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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 341 · 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 7x + 19 = 47, what is x? (a) 3 (b) 5 (c) 28 (d) 4
  2. 2.If 5x − 9 = 41, what is x? (a) 11 (b) 10 (c) 9 (d) 50
  3. 3.If 9x + 14 = 59, what is x? (a) 45 (b) 6 (c) 5 (d) 4
  4. 4.If 8x − 22 = 50, what is x? (a) 10 (b) 9 (c) 72 (d) 8
  5. 5.If 6x + 4 = 5x + 14, what is x? (a) 18 (b) 10 (c) 12 (d) 11
  6. 6.If 2x − 4 = 8, what is x? (a) 12 (b) 6 (c) 7 (d) 2
  7. 7.If 5x + 9 = x + 29, what is x? (a) 7 (b) 5 (c) 6 (d) 4
  8. 8.If 8x − 3 = 61, what is x? (a) 7 (b) 9 (c) 64 (d) 8
  9. 9.If x/4 + 10 = 12, what is x? (a) 38 (b) 88 (c) 8 (d) 2
  10. 10.If 4x + 17 = 3x + 20, what is x? (a) 5 (b) 3 (c) 4 (d) 37
  11. 11.If 3x − 12 = 6, what is x? (a) 6 (b) 18 (c) 7 (d) 5
  12. 12.If 8x + 11 = 43, what is x? (a) 4 (b) 5 (c) 32 (d) 3
  13. 13.If x/3 + 3 = 14, what is x? (a) 39 (b) 51 (c) 11 (d) 33
  14. 14.If 2x − 15 = 5, what is x? (a) 10 (b) 9 (c) 20 (d) 11
  15. 15.If x/2 + 1 = 3, what is x? (a) 2 (b) 8 (c) 4 (d) 5
  16. 16.If 6x + 4 = 88, what is x? (a) 13 (b) 15 (c) 84 (d) 14
  17. 17.If 9x + 15 = 33, what is x? (a) 1 (b) 18 (c) 2 (d) 3
  18. 18.If 4x + 16 = 2x + 18, what is x? (a) 3 (b) 17 (c) 1 (d) 2
  19. 19.If 7x − 78 = 13, what is x? (a) 12 (b) 14 (c) 91 (d) 13
  20. 20.If x/3 + 10 = 19, what is x? (a) 9 (b) 87 (c) 47 (d) 27
  21. 21.If 7x + 17 = 122, what is x? (a) 105 (b) 14 (c) 15 (d) 16
  22. 22.If 5x + 19 = 79, what is x? (a) 13 (b) 12 (c) 11 (d) 60
  23. 23.If x/6 + 10 = 22, what is x? (a) 192 (b) 122 (c) 72 (d) 12
  24. 24.If 5x − 6 = 9, what is x? (a) 3 (b) 4 (c) 15 (d) 2
  25. 25.If 3x − 15 = 3, what is x? (a) 5 (b) 18 (c) 6 (d) 7
  26. 26.If 3x − 6 = 12, what is x? (a) 6 (b) 7 (c) 2 (d) 18
  27. 27.If 6x + 2 = 32, what is x? (a) 30 (b) 4 (c) 5 (d) 6
  28. 28.If 6x + 19 = 37, what is x? (a) 2 (b) 3 (c) 18 (d) 4
  29. 29.If 4x + 23 = 83, what is x? (a) 15 (b) 16 (c) 14 (d) 60
  30. 30.If 3x + 13 = 2x + 23, what is x? (a) 2 (b) 10 (c) 11 (d) 36
  31. 31.If 3x − 19 = 5, what is x? (a) 8 (b) 24 (c) 9 (d) 7
  32. 32.If 8x + 27 = 131, what is x? (a) 12 (b) 14 (c) 13 (d) 104
  33. 33.If 5x − 13 = 7, what is x? (a) 20 (b) 5 (c) 4 (d) 3
  34. 34.If 3x − 11 = 16, what is x? (a) 10 (b) 8 (c) 9 (d) 27
  35. 35.If x/4 + 4 = 11, what is x? (a) 60 (b) 7 (c) 28 (d) 40
  36. 36.If 9x + 29 = 83, what is x? (a) 6 (b) 5 (c) 7 (d) 54
  37. 37.If 2x + 18 = 22, what is x? (a) 20 (b) 4 (c) 2 (d) 3
  38. 38.If x/2 + 3 = 10, what is x? (a) 17 (b) 26 (c) 14 (d) 7
  39. 39.If 3x + 17 = 53, what is x? (a) 12 (b) 36 (c) 11 (d) 13
  40. 40.If 5x + 4 = 34, what is x? (a) 5 (b) 30 (c) 7 (d) 6

Answer key

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

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