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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 596 · 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/3 + 7 = 18, what is x? (a) 33 (b) 11 (c) 75 (d) 47
  2. 2.If 9x − 55 = 17, what is x? (a) 72 (b) 7 (c) 8 (d) 9
  3. 3.If 3x + 8 = 2x + 10, what is x? (a) 18 (b) 3 (c) 4 (d) 2
  4. 4.If x/3 + 3 = 14, what is x? (a) 39 (b) 51 (c) 33 (d) 11
  5. 5.If 7x + 3 = 108, what is x? (a) 105 (b) 14 (c) 15 (d) 16
  6. 6.If 6x + 7 = 25, what is x? (a) 3 (b) 2 (c) 4 (d) 18
  7. 7.If x/5 + 15 = 19, what is x? (a) 20 (b) 170 (c) 4 (d) 80
  8. 8.If 8x + 6 = 86, what is x? (a) 80 (b) 9 (c) 11 (d) 10
  9. 9.If x/6 + 10 = 14, what is x? (a) 74 (b) 144 (c) 24 (d) 4
  10. 10.If x/3 + 8 = 13, what is x? (a) 5 (b) 31 (c) 63 (d) 15
  11. 11.If x/5 + 9 = 21, what is x? (a) 96 (b) 12 (c) 60 (d) 150
  12. 12.If x/5 + 5 = 9, what is x? (a) 40 (b) 70 (c) 4 (d) 20
  13. 13.If x/6 + 8 = 13, what is x? (a) 70 (b) 30 (c) 5 (d) 126
  14. 14.If x/2 + 5 = 14, what is x? (a) 18 (b) 23 (c) 38 (d) 9
  15. 15.If 9x + 7 = x + 39, what is x? (a) 6 (b) 3 (c) 5 (d) 4
  16. 16.If 5x + 6 = 81, what is x? (a) 75 (b) 14 (c) 15 (d) 16
  17. 17.If 2x + 1 = 5, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  18. 18.If 2x + 18 = 48, what is x? (a) 33 (b) 30 (c) 16 (d) 15
  19. 19.If x/6 + 13 = 24, what is x? (a) 11 (b) 222 (c) 66 (d) 131
  20. 20.If 3x + 3 = 24, what is x? (a) 7 (b) 9 (c) 21 (d) 8
  21. 21.If x/2 + 13 = 16, what is x? (a) 6 (b) 19 (c) 58 (d) 3
  22. 22.If 2x + 11 = 35, what is x? (a) 13 (b) 24 (c) 12 (d) 23
  23. 23.If x/6 + 2 = 4, what is x? (a) 12 (b) 22 (c) 2 (d) 36
  24. 24.If 6x + 8 = 50, what is x? (a) 8 (b) 7 (c) 42 (d) 6
  25. 25.If 9x − 40 = 5, what is x? (a) 5 (b) 6 (c) 45 (d) 4
  26. 26.If 2x + 9 = 25, what is x? (a) 9 (b) 8 (c) 16 (d) 17
  27. 27.If 5x + 13 = x + 17, what is x? (a) 3 (b) 1 (c) 4 (d) 2
  28. 28.If 7x + 18 = 32, what is x? (a) 14 (b) 1 (c) 2 (d) 3
  29. 29.If 6x + 21 = 39, what is x? (a) 4 (b) 10 (c) 3 (d) 18
  30. 30.If 3x + 5 = 11, what is x? (a) 3 (b) 1 (c) 6 (d) 2
  31. 31.If 7x − 29 = 55, what is x? (a) 11 (b) 13 (c) 12 (d) 84
  32. 32.If 2x + 15 = 27, what is x? (a) 21 (b) 12 (c) 6 (d) 7
  33. 33.If 7x + 8 = 36, what is x? (a) 4 (b) 3 (c) 28 (d) 5
  34. 34.If x/6 + 8 = 20, what is x? (a) 72 (b) 12 (c) 112 (d) 168
  35. 35.If 8x + 7 = 5x + 25, what is x? (a) 5 (b) 6 (c) 7 (d) 8
  36. 36.If 5x + 7 = x + 43, what is x? (a) 10 (b) 6 (c) 9 (d) 11
  37. 37.If 9x + 8 = 116, what is x? (a) 12 (b) 13 (c) 11 (d) 108
  38. 38.If 5x + 1 = 56, what is x? (a) 11 (b) 10 (c) 12 (d) 55
  39. 39.If 6x − 61 = 17, what is x? (a) 78 (b) 13 (c) 14 (d) 12
  40. 40.If 6x + 16 = 40, what is x? (a) 24 (b) 5 (c) 3 (d) 4

Answer key

  1. 33
  2. 8
  3. 2
  4. 33
  5. 15
  6. 3
  7. 20
  8. 10
  9. 24
  10. 15
  11. 60
  12. 20
  13. 30
  14. 18
  15. 4
  16. 15
  17. 2
  18. 15
  19. 66
  20. 7
  21. 6
  22. 12
  23. 12
  24. 7
  25. 5
  26. 8
  27. 1
  28. 2
  29. 3
  30. 2
  31. 12
  32. 6
  33. 4
  34. 72
  35. 6
  36. 9
  37. 12
  38. 11
  39. 13
  40. 4

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