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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 617 · 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 4x + 16 = 3x + 21, what is x? (a) 37 (b) 7 (c) 6 (d) 5
  2. 2.If 8x + 17 = 7x + 22, what is x? (a) 39 (b) 6 (c) 7 (d) 5
  3. 3.If 2x − 15 = 5, what is x? (a) 10 (b) 9 (c) 20 (d) 11
  4. 4.If 6x − 11 = 7, what is x? (a) 4 (b) 2 (c) 18 (d) 3
  5. 5.If 3x + 30 = 66, what is x? (a) 13 (b) 12 (c) 36 (d) 32
  6. 6.If x/4 + 3 = 6, what is x? (a) 36 (b) 21 (c) 12 (d) 3
  7. 7.If 3x + 30 = 60, what is x? (a) 9 (b) 10 (c) 30 (d) 11
  8. 8.If 4x + 12 = 2x + 24, what is x? (a) 6 (b) 18 (c) 7 (d) 2
  9. 9.If x/3 + 4 = 12, what is x? (a) 8 (b) 24 (c) 48 (d) 32
  10. 10.If x/4 + 4 = 13, what is x? (a) 48 (b) 9 (c) 68 (d) 36
  11. 11.If 3x − 6 = 12, what is x? (a) 7 (b) 6 (c) 2 (d) 18
  12. 12.If 3x + 5 = 29, what is x? (a) 9 (b) 8 (c) 24 (d) 7
  13. 13.If 7x + 10 = 4x + 31, what is x? (a) 9 (b) 7 (c) 8 (d) 6
  14. 14.If 3x + 8 = 41, what is x? (a) 33 (b) 12 (c) 10 (d) 11
  15. 15.If x/4 + 8 = 20, what is x? (a) 112 (b) 12 (c) 72 (d) 48
  16. 16.If x/6 + 1 = 12, what is x? (a) 66 (b) 11 (c) 78 (d) 71
  17. 17.If 4x + 18 = 74, what is x? (a) 15 (b) 14 (c) 23 (d) 56
  18. 18.If x/5 + 11 = 16, what is x? (a) 5 (b) 135 (c) 69 (d) 25
  19. 19.If x/5 + 4 = 10, what is x? (a) 70 (b) 6 (c) 46 (d) 30
  20. 20.If x/3 + 2 = 8, what is x? (a) 6 (b) 18 (c) 30 (d) 22
  21. 21.If 2x − 7 = 17, what is x? (a) 12 (b) 13 (c) 24 (d) 5
  22. 22.If x/4 + 9 = 20, what is x? (a) 11 (b) 44 (c) 71 (d) 116
  23. 23.If 3x + 19 = 43, what is x? (a) 9 (b) 7 (c) 24 (d) 8
  24. 24.If 3x − 3 = 6, what is x? (a) 9 (b) 4 (c) 1 (d) 3
  25. 25.If 8x + 9 = 4x + 37, what is x? (a) 9 (b) 6 (c) 8 (d) 7
  26. 26.If x/5 + 15 = 17, what is x? (a) 70 (b) 160 (c) 10 (d) 2
  27. 27.If 2x − 7 = 21, what is x? (a) 7 (b) 28 (c) 15 (d) 14
  28. 28.If x/6 + 6 = 11, what is x? (a) 5 (b) 102 (c) 30 (d) 60
  29. 29.If 8x + 22 = 86, what is x? (a) 64 (b) 7 (c) 8 (d) 9
  30. 30.If x/5 + 7 = 12, what is x? (a) 95 (b) 25 (c) 53 (d) 5
  31. 31.If 4x + 10 = 2x + 30, what is x? (a) 20 (b) 10 (c) 12 (d) 11
  32. 32.If 2x − 1 = 3, what is x? (a) 2 (b) 1 (c) 4 (d) 3
  33. 33.If 9x + 16 = 8x + 19, what is x? (a) 35 (b) 3 (c) 4 (d) 5
  34. 34.If 2x + 23 = 29, what is x? (a) 3 (b) 4 (c) 6 (d) 26
  35. 35.If 3x − 11 = 19, what is x? (a) 9 (b) 11 (c) 10 (d) 30
  36. 36.If 8x − 40 = 8, what is x? (a) 7 (b) 5 (c) 6 (d) 48
  37. 37.If 9x + 12 = 4x + 22, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  38. 38.If 5x + 2 = 42, what is x? (a) 7 (b) 9 (c) 8 (d) 40
  39. 39.If 3x − 17 = 25, what is x? (a) 42 (b) 13 (c) 15 (d) 14
  40. 40.If x/3 + 8 = 18, what is x? (a) 46 (b) 78 (c) 10 (d) 30

Answer key

  1. 5
  2. 5
  3. 10
  4. 3
  5. 12
  6. 12
  7. 10
  8. 6
  9. 24
  10. 36
  11. 6
  12. 8
  13. 7
  14. 11
  15. 48
  16. 66
  17. 14
  18. 25
  19. 30
  20. 18
  21. 12
  22. 44
  23. 8
  24. 3
  25. 7
  26. 10
  27. 14
  28. 30
  29. 8
  30. 25
  31. 10
  32. 2
  33. 3
  34. 3
  35. 10
  36. 6
  37. 2
  38. 8
  39. 14
  40. 30

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