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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 316 · 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 6x − 54 = 12, what is x? (a) 11 (b) 66 (c) 10 (d) 12
  2. 2.If x/6 + 9 = 21, what is x? (a) 72 (b) 117 (c) 180 (d) 12
  3. 3.If 7x + 16 = 2x + 61, what is x? (a) 10 (b) 5 (c) 11 (d) 9
  4. 4.If 6x + 10 = 3x + 22, what is x? (a) 3 (b) 4 (c) 6 (d) 5
  5. 5.If 9x + 5 = 5x + 21, what is x? (a) 5 (b) 3 (c) 4 (d) 6
  6. 6.If 5x − 31 = 4, what is x? (a) 7 (b) 35 (c) 6 (d) 8
  7. 7.If 6x − 8 = 4, what is x? (a) 3 (b) 2 (c) 12 (d) 1
  8. 8.If 6x + 1 = 31, what is x? (a) 30 (b) 5 (c) 4 (d) 6
  9. 9.If 3x + 30 = 42, what is x? (a) 4 (b) 5 (c) 24 (d) 12
  10. 10.If 4x + 27 = 47, what is x? (a) 20 (b) 5 (c) 6 (d) 4
  11. 11.If 9x + 26 = 116, what is x? (a) 11 (b) 10 (c) 90 (d) 9
  12. 12.If 4x + 12 = x + 36, what is x? (a) 9 (b) 8 (c) 16 (d) 10
  13. 13.If x/4 + 14 = 26, what is x? (a) 12 (b) 160 (c) 48 (d) 90
  14. 14.If 3x + 3 = 2x + 4, what is x? (a) 2 (b) 1 (c) 3 (d) 7
  15. 15.If x/3 + 14 = 18, what is x? (a) 4 (b) 40 (c) 96 (d) 12
  16. 16.If 5x − 5 = 10, what is x? (a) 4 (b) 1 (c) 15 (d) 3
  17. 17.If 2x − 3 = 3, what is x? (a) 4 (b) 3 (c) 6 (d) 2
  18. 18.If 4x − 11 = 49, what is x? (a) 14 (b) 60 (c) 16 (d) 15
  19. 19.If 4x − 12 = 32, what is x? (a) 5 (b) 12 (c) 11 (d) 44
  20. 20.If 9x − 4 = 23, what is x? (a) 27 (b) 2 (c) 4 (d) 3
  21. 21.If 2x + 29 = 41, what is x? (a) 7 (b) 12 (c) 35 (d) 6
  22. 22.If 7x + 28 = 70, what is x? (a) 14 (b) 6 (c) 42 (d) 7
  23. 23.If 2x + 11 = 25, what is x? (a) 18 (b) 14 (c) 7 (d) 8
  24. 24.If 5x + 9 = 19, what is x? (a) 3 (b) 2 (c) 1 (d) 10
  25. 25.If 8x + 7 = 2x + 43, what is x? (a) 7 (b) 8 (c) 6 (d) 5
  26. 26.If 5x − 8 = 22, what is x? (a) 30 (b) 7 (c) 6 (d) 5
  27. 27.If 9x + 9 = 81, what is x? (a) 9 (b) 8 (c) 72 (d) 10
  28. 28.If 6x + 13 = 55, what is x? (a) 8 (b) 6 (c) 7 (d) 42
  29. 29.If x/5 + 8 = 16, what is x? (a) 8 (b) 72 (c) 120 (d) 40
  30. 30.If 3x − 7 = 17, what is x? (a) 9 (b) 8 (c) 7 (d) 24
  31. 31.If x/5 + 4 = 7, what is x? (a) 3 (b) 31 (c) 55 (d) 15
  32. 32.If x/3 + 9 = 15, what is x? (a) 36 (b) 18 (c) 72 (d) 6
  33. 33.If x/5 + 11 = 15, what is x? (a) 130 (b) 4 (c) 64 (d) 20
  34. 34.If 6x − 1 = 11, what is x? (a) 2 (b) 1 (c) 3 (d) 12
  35. 35.If 5x + 2 = 77, what is x? (a) 14 (b) 75 (c) 16 (d) 15
  36. 36.If 7x + 9 = 79, what is x? (a) 70 (b) 9 (c) 11 (d) 10
  37. 37.If 3x + 13 = 31, what is x? (a) 18 (b) 5 (c) 6 (d) 7
  38. 38.If 8x − 29 = 11, what is x? (a) 40 (b) 4 (c) 6 (d) 5
  39. 39.If x/3 + 15 = 19, what is x? (a) 4 (b) 102 (c) 42 (d) 12
  40. 40.If x/4 + 15 = 21, what is x? (a) 69 (b) 6 (c) 144 (d) 24

Answer key

  1. 11
  2. 72
  3. 9
  4. 4
  5. 4
  6. 7
  7. 2
  8. 5
  9. 4
  10. 5
  11. 10
  12. 8
  13. 48
  14. 1
  15. 12
  16. 3
  17. 3
  18. 15
  19. 11
  20. 3
  21. 6
  22. 6
  23. 7
  24. 2
  25. 6
  26. 6
  27. 8
  28. 7
  29. 40
  30. 8
  31. 15
  32. 18
  33. 20
  34. 2
  35. 15
  36. 10
  37. 6
  38. 5
  39. 12
  40. 24

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