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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 699 · 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 2x + 30 = 56, what is x? (a) 43 (b) 13 (c) 14 (d) 26
  2. 2.If 4x + 3 = 2x + 13, what is x? (a) 7 (b) 6 (c) 8 (d) 5
  3. 3.If x/2 + 13 = 17, what is x? (a) 4 (b) 21 (c) 8 (d) 60
  4. 4.If 2x − 7 = 23, what is x? (a) 30 (b) 16 (c) 15 (d) 8
  5. 5.If 8x − 21 = 27, what is x? (a) 48 (b) 6 (c) 5 (d) 7
  6. 6.If x/6 + 11 = 13, what is x? (a) 67 (b) 144 (c) 2 (d) 12
  7. 7.If x/5 + 10 = 12, what is x? (a) 110 (b) 10 (c) 2 (d) 50
  8. 8.If 6x + 2 = 3x + 14, what is x? (a) 3 (b) 6 (c) 5 (d) 4
  9. 9.If 7x + 20 = 34, what is x? (a) 14 (b) 1 (c) 2 (d) 3
  10. 10.If 9x − 9 = 99, what is x? (a) 10 (b) 13 (c) 108 (d) 12
  11. 11.If x/5 + 4 = 15, what is x? (a) 71 (b) 95 (c) 11 (d) 55
  12. 12.If 2x + 1 = 25, what is x? (a) 12 (b) 13 (c) 11 (d) 24
  13. 13.If 6x + 20 = 3x + 29, what is x? (a) 3 (b) 1 (c) 4 (d) 5
  14. 14.If x/6 + 6 = 12, what is x? (a) 108 (b) 66 (c) 6 (d) 36
  15. 15.If 2x − 13 = 9, what is x? (a) 10 (b) 22 (c) 12 (d) 11
  16. 16.If x/2 + 1 = 6, what is x? (a) 10 (b) 5 (c) 11 (d) 14
  17. 17.If 2x − 28 = 2, what is x? (a) 14 (b) 30 (c) 15 (d) 16
  18. 18.If 4x − 11 = 9, what is x? (a) 6 (b) 4 (c) 5 (d) 20
  19. 19.If 2x + 27 = 55, what is x? (a) 14 (b) 41 (c) 28 (d) 15
  20. 20.If 3x + 18 = 2x + 21, what is x? (a) 5 (b) 39 (c) 4 (d) 3
  21. 21.If 8x + 3 = 27, what is x? (a) 2 (b) 24 (c) 3 (d) 4
  22. 22.If x/3 + 13 = 21, what is x? (a) 8 (b) 50 (c) 24 (d) 102
  23. 23.If 2x − 9 = 1, what is x? (a) 5 (b) 6 (c) 10 (d) 4
  24. 24.If x/2 + 14 = 16, what is x? (a) 4 (b) 2 (c) 60 (d) 18
  25. 25.If 5x + 23 = 73, what is x? (a) 9 (b) 11 (c) 10 (d) 50
  26. 26.If 8x + 15 = 3x + 75, what is x? (a) 14 (b) 18 (c) 12 (d) 13
  27. 27.If 9x − 67 = 41, what is x? (a) 11 (b) 108 (c) 13 (d) 12
  28. 28.If 7x + 3 = 24, what is x? (a) 21 (b) 4 (c) 2 (d) 3
  29. 29.If 9x + 23 = 104, what is x? (a) 8 (b) 9 (c) 81 (d) 10
  30. 30.If 7x − 2 = 82, what is x? (a) 11 (b) 13 (c) 84 (d) 12
  31. 31.If 3x + 4 = 10, what is x? (a) 3 (b) 6 (c) 2 (d) 1
  32. 32.If 4x + 18 = 70, what is x? (a) 13 (b) 14 (c) 22 (d) 52
  33. 33.If x/3 + 4 = 14, what is x? (a) 30 (b) 54 (c) 38 (d) 10
  34. 34.If 7x + 2 = 5x + 14, what is x? (a) 6 (b) 7 (c) 1 (d) 8
  35. 35.If 5x + 18 = 43, what is x? (a) 5 (b) 25 (c) 4 (d) 6
  36. 36.If 5x + 1 = 4x + 4, what is x? (a) 5 (b) 2 (c) 3 (d) 4
  37. 37.If 9x + 6 = 4x + 51, what is x? (a) 11 (b) 9 (c) 8 (d) 10
  38. 38.If 2x + 25 = 35, what is x? (a) 30 (b) 6 (c) 5 (d) 10
  39. 39.If 5x + 20 = 45, what is x? (a) 25 (b) 5 (c) 13 (d) 6
  40. 40.If 4x − 21 = 11, what is x? (a) 32 (b) 8 (c) 7 (d) 9

Answer key

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

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