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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 954 · 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 7x + 11 = 81, what is x? (a) 9 (b) 11 (c) 70 (d) 10
  2. 2.If 4x + 25 = 81, what is x? (a) 15 (b) 13 (c) 14 (d) 56
  3. 3.If x/5 + 6 = 11, what is x? (a) 25 (b) 85 (c) 49 (d) 5
  4. 4.If 3x + 22 = 31, what is x? (a) 4 (b) 2 (c) 9 (d) 3
  5. 5.If x/6 + 10 = 19, what is x? (a) 54 (b) 9 (c) 174 (d) 104
  6. 6.If 8x + 15 = 7x + 16, what is x? (a) 2 (b) 1 (c) 3 (d) 31
  7. 7.If 5x − 37 = 38, what is x? (a) 14 (b) 16 (c) 75 (d) 15
  8. 8.If 9x + 17 = x + 73, what is x? (a) 6 (b) 9 (c) 8 (d) 7
  9. 9.If 2x − 23 = 5, what is x? (a) 28 (b) 13 (c) 15 (d) 14
  10. 10.If 2x + 29 = 47, what is x? (a) 38 (b) 10 (c) 18 (d) 9
  11. 11.If x/5 + 6 = 17, what is x? (a) 11 (b) 79 (c) 115 (d) 55
  12. 12.If 2x − 2 = 4, what is x? (a) 3 (b) 4 (c) 6 (d) 1
  13. 13.If x/6 + 3 = 8, what is x? (a) 45 (b) 5 (c) 66 (d) 30
  14. 14.If x/6 + 12 = 15, what is x? (a) 18 (b) 78 (c) 162 (d) 3
  15. 15.If 3x + 7 = 13, what is x? (a) 3 (b) 6 (c) 1 (d) 2
  16. 16.If x/6 + 11 = 19, what is x? (a) 180 (b) 48 (c) 103 (d) 8
  17. 17.If 8x + 17 = x + 45, what is x? (a) 3 (b) 4 (c) 6 (d) 5
  18. 18.If 5x + 6 = 2x + 21, what is x? (a) 7 (b) 9 (c) 5 (d) 6
  19. 19.If 3x − 17 = 28, what is x? (a) 16 (b) 15 (c) 14 (d) 45
  20. 20.If 5x + 2 = x + 14, what is x? (a) 2 (b) 5 (c) 3 (d) 4
  21. 21.If x/2 + 10 = 21, what is x? (a) 62 (b) 32 (c) 11 (d) 22
  22. 22.If 2x + 29 = 49, what is x? (a) 20 (b) 39 (c) 11 (d) 10
  23. 23.If 3x + 9 = x + 33, what is x? (a) 6 (b) 13 (c) 21 (d) 12
  24. 24.If 5x + 18 = 2x + 54, what is x? (a) 24 (b) 13 (c) 12 (d) 14
  25. 25.If 5x − 42 = 13, what is x? (a) 55 (b) 11 (c) 10 (d) 12
  26. 26.If 4x + 1 = 3x + 13, what is x? (a) 14 (b) 11 (c) 13 (d) 12
  27. 27.If 5x + 7 = 2x + 37, what is x? (a) 9 (b) 11 (c) 10 (d) 12
  28. 28.If 9x − 2 = 61, what is x? (a) 8 (b) 63 (c) 7 (d) 6
  29. 29.If 3x + 15 = 2x + 20, what is x? (a) 6 (b) 5 (c) 1 (d) 35
  30. 30.If 9x + 3 = 8x + 12, what is x? (a) 15 (b) 11 (c) 9 (d) 10
  31. 31.If x/2 + 4 = 11, what is x? (a) 14 (b) 18 (c) 7 (d) 30
  32. 32.If 3x + 23 = 56, what is x? (a) 12 (b) 33 (c) 11 (d) 10
  33. 33.If 7x + 5 = 19, what is x? (a) 3 (b) 1 (c) 14 (d) 2
  34. 34.If 7x + 15 = x + 75, what is x? (a) 15 (b) 12 (c) 11 (d) 10
  35. 35.If 5x + 7 = 4x + 16, what is x? (a) 10 (b) 9 (c) 1 (d) 23
  36. 36.If 6x + 8 = x + 48, what is x? (a) 9 (b) 10 (c) 7 (d) 8
  37. 37.If 9x + 8 = 6x + 17, what is x? (a) 3 (b) 5 (c) 4 (d) 2
  38. 38.If 5x + 15 = 60, what is x? (a) 15 (b) 45 (c) 10 (d) 9
  39. 39.If 5x + 19 = 89, what is x? (a) 14 (b) 13 (c) 70 (d) 15
  40. 40.If x/2 + 7 = 9, what is x? (a) 2 (b) 32 (c) 4 (d) 11

Answer key

  1. 10
  2. 14
  3. 25
  4. 3
  5. 54
  6. 1
  7. 15
  8. 7
  9. 14
  10. 9
  11. 55
  12. 3
  13. 30
  14. 18
  15. 2
  16. 48
  17. 4
  18. 5
  19. 15
  20. 3
  21. 22
  22. 10
  23. 12
  24. 12
  25. 11
  26. 12
  27. 10
  28. 7
  29. 5
  30. 9
  31. 14
  32. 11
  33. 2
  34. 10
  35. 9
  36. 8
  37. 3
  38. 9
  39. 14
  40. 4

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