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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 928 · 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 9x + 3 = 8x + 8, what is x? (a) 11 (b) 7 (c) 5 (d) 6
  2. 2.If 5x + 13 = 83, what is x? (a) 14 (b) 15 (c) 13 (d) 70
  3. 3.If 5x + 1 = 46, what is x? (a) 45 (b) 8 (c) 9 (d) 10
  4. 4.If x/6 + 3 = 11, what is x? (a) 84 (b) 63 (c) 48 (d) 8
  5. 5.If x/6 + 3 = 5, what is x? (a) 2 (b) 48 (c) 27 (d) 12
  6. 6.If 3x + 7 = 16, what is x? (a) 2 (b) 3 (c) 9 (d) 4
  7. 7.If x/4 + 7 = 15, what is x? (a) 53 (b) 32 (c) 8 (d) 88
  8. 8.If 8x + 13 = 3x + 33, what is x? (a) 3 (b) 6 (c) 4 (d) 5
  9. 9.If 3x + 7 = 2x + 18, what is x? (a) 13 (b) 25 (c) 12 (d) 11
  10. 10.If 4x − 16 = 24, what is x? (a) 2 (b) 40 (c) 11 (d) 10
  11. 11.If x/3 + 12 = 15, what is x? (a) 81 (b) 33 (c) 3 (d) 9
  12. 12.If 6x + 28 = 118, what is x? (a) 14 (b) 15 (c) 90 (d) 16
  13. 13.If x/6 + 10 = 21, what is x? (a) 186 (b) 116 (c) 11 (d) 66
  14. 14.If 4x + 20 = 72, what is x? (a) 52 (b) 23 (c) 13 (d) 14
  15. 15.If x/4 + 2 = 7, what is x? (a) 5 (b) 20 (c) 26 (d) 36
  16. 16.If 3x + 8 = 2x + 15, what is x? (a) 23 (b) 8 (c) 9 (d) 7
  17. 17.If x/2 + 3 = 10, what is x? (a) 7 (b) 17 (c) 26 (d) 14
  18. 18.If 3x + 14 = 29, what is x? (a) 15 (b) 6 (c) 4 (d) 5
  19. 19.If 3x − 7 = 17, what is x? (a) 7 (b) 8 (c) 9 (d) 24
  20. 20.If x/6 + 2 = 4, what is x? (a) 12 (b) 2 (c) 22 (d) 36
  21. 21.If 5x + 20 = 85, what is x? (a) 13 (b) 65 (c) 14 (d) 21
  22. 22.If x/5 + 8 = 17, what is x? (a) 125 (b) 9 (c) 45 (d) 77
  23. 23.If x/4 + 2 = 11, what is x? (a) 36 (b) 9 (c) 52 (d) 42
  24. 24.If 3x + 20 = 38, what is x? (a) 5 (b) 7 (c) 18 (d) 6
  25. 25.If x/2 + 5 = 15, what is x? (a) 25 (b) 40 (c) 20 (d) 10
  26. 26.If x/2 + 14 = 25, what is x? (a) 11 (b) 36 (c) 22 (d) 78
  27. 27.If x/6 + 1 = 4, what is x? (a) 30 (b) 23 (c) 18 (d) 3
  28. 28.If 3x + 20 = 2x + 30, what is x? (a) 2 (b) 11 (c) 10 (d) 50
  29. 29.If 3x + 12 = 2x + 20, what is x? (a) 8 (b) 32 (c) 9 (d) 10
  30. 30.If 4x + 11 = 3x + 14, what is x? (a) 4 (b) 3 (c) 5 (d) 25
  31. 31.If 9x − 2 = 16, what is x? (a) 18 (b) 2 (c) 1 (d) 3
  32. 32.If x/4 + 12 = 22, what is x? (a) 76 (b) 136 (c) 40 (d) 10
  33. 33.If 9x + 29 = 119, what is x? (a) 10 (b) 11 (c) 90 (d) 9
  34. 34.If x/5 + 2 = 12, what is x? (a) 10 (b) 50 (c) 70 (d) 58
  35. 35.If x/5 + 15 = 18, what is x? (a) 165 (b) 3 (c) 75 (d) 15
  36. 36.If 4x + 2 = 3x + 6, what is x? (a) 8 (b) 6 (c) 4 (d) 5
  37. 37.If 6x + 16 = 94, what is x? (a) 13 (b) 78 (c) 14 (d) 12
  38. 38.If x/6 + 14 = 18, what is x? (a) 192 (b) 94 (c) 4 (d) 24
  39. 39.If 2x + 9 = 25, what is x? (a) 8 (b) 9 (c) 17 (d) 16
  40. 40.If x/2 + 12 = 14, what is x? (a) 2 (b) 16 (c) 52 (d) 4

Answer key

  1. 5
  2. 14
  3. 9
  4. 48
  5. 12
  6. 3
  7. 32
  8. 4
  9. 11
  10. 10
  11. 9
  12. 15
  13. 66
  14. 13
  15. 20
  16. 7
  17. 14
  18. 5
  19. 8
  20. 12
  21. 13
  22. 45
  23. 36
  24. 6
  25. 20
  26. 22
  27. 18
  28. 10
  29. 8
  30. 3
  31. 2
  32. 40
  33. 10
  34. 50
  35. 15
  36. 4
  37. 13
  38. 24
  39. 8
  40. 4

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