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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 575 · 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 + 22 = 49, what is x? (a) 27 (b) 4 (c) 2 (d) 3
  2. 2.If x/3 + 1 = 6, what is x? (a) 5 (b) 17 (c) 21 (d) 15
  3. 3.If 7x + 1 = 6x + 2, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  4. 4.If 2x − 14 = 2, what is x? (a) 7 (b) 8 (c) 9 (d) 16
  5. 5.If 9x − 48 = 51, what is x? (a) 12 (b) 99 (c) 11 (d) 10
  6. 6.If 5x + 19 = 94, what is x? (a) 16 (b) 75 (c) 14 (d) 15
  7. 7.If 7x − 10 = 32, what is x? (a) 7 (b) 42 (c) 5 (d) 6
  8. 8.If 4x + 5 = 3x + 6, what is x? (a) 3 (b) 11 (c) 2 (d) 1
  9. 9.If 3x + 24 = 63, what is x? (a) 29 (b) 14 (c) 39 (d) 13
  10. 10.If 7x + 2 = 2x + 62, what is x? (a) 13 (b) 14 (c) 11 (d) 12
  11. 11.If 5x − 3 = 7, what is x? (a) 10 (b) 3 (c) 2 (d) 1
  12. 12.If 4x + 13 = x + 16, what is x? (a) 2 (b) 4 (c) 1 (d) 3
  13. 13.If 2x − 5 = 1, what is x? (a) 6 (b) 4 (c) 2 (d) 3
  14. 14.If x/2 + 3 = 5, what is x? (a) 7 (b) 4 (c) 2 (d) 16
  15. 15.If 5x + 16 = 76, what is x? (a) 13 (b) 60 (c) 12 (d) 11
  16. 16.If 2x + 25 = 35, what is x? (a) 10 (b) 30 (c) 6 (d) 5
  17. 17.If 3x + 8 = 17, what is x? (a) 4 (b) 3 (c) 9 (d) 2
  18. 18.If x/3 + 5 = 11, what is x? (a) 28 (b) 6 (c) 18 (d) 48
  19. 19.If x/5 + 8 = 19, what is x? (a) 55 (b) 11 (c) 135 (d) 87
  20. 20.If 3x + 19 = x + 35, what is x? (a) 4 (b) 9 (c) 8 (d) 27
  21. 21.If 5x − 2 = 43, what is x? (a) 9 (b) 10 (c) 45 (d) 8
  22. 22.If 7x + 3 = 59, what is x? (a) 7 (b) 56 (c) 9 (d) 8
  23. 23.If x/2 + 13 = 18, what is x? (a) 23 (b) 5 (c) 10 (d) 62
  24. 24.If 7x + 11 = 95, what is x? (a) 11 (b) 12 (c) 84 (d) 13
  25. 25.If 4x − 6 = 30, what is x? (a) 36 (b) 10 (c) 9 (d) 6
  26. 26.If 7x + 4 = 53, what is x? (a) 49 (b) 8 (c) 7 (d) 6
  27. 27.If x/6 + 10 = 17, what is x? (a) 92 (b) 162 (c) 7 (d) 42
  28. 28.If 5x + 17 = 92, what is x? (a) 14 (b) 75 (c) 15 (d) 16
  29. 29.If x/5 + 8 = 18, what is x? (a) 130 (b) 82 (c) 10 (d) 50
  30. 30.If x/2 + 12 = 23, what is x? (a) 34 (b) 70 (c) 22 (d) 11
  31. 31.If 7x − 5 = 51, what is x? (a) 7 (b) 9 (c) 8 (d) 56
  32. 32.If 3x + 17 = 38, what is x? (a) 6 (b) 8 (c) 7 (d) 21
  33. 33.If 5x − 10 = 50, what is x? (a) 13 (b) 8 (c) 12 (d) 60
  34. 34.If 7x + 19 = 5x + 21, what is x? (a) 20 (b) 2 (c) 3 (d) 1
  35. 35.If x/4 + 6 = 8, what is x? (a) 8 (b) 56 (c) 2 (d) 26
  36. 36.If 7x + 13 = 62, what is x? (a) 8 (b) 6 (c) 7 (d) 49
  37. 37.If x/2 + 7 = 18, what is x? (a) 11 (b) 50 (c) 29 (d) 22
  38. 38.If x/5 + 13 = 19, what is x? (a) 30 (b) 82 (c) 6 (d) 160
  39. 39.If 2x − 27 = 1, what is x? (a) 14 (b) 28 (c) 15 (d) 13
  40. 40.If x/5 + 15 = 25, what is x? (a) 50 (b) 200 (c) 110 (d) 10

Answer key

  1. 3
  2. 15
  3. 1
  4. 8
  5. 11
  6. 15
  7. 6
  8. 1
  9. 13
  10. 12
  11. 2
  12. 1
  13. 3
  14. 4
  15. 12
  16. 5
  17. 3
  18. 18
  19. 55
  20. 8
  21. 9
  22. 8
  23. 10
  24. 12
  25. 9
  26. 7
  27. 42
  28. 15
  29. 50
  30. 22
  31. 8
  32. 7
  33. 12
  34. 1
  35. 8
  36. 7
  37. 22
  38. 30
  39. 14
  40. 50

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