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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 917 · 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 − 6 = 36, what is x? (a) 15 (b) 42 (c) 14 (d) 10
  2. 2.If 4x + 19 = 2x + 31, what is x? (a) 25 (b) 7 (c) 6 (d) 2
  3. 3.If 7x + 10 = 3x + 14, what is x? (a) 2 (b) 3 (c) 6 (d) 1
  4. 4.If 9x − 35 = 55, what is x? (a) 11 (b) 10 (c) 9 (d) 90
  5. 5.If x/2 + 6 = 17, what is x? (a) 11 (b) 22 (c) 28 (d) 46
  6. 6.If 8x + 5 = 7x + 8, what is x? (a) 3 (b) 13 (c) 4 (d) 5
  7. 7.If 9x + 5 = 23, what is x? (a) 1 (b) 18 (c) 2 (d) 3
  8. 8.If 5x + 12 = 52, what is x? (a) 9 (b) 40 (c) 7 (d) 8
  9. 9.If x/2 + 3 = 5, what is x? (a) 16 (b) 2 (c) 4 (d) 7
  10. 10.If x/5 + 7 = 11, what is x? (a) 90 (b) 4 (c) 20 (d) 48
  11. 11.If 6x + 1 = 4x + 3, what is x? (a) 1 (b) 3 (c) 4 (d) 2
  12. 12.If 5x + 15 = x + 51, what is x? (a) 9 (b) 10 (c) 6 (d) 11
  13. 13.If 7x + 8 = 22, what is x? (a) 2 (b) 3 (c) 14 (d) 1
  14. 14.If 4x − 4 = 4, what is x? (a) 2 (b) 3 (c) 1 (d) 8
  15. 15.If 9x − 34 = 47, what is x? (a) 8 (b) 10 (c) 9 (d) 81
  16. 16.If 3x + 15 = 45, what is x? (a) 20 (b) 30 (c) 11 (d) 10
  17. 17.If 6x + 5 = 29, what is x? (a) 5 (b) 4 (c) 24 (d) 3
  18. 18.If 2x + 25 = 51, what is x? (a) 26 (b) 14 (c) 38 (d) 13
  19. 19.If 3x − 6 = 39, what is x? (a) 15 (b) 16 (c) 11 (d) 45
  20. 20.If x/2 + 5 = 11, what is x? (a) 6 (b) 17 (c) 32 (d) 12
  21. 21.If 3x + 18 = x + 42, what is x? (a) 30 (b) 13 (c) 6 (d) 12
  22. 22.If 9x + 6 = 141, what is x? (a) 14 (b) 135 (c) 15 (d) 16
  23. 23.If x/3 + 3 = 14, what is x? (a) 51 (b) 33 (c) 39 (d) 11
  24. 24.If 9x − 12 = 69, what is x? (a) 10 (b) 81 (c) 9 (d) 8
  25. 25.If x/3 + 12 = 15, what is x? (a) 81 (b) 33 (c) 3 (d) 9
  26. 26.If x/2 + 3 = 8, what is x? (a) 5 (b) 10 (c) 22 (d) 13
  27. 27.If 2x + 19 = 27, what is x? (a) 8 (b) 4 (c) 5 (d) 23
  28. 28.If 8x − 1 = 63, what is x? (a) 9 (b) 8 (c) 64 (d) 7
  29. 29.If 8x − 65 = 31, what is x? (a) 12 (b) 13 (c) 11 (d) 96
  30. 30.If x/2 + 7 = 10, what is x? (a) 3 (b) 6 (c) 34 (d) 13
  31. 31.If 3x − 6 = 3, what is x? (a) 9 (b) 2 (c) 3 (d) 4
  32. 32.If 3x − 3 = 18, what is x? (a) 5 (b) 21 (c) 7 (d) 8
  33. 33.If x/4 + 13 = 23, what is x? (a) 79 (b) 144 (c) 10 (d) 40
  34. 34.If 5x + 12 = 2x + 33, what is x? (a) 3 (b) 7 (c) 15 (d) 8
  35. 35.If x/6 + 8 = 11, what is x? (a) 58 (b) 114 (c) 3 (d) 18
  36. 36.If x/3 + 2 = 13, what is x? (a) 45 (b) 37 (c) 33 (d) 11
  37. 37.If x/2 + 9 = 18, what is x? (a) 27 (b) 54 (c) 18 (d) 9
  38. 38.If 3x − 17 = 1, what is x? (a) 5 (b) 6 (c) 7 (d) 18
  39. 39.If 3x + 3 = 39, what is x? (a) 36 (b) 13 (c) 12 (d) 14
  40. 40.If 4x − 16 = 24, what is x? (a) 2 (b) 11 (c) 40 (d) 10

Answer key

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

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