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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 329 · 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/6 + 10 = 22, what is x? (a) 12 (b) 122 (c) 72 (d) 192
  2. 2.If x/2 + 6 = 12, what is x? (a) 36 (b) 12 (c) 6 (d) 18
  3. 3.If 9x + 17 = 80, what is x? (a) 7 (b) 8 (c) 63 (d) 6
  4. 4.If 5x + 3 = x + 51, what is x? (a) 12 (b) 8 (c) 13 (d) 14
  5. 5.If 4x + 26 = 70, what is x? (a) 12 (b) 44 (c) 24 (d) 11
  6. 6.If x/3 + 5 = 7, what is x? (a) 16 (b) 36 (c) 6 (d) 2
  7. 7.If 9x + 20 = 4x + 65, what is x? (a) 17 (b) 9 (c) 11 (d) 10
  8. 8.If 6x + 21 = 51, what is x? (a) 30 (b) 12 (c) 5 (d) 6
  9. 9.If 9x + 9 = 8x + 11, what is x? (a) 4 (b) 3 (c) 20 (d) 2
  10. 10.If 6x − 30 = 30, what is x? (a) 9 (b) 11 (c) 10 (d) 60
  11. 11.If 7x + 10 = 24, what is x? (a) 3 (b) 2 (c) 1 (d) 14
  12. 12.If 4x + 18 = 42, what is x? (a) 15 (b) 7 (c) 6 (d) 24
  13. 13.If 8x + 15 = 119, what is x? (a) 12 (b) 14 (c) 104 (d) 13
  14. 14.If 8x + 9 = x + 16, what is x? (a) 2 (b) 4 (c) 1 (d) 3
  15. 15.If 5x + 11 = 86, what is x? (a) 14 (b) 75 (c) 15 (d) 16
  16. 16.If 9x + 29 = 47, what is x? (a) 18 (b) 3 (c) 2 (d) 1
  17. 17.If 3x + 14 = 35, what is x? (a) 8 (b) 6 (c) 7 (d) 21
  18. 18.If 5x + 12 = 82, what is x? (a) 15 (b) 14 (c) 13 (d) 70
  19. 19.If 8x + 20 = 140, what is x? (a) 16 (b) 15 (c) 120 (d) 20
  20. 20.If x/5 + 3 = 6, what is x? (a) 3 (b) 27 (c) 15 (d) 45
  21. 21.If 5x − 3 = 57, what is x? (a) 12 (b) 60 (c) 11 (d) 13
  22. 22.If x/2 + 15 = 17, what is x? (a) 4 (b) 64 (c) 19 (d) 2
  23. 23.If x/5 + 11 = 17, what is x? (a) 30 (b) 6 (c) 74 (d) 140
  24. 24.If x/4 + 9 = 14, what is x? (a) 5 (b) 20 (c) 47 (d) 92
  25. 25.If 6x − 14 = 10, what is x? (a) 24 (b) 3 (c) 5 (d) 4
  26. 26.If 5x + 10 = 4x + 16, what is x? (a) 6 (b) 26 (c) 8 (d) 7
  27. 27.If 9x + 27 = 45, what is x? (a) 3 (b) 2 (c) 8 (d) 18
  28. 28.If 2x + 1 = 25, what is x? (a) 24 (b) 11 (c) 12 (d) 13
  29. 29.If 6x + 2 = 62, what is x? (a) 60 (b) 10 (c) 11 (d) 9
  30. 30.If x/5 + 2 = 7, what is x? (a) 5 (b) 45 (c) 25 (d) 33
  31. 31.If 2x + 6 = 12, what is x? (a) 9 (b) 6 (c) 4 (d) 3
  32. 32.If 6x + 11 = 5x + 17, what is x? (a) 8 (b) 7 (c) 6 (d) 28
  33. 33.If 7x + 6 = 3x + 30, what is x? (a) 8 (b) 9 (c) 6 (d) 7
  34. 34.If 4x + 18 = 38, what is x? (a) 20 (b) 14 (c) 6 (d) 5
  35. 35.If 9x + 5 = 8x + 12, what is x? (a) 8 (b) 7 (c) 9 (d) 17
  36. 36.If 7x − 26 = 16, what is x? (a) 42 (b) 5 (c) 6 (d) 7
  37. 37.If 3x + 4 = 2x + 16, what is x? (a) 12 (b) 13 (c) 20 (d) 14
  38. 38.If x/6 + 9 = 20, what is x? (a) 174 (b) 66 (c) 111 (d) 11
  39. 39.If 4x + 28 = 72, what is x? (a) 25 (b) 12 (c) 44 (d) 11
  40. 40.If x/6 + 10 = 17, what is x? (a) 42 (b) 162 (c) 92 (d) 7

Answer key

  1. 72
  2. 12
  3. 7
  4. 12
  5. 11
  6. 6
  7. 9
  8. 5
  9. 2
  10. 10
  11. 2
  12. 6
  13. 13
  14. 1
  15. 15
  16. 2
  17. 7
  18. 14
  19. 15
  20. 15
  21. 12
  22. 4
  23. 30
  24. 20
  25. 4
  26. 6
  27. 2
  28. 12
  29. 10
  30. 25
  31. 3
  32. 6
  33. 6
  34. 5
  35. 7
  36. 6
  37. 12
  38. 66
  39. 11
  40. 42

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