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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 81 · 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 5x − 8 = 22, what is x? (a) 6 (b) 7 (c) 30 (d) 5
  2. 2.If 6x − 13 = 23, what is x? (a) 6 (b) 7 (c) 5 (d) 36
  3. 3.If 6x − 6 = 6, what is x? (a) 12 (b) 3 (c) 1 (d) 2
  4. 4.If 9x − 4 = 14, what is x? (a) 1 (b) 2 (c) 3 (d) 18
  5. 5.If 9x + 15 = 6x + 33, what is x? (a) 6 (b) 7 (c) 8 (d) 16
  6. 6.If 3x − 5 = 4, what is x? (a) 9 (b) 2 (c) 3 (d) 4
  7. 7.If 9x − 62 = 55, what is x? (a) 13 (b) 14 (c) 12 (d) 117
  8. 8.If 6x − 5 = 7, what is x? (a) 2 (b) 3 (c) 1 (d) 12
  9. 9.If 7x + 16 = 44, what is x? (a) 4 (b) 5 (c) 28 (d) 3
  10. 10.If x/2 + 8 = 13, what is x? (a) 42 (b) 18 (c) 5 (d) 10
  11. 11.If 8x + 10 = 58, what is x? (a) 7 (b) 48 (c) 5 (d) 6
  12. 12.If 6x + 13 = 67, what is x? (a) 10 (b) 8 (c) 9 (d) 54
  13. 13.If 4x + 5 = 2x + 13, what is x? (a) 5 (b) 9 (c) 6 (d) 4
  14. 14.If 7x − 21 = 70, what is x? (a) 91 (b) 14 (c) 7 (d) 13
  15. 15.If 9x + 14 = 77, what is x? (a) 63 (b) 6 (c) 7 (d) 8
  16. 16.If x/6 + 5 = 10, what is x? (a) 5 (b) 55 (c) 90 (d) 30
  17. 17.If 6x + 21 = 99, what is x? (a) 13 (b) 14 (c) 20 (d) 78
  18. 18.If 5x + 2 = 67, what is x? (a) 12 (b) 65 (c) 13 (d) 14
  19. 19.If 3x + 8 = 23, what is x? (a) 15 (b) 4 (c) 6 (d) 5
  20. 20.If x/3 + 13 = 16, what is x? (a) 3 (b) 35 (c) 87 (d) 9
  21. 21.If x/4 + 8 = 16, what is x? (a) 96 (b) 56 (c) 8 (d) 32
  22. 22.If 4x + 19 = x + 34, what is x? (a) 5 (b) 3 (c) 7 (d) 6
  23. 23.If x/2 + 13 = 17, what is x? (a) 4 (b) 21 (c) 8 (d) 60
  24. 24.If 8x − 6 = 10, what is x? (a) 16 (b) 2 (c) 1 (d) 3
  25. 25.If x/3 + 4 = 14, what is x? (a) 10 (b) 54 (c) 38 (d) 30
  26. 26.If 6x + 13 = 3x + 37, what is x? (a) 7 (b) 9 (c) 8 (d) 10
  27. 27.If 4x + 18 = 3x + 21, what is x? (a) 39 (b) 3 (c) 4 (d) 5
  28. 28.If 8x − 2 = 22, what is x? (a) 24 (b) 4 (c) 2 (d) 3
  29. 29.If 3x + 13 = x + 27, what is x? (a) 8 (b) 20 (c) 7 (d) 9
  30. 30.If x/6 + 7 = 18, what is x? (a) 11 (b) 101 (c) 66 (d) 150
  31. 31.If 3x + 9 = 2x + 12, what is x? (a) 3 (b) 4 (c) 5 (d) 21
  32. 32.If 9x − 4 = 113, what is x? (a) 117 (b) 14 (c) 13 (d) 12
  33. 33.If 9x − 45 = 18, what is x? (a) 7 (b) 6 (c) 8 (d) 63
  34. 34.If x/5 + 6 = 18, what is x? (a) 120 (b) 12 (c) 84 (d) 60
  35. 35.If 2x + 26 = 56, what is x? (a) 41 (b) 16 (c) 15 (d) 30
  36. 36.If 6x + 5 = 71, what is x? (a) 11 (b) 12 (c) 10 (d) 66
  37. 37.If 9x − 53 = 28, what is x? (a) 10 (b) 81 (c) 8 (d) 9
  38. 38.If 8x + 20 = 4x + 48, what is x? (a) 17 (b) 7 (c) 9 (d) 8
  39. 39.If 8x + 29 = 125, what is x? (a) 11 (b) 96 (c) 12 (d) 13
  40. 40.If x/2 + 5 = 9, what is x? (a) 28 (b) 4 (c) 13 (d) 8

Answer key

  1. 6
  2. 6
  3. 2
  4. 2
  5. 6
  6. 3
  7. 13
  8. 2
  9. 4
  10. 10
  11. 6
  12. 9
  13. 4
  14. 13
  15. 7
  16. 30
  17. 13
  18. 13
  19. 5
  20. 9
  21. 32
  22. 5
  23. 8
  24. 2
  25. 30
  26. 8
  27. 3
  28. 3
  29. 7
  30. 66
  31. 3
  32. 13
  33. 7
  34. 60
  35. 15
  36. 11
  37. 9
  38. 7
  39. 12
  40. 8

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