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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 912 · 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 + 14 = 3x + 25, what is x? (a) 39 (b) 13 (c) 12 (d) 11
  2. 2.If 3x + 5 = x + 15, what is x? (a) 6 (b) 10 (c) 7 (d) 5
  3. 3.If x/5 + 10 = 19, what is x? (a) 85 (b) 9 (c) 45 (d) 145
  4. 4.If x/2 + 3 = 7, what is x? (a) 20 (b) 4 (c) 8 (d) 11
  5. 5.If 4x + 16 = 24, what is x? (a) 8 (b) 10 (c) 2 (d) 3
  6. 6.If 9x + 10 = 46, what is x? (a) 4 (b) 3 (c) 5 (d) 36
  7. 7.If 9x + 14 = 122, what is x? (a) 108 (b) 12 (c) 13 (d) 11
  8. 8.If x/2 + 11 = 21, what is x? (a) 10 (b) 64 (c) 20 (d) 31
  9. 9.If 7x + 5 = 47, what is x? (a) 6 (b) 7 (c) 42 (d) 5
  10. 10.If 6x − 45 = 3, what is x? (a) 48 (b) 9 (c) 7 (d) 8
  11. 11.If 6x − 53 = 19, what is x? (a) 11 (b) 13 (c) 72 (d) 12
  12. 12.If 9x + 10 = 118, what is x? (a) 11 (b) 12 (c) 108 (d) 13
  13. 13.If 6x + 11 = 35, what is x? (a) 5 (b) 3 (c) 24 (d) 4
  14. 14.If 9x + 29 = 110, what is x? (a) 81 (b) 10 (c) 9 (d) 8
  15. 15.If 6x + 23 = 113, what is x? (a) 14 (b) 16 (c) 15 (d) 90
  16. 16.If 3x + 7 = x + 25, what is x? (a) 9 (b) 11 (c) 16 (d) 10
  17. 17.If 5x + 19 = 49, what is x? (a) 5 (b) 6 (c) 30 (d) 7
  18. 18.If 3x + 9 = 2x + 13, what is x? (a) 5 (b) 22 (c) 4 (d) 6
  19. 19.If 7x − 19 = 9, what is x? (a) 28 (b) 5 (c) 4 (d) 3
  20. 20.If x/4 + 13 = 18, what is x? (a) 59 (b) 124 (c) 20 (d) 5
  21. 21.If 5x + 8 = x + 36, what is x? (a) 9 (b) 7 (c) 11 (d) 8
  22. 22.If 3x − 17 = 10, what is x? (a) 8 (b) 27 (c) 10 (d) 9
  23. 23.If 9x + 7 = 43, what is x? (a) 3 (b) 36 (c) 5 (d) 4
  24. 24.If 3x + 18 = 45, what is x? (a) 27 (b) 10 (c) 21 (d) 9
  25. 25.If 4x + 3 = 3x + 14, what is x? (a) 12 (b) 13 (c) 11 (d) 17
  26. 26.If 2x + 23 = 43, what is x? (a) 11 (b) 33 (c) 10 (d) 20
  27. 27.If 7x + 12 = 82, what is x? (a) 10 (b) 11 (c) 70 (d) 9
  28. 28.If 3x + 15 = x + 27, what is x? (a) 3 (b) 6 (c) 21 (d) 7
  29. 29.If x/4 + 6 = 13, what is x? (a) 7 (b) 76 (c) 46 (d) 28
  30. 30.If 3x + 19 = x + 41, what is x? (a) 12 (b) 11 (c) 13 (d) 30
  31. 31.If 6x + 7 = 73, what is x? (a) 10 (b) 11 (c) 66 (d) 12
  32. 32.If 6x + 26 = 74, what is x? (a) 7 (b) 48 (c) 9 (d) 8
  33. 33.If 7x − 1 = 13, what is x? (a) 1 (b) 14 (c) 3 (d) 2
  34. 34.If 5x + 2 = 3x + 26, what is x? (a) 13 (b) 14 (c) 12 (d) 3
  35. 35.If x/2 + 14 = 21, what is x? (a) 7 (b) 14 (c) 28 (d) 70
  36. 36.If x/3 + 14 = 23, what is x? (a) 9 (b) 27 (c) 111 (d) 55
  37. 37.If x/3 + 3 = 13, what is x? (a) 36 (b) 30 (c) 10 (d) 48
  38. 38.If x/4 + 10 = 20, what is x? (a) 40 (b) 70 (c) 120 (d) 10
  39. 39.If x/2 + 12 = 17, what is x? (a) 58 (b) 22 (c) 10 (d) 5
  40. 40.If 6x − 13 = 5, what is x? (a) 2 (b) 4 (c) 3 (d) 18

Answer key

  1. 11
  2. 5
  3. 45
  4. 8
  5. 2
  6. 4
  7. 12
  8. 20
  9. 6
  10. 8
  11. 12
  12. 12
  13. 4
  14. 9
  15. 15
  16. 9
  17. 6
  18. 4
  19. 4
  20. 20
  21. 7
  22. 9
  23. 4
  24. 9
  25. 11
  26. 10
  27. 10
  28. 6
  29. 28
  30. 11
  31. 11
  32. 8
  33. 2
  34. 12
  35. 14
  36. 27
  37. 30
  38. 40
  39. 10
  40. 3

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