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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 753 · 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/2 + 9 = 15, what is x? (a) 48 (b) 21 (c) 12 (d) 6
  2. 2.If x/6 + 2 = 7, what is x? (a) 30 (b) 40 (c) 54 (d) 5
  3. 3.If 8x + 28 = 44, what is x? (a) 2 (b) 16 (c) 9 (d) 3
  4. 4.If x/5 + 14 = 21, what is x? (a) 7 (b) 91 (c) 35 (d) 175
  5. 5.If 9x + 29 = 137, what is x? (a) 11 (b) 108 (c) 13 (d) 12
  6. 6.If 2x − 2 = 8, what is x? (a) 5 (b) 3 (c) 6 (d) 10
  7. 7.If 6x + 13 = 5x + 22, what is x? (a) 11 (b) 10 (c) 35 (d) 9
  8. 8.If 4x + 13 = 3x + 14, what is x? (a) 27 (b) 3 (c) 2 (d) 1
  9. 9.If 6x − 33 = 15, what is x? (a) 9 (b) 7 (c) 8 (d) 48
  10. 10.If 8x − 10 = 14, what is x? (a) 2 (b) 3 (c) 4 (d) 24
  11. 11.If 4x + 30 = 70, what is x? (a) 40 (b) 11 (c) 10 (d) 25
  12. 12.If x/3 + 12 = 16, what is x? (a) 12 (b) 4 (c) 36 (d) 84
  13. 13.If 3x + 23 = 47, what is x? (a) 9 (b) 7 (c) 8 (d) 24
  14. 14.If x/4 + 6 = 9, what is x? (a) 30 (b) 60 (c) 12 (d) 3
  15. 15.If x/2 + 4 = 16, what is x? (a) 40 (b) 12 (c) 28 (d) 24
  16. 16.If 3x + 15 = x + 35, what is x? (a) 25 (b) 5 (c) 10 (d) 11
  17. 17.If 5x − 11 = 9, what is x? (a) 4 (b) 20 (c) 3 (d) 5
  18. 18.If 8x + 17 = 97, what is x? (a) 80 (b) 9 (c) 11 (d) 10
  19. 19.If 9x + 16 = 7x + 18, what is x? (a) 17 (b) 3 (c) 2 (d) 1
  20. 20.If 5x + 13 = 28, what is x? (a) 3 (b) 4 (c) 2 (d) 15
  21. 21.If 5x + 20 = 45, what is x? (a) 5 (b) 25 (c) 6 (d) 13
  22. 22.If 6x + 18 = 4x + 22, what is x? (a) 3 (b) 2 (c) 4 (d) 20
  23. 23.If x/3 + 5 = 10, what is x? (a) 5 (b) 15 (c) 25 (d) 45
  24. 24.If 7x + 8 = 4x + 20, what is x? (a) 6 (b) 3 (c) 4 (d) 5
  25. 25.If x/6 + 8 = 10, what is x? (a) 108 (b) 52 (c) 2 (d) 12
  26. 26.If 5x + 4 = x + 28, what is x? (a) 7 (b) 8 (c) 4 (d) 6
  27. 27.If 4x − 17 = 3, what is x? (a) 5 (b) 6 (c) 4 (d) 20
  28. 28.If 5x + 19 = 49, what is x? (a) 5 (b) 30 (c) 7 (d) 6
  29. 29.If 3x + 10 = 52, what is x? (a) 13 (b) 42 (c) 14 (d) 15
  30. 30.If 8x + 14 = 2x + 50, what is x? (a) 8 (b) 5 (c) 7 (d) 6
  31. 31.If 2x + 9 = 29, what is x? (a) 20 (b) 11 (c) 19 (d) 10
  32. 32.If 4x + 16 = x + 25, what is x? (a) 2 (b) 5 (c) 4 (d) 3
  33. 33.If x/3 + 2 = 4, what is x? (a) 2 (b) 10 (c) 18 (d) 6
  34. 34.If 9x − 38 = 7, what is x? (a) 45 (b) 4 (c) 5 (d) 6
  35. 35.If 2x − 22 = 6, what is x? (a) 15 (b) 13 (c) 28 (d) 14
  36. 36.If 8x − 3 = 21, what is x? (a) 3 (b) 4 (c) 24 (d) 2
  37. 37.If 3x − 16 = 2, what is x? (a) 7 (b) 5 (c) 18 (d) 6
  38. 38.If 8x − 20 = 100, what is x? (a) 120 (b) 16 (c) 10 (d) 15
  39. 39.If x/3 + 11 = 23, what is x? (a) 102 (b) 12 (c) 36 (d) 58
  40. 40.If 4x − 13 = 19, what is x? (a) 8 (b) 9 (c) 32 (d) 7

Answer key

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

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