
  29. 29.If x/5 + 7 = 17, what is x? (a) 50 (b) 120 (c) 10 (d) 78
  30. 30.If 4x + 5 = x + 11, what is x? (a) 4 (b) 1 (c) 2 (d) 3
  31. 31.If 8x + 6 = 2x + 12, what is x? (a) 2 (b) 4 (c) 1 (d) 3
  32. 32.If x/4 + 10 = 14, what is x? (a) 96 (b) 46 (c) 4 (d) 16
  33. 33.If 8x + 13 = 4x + 53, what is x? (a) 11 (b) 10 (c) 12 (d) 9
  34. 34.If 8x + 2 = 7x + 10, what is x? (a) 8 (b) 10 (c) 12 (d) 9
  35. 35.If 6x + 3 = 3x + 36, what is x? (a) 13 (b) 10 (c) 12 (d) 11
  36. 36.If 3x + 16 = 22, what is x? (a) 6 (b) 2 (c) 3 (d) 1
  37. 37.If x/6 + 5 = 13, what is x? (a) 8 (b) 73 (c) 108 (d) 48
  38. 38.If 4x − 46 = 6, what is x? (a) 12 (b) 14 (c) 13 (d) 52
  39. 39.If x/3 + 7 = 10, what is x? (a) 23 (b) 51 (c) 3 (d) 9
  40. 40.If 8x − 8 = 8, what is x? (a) 2 (b) 3 (c) 16 (d) 1

Answer key

  1. 10
  2. 2
  3. 8
  4. 8
  5. 14
  6. 9
  7. 2
  8. 1
  9. 5
  10. 4
  11. 12
  12. 14
  13. 1
  14. 16
  15. 8
  16. 6
  17. 8
  18. 50
  19. 5
  20. 2
  21. 5
  22. 7
  23. 6
  24. 4
  25. 9
  26. 9
  27. 3
  28. 12
  29. 50
  30. 2
  31. 1
  32. 16
  33. 10
  34. 8
  35. 11
  36. 2
  37. 48
  38. 13
  39. 9
  40. 2

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