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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 907 · 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 8x + 3 = 123, what is x? (a) 120 (b) 16 (c) 14 (d) 15
  2. 2.If 6x − 8 = 46, what is x? (a) 54 (b) 10 (c) 8 (d) 9
  3. 3.If 9x + 13 = 3x + 43, what is x? (a) 6 (b) 5 (c) 4 (d) 7
  4. 4.If 6x + 21 = 87, what is x? (a) 18 (b) 12 (c) 11 (d) 66
  5. 5.If x/6 + 3 = 13, what is x? (a) 75 (b) 96 (c) 60 (d) 10
  6. 6.If 4x + 4 = 48, what is x? (a) 12 (b) 11 (c) 44 (d) 13
  7. 7.If x/4 + 7 = 12, what is x? (a) 41 (b) 76 (c) 20 (d) 5
  8. 8.If 8x + 2 = 106, what is x? (a) 104 (b) 12 (c) 13 (d) 14
  9. 9.If 7x + 6 = 20, what is x? (a) 3 (b) 1 (c) 14 (d) 2
  10. 10.If 2x + 11 = 35, what is x? (a) 13 (b) 24 (c) 23 (d) 12
  11. 11.If 4x + 22 = 58, what is x? (a) 10 (b) 20 (c) 9 (d) 36
  12. 12.If 2x − 5 = 11, what is x? (a) 3 (b) 16 (c) 8 (d) 9
  13. 13.If 6x + 17 = 4x + 29, what is x? (a) 6 (b) 7 (c) 23 (d) 8
  14. 14.If x/6 + 2 = 5, what is x? (a) 28 (b) 3 (c) 42 (d) 18
  15. 15.If 2x − 20 = 10, what is x? (a) 15 (b) 16 (c) 14 (d) 30
  16. 16.If 7x + 5 = 103, what is x? (a) 13 (b) 15 (c) 98 (d) 14
  17. 17.If 8x + 30 = 94, what is x? (a) 7 (b) 8 (c) 64 (d) 9
  18. 18.If 2x + 27 = 37, what is x? (a) 32 (b) 6 (c) 5 (d) 10
  19. 19.If x/5 + 6 = 11, what is x? (a) 5 (b) 85 (c) 25 (d) 49
  20. 20.If 7x + 17 = 4x + 53, what is x? (a) 13 (b) 11 (c) 12 (d) 14
  21. 21.If 5x + 16 = 4x + 22, what is x? (a) 38 (b) 8 (c) 6 (d) 7
  22. 22.If 9x + 5 = 2x + 33, what is x? (a) 5 (b) 6 (c) 3 (d) 4
  23. 23.If 8x − 56 = 56, what is x? (a) 15 (b) 13 (c) 112 (d) 14
  24. 24.If 4x + 15 = x + 33, what is x? (a) 6 (b) 8 (c) 16 (d) 7
  25. 25.If 3x + 3 = 2x + 11, what is x? (a) 8 (b) 14 (c) 9 (d) 10
  26. 26.If x/4 + 12 = 15, what is x? (a) 3 (b) 12 (c) 48 (d) 108
  27. 27.If 8x − 15 = 1, what is x? (a) 16 (b) 1 (c) 2 (d) 3
  28. 28.If 3x + 16 = 2x + 21, what is x? (a) 6 (b) 1 (c) 37 (d) 5
  29. 29.If 7x − 15 = 20, what is x? (a) 35 (b) 6 (c) 5 (d) 4
  30. 30.If x/6 + 1 = 6, what is x? (a) 35 (b) 5 (c) 30 (d) 42
  31. 31.If 8x + 25 = 137, what is x? (a) 15 (b) 112 (c) 14 (d) 13
  32. 32.If 4x + 5 = 3x + 12, what is x? (a) 1 (b) 17 (c) 7 (d) 8
  33. 33.If 8x + 15 = 95, what is x? (a) 9 (b) 80 (c) 11 (d) 10
  34. 34.If 3x + 11 = x + 33, what is x? (a) 13 (b) 11 (c) 22 (d) 12
  35. 35.If 7x + 17 = 4x + 47, what is x? (a) 12 (b) 11 (c) 9 (d) 10
  36. 36.If 9x + 28 = 55, what is x? (a) 4 (b) 27 (c) 3 (d) 2
  37. 37.If 7x + 18 = 3x + 54, what is x? (a) 18 (b) 10 (c) 9 (d) 11
  38. 38.If x/3 + 8 = 19, what is x? (a) 11 (b) 49 (c) 33 (d) 81
  39. 39.If x/5 + 10 = 21, what is x? (a) 11 (b) 95 (c) 155 (d) 55
  40. 40.If 8x + 2 = 7x + 9, what is x? (a) 9 (b) 11 (c) 8 (d) 7

Answer key

  1. 15
  2. 9
  3. 5
  4. 11
  5. 60
  6. 11
  7. 20
  8. 13
  9. 2
  10. 12
  11. 9
  12. 8
  13. 6
  14. 18
  15. 15
  16. 14
  17. 8
  18. 5
  19. 25
  20. 12
  21. 6
  22. 4
  23. 14
  24. 6
  25. 8
  26. 12
  27. 2
  28. 5
  29. 5
  30. 30
  31. 14
  32. 7
  33. 10
  34. 11
  35. 10
  36. 3
  37. 9
  38. 33
  39. 55
  40. 7

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