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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 860 · 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/6 + 1 = 9, what is x? (a) 53 (b) 60 (c) 8 (d) 48
  2. 2.If x/6 + 13 = 16, what is x? (a) 83 (b) 174 (c) 18 (d) 3
  3. 3.If 8x − 24 = 24, what is x? (a) 5 (b) 6 (c) 7 (d) 48
  4. 4.If 7x + 9 = 2x + 54, what is x? (a) 10 (b) 11 (c) 9 (d) 5
  5. 5.If x/3 + 7 = 15, what is x? (a) 8 (b) 66 (c) 24 (d) 38
  6. 6.If 2x − 4 = 4, what is x? (a) 8 (b) 5 (c) 3 (d) 4
  7. 7.If 5x + 3 = 4x + 5, what is x? (a) 3 (b) 8 (c) 4 (d) 2
  8. 8.If 2x + 19 = 37, what is x? (a) 9 (b) 18 (c) 10 (d) 28
  9. 9.If 2x + 28 = 32, what is x? (a) 2 (b) 30 (c) 4 (d) 3
  10. 10.If 7x + 7 = 84, what is x? (a) 12 (b) 77 (c) 11 (d) 13
  11. 11.If 9x + 6 = 60, what is x? (a) 7 (b) 6 (c) 54 (d) 5
  12. 12.If 6x + 1 = 2x + 33, what is x? (a) 9 (b) 8 (c) 4 (d) 10
  13. 13.If 9x + 17 = 3x + 83, what is x? (a) 12 (b) 13 (c) 10 (d) 11
  14. 14.If x/2 + 11 = 18, what is x? (a) 7 (b) 25 (c) 14 (d) 58
  15. 15.If x/6 + 14 = 19, what is x? (a) 100 (b) 5 (c) 198 (d) 30
  16. 16.If x/2 + 2 = 6, what is x? (a) 4 (b) 10 (c) 16 (d) 8
  17. 17.If x/5 + 3 = 8, what is x? (a) 55 (b) 37 (c) 25 (d) 5
  18. 18.If x/3 + 10 = 18, what is x? (a) 44 (b) 24 (c) 8 (d) 84
  19. 19.If 6x + 4 = 82, what is x? (a) 78 (b) 13 (c) 12 (d) 14
  20. 20.If 2x − 2 = 18, what is x? (a) 8 (b) 11 (c) 10 (d) 20
  21. 21.If 4x + 4 = 44, what is x? (a) 11 (b) 12 (c) 10 (d) 40
  22. 22.If 7x + 6 = 55, what is x? (a) 8 (b) 7 (c) 6 (d) 49
  23. 23.If 2x + 13 = 23, what is x? (a) 10 (b) 18 (c) 5 (d) 6
  24. 24.If 7x − 27 = 15, what is x? (a) 5 (b) 42 (c) 6 (d) 7
  25. 25.If x/3 + 13 = 25, what is x? (a) 12 (b) 62 (c) 114 (d) 36
  26. 26.If x/6 + 4 = 12, what is x? (a) 96 (b) 48 (c) 68 (d) 8
  27. 27.If 8x + 14 = 38, what is x? (a) 2 (b) 3 (c) 24 (d) 4
  28. 28.If x/3 + 2 = 5, what is x? (a) 21 (b) 9 (c) 3 (d) 13
  29. 29.If 4x + 2 = x + 29, what is x? (a) 10 (b) 11 (c) 9 (d) 8
  30. 30.If x/4 + 12 = 17, what is x? (a) 5 (b) 56 (c) 116 (d) 20
  31. 31.If 6x + 9 = 3x + 45, what is x? (a) 18 (b) 4 (c) 13 (d) 12
  32. 32.If 9x + 24 = 78, what is x? (a) 6 (b) 5 (c) 54 (d) 7
  33. 33.If 4x − 38 = 2, what is x? (a) 11 (b) 9 (c) 10 (d) 40
  34. 34.If 4x − 2 = 22, what is x? (a) 5 (b) 7 (c) 6 (d) 24
  35. 35.If 2x − 21 = 5, what is x? (a) 14 (b) 12 (c) 13 (d) 26
  36. 36.If 7x + 16 = 121, what is x? (a) 105 (b) 14 (c) 15 (d) 16
  37. 37.If 4x − 6 = 22, what is x? (a) 28 (b) 7 (c) 4 (d) 8
  38. 38.If 2x + 18 = 26, what is x? (a) 5 (b) 8 (c) 4 (d) 22
  39. 39.If x/6 + 14 = 22, what is x? (a) 118 (b) 48 (c) 216 (d) 8
  40. 40.If x/6 + 15 = 27, what is x? (a) 72 (b) 12 (c) 252 (d) 147

Answer key

  1. 48
  2. 18
  3. 6
  4. 9
  5. 24
  6. 4
  7. 2
  8. 9
  9. 2
  10. 11
  11. 6
  12. 8
  13. 11
  14. 14
  15. 30
  16. 8
  17. 25
  18. 24
  19. 13
  20. 10
  21. 10
  22. 7
  23. 5
  24. 6
  25. 36
  26. 48
  27. 3
  28. 9
  29. 9
  30. 20
  31. 12
  32. 6
  33. 10
  34. 6
  35. 13
  36. 15
  37. 7
  38. 4
  39. 48
  40. 72

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