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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 909 · 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 6x − 3 = 63, what is x? (a) 10 (b) 12 (c) 11 (d) 66
  2. 2.If x/4 + 10 = 20, what is x? (a) 70 (b) 10 (c) 120 (d) 40
  3. 3.If 4x + 3 = 3x + 13, what is x? (a) 10 (b) 12 (c) 16 (d) 11
  4. 4.If 7x + 23 = 93, what is x? (a) 11 (b) 10 (c) 9 (d) 70
  5. 5.If 9x − 70 = 11, what is x? (a) 8 (b) 81 (c) 9 (d) 10
  6. 6.If 2x + 27 = 53, what is x? (a) 26 (b) 40 (c) 13 (d) 14
  7. 7.If 4x + 8 = 3x + 13, what is x? (a) 21 (b) 7 (c) 6 (d) 5
  8. 8.If 4x + 10 = 70, what is x? (a) 20 (b) 16 (c) 15 (d) 60
  9. 9.If 8x + 5 = 29, what is x? (a) 24 (b) 3 (c) 2 (d) 4
  10. 10.If 4x + 30 = 42, what is x? (a) 18 (b) 4 (c) 12 (d) 3
  11. 11.If x/6 + 11 = 23, what is x? (a) 204 (b) 127 (c) 72 (d) 12
  12. 12.If x/6 + 5 = 8, what is x? (a) 3 (b) 78 (c) 43 (d) 18
  13. 13.If x/2 + 15 = 17, what is x? (a) 4 (b) 2 (c) 19 (d) 64
  14. 14.If x/2 + 8 = 15, what is x? (a) 22 (b) 7 (c) 14 (d) 46
  15. 15.If 3x + 8 = x + 32, what is x? (a) 13 (b) 12 (c) 20 (d) 6
  16. 16.If x/2 + 8 = 14, what is x? (a) 44 (b) 20 (c) 6 (d) 12
  17. 17.If 6x + 12 = 24, what is x? (a) 3 (b) 6 (c) 12 (d) 2
  18. 18.If 3x − 13 = 2, what is x? (a) 6 (b) 5 (c) 15 (d) 4
  19. 19.If 5x + 24 = 79, what is x? (a) 12 (b) 10 (c) 55 (d) 11
  20. 20.If 5x + 13 = 4x + 22, what is x? (a) 35 (b) 10 (c) 1 (d) 9
  21. 21.If 4x + 17 = 2x + 37, what is x? (a) 12 (b) 27 (c) 11 (d) 10
  22. 22.If 9x + 6 = 6x + 9, what is x? (a) 2 (b) 1 (c) 5 (d) 3
  23. 23.If 6x + 25 = 49, what is x? (a) 5 (b) 24 (c) 3 (d) 4
  24. 24.If 5x + 14 = x + 26, what is x? (a) 3 (b) 4 (c) 10 (d) 2
  25. 25.If x/5 + 3 = 6, what is x? (a) 45 (b) 3 (c) 15 (d) 27
  26. 26.If 3x + 3 = x + 9, what is x? (a) 6 (b) 3 (c) 5 (d) 4
  27. 27.If 7x − 29 = 48, what is x? (a) 12 (b) 77 (c) 11 (d) 10
  28. 28.If x/6 + 9 = 21, what is x? (a) 180 (b) 12 (c) 117 (d) 72
  29. 29.If x/2 + 4 = 11, what is x? (a) 18 (b) 30 (c) 14 (d) 7
  30. 30.If x/5 + 7 = 11, what is x? (a) 48 (b) 20 (c) 4 (d) 90
  31. 31.If 2x − 7 = 17, what is x? (a) 12 (b) 24 (c) 13 (d) 5
  32. 32.If x/2 + 7 = 10, what is x? (a) 34 (b) 6 (c) 13 (d) 3
  33. 33.If x/3 + 5 = 7, what is x? (a) 6 (b) 16 (c) 2 (d) 36
  34. 34.If 5x + 1 = 4x + 5, what is x? (a) 5 (b) 6 (c) 4 (d) 3
  35. 35.If 6x + 9 = 5x + 12, what is x? (a) 4 (b) 21 (c) 3 (d) 5
  36. 36.If 3x − 6 = 18, what is x? (a) 4 (b) 24 (c) 8 (d) 9
  37. 37.If x/5 + 2 = 9, what is x? (a) 7 (b) 43 (c) 35 (d) 55
  38. 38.If x/3 + 1 = 13, what is x? (a) 38 (b) 42 (c) 12 (d) 36
  39. 39.If 4x + 5 = 3x + 6, what is x? (a) 3 (b) 11 (c) 2 (d) 1
  40. 40.If 2x + 25 = 43, what is x? (a) 18 (b) 34 (c) 9 (d) 10

Answer key

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

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