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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 994 · 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 6x + 6 = 66, what is x? (a) 12 (b) 10 (c) 11 (d) 60
  2. 2.If 5x + 14 = 49, what is x? (a) 6 (b) 35 (c) 8 (d) 7
  3. 3.If 7x + 28 = 70, what is x? (a) 42 (b) 6 (c) 14 (d) 7
  4. 4.If x/3 + 9 = 11, what is x? (a) 24 (b) 60 (c) 6 (d) 2
  5. 5.If 8x − 68 = 52, what is x? (a) 14 (b) 120 (c) 16 (d) 15
  6. 6.If 3x − 9 = 24, what is x? (a) 33 (b) 12 (c) 11 (d) 5
  7. 7.If 3x + 11 = 2x + 19, what is x? (a) 10 (b) 8 (c) 30 (d) 9
  8. 8.If 7x + 5 = 68, what is x? (a) 9 (b) 63 (c) 8 (d) 10
  9. 9.If 2x + 27 = 49, what is x? (a) 38 (b) 22 (c) 11 (d) 12
  10. 10.If 7x + 7 = 5x + 25, what is x? (a) 9 (b) 11 (c) 16 (d) 10
  11. 11.If 6x + 29 = 65, what is x? (a) 7 (b) 6 (c) 5 (d) 36
  12. 12.If 7x + 4 = 2x + 34, what is x? (a) 8 (b) 5 (c) 6 (d) 7
  13. 13.If 5x + 21 = 71, what is x? (a) 50 (b) 11 (c) 9 (d) 10
  14. 14.If 2x + 7 = 35, what is x? (a) 28 (b) 21 (c) 15 (d) 14
  15. 15.If 2x + 22 = 36, what is x? (a) 8 (b) 7 (c) 29 (d) 14
  16. 16.If 8x + 17 = 121, what is x? (a) 14 (b) 12 (c) 13 (d) 104
  17. 17.If 9x + 2 = 4x + 17, what is x? (a) 5 (b) 2 (c) 4 (d) 3
  18. 18.If 4x + 2 = x + 11, what is x? (a) 4 (b) 5 (c) 3 (d) 2
  19. 19.If 5x − 8 = 7, what is x? (a) 15 (b) 4 (c) 2 (d) 3
  20. 20.If 9x + 11 = 101, what is x? (a) 11 (b) 90 (c) 10 (d) 9
  21. 21.If 8x + 6 = 22, what is x? (a) 16 (b) 2 (c) 1 (d) 3
  22. 22.If 5x + 5 = x + 53, what is x? (a) 8 (b) 14 (c) 13 (d) 12
  23. 23.If 2x + 4 = 32, what is x? (a) 15 (b) 14 (c) 28 (d) 18
  24. 24.If 6x + 20 = x + 25, what is x? (a) 2 (b) 9 (c) 1 (d) 3
  25. 25.If 8x + 15 = 127, what is x? (a) 112 (b) 15 (c) 13 (d) 14
  26. 26.If 3x − 31 = 8, what is x? (a) 12 (b) 13 (c) 39 (d) 14
  27. 27.If 8x + 25 = 81, what is x? (a) 7 (b) 6 (c) 8 (d) 56
  28. 28.If 5x + 13 = 3x + 35, what is x? (a) 12 (b) 13 (c) 11 (d) 24
  29. 29.If 5x + 24 = 79, what is x? (a) 12 (b) 11 (c) 10 (d) 55
  30. 30.If x/2 + 5 = 13, what is x? (a) 36 (b) 21 (c) 8 (d) 16
  31. 31.If x/3 + 12 = 22, what is x? (a) 30 (b) 10 (c) 54 (d) 102
  32. 32.If 8x − 19 = 5, what is x? (a) 4 (b) 2 (c) 3 (d) 24
  33. 33.If x/5 + 8 = 16, what is x? (a) 72 (b) 120 (c) 40 (d) 8
  34. 34.If 6x + 6 = 5x + 11, what is x? (a) 17 (b) 5 (c) 7 (d) 6
  35. 35.If 5x − 34 = 6, what is x? (a) 7 (b) 9 (c) 40 (d) 8
  36. 36.If 4x − 14 = 10, what is x? (a) 7 (b) 5 (c) 24 (d) 6
  37. 37.If 6x + 27 = 105, what is x? (a) 14 (b) 22 (c) 78 (d) 13
  38. 38.If 6x − 55 = 17, what is x? (a) 12 (b) 72 (c) 11 (d) 13
  39. 39.If 7x + 28 = 56, what is x? (a) 4 (b) 5 (c) 12 (d) 28
  40. 40.If x/6 + 13 = 16, what is x? (a) 174 (b) 18 (c) 83 (d) 3

Answer key

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

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