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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 950 · 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 x/5 + 1 = 6, what is x? (a) 5 (b) 25 (c) 29 (d) 35
  2. 2.If 3x + 23 = 59, what is x? (a) 12 (b) 11 (c) 36 (d) 13
  3. 3.If 3x − 21 = 6, what is x? (a) 27 (b) 10 (c) 8 (d) 9
  4. 4.If 2x − 1 = 7, what is x? (a) 8 (b) 5 (c) 4 (d) 3
  5. 5.If 3x + 3 = x + 23, what is x? (a) 11 (b) 10 (c) 13 (d) 5
  6. 6.If 8x + 23 = 39, what is x? (a) 2 (b) 3 (c) 1 (d) 16
  7. 7.If x/6 + 14 = 25, what is x? (a) 136 (b) 234 (c) 11 (d) 66
  8. 8.If 2x − 9 = 13, what is x? (a) 22 (b) 12 (c) 2 (d) 11
  9. 9.If 3x + 8 = x + 10, what is x? (a) 9 (b) 2 (c) 1 (d) 3
  10. 10.If 4x − 5 = 43, what is x? (a) 12 (b) 48 (c) 13 (d) 11
  11. 11.If x/5 + 1 = 4, what is x? (a) 25 (b) 15 (c) 19 (d) 3
  12. 12.If x/2 + 9 = 15, what is x? (a) 12 (b) 21 (c) 48 (d) 6
  13. 13.If 2x − 14 = 12, what is x? (a) 13 (b) 14 (c) 12 (d) 26
  14. 14.If 2x + 16 = 32, what is x? (a) 8 (b) 24 (c) 9 (d) 16
  15. 15.If x/3 + 9 = 18, what is x? (a) 27 (b) 45 (c) 9 (d) 81
  16. 16.If 8x + 20 = 5x + 29, what is x? (a) 5 (b) 3 (c) 2 (d) 4
  17. 17.If x/6 + 10 = 18, what is x? (a) 48 (b) 168 (c) 98 (d) 8
  18. 18.If 6x − 2 = 10, what is x? (a) 2 (b) 12 (c) 3 (d) 1
  19. 19.If 3x + 11 = 2x + 16, what is x? (a) 6 (b) 27 (c) 1 (d) 5
  20. 20.If 9x + 2 = 2x + 86, what is x? (a) 14 (b) 12 (c) 11 (d) 13
  21. 21.If 4x − 2 = 22, what is x? (a) 7 (b) 24 (c) 6 (d) 5
  22. 22.If 3x + 6 = x + 8, what is x? (a) 1 (b) 3 (c) 2 (d) 7
  23. 23.If x/4 + 13 = 22, what is x? (a) 36 (b) 9 (c) 140 (d) 75
  24. 24.If x/3 + 8 = 15, what is x? (a) 37 (b) 7 (c) 69 (d) 21
  25. 25.If 3x + 3 = x + 19, what is x? (a) 4 (b) 8 (c) 9 (d) 11
  26. 26.If 9x + 6 = 5x + 18, what is x? (a) 3 (b) 6 (c) 4 (d) 5
  27. 27.If 4x − 1 = 27, what is x? (a) 28 (b) 6 (c) 7 (d) 8
  28. 28.If 6x + 5 = x + 55, what is x? (a) 12 (b) 10 (c) 9 (d) 11
  29. 29.If 8x + 8 = 128, what is x? (a) 16 (b) 120 (c) 15 (d) 17
  30. 30.If 2x + 30 = 44, what is x? (a) 8 (b) 7 (c) 14 (d) 37
  31. 31.If 5x + 22 = 77, what is x? (a) 11 (b) 12 (c) 10 (d) 55
  32. 32.If 2x + 1 = 31, what is x? (a) 15 (b) 16 (c) 30 (d) 14
  33. 33.If 5x + 14 = x + 58, what is x? (a) 18 (b) 13 (c) 12 (d) 11
  34. 34.If 9x + 30 = 111, what is x? (a) 81 (b) 10 (c) 8 (d) 9
  35. 35.If 5x + 2 = 2x + 29, what is x? (a) 10 (b) 9 (c) 8 (d) 11
  36. 36.If 8x + 26 = 42, what is x? (a) 1 (b) 16 (c) 3 (d) 2
  37. 37.If 3x + 19 = x + 41, what is x? (a) 12 (b) 11 (c) 30 (d) 13
  38. 38.If 7x + 14 = 56, what is x? (a) 10 (b) 7 (c) 42 (d) 6
  39. 39.If 3x − 37 = 8, what is x? (a) 15 (b) 16 (c) 14 (d) 45
  40. 40.If x/4 + 8 = 13, what is x? (a) 5 (b) 84 (c) 20 (d) 44

Answer key

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

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