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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 933 · 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 4x − 8 = 24, what is x? (a) 8 (b) 9 (c) 4 (d) 32
  2. 2.If 9x + 2 = 6x + 32, what is x? (a) 10 (b) 12 (c) 11 (d) 2
  3. 3.If 4x + 3 = 55, what is x? (a) 14 (b) 52 (c) 12 (d) 13
  4. 4.If x/3 + 4 = 13, what is x? (a) 9 (b) 35 (c) 51 (d) 27
  5. 5.If 7x + 5 = 5x + 9, what is x? (a) 4 (b) 2 (c) 7 (d) 3
  6. 6.If 9x + 22 = 94, what is x? (a) 9 (b) 8 (c) 72 (d) 7
  7. 7.If x/6 + 3 = 13, what is x? (a) 96 (b) 60 (c) 10 (d) 75
  8. 8.If 4x + 7 = x + 43, what is x? (a) 12 (b) 14 (c) 11 (d) 13
  9. 9.If 5x + 8 = x + 20, what is x? (a) 2 (b) 3 (c) 4 (d) 7
  10. 10.If x/6 + 10 = 18, what is x? (a) 168 (b) 8 (c) 48 (d) 98
  11. 11.If 4x + 18 = 3x + 23, what is x? (a) 5 (b) 6 (c) 41 (d) 7
  12. 12.If 2x + 6 = 14, what is x? (a) 8 (b) 10 (c) 5 (d) 4
  13. 13.If x/6 + 11 = 14, what is x? (a) 73 (b) 18 (c) 3 (d) 150
  14. 14.If 8x − 29 = 75, what is x? (a) 12 (b) 14 (c) 104 (d) 13
  15. 15.If x/5 + 10 = 12, what is x? (a) 10 (b) 2 (c) 110 (d) 50
  16. 16.If 6x − 57 = 9, what is x? (a) 66 (b) 11 (c) 12 (d) 10
  17. 17.If 4x − 13 = 39, what is x? (a) 52 (b) 13 (c) 12 (d) 14
  18. 18.If 3x + 4 = x + 10, what is x? (a) 4 (b) 5 (c) 7 (d) 3
  19. 19.If 9x − 7 = 20, what is x? (a) 3 (b) 27 (c) 4 (d) 2
  20. 20.If 7x − 10 = 88, what is x? (a) 14 (b) 15 (c) 98 (d) 13
  21. 21.If 4x − 27 = 13, what is x? (a) 10 (b) 40 (c) 9 (d) 11
  22. 22.If 4x + 1 = 29, what is x? (a) 7 (b) 6 (c) 28 (d) 8
  23. 23.If 5x + 30 = 90, what is x? (a) 24 (b) 13 (c) 60 (d) 12
  24. 24.If 2x − 15 = 1, what is x? (a) 8 (b) 16 (c) 9 (d) 7
  25. 25.If x/2 + 4 = 11, what is x? (a) 14 (b) 30 (c) 7 (d) 18
  26. 26.If x/3 + 1 = 10, what is x? (a) 29 (b) 27 (c) 33 (d) 9
  27. 27.If 3x + 5 = x + 25, what is x? (a) 11 (b) 10 (c) 5 (d) 15
  28. 28.If 8x − 36 = 12, what is x? (a) 48 (b) 6 (c) 5 (d) 7
  29. 29.If 8x − 39 = 33, what is x? (a) 10 (b) 72 (c) 9 (d) 8
  30. 30.If 6x − 7 = 5, what is x? (a) 2 (b) 3 (c) 12 (d) 1
  31. 31.If 2x + 18 = 24, what is x? (a) 3 (b) 21 (c) 4 (d) 6
  32. 32.If 3x + 2 = 26, what is x? (a) 9 (b) 24 (c) 8 (d) 7
  33. 33.If 8x − 33 = 55, what is x? (a) 11 (b) 12 (c) 10 (d) 88
  34. 34.If x/5 + 3 = 12, what is x? (a) 45 (b) 75 (c) 9 (d) 57
  35. 35.If 5x + 23 = 83, what is x? (a) 13 (b) 11 (c) 60 (d) 12
  36. 36.If x/2 + 6 = 10, what is x? (a) 8 (b) 4 (c) 32 (d) 14
  37. 37.If 3x − 6 = 30, what is x? (a) 13 (b) 36 (c) 8 (d) 12
  38. 38.If 9x − 26 = 37, what is x? (a) 6 (b) 63 (c) 7 (d) 8
  39. 39.If 3x − 5 = 34, what is x? (a) 12 (b) 13 (c) 39 (d) 14
  40. 40.If x/5 + 2 = 10, what is x? (a) 48 (b) 8 (c) 60 (d) 40

Answer key

  1. 8
  2. 10
  3. 13
  4. 27
  5. 2
  6. 8
  7. 60
  8. 12
  9. 3
  10. 48
  11. 5
  12. 4
  13. 18
  14. 13
  15. 10
  16. 11
  17. 13
  18. 3
  19. 3
  20. 14
  21. 10
  22. 7
  23. 12
  24. 8
  25. 14
  26. 27
  27. 10
  28. 6
  29. 9
  30. 2
  31. 3
  32. 8
  33. 11
  34. 45
  35. 12
  36. 8
  37. 12
  38. 7
  39. 13
  40. 40

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