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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 109 · 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 9x + 15 = x + 63, what is x? (a) 6 (b) 7 (c) 8 (d) 5
  2. 2.If 6x − 43 = 41, what is x? (a) 14 (b) 15 (c) 13 (d) 84
  3. 3.If 4x + 14 = 42, what is x? (a) 7 (b) 8 (c) 28 (d) 14
  4. 4.If x/2 + 5 = 9, what is x? (a) 8 (b) 13 (c) 28 (d) 4
  5. 5.If 5x − 25 = 40, what is x? (a) 65 (b) 14 (c) 13 (d) 3
  6. 6.If 3x + 1 = x + 15, what is x? (a) 6 (b) 7 (c) 8 (d) 9
  7. 7.If x/6 + 8 = 16, what is x? (a) 88 (b) 144 (c) 8 (d) 48
  8. 8.If 9x − 131 = 4, what is x? (a) 16 (b) 135 (c) 14 (d) 15
  9. 9.If 8x − 23 = 57, what is x? (a) 11 (b) 10 (c) 9 (d) 80
  10. 10.If 3x − 4 = 17, what is x? (a) 21 (b) 8 (c) 6 (d) 7
  11. 11.If 7x + 26 = 103, what is x? (a) 11 (b) 10 (c) 77 (d) 12
  12. 12.If 4x + 7 = 3x + 12, what is x? (a) 7 (b) 6 (c) 5 (d) 19
  13. 13.If 4x + 20 = 2x + 22, what is x? (a) 2 (b) 3 (c) 21 (d) 1
  14. 14.If 2x + 15 = 37, what is x? (a) 22 (b) 26 (c) 12 (d) 11
  15. 15.If 9x − 10 = 8, what is x? (a) 3 (b) 1 (c) 18 (d) 2
  16. 16.If x/3 + 15 = 19, what is x? (a) 4 (b) 42 (c) 102 (d) 12
  17. 17.If 4x + 22 = 46, what is x? (a) 7 (b) 17 (c) 6 (d) 24
  18. 18.If 6x + 17 = 65, what is x? (a) 8 (b) 48 (c) 7 (d) 9
  19. 19.If 7x + 21 = 84, what is x? (a) 15 (b) 10 (c) 9 (d) 63
  20. 20.If x/2 + 4 = 15, what is x? (a) 22 (b) 26 (c) 38 (d) 11
  21. 21.If x/6 + 12 = 22, what is x? (a) 204 (b) 120 (c) 10 (d) 60
  22. 22.If x/3 + 8 = 19, what is x? (a) 49 (b) 33 (c) 81 (d) 11
  23. 23.If 4x + 5 = 21, what is x? (a) 3 (b) 4 (c) 5 (d) 16
  24. 24.If 4x − 18 = 2, what is x? (a) 5 (b) 20 (c) 4 (d) 6
  25. 25.If 5x + 14 = 4x + 15, what is x? (a) 29 (b) 1 (c) 2 (d) 3
  26. 26.If x/2 + 15 = 17, what is x? (a) 4 (b) 64 (c) 2 (d) 19
  27. 27.If x/2 + 1 = 3, what is x? (a) 5 (b) 4 (c) 2 (d) 8
  28. 28.If 4x − 23 = 9, what is x? (a) 32 (b) 9 (c) 8 (d) 7
  29. 29.If x/6 + 15 = 19, what is x? (a) 4 (b) 99 (c) 204 (d) 24
  30. 30.If 9x + 3 = 48, what is x? (a) 45 (b) 4 (c) 5 (d) 6
  31. 31.If 4x + 7 = x + 13, what is x? (a) 1 (b) 2 (c) 4 (d) 3
  32. 32.If 7x + 16 = 3x + 28, what is x? (a) 5 (b) 11 (c) 4 (d) 3
  33. 33.If x/6 + 1 = 11, what is x? (a) 10 (b) 72 (c) 60 (d) 65
  34. 34.If 6x + 26 = 116, what is x? (a) 90 (b) 16 (c) 15 (d) 14
  35. 35.If 7x + 13 = 3x + 61, what is x? (a) 13 (b) 12 (c) 14 (d) 11
  36. 36.If 8x + 1 = x + 15, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  37. 37.If x/2 + 3 = 14, what is x? (a) 11 (b) 22 (c) 34 (d) 25
  38. 38.If 7x + 28 = 70, what is x? (a) 6 (b) 42 (c) 7 (d) 14
  39. 39.If 7x + 22 = 57, what is x? (a) 4 (b) 6 (c) 5 (d) 35
  40. 40.If 7x + 17 = 4x + 32, what is x? (a) 6 (b) 7 (c) 5 (d) 4

Answer key

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

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