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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 848 · 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/3 + 15 = 17, what is x? (a) 6 (b) 96 (c) 36 (d) 2
  2. 2.If 7x − 57 = 41, what is x? (a) 13 (b) 98 (c) 14 (d) 15
  3. 3.If 3x − 3 = 30, what is x? (a) 33 (b) 11 (c) 12 (d) 9
  4. 4.If x/5 + 6 = 18, what is x? (a) 120 (b) 84 (c) 12 (d) 60
  5. 5.If 3x − 2 = 7, what is x? (a) 3 (b) 9 (c) 2 (d) 4
  6. 6.If x/2 + 7 = 16, what is x? (a) 25 (b) 9 (c) 46 (d) 18
  7. 7.If 5x + 14 = 69, what is x? (a) 10 (b) 12 (c) 55 (d) 11
  8. 8.If x/6 + 12 = 17, what is x? (a) 174 (b) 90 (c) 5 (d) 30
  9. 9.If 2x + 4 = 12, what is x? (a) 3 (b) 4 (c) 5 (d) 8
  10. 10.If x/5 + 4 = 10, what is x? (a) 6 (b) 70 (c) 46 (d) 30
  11. 11.If x/4 + 5 = 17, what is x? (a) 88 (b) 63 (c) 12 (d) 48
  12. 12.If x/5 + 13 = 22, what is x? (a) 45 (b) 9 (c) 175 (d) 97
  13. 13.If x/3 + 2 = 11, what is x? (a) 31 (b) 9 (c) 39 (d) 27
  14. 14.If 6x + 2 = 56, what is x? (a) 10 (b) 9 (c) 54 (d) 8
  15. 15.If 6x − 4 = 32, what is x? (a) 6 (b) 36 (c) 7 (d) 5
  16. 16.If 7x + 18 = 60, what is x? (a) 42 (b) 6 (c) 5 (d) 7
  17. 17.If 4x + 9 = 41, what is x? (a) 8 (b) 7 (c) 32 (d) 9
  18. 18.If 4x + 12 = 28, what is x? (a) 4 (b) 10 (c) 5 (d) 16
  19. 19.If 5x + 16 = 51, what is x? (a) 35 (b) 7 (c) 8 (d) 6
  20. 20.If 9x + 16 = x + 88, what is x? (a) 13 (b) 10 (c) 9 (d) 11
  21. 21.If 3x − 3 = 6, what is x? (a) 3 (b) 1 (c) 9 (d) 4
  22. 22.If 5x + 1 = 4x + 6, what is x? (a) 4 (b) 5 (c) 6 (d) 7
  23. 23.If 7x − 57 = 13, what is x? (a) 11 (b) 10 (c) 70 (d) 9
  24. 24.If 6x + 6 = x + 56, what is x? (a) 12 (b) 9 (c) 10 (d) 11
  25. 25.If x/3 + 10 = 12, what is x? (a) 66 (b) 6 (c) 2 (d) 26
  26. 26.If x/4 + 15 = 18, what is x? (a) 3 (b) 57 (c) 132 (d) 12
  27. 27.If 4x + 18 = 30, what is x? (a) 12 (b) 3 (c) 4 (d) 2
  28. 28.If 3x + 5 = 2x + 16, what is x? (a) 12 (b) 11 (c) 21 (d) 13
  29. 29.If 2x + 5 = 35, what is x? (a) 15 (b) 16 (c) 20 (d) 30
  30. 30.If 6x + 26 = 86, what is x? (a) 10 (b) 11 (c) 60 (d) 9
  31. 31.If 8x − 9 = 7, what is x? (a) 1 (b) 2 (c) 16 (d) 3
  32. 32.If 4x + 10 = 2x + 32, what is x? (a) 13 (b) 21 (c) 12 (d) 11
  33. 33.If x/3 + 13 = 19, what is x? (a) 6 (b) 96 (c) 18 (d) 44
  34. 34.If 4x + 4 = 3x + 16, what is x? (a) 13 (b) 20 (c) 12 (d) 14
  35. 35.If 4x − 6 = 42, what is x? (a) 9 (b) 48 (c) 13 (d) 12
  36. 36.If 6x + 2 = x + 7, what is x? (a) 3 (b) 4 (c) 2 (d) 1
  37. 37.If 3x − 1 = 5, what is x? (a) 2 (b) 6 (c) 1 (d) 3
  38. 38.If 8x + 1 = 105, what is x? (a) 13 (b) 14 (c) 104 (d) 12
  39. 39.If 5x − 31 = 14, what is x? (a) 9 (b) 45 (c) 8 (d) 10
  40. 40.If 8x + 1 = 113, what is x? (a) 15 (b) 13 (c) 112 (d) 14

Answer key

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

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