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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 457 · 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 3x + 12 = x + 18, what is x? (a) 3 (b) 5 (c) 4 (d) 15
  2. 2.If 9x + 29 = 155, what is x? (a) 15 (b) 14 (c) 13 (d) 126
  3. 3.If x/2 + 12 = 23, what is x? (a) 34 (b) 11 (c) 22 (d) 70
  4. 4.If x/3 + 5 = 7, what is x? (a) 36 (b) 2 (c) 6 (d) 16
  5. 5.If x/2 + 6 = 17, what is x? (a) 11 (b) 22 (c) 28 (d) 46
  6. 6.If 6x + 15 = x + 50, what is x? (a) 8 (b) 5 (c) 7 (d) 13
  7. 7.If 5x + 1 = 3x + 11, what is x? (a) 5 (b) 7 (c) 4 (d) 6
  8. 8.If 6x + 18 = x + 33, what is x? (a) 3 (b) 2 (c) 5 (d) 4
  9. 9.If 7x + 2 = x + 26, what is x? (a) 3 (b) 6 (c) 4 (d) 5
  10. 10.If 9x + 14 = x + 46, what is x? (a) 5 (b) 6 (c) 4 (d) 3
  11. 11.If x/6 + 15 = 25, what is x? (a) 10 (b) 135 (c) 240 (d) 60
  12. 12.If x/5 + 1 = 10, what is x? (a) 9 (b) 49 (c) 55 (d) 45
  13. 13.If x/2 + 10 = 21, what is x? (a) 62 (b) 11 (c) 32 (d) 22
  14. 14.If x/5 + 4 = 14, what is x? (a) 90 (b) 66 (c) 10 (d) 50
  15. 15.If 4x + 9 = 49, what is x? (a) 40 (b) 9 (c) 11 (d) 10
  16. 16.If 9x + 13 = 2x + 27, what is x? (a) 2 (b) 4 (c) 1 (d) 3
  17. 17.If x/3 + 9 = 11, what is x? (a) 60 (b) 6 (c) 2 (d) 24
  18. 18.If x/6 + 4 = 14, what is x? (a) 10 (b) 60 (c) 80 (d) 108
  19. 19.If 9x + 19 = 4x + 29, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  20. 20.If 8x + 14 = 134, what is x? (a) 14 (b) 15 (c) 16 (d) 120
  21. 21.If 7x + 15 = 36, what is x? (a) 2 (b) 21 (c) 4 (d) 3
  22. 22.If 6x − 5 = 43, what is x? (a) 7 (b) 8 (c) 48 (d) 9
  23. 23.If 3x + 4 = 2x + 10, what is x? (a) 7 (b) 14 (c) 6 (d) 8
  24. 24.If 4x − 5 = 3, what is x? (a) 2 (b) 8 (c) 3 (d) 1
  25. 25.If 6x + 2 = 3x + 5, what is x? (a) 1 (b) 3 (c) 4 (d) 2
  26. 26.If x/6 + 5 = 13, what is x? (a) 48 (b) 108 (c) 8 (d) 73
  27. 27.If 2x + 29 = 57, what is x? (a) 15 (b) 28 (c) 14 (d) 43
  28. 28.If 5x − 60 = 10, what is x? (a) 70 (b) 14 (c) 15 (d) 13
  29. 29.If 7x + 4 = x + 16, what is x? (a) 2 (b) 1 (c) 4 (d) 3
  30. 30.If 2x − 9 = 13, what is x? (a) 12 (b) 22 (c) 11 (d) 2
  31. 31.If x/4 + 3 = 10, what is x? (a) 37 (b) 28 (c) 52 (d) 7
  32. 32.If 3x + 2 = 2x + 12, what is x? (a) 14 (b) 11 (c) 2 (d) 10
  33. 33.If 7x + 27 = 118, what is x? (a) 91 (b) 12 (c) 14 (d) 13
  34. 34.If 2x − 4 = 4, what is x? (a) 5 (b) 4 (c) 3 (d) 8
  35. 35.If x/6 + 14 = 19, what is x? (a) 198 (b) 100 (c) 5 (d) 30
  36. 36.If 3x + 18 = x + 20, what is x? (a) 1 (b) 19 (c) 2 (d) 3
  37. 37.If 8x + 25 = 57, what is x? (a) 4 (b) 5 (c) 3 (d) 32
  38. 38.If 7x + 29 = 106, what is x? (a) 77 (b) 12 (c) 10 (d) 11
  39. 39.If 8x + 14 = x + 21, what is x? (a) 5 (b) 3 (c) 2 (d) 1
  40. 40.If 5x − 35 = 10, what is x? (a) 45 (b) 9 (c) 8 (d) 10

Answer key

  1. 3
  2. 14
  3. 22
  4. 6
  5. 22
  6. 7
  7. 5
  8. 3
  9. 4
  10. 4
  11. 60
  12. 45
  13. 22
  14. 50
  15. 10
  16. 2
  17. 6
  18. 60
  19. 2
  20. 15
  21. 3
  22. 8
  23. 6
  24. 2
  25. 1
  26. 48
  27. 14
  28. 14
  29. 2
  30. 11
  31. 28
  32. 10
  33. 13
  34. 4
  35. 30
  36. 1
  37. 4
  38. 11
  39. 1
  40. 9

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