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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 473 · 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 + 17 = 32, what is x? (a) 2 (b) 3 (c) 4 (d) 15
  2. 2.If x/2 + 10 = 13, what is x? (a) 3 (b) 6 (c) 16 (d) 46
  3. 3.If 6x − 9 = 9, what is x? (a) 18 (b) 3 (c) 4 (d) 2
  4. 4.If x/6 + 15 = 26, what is x? (a) 141 (b) 246 (c) 66 (d) 11
  5. 5.If x/2 + 11 = 19, what is x? (a) 16 (b) 8 (c) 27 (d) 60
  6. 6.If x/6 + 3 = 12, what is x? (a) 90 (b) 9 (c) 69 (d) 54
  7. 7.If 9x − 9 = 117, what is x? (a) 126 (b) 12 (c) 15 (d) 14
  8. 8.If 8x + 14 = 54, what is x? (a) 5 (b) 40 (c) 4 (d) 6
  9. 9.If 7x − 13 = 1, what is x? (a) 1 (b) 2 (c) 14 (d) 3
  10. 10.If x/3 + 11 = 22, what is x? (a) 55 (b) 33 (c) 99 (d) 11
  11. 11.If 3x − 9 = 15, what is x? (a) 24 (b) 8 (c) 9 (d) 2
  12. 12.If 4x + 18 = x + 27, what is x? (a) 5 (b) 3 (c) 4 (d) 15
  13. 13.If x/5 + 14 = 20, what is x? (a) 86 (b) 6 (c) 30 (d) 170
  14. 14.If 3x + 8 = 17, what is x? (a) 4 (b) 9 (c) 2 (d) 3
  15. 15.If 4x + 2 = x + 11, what is x? (a) 5 (b) 2 (c) 3 (d) 4
  16. 16.If 4x + 9 = 2x + 13, what is x? (a) 4 (b) 3 (c) 2 (d) 11
  17. 17.If 5x − 6 = 19, what is x? (a) 25 (b) 6 (c) 5 (d) 4
  18. 18.If x/6 + 13 = 24, what is x? (a) 131 (b) 11 (c) 222 (d) 66
  19. 19.If 4x − 6 = 14, what is x? (a) 2 (b) 6 (c) 20 (d) 5
  20. 20.If x/2 + 2 = 7, what is x? (a) 18 (b) 12 (c) 5 (d) 10
  21. 21.If 3x − 3 = 9, what is x? (a) 4 (b) 12 (c) 2 (d) 5
  22. 22.If 5x + 27 = 77, what is x? (a) 50 (b) 9 (c) 10 (d) 11
  23. 23.If 5x − 10 = 20, what is x? (a) 7 (b) 2 (c) 30 (d) 6
  24. 24.If x/5 + 11 = 22, what is x? (a) 11 (b) 55 (c) 99 (d) 165
  25. 25.If x/5 + 5 = 13, what is x? (a) 40 (b) 90 (c) 8 (d) 60
  26. 26.If x/5 + 6 = 15, what is x? (a) 69 (b) 45 (c) 105 (d) 9
  27. 27.If 2x − 1 = 3, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  28. 28.If 2x − 14 = 6, what is x? (a) 9 (b) 10 (c) 11 (d) 20
  29. 29.If 2x − 10 = 4, what is x? (a) 14 (b) 7 (c) 8 (d) 6
  30. 30.If 6x + 23 = 95, what is x? (a) 12 (b) 13 (c) 11 (d) 72
  31. 31.If 9x + 10 = 3x + 16, what is x? (a) 3 (b) 2 (c) 1 (d) 4
  32. 32.If 5x − 13 = 47, what is x? (a) 60 (b) 11 (c) 13 (d) 12
  33. 33.If x/2 + 10 = 22, what is x? (a) 34 (b) 64 (c) 24 (d) 12
  34. 34.If 4x − 1 = 11, what is x? (a) 4 (b) 2 (c) 12 (d) 3
  35. 35.If 3x − 10 = 2, what is x? (a) 5 (b) 4 (c) 12 (d) 3
  36. 36.If x/2 + 5 = 9, what is x? (a) 4 (b) 8 (c) 13 (d) 28
  37. 37.If x/2 + 3 = 11, what is x? (a) 28 (b) 8 (c) 16 (d) 19
  38. 38.If 9x + 25 = 106, what is x? (a) 10 (b) 9 (c) 8 (d) 81
  39. 39.If 3x + 1 = x + 23, what is x? (a) 10 (b) 12 (c) 11 (d) 13
  40. 40.If 9x + 12 = 30, what is x? (a) 1 (b) 2 (c) 18 (d) 3

Answer key

  1. 3
  2. 6
  3. 3
  4. 66
  5. 16
  6. 54
  7. 14
  8. 5
  9. 2
  10. 33
  11. 8
  12. 3
  13. 30
  14. 3
  15. 3
  16. 2
  17. 5
  18. 66
  19. 5
  20. 10
  21. 4
  22. 10
  23. 6
  24. 55
  25. 40
  26. 45
  27. 2
  28. 10
  29. 7
  30. 12
  31. 1
  32. 12
  33. 24
  34. 3
  35. 4
  36. 8
  37. 16
  38. 9
  39. 11
  40. 2

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