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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 855 · 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 + 9 = 12, what is x? (a) 15 (b) 51 (c) 105 (d) 3
  2. 2.If 9x + 12 = 129, what is x? (a) 12 (b) 13 (c) 117 (d) 14
  3. 3.If 5x − 28 = 47, what is x? (a) 15 (b) 14 (c) 16 (d) 75
  4. 4.If x/5 + 14 = 17, what is x? (a) 3 (b) 155 (c) 15 (d) 71
  5. 5.If x/5 + 5 = 15, what is x? (a) 50 (b) 100 (c) 70 (d) 10
  6. 6.If x/3 + 8 = 19, what is x? (a) 81 (b) 49 (c) 11 (d) 33
  7. 7.If 6x + 14 = 3x + 26, what is x? (a) 5 (b) 6 (c) 3 (d) 4
  8. 8.If 7x + 16 = 37, what is x? (a) 3 (b) 21 (c) 2 (d) 4
  9. 9.If 4x + 4 = 3x + 8, what is x? (a) 4 (b) 12 (c) 6 (d) 5
  10. 10.If 6x − 24 = 6, what is x? (a) 4 (b) 5 (c) 30 (d) 6
  11. 11.If x/4 + 2 = 5, what is x? (a) 28 (b) 18 (c) 12 (d) 3
  12. 12.If 4x + 16 = 3x + 26, what is x? (a) 12 (b) 10 (c) 42 (d) 11
  13. 13.If x/4 + 7 = 14, what is x? (a) 28 (b) 84 (c) 7 (d) 49
  14. 14.If 6x + 24 = 54, what is x? (a) 5 (b) 30 (c) 6 (d) 13
  15. 15.If 9x + 14 = 5x + 30, what is x? (a) 4 (b) 5 (c) 6 (d) 11
  16. 16.If 9x + 17 = 80, what is x? (a) 63 (b) 8 (c) 6 (d) 7
  17. 17.If 8x − 16 = 8, what is x? (a) 4 (b) 3 (c) 24 (d) 2
  18. 18.If 8x − 90 = 30, what is x? (a) 14 (b) 15 (c) 16 (d) 120
  19. 19.If 7x − 51 = 54, what is x? (a) 14 (b) 105 (c) 15 (d) 16
  20. 20.If 3x + 29 = 41, what is x? (a) 5 (b) 3 (c) 12 (d) 4
  21. 21.If 4x − 17 = 43, what is x? (a) 14 (b) 60 (c) 15 (d) 16
  22. 22.If x/4 + 5 = 7, what is x? (a) 48 (b) 23 (c) 8 (d) 2
  23. 23.If 2x − 7 = 3, what is x? (a) 4 (b) 6 (c) 10 (d) 5
  24. 24.If 2x − 7 = 5, what is x? (a) 7 (b) 6 (c) 12 (d) 5
  25. 25.If 4x + 3 = x + 18, what is x? (a) 5 (b) 7 (c) 6 (d) 3
  26. 26.If 9x − 13 = 23, what is x? (a) 5 (b) 36 (c) 4 (d) 3
  27. 27.If 2x + 28 = 34, what is x? (a) 31 (b) 3 (c) 6 (d) 4
  28. 28.If x/3 + 14 = 23, what is x? (a) 9 (b) 55 (c) 27 (d) 111
  29. 29.If 4x + 19 = 31, what is x? (a) 4 (b) 3 (c) 2 (d) 12
  30. 30.If 5x + 8 = 48, what is x? (a) 8 (b) 9 (c) 40 (d) 7
  31. 31.If 4x + 12 = x + 39, what is x? (a) 10 (b) 11 (c) 17 (d) 9
  32. 32.If 6x − 6 = 78, what is x? (a) 84 (b) 14 (c) 12 (d) 15
  33. 33.If x/4 + 3 = 8, what is x? (a) 5 (b) 44 (c) 20 (d) 29
  34. 34.If x/6 + 14 = 21, what is x? (a) 210 (b) 7 (c) 112 (d) 42
  35. 35.If 3x − 2 = 16, what is x? (a) 5 (b) 7 (c) 18 (d) 6
  36. 36.If 3x − 6 = 21, what is x? (a) 9 (b) 27 (c) 5 (d) 10
  37. 37.If 4x + 2 = 34, what is x? (a) 32 (b) 9 (c) 7 (d) 8
  38. 38.If 2x + 2 = 18, what is x? (a) 10 (b) 16 (c) 9 (d) 8
  39. 39.If 7x − 70 = 7, what is x? (a) 77 (b) 10 (c) 12 (d) 11
  40. 40.If 4x − 13 = 23, what is x? (a) 36 (b) 9 (c) 10 (d) 8

Answer key

  1. 15
  2. 13
  3. 15
  4. 15
  5. 50
  6. 33
  7. 4
  8. 3
  9. 4
  10. 5
  11. 12
  12. 10
  13. 28
  14. 5
  15. 4
  16. 7
  17. 3
  18. 15
  19. 15
  20. 4
  21. 15
  22. 8
  23. 5
  24. 6
  25. 5
  26. 4
  27. 3
  28. 27
  29. 3
  30. 8
  31. 9
  32. 14
  33. 20
  34. 42
  35. 6
  36. 9
  37. 8
  38. 8
  39. 11
  40. 9

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