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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 922 · 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 + 30 = 45, what is x? (a) 25 (b) 15 (c) 6 (d) 5
  2. 2.If 3x + 15 = x + 23, what is x? (a) 19 (b) 2 (c) 5 (d) 4
  3. 3.If 6x − 19 = 11, what is x? (a) 5 (b) 4 (c) 30 (d) 6
  4. 4.If 4x + 6 = 26, what is x? (a) 8 (b) 5 (c) 20 (d) 6
  5. 5.If 7x + 3 = x + 9, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  6. 6.If x/2 + 3 = 7, what is x? (a) 8 (b) 4 (c) 11 (d) 20
  7. 7.If 4x + 2 = x + 20, what is x? (a) 5 (b) 7 (c) 8 (d) 6
  8. 8.If x/3 + 12 = 21, what is x? (a) 9 (b) 27 (c) 51 (d) 99
  9. 9.If 4x + 5 = 2x + 29, what is x? (a) 17 (b) 12 (c) 13 (d) 4
  10. 10.If 5x − 36 = 39, what is x? (a) 14 (b) 16 (c) 75 (d) 15
  11. 11.If 7x + 5 = 96, what is x? (a) 14 (b) 91 (c) 12 (d) 13
  12. 12.If x/5 + 10 = 14, what is x? (a) 4 (b) 120 (c) 60 (d) 20
  13. 13.If 4x + 3 = 3x + 12, what is x? (a) 9 (b) 11 (c) 10 (d) 15
  14. 14.If 4x + 14 = 30, what is x? (a) 16 (b) 11 (c) 5 (d) 4
  15. 15.If 9x + 16 = 88, what is x? (a) 72 (b) 8 (c) 9 (d) 7
  16. 16.If 3x + 17 = 47, what is x? (a) 11 (b) 30 (c) 9 (d) 10
  17. 17.If 5x + 10 = 3x + 30, what is x? (a) 11 (b) 10 (c) 20 (d) 12
  18. 18.If 3x − 11 = 34, what is x? (a) 14 (b) 16 (c) 15 (d) 45
  19. 19.If 6x + 26 = 80, what is x? (a) 10 (b) 54 (c) 8 (d) 9
  20. 20.If 9x + 8 = 134, what is x? (a) 13 (b) 14 (c) 15 (d) 126
  21. 21.If 9x − 55 = 53, what is x? (a) 13 (b) 11 (c) 108 (d) 12
  22. 22.If 3x − 1 = 8, what is x? (a) 2 (b) 3 (c) 4 (d) 9
  23. 23.If 7x + 3 = 2x + 43, what is x? (a) 8 (b) 10 (c) 9 (d) 7
  24. 24.If x/3 + 12 = 19, what is x? (a) 21 (b) 7 (c) 93 (d) 45
  25. 25.If 6x − 11 = 43, what is x? (a) 8 (b) 54 (c) 9 (d) 10
  26. 26.If 5x + 16 = 3x + 18, what is x? (a) 2 (b) 1 (c) 17 (d) 3
  27. 27.If 3x + 8 = 2x + 10, what is x? (a) 18 (b) 4 (c) 3 (d) 2
  28. 28.If 6x − 28 = 14, what is x? (a) 6 (b) 8 (c) 7 (d) 42
  29. 29.If 2x + 11 = 29, what is x? (a) 18 (b) 10 (c) 20 (d) 9
  30. 30.If 5x + 14 = 4x + 25, what is x? (a) 11 (b) 39 (c) 12 (d) 13
  31. 31.If 8x + 20 = 68, what is x? (a) 7 (b) 48 (c) 11 (d) 6
  32. 32.If 7x − 53 = 52, what is x? (a) 105 (b) 14 (c) 15 (d) 16
  33. 33.If x/6 + 10 = 22, what is x? (a) 12 (b) 192 (c) 72 (d) 122
  34. 34.If 7x + 7 = 49, what is x? (a) 42 (b) 6 (c) 8 (d) 7
  35. 35.If 9x + 2 = 8x + 3, what is x? (a) 5 (b) 1 (c) 3 (d) 2
  36. 36.If 7x + 8 = x + 26, what is x? (a) 4 (b) 2 (c) 5 (d) 3
  37. 37.If 7x − 27 = 43, what is x? (a) 9 (b) 10 (c) 70 (d) 11
  38. 38.If 4x + 24 = 60, what is x? (a) 9 (b) 10 (c) 36 (d) 21
  39. 39.If 2x + 6 = 16, what is x? (a) 10 (b) 5 (c) 11 (d) 6
  40. 40.If 2x + 22 = 44, what is x? (a) 12 (b) 11 (c) 33 (d) 22

Answer key

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

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