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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 77 · 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/2 + 9 = 20, what is x? (a) 11 (b) 58 (c) 31 (d) 22
  2. 2.If 5x − 46 = 9, what is x? (a) 55 (b) 11 (c) 10 (d) 12
  3. 3.If 5x + 28 = 73, what is x? (a) 45 (b) 8 (c) 10 (d) 9
  4. 4.If 3x − 26 = 7, what is x? (a) 33 (b) 10 (c) 12 (d) 11
  5. 5.If x/2 + 2 = 12, what is x? (a) 10 (b) 22 (c) 20 (d) 28
  6. 6.If 4x + 9 = x + 12, what is x? (a) 7 (b) 1 (c) 2 (d) 3
  7. 7.If 4x + 5 = 25, what is x? (a) 4 (b) 6 (c) 20 (d) 5
  8. 8.If 9x − 21 = 42, what is x? (a) 63 (b) 6 (c) 8 (d) 7
  9. 9.If 7x + 27 = 76, what is x? (a) 49 (b) 8 (c) 6 (d) 7
  10. 10.If 9x − 16 = 20, what is x? (a) 4 (b) 5 (c) 36 (d) 3
  11. 11.If 2x − 23 = 3, what is x? (a) 12 (b) 13 (c) 26 (d) 14
  12. 12.If 9x + 19 = x + 91, what is x? (a) 9 (b) 11 (c) 10 (d) 8
  13. 13.If x/4 + 7 = 10, what is x? (a) 3 (b) 12 (c) 68 (d) 33
  14. 14.If 6x + 17 = x + 47, what is x? (a) 6 (b) 7 (c) 5 (d) 8
  15. 15.If 3x + 3 = 36, what is x? (a) 11 (b) 12 (c) 33 (d) 13
  16. 16.If 3x + 3 = x + 21, what is x? (a) 10 (b) 9 (c) 11 (d) 12
  17. 17.If 5x + 18 = 88, what is x? (a) 70 (b) 14 (c) 15 (d) 13
  18. 18.If 5x − 10 = 5, what is x? (a) 15 (b) 2 (c) 3 (d) 4
  19. 19.If 3x + 1 = 2x + 12, what is x? (a) 11 (b) 13 (c) 12 (d) 10
  20. 20.If 7x + 6 = 6x + 15, what is x? (a) 10 (b) 11 (c) 21 (d) 9
  21. 21.If 6x + 19 = 97, what is x? (a) 12 (b) 78 (c) 14 (d) 13
  22. 22.If 3x + 6 = x + 8, what is x? (a) 3 (b) 1 (c) 7 (d) 2
  23. 23.If 9x + 3 = 8x + 11, what is x? (a) 9 (b) 8 (c) 14 (d) 10
  24. 24.If 5x + 14 = 3x + 38, what is x? (a) 12 (b) 13 (c) 3 (d) 26
  25. 25.If 9x + 18 = 108, what is x? (a) 11 (b) 14 (c) 10 (d) 90
  26. 26.If 3x − 5 = 7, what is x? (a) 4 (b) 5 (c) 12 (d) 3
  27. 27.If 5x + 14 = 44, what is x? (a) 30 (b) 6 (c) 7 (d) 5
  28. 28.If 4x + 16 = 40, what is x? (a) 6 (b) 24 (c) 7 (d) 14
  29. 29.If x/5 + 12 = 15, what is x? (a) 135 (b) 15 (c) 63 (d) 3
  30. 30.If 3x − 3 = 18, what is x? (a) 5 (b) 21 (c) 7 (d) 8
  31. 31.If x/4 + 2 = 10, what is x? (a) 8 (b) 38 (c) 32 (d) 48
  32. 32.If x/6 + 14 = 18, what is x? (a) 192 (b) 4 (c) 94 (d) 24
  33. 33.If 5x − 40 = 5, what is x? (a) 8 (b) 45 (c) 9 (d) 10
  34. 34.If 5x + 2 = x + 26, what is x? (a) 8 (b) 4 (c) 7 (d) 6
  35. 35.If x/2 + 13 = 20, what is x? (a) 66 (b) 27 (c) 7 (d) 14
  36. 36.If 8x + 17 = 33, what is x? (a) 16 (b) 1 (c) 3 (d) 2
  37. 37.If 6x − 55 = 11, what is x? (a) 10 (b) 11 (c) 12 (d) 66
  38. 38.If 6x + 5 = 35, what is x? (a) 4 (b) 30 (c) 6 (d) 5
  39. 39.If x/6 + 5 = 14, what is x? (a) 54 (b) 9 (c) 79 (d) 114
  40. 40.If x/5 + 10 = 16, what is x? (a) 70 (b) 130 (c) 6 (d) 30

Answer key

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

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