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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 613 · 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 + 14 = 3x + 28, what is x? (a) 21 (b) 7 (c) 8 (d) 9
  2. 2.If x/3 + 7 = 11, what is x? (a) 4 (b) 12 (c) 54 (d) 26
  3. 3.If 4x + 30 = 54, what is x? (a) 24 (b) 21 (c) 7 (d) 6
  4. 4.If x/5 + 6 = 14, what is x? (a) 64 (b) 8 (c) 100 (d) 40
  5. 5.If x/4 + 6 = 10, what is x? (a) 34 (b) 64 (c) 4 (d) 16
  6. 6.If 8x + 26 = 98, what is x? (a) 8 (b) 9 (c) 10 (d) 72
  7. 7.If 4x + 13 = 53, what is x? (a) 11 (b) 40 (c) 10 (d) 9
  8. 8.If 4x + 4 = x + 7, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  9. 9.If 9x + 10 = 37, what is x? (a) 2 (b) 27 (c) 4 (d) 3
  10. 10.If x/3 + 9 = 14, what is x? (a) 33 (b) 69 (c) 5 (d) 15
  11. 11.If 4x − 28 = 8, what is x? (a) 9 (b) 36 (c) 10 (d) 8
  12. 12.If 8x − 74 = 46, what is x? (a) 15 (b) 14 (c) 120 (d) 16
  13. 13.If 3x − 6 = 6, what is x? (a) 12 (b) 3 (c) 4 (d) 5
  14. 14.If x/2 + 6 = 14, what is x? (a) 8 (b) 22 (c) 40 (d) 16
  15. 15.If x/6 + 15 = 25, what is x? (a) 240 (b) 10 (c) 135 (d) 60
  16. 16.If 6x + 8 = 38, what is x? (a) 4 (b) 5 (c) 6 (d) 30
  17. 17.If x/5 + 6 = 9, what is x? (a) 39 (b) 75 (c) 3 (d) 15
  18. 18.If x/5 + 6 = 17, what is x? (a) 115 (b) 11 (c) 79 (d) 55
  19. 19.If 3x + 15 = 2x + 22, what is x? (a) 8 (b) 7 (c) 37 (d) 9
  20. 20.If x/2 + 7 = 13, what is x? (a) 40 (b) 12 (c) 6 (d) 19
  21. 21.If 2x + 8 = 36, what is x? (a) 15 (b) 14 (c) 22 (d) 28
  22. 22.If 7x + 25 = 123, what is x? (a) 15 (b) 13 (c) 98 (d) 14
  23. 23.If 4x + 26 = 70, what is x? (a) 12 (b) 44 (c) 11 (d) 24
  24. 24.If 5x + 4 = 3x + 24, what is x? (a) 12 (b) 14 (c) 11 (d) 10
  25. 25.If 7x + 18 = 6x + 25, what is x? (a) 43 (b) 7 (c) 9 (d) 8
  26. 26.If 9x + 18 = x + 42, what is x? (a) 2 (b) 5 (c) 4 (d) 3
  27. 27.If 6x + 19 = 5x + 22, what is x? (a) 3 (b) 5 (c) 41 (d) 4
  28. 28.If 3x + 6 = 21, what is x? (a) 15 (b) 5 (c) 9 (d) 6
  29. 29.If x/2 + 4 = 9, what is x? (a) 26 (b) 5 (c) 10 (d) 14
  30. 30.If 5x + 10 = 70, what is x? (a) 60 (b) 12 (c) 13 (d) 16
  31. 31.If 3x + 1 = x + 9, what is x? (a) 2 (b) 6 (c) 4 (d) 5
  32. 32.If 7x + 24 = 38, what is x? (a) 14 (b) 1 (c) 3 (d) 2
  33. 33.If x/3 + 1 = 6, what is x? (a) 15 (b) 5 (c) 21 (d) 17
  34. 34.If 5x − 12 = 43, what is x? (a) 55 (b) 12 (c) 11 (d) 10
  35. 35.If 5x + 26 = 76, what is x? (a) 50 (b) 9 (c) 10 (d) 11
  36. 36.If 8x + 9 = 3x + 19, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  37. 37.If 7x + 18 = x + 78, what is x? (a) 12 (b) 16 (c) 11 (d) 10
  38. 38.If x/5 + 12 = 16, what is x? (a) 68 (b) 4 (c) 20 (d) 140
  39. 39.If 7x − 10 = 74, what is x? (a) 12 (b) 84 (c) 11 (d) 13
  40. 40.If 5x + 29 = 39, what is x? (a) 2 (b) 10 (c) 1 (d) 3

Answer key

  1. 7
  2. 12
  3. 6
  4. 40
  5. 16
  6. 9
  7. 10
  8. 1
  9. 3
  10. 15
  11. 9
  12. 15
  13. 4
  14. 16
  15. 60
  16. 5
  17. 15
  18. 55
  19. 7
  20. 12
  21. 14
  22. 14
  23. 11
  24. 10
  25. 7
  26. 3
  27. 3
  28. 5
  29. 10
  30. 12
  31. 4
  32. 2
  33. 15
  34. 11
  35. 10
  36. 2
  37. 10
  38. 20
  39. 12
  40. 2

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