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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 850 · 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/3 + 1 = 13, what is x? (a) 12 (b) 42 (c) 36 (d) 38
  2. 2.If 3x + 19 = x + 29, what is x? (a) 24 (b) 7 (c) 6 (d) 5
  3. 3.If 4x − 8 = 52, what is x? (a) 60 (b) 16 (c) 11 (d) 15
  4. 4.If 3x + 22 = 49, what is x? (a) 27 (b) 10 (c) 9 (d) 8
  5. 5.If 4x + 8 = 16, what is x? (a) 3 (b) 6 (c) 8 (d) 2
  6. 6.If 3x + 9 = 2x + 20, what is x? (a) 13 (b) 29 (c) 12 (d) 11
  7. 7.If 9x − 18 = 27, what is x? (a) 1 (b) 5 (c) 45 (d) 6
  8. 8.If 7x − 1 = 13, what is x? (a) 1 (b) 14 (c) 2 (d) 3
  9. 9.If 2x + 20 = 42, what is x? (a) 11 (b) 31 (c) 12 (d) 22
  10. 10.If 2x − 23 = 5, what is x? (a) 28 (b) 14 (c) 13 (d) 15
  11. 11.If 6x + 16 = 5x + 23, what is x? (a) 39 (b) 8 (c) 7 (d) 9
  12. 12.If 4x + 5 = 65, what is x? (a) 14 (b) 60 (c) 16 (d) 15
  13. 13.If 6x + 2 = 5x + 4, what is x? (a) 6 (b) 4 (c) 2 (d) 3
  14. 14.If 5x + 8 = 78, what is x? (a) 15 (b) 70 (c) 13 (d) 14
  15. 15.If 4x − 46 = 14, what is x? (a) 15 (b) 14 (c) 16 (d) 60
  16. 16.If x/5 + 4 = 9, what is x? (a) 5 (b) 65 (c) 41 (d) 25
  17. 17.If 3x + 19 = x + 31, what is x? (a) 6 (b) 25 (c) 3 (d) 7
  18. 18.If 6x + 16 = 2x + 64, what is x? (a) 20 (b) 6 (c) 13 (d) 12
  19. 19.If 4x − 31 = 5, what is x? (a) 10 (b) 36 (c) 9 (d) 8
  20. 20.If x/5 + 14 = 18, what is x? (a) 160 (b) 20 (c) 76 (d) 4
  21. 21.If 9x + 26 = 44, what is x? (a) 2 (b) 3 (c) 1 (d) 18
  22. 22.If 9x + 19 = x + 83, what is x? (a) 10 (b) 8 (c) 7 (d) 9
  23. 23.If 6x + 15 = 3x + 45, what is x? (a) 12 (b) 10 (c) 11 (d) 20
  24. 24.If 3x + 13 = 49, what is x? (a) 11 (b) 36 (c) 12 (d) 13
  25. 25.If x/4 + 5 = 9, what is x? (a) 31 (b) 16 (c) 4 (d) 56
  26. 26.If 6x + 6 = 96, what is x? (a) 17 (b) 15 (c) 90 (d) 16
  27. 27.If x/6 + 15 = 22, what is x? (a) 117 (b) 7 (c) 222 (d) 42
  28. 28.If 8x + 1 = 6x + 21, what is x? (a) 12 (b) 10 (c) 9 (d) 11
  29. 29.If 4x + 13 = x + 28, what is x? (a) 5 (b) 7 (c) 6 (d) 3
  30. 30.If x/6 + 10 = 17, what is x? (a) 162 (b) 7 (c) 92 (d) 42
  31. 31.If 2x + 23 = 31, what is x? (a) 8 (b) 27 (c) 5 (d) 4
  32. 32.If 8x + 13 = 2x + 67, what is x? (a) 9 (b) 10 (c) 11 (d) 8
  33. 33.If 3x + 13 = 43, what is x? (a) 9 (b) 30 (c) 11 (d) 10
  34. 34.If 9x − 36 = 18, what is x? (a) 5 (b) 7 (c) 6 (d) 54
  35. 35.If 3x − 2 = 4, what is x? (a) 6 (b) 2 (c) 1 (d) 3
  36. 36.If 3x − 12 = 3, what is x? (a) 4 (b) 6 (c) 15 (d) 5
  37. 37.If 7x − 61 = 30, what is x? (a) 14 (b) 12 (c) 91 (d) 13
  38. 38.If 7x + 5 = 2x + 65, what is x? (a) 13 (b) 14 (c) 11 (d) 12
  39. 39.If x/6 + 4 = 6, what is x? (a) 2 (b) 32 (c) 60 (d) 12
  40. 40.If 4x + 25 = 61, what is x? (a) 10 (b) 36 (c) 8 (d) 9

Answer key

  1. 36
  2. 5
  3. 15
  4. 9
  5. 2
  6. 11
  7. 5
  8. 2
  9. 11
  10. 14
  11. 7
  12. 15
  13. 2
  14. 14
  15. 15
  16. 25
  17. 6
  18. 12
  19. 9
  20. 20
  21. 2
  22. 8
  23. 10
  24. 12
  25. 16
  26. 15
  27. 42
  28. 10
  29. 5
  30. 42
  31. 4
  32. 9
  33. 10
  34. 6
  35. 2
  36. 5
  37. 13
  38. 12
  39. 12
  40. 9

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