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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 930 · 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 + 14 = 6x + 41, what is x? (a) 10 (b) 9 (c) 11 (d) 8
  2. 2.If 7x + 7 = 5x + 23, what is x? (a) 15 (b) 9 (c) 10 (d) 8
  3. 3.If x/2 + 14 = 18, what is x? (a) 8 (b) 22 (c) 64 (d) 4
  4. 4.If x/5 + 1 = 9, what is x? (a) 50 (b) 8 (c) 44 (d) 40
  5. 5.If x/4 + 4 = 10, what is x? (a) 56 (b) 36 (c) 6 (d) 24
  6. 6.If 2x + 19 = 25, what is x? (a) 22 (b) 3 (c) 4 (d) 6
  7. 7.If 9x + 23 = 131, what is x? (a) 13 (b) 108 (c) 12 (d) 11
  8. 8.If 5x + 14 = 49, what is x? (a) 35 (b) 8 (c) 6 (d) 7
  9. 9.If 4x + 16 = 76, what is x? (a) 15 (b) 16 (c) 60 (d) 23
  10. 10.If 7x + 17 = 5x + 35, what is x? (a) 26 (b) 11 (c) 9 (d) 10
  11. 11.If x/6 + 13 = 16, what is x? (a) 3 (b) 174 (c) 18 (d) 83
  12. 12.If 7x + 21 = 126, what is x? (a) 21 (b) 105 (c) 16 (d) 15
  13. 13.If 9x + 20 = 8x + 25, what is x? (a) 45 (b) 7 (c) 6 (d) 5
  14. 14.If x/3 + 2 = 14, what is x? (a) 40 (b) 12 (c) 48 (d) 36
  15. 15.If 8x − 3 = 85, what is x? (a) 88 (b) 12 (c) 10 (d) 11
  16. 16.If 7x − 9 = 40, what is x? (a) 7 (b) 6 (c) 8 (d) 49
  17. 17.If 7x − 24 = 4, what is x? (a) 4 (b) 28 (c) 3 (d) 5
  18. 18.If 4x + 3 = 2x + 15, what is x? (a) 6 (b) 9 (c) 2 (d) 7
  19. 19.If 8x − 11 = 29, what is x? (a) 5 (b) 6 (c) 4 (d) 40
  20. 20.If 2x + 15 = 23, what is x? (a) 8 (b) 19 (c) 4 (d) 5
  21. 21.If x/3 + 12 = 23, what is x? (a) 57 (b) 105 (c) 33 (d) 11
  22. 22.If 3x − 13 = 23, what is x? (a) 12 (b) 11 (c) 36 (d) 13
  23. 23.If 9x + 30 = 165, what is x? (a) 14 (b) 16 (c) 15 (d) 135
  24. 24.If 4x − 27 = 17, what is x? (a) 10 (b) 12 (c) 44 (d) 11
  25. 25.If 4x − 22 = 6, what is x? (a) 8 (b) 7 (c) 6 (d) 28
  26. 26.If 4x − 13 = 3, what is x? (a) 3 (b) 4 (c) 16 (d) 5
  27. 27.If x/4 + 5 = 10, what is x? (a) 35 (b) 20 (c) 60 (d) 5
  28. 28.If 7x + 4 = 109, what is x? (a) 14 (b) 16 (c) 105 (d) 15
  29. 29.If x/6 + 5 = 17, what is x? (a) 97 (b) 12 (c) 132 (d) 72
  30. 30.If 7x − 42 = 7, what is x? (a) 49 (b) 6 (c) 7 (d) 8
  31. 31.If 2x − 2 = 2, what is x? (a) 3 (b) 1 (c) 4 (d) 2
  32. 32.If 7x + 29 = 127, what is x? (a) 15 (b) 14 (c) 13 (d) 98
  33. 33.If 5x − 4 = 21, what is x? (a) 6 (b) 25 (c) 5 (d) 4
  34. 34.If 9x − 39 = 51, what is x? (a) 90 (b) 11 (c) 10 (d) 9
  35. 35.If 8x + 18 = 66, what is x? (a) 5 (b) 48 (c) 7 (d) 6
  36. 36.If 3x − 5 = 7, what is x? (a) 5 (b) 12 (c) 4 (d) 3
  37. 37.If 9x + 19 = 3x + 37, what is x? (a) 3 (b) 2 (c) 5 (d) 4
  38. 38.If 4x − 6 = 10, what is x? (a) 16 (b) 1 (c) 5 (d) 4
  39. 39.If x/5 + 4 = 15, what is x? (a) 95 (b) 11 (c) 55 (d) 71
  40. 40.If 8x + 17 = 4x + 33, what is x? (a) 3 (b) 4 (c) 5 (d) 6

Answer key

  1. 9
  2. 8
  3. 8
  4. 40
  5. 24
  6. 3
  7. 12
  8. 7
  9. 15
  10. 9
  11. 18
  12. 15
  13. 5
  14. 36
  15. 11
  16. 7
  17. 4
  18. 6
  19. 5
  20. 4
  21. 33
  22. 12
  23. 15
  24. 11
  25. 7
  26. 4
  27. 20
  28. 15
  29. 72
  30. 7
  31. 2
  32. 14
  33. 5
  34. 10
  35. 6
  36. 4
  37. 3
  38. 4
  39. 55
  40. 4

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