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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 829 · 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 + 7 = 32, what is x? (a) 6 (b) 4 (c) 25 (d) 5
  2. 2.If 5x − 30 = 40, what is x? (a) 70 (b) 2 (c) 15 (d) 14
  3. 3.If 5x − 2 = 8, what is x? (a) 2 (b) 10 (c) 3 (d) 1
  4. 4.If 6x − 11 = 7, what is x? (a) 4 (b) 3 (c) 18 (d) 2
  5. 5.If 2x + 27 = 35, what is x? (a) 5 (b) 8 (c) 4 (d) 31
  6. 6.If x/5 + 8 = 12, what is x? (a) 52 (b) 20 (c) 4 (d) 100
  7. 7.If 8x − 22 = 26, what is x? (a) 6 (b) 48 (c) 7 (d) 5
  8. 8.If 8x + 10 = 106, what is x? (a) 11 (b) 96 (c) 12 (d) 13
  9. 9.If 7x + 20 = x + 92, what is x? (a) 12 (b) 9 (c) 13 (d) 14
  10. 10.If 3x + 20 = 53, what is x? (a) 33 (b) 11 (c) 10 (d) 12
  11. 11.If 6x + 18 = 2x + 34, what is x? (a) 13 (b) 2 (c) 4 (d) 5
  12. 12.If 6x + 6 = x + 26, what is x? (a) 5 (b) 4 (c) 6 (d) 3
  13. 13.If 5x + 18 = 4x + 22, what is x? (a) 40 (b) 5 (c) 4 (d) 6
  14. 14.If x/5 + 3 = 6, what is x? (a) 15 (b) 45 (c) 27 (d) 3
  15. 15.If 8x + 19 = 59, what is x? (a) 6 (b) 5 (c) 40 (d) 4
  16. 16.If 7x − 18 = 45, what is x? (a) 8 (b) 10 (c) 63 (d) 9
  17. 17.If 8x − 97 = 7, what is x? (a) 12 (b) 14 (c) 13 (d) 104
  18. 18.If x/5 + 11 = 15, what is x? (a) 20 (b) 130 (c) 4 (d) 64
  19. 19.If x/6 + 4 = 9, what is x? (a) 78 (b) 5 (c) 30 (d) 50
  20. 20.If 3x − 1 = 5, what is x? (a) 3 (b) 6 (c) 2 (d) 1
  21. 21.If 2x + 5 = 15, what is x? (a) 6 (b) 4 (c) 5 (d) 10
  22. 22.If 9x + 25 = 151, what is x? (a) 15 (b) 13 (c) 14 (d) 126
  23. 23.If 3x + 20 = 38, what is x? (a) 18 (b) 5 (c) 7 (d) 6
  24. 24.If 7x + 29 = 64, what is x? (a) 6 (b) 35 (c) 5 (d) 4
  25. 25.If 7x + 12 = 3x + 48, what is x? (a) 11 (b) 10 (c) 15 (d) 9
  26. 26.If 7x + 3 = 2x + 58, what is x? (a) 11 (b) 13 (c) 10 (d) 12
  27. 27.If 3x + 28 = 52, what is x? (a) 8 (b) 7 (c) 9 (d) 24
  28. 28.If 3x − 4 = 32, what is x? (a) 12 (b) 13 (c) 11 (d) 36
  29. 29.If x/2 + 4 = 10, what is x? (a) 28 (b) 12 (c) 16 (d) 6
  30. 30.If 2x + 27 = 37, what is x? (a) 10 (b) 32 (c) 5 (d) 6
  31. 31.If 9x + 10 = 136, what is x? (a) 14 (b) 15 (c) 13 (d) 126
  32. 32.If 6x + 3 = 3x + 30, what is x? (a) 10 (b) 11 (c) 3 (d) 9
  33. 33.If 8x + 7 = 63, what is x? (a) 56 (b) 7 (c) 8 (d) 6
  34. 34.If 6x + 16 = x + 36, what is x? (a) 5 (b) 6 (c) 3 (d) 4
  35. 35.If x/3 + 13 = 25, what is x? (a) 114 (b) 36 (c) 62 (d) 12
  36. 36.If x/6 + 4 = 15, what is x? (a) 114 (b) 86 (c) 66 (d) 11
  37. 37.If 8x − 2 = 22, what is x? (a) 2 (b) 4 (c) 24 (d) 3
  38. 38.If x/2 + 10 = 14, what is x? (a) 4 (b) 48 (c) 8 (d) 18
  39. 39.If 5x + 23 = 78, what is x? (a) 10 (b) 12 (c) 55 (d) 11
  40. 40.If x/2 + 5 = 13, what is x? (a) 36 (b) 21 (c) 16 (d) 8

Answer key

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

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