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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 995 · 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 4x + 7 = 35, what is x? (a) 8 (b) 7 (c) 6 (d) 28
  2. 2.If x/5 + 6 = 9, what is x? (a) 3 (b) 39 (c) 15 (d) 75
  3. 3.If x/2 + 14 = 22, what is x? (a) 30 (b) 8 (c) 72 (d) 16
  4. 4.If 6x + 27 = 51, what is x? (a) 24 (b) 13 (c) 5 (d) 4
  5. 5.If 9x + 13 = 130, what is x? (a) 13 (b) 117 (c) 12 (d) 14
  6. 6.If 8x − 10 = 6, what is x? (a) 2 (b) 1 (c) 16 (d) 3
  7. 7.If 7x + 8 = x + 26, what is x? (a) 5 (b) 2 (c) 3 (d) 4
  8. 8.If 3x − 1 = 20, what is x? (a) 6 (b) 21 (c) 7 (d) 8
  9. 9.If 8x − 89 = 31, what is x? (a) 120 (b) 15 (c) 14 (d) 16
  10. 10.If 7x + 8 = 57, what is x? (a) 49 (b) 8 (c) 6 (d) 7
  11. 11.If 6x + 13 = 43, what is x? (a) 5 (b) 4 (c) 6 (d) 30
  12. 12.If x/3 + 10 = 14, what is x? (a) 4 (b) 72 (c) 32 (d) 12
  13. 13.If 6x − 15 = 51, what is x? (a) 11 (b) 66 (c) 12 (d) 6
  14. 14.If x/4 + 2 = 5, what is x? (a) 28 (b) 12 (c) 3 (d) 18
  15. 15.If 3x + 27 = 45, what is x? (a) 18 (b) 6 (c) 7 (d) 24
  16. 16.If x/2 + 1 = 6, what is x? (a) 5 (b) 11 (c) 14 (d) 10
  17. 17.If 2x − 14 = 6, what is x? (a) 20 (b) 9 (c) 11 (d) 10
  18. 18.If 6x + 2 = 44, what is x? (a) 7 (b) 42 (c) 6 (d) 8
  19. 19.If 4x + 2 = 50, what is x? (a) 11 (b) 13 (c) 12 (d) 48
  20. 20.If 7x − 11 = 3, what is x? (a) 14 (b) 1 (c) 3 (d) 2
  21. 21.If 3x + 10 = x + 32, what is x? (a) 11 (b) 21 (c) 12 (d) 13
  22. 22.If 3x + 17 = 2x + 25, what is x? (a) 9 (b) 42 (c) 10 (d) 8
  23. 23.If 4x + 9 = x + 24, what is x? (a) 11 (b) 3 (c) 5 (d) 6
  24. 24.If 9x − 64 = 71, what is x? (a) 16 (b) 135 (c) 15 (d) 14
  25. 25.If x/6 + 2 = 4, what is x? (a) 2 (b) 22 (c) 36 (d) 12
  26. 26.If 4x − 4 = 28, what is x? (a) 32 (b) 8 (c) 6 (d) 9
  27. 27.If x/2 + 10 = 22, what is x? (a) 12 (b) 24 (c) 64 (d) 34
  28. 28.If 9x + 13 = 3x + 73, what is x? (a) 10 (b) 12 (c) 5 (d) 11
  29. 29.If 2x − 16 = 8, what is x? (a) 11 (b) 24 (c) 13 (d) 12
  30. 30.If x/3 + 7 = 16, what is x? (a) 9 (b) 41 (c) 27 (d) 69
  31. 31.If 2x + 25 = 29, what is x? (a) 4 (b) 3 (c) 2 (d) 27
  32. 32.If 2x + 2 = 6, what is x? (a) 2 (b) 1 (c) 3 (d) 4
  33. 33.If 8x + 1 = 17, what is x? (a) 2 (b) 3 (c) 1 (d) 16
  34. 34.If x/3 + 1 = 10, what is x? (a) 29 (b) 33 (c) 9 (d) 27
  35. 35.If x/5 + 4 = 14, what is x? (a) 50 (b) 66 (c) 10 (d) 90
  36. 36.If 9x + 6 = 78, what is x? (a) 72 (b) 8 (c) 9 (d) 7
  37. 37.If x/3 + 10 = 18, what is x? (a) 44 (b) 24 (c) 84 (d) 8
  38. 38.If x/6 + 11 = 14, what is x? (a) 3 (b) 73 (c) 150 (d) 18
  39. 39.If 7x − 16 = 75, what is x? (a) 13 (b) 12 (c) 14 (d) 91
  40. 40.If 4x + 8 = 3x + 17, what is x? (a) 10 (b) 25 (c) 11 (d) 9

Answer key

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

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