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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 34 · 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 9x + 16 = 133, what is x? (a) 117 (b) 13 (c) 14 (d) 12
  2. 2.If 2x + 16 = 30, what is x? (a) 8 (b) 7 (c) 23 (d) 14
  3. 3.If x/6 + 7 = 18, what is x? (a) 66 (b) 101 (c) 150 (d) 11
  4. 4.If 7x + 4 = 88, what is x? (a) 12 (b) 11 (c) 13 (d) 84
  5. 5.If 9x + 1 = 6x + 31, what is x? (a) 2 (b) 10 (c) 12 (d) 11
  6. 6.If 6x − 5 = 19, what is x? (a) 4 (b) 3 (c) 24 (d) 5
  7. 7.If 6x + 11 = 35, what is x? (a) 5 (b) 3 (c) 24 (d) 4
  8. 8.If 6x + 6 = x + 61, what is x? (a) 12 (b) 10 (c) 11 (d) 13
  9. 9.If 6x + 19 = 61, what is x? (a) 6 (b) 42 (c) 7 (d) 8
  10. 10.If x/6 + 3 = 13, what is x? (a) 60 (b) 75 (c) 10 (d) 96
  11. 11.If 5x + 20 = 2x + 38, what is x? (a) 8 (b) 7 (c) 6 (d) 5
  12. 12.If x/4 + 3 = 14, what is x? (a) 11 (b) 44 (c) 53 (d) 68
  13. 13.If 9x − 33 = 102, what is x? (a) 14 (b) 135 (c) 16 (d) 15
  14. 14.If x/5 + 7 = 19, what is x? (a) 88 (b) 12 (c) 60 (d) 130
  15. 15.If 3x − 38 = 7, what is x? (a) 45 (b) 15 (c) 16 (d) 14
  16. 16.If 7x + 18 = 95, what is x? (a) 10 (b) 77 (c) 11 (d) 12
  17. 17.If 4x + 28 = 72, what is x? (a) 44 (b) 12 (c) 11 (d) 25
  18. 18.If x/6 + 5 = 13, what is x? (a) 8 (b) 48 (c) 108 (d) 73
  19. 19.If 3x − 2 = 31, what is x? (a) 10 (b) 33 (c) 12 (d) 11
  20. 20.If 9x − 11 = 43, what is x? (a) 54 (b) 6 (c) 5 (d) 7
  21. 21.If x/4 + 15 = 26, what is x? (a) 164 (b) 11 (c) 89 (d) 44
  22. 22.If 9x + 4 = 121, what is x? (a) 117 (b) 12 (c) 14 (d) 13
  23. 23.If 4x + 23 = 59, what is x? (a) 36 (b) 8 (c) 9 (d) 10
  24. 24.If 8x + 18 = x + 32, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  25. 25.If 6x + 11 = 29, what is x? (a) 18 (b) 2 (c) 4 (d) 3
  26. 26.If x/6 + 11 = 18, what is x? (a) 7 (b) 97 (c) 174 (d) 42
  27. 27.If 4x + 16 = 3x + 23, what is x? (a) 8 (b) 39 (c) 7 (d) 1
  28. 28.If 7x + 7 = 6x + 13, what is x? (a) 6 (b) 20 (c) 7 (d) 8
  29. 29.If x/2 + 4 = 6, what is x? (a) 2 (b) 8 (c) 20 (d) 4
  30. 30.If 4x − 3 = 29, what is x? (a) 7 (b) 9 (c) 8 (d) 32
  31. 31.If 3x + 2 = 35, what is x? (a) 12 (b) 10 (c) 33 (d) 11
  32. 32.If 6x + 10 = 58, what is x? (a) 9 (b) 7 (c) 48 (d) 8
  33. 33.If 3x + 3 = 15, what is x? (a) 5 (b) 12 (c) 4 (d) 6
  34. 34.If 2x + 3 = 13, what is x? (a) 5 (b) 6 (c) 10 (d) 8
  35. 35.If x/4 + 2 = 13, what is x? (a) 44 (b) 60 (c) 50 (d) 11
  36. 36.If x/2 + 8 = 13, what is x? (a) 10 (b) 18 (c) 5 (d) 42
  37. 37.If 3x + 11 = x + 13, what is x? (a) 12 (b) 2 (c) 1 (d) 3
  38. 38.If 4x − 7 = 1, what is x? (a) 2 (b) 1 (c) 8 (d) 3
  39. 39.If 8x + 13 = x + 41, what is x? (a) 4 (b) 5 (c) 6 (d) 3
  40. 40.If 8x + 3 = 5x + 33, what is x? (a) 11 (b) 10 (c) 9 (d) 12

Answer key

  1. 13
  2. 7
  3. 66
  4. 12
  5. 10
  6. 4
  7. 4
  8. 11
  9. 7
  10. 60
  11. 6
  12. 44
  13. 15
  14. 60
  15. 15
  16. 11
  17. 11
  18. 48
  19. 11
  20. 6
  21. 44
  22. 13
  23. 9
  24. 2
  25. 3
  26. 42
  27. 7
  28. 6
  29. 4
  30. 8
  31. 11
  32. 8
  33. 4
  34. 5
  35. 44
  36. 10
  37. 1
  38. 2
  39. 4
  40. 10

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