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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 790 · 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 5x − 11 = 19, what is x? (a) 5 (b) 7 (c) 6 (d) 30
  2. 2.If 4x − 9 = 47, what is x? (a) 13 (b) 14 (c) 15 (d) 56
  3. 3.If 9x + 9 = 135, what is x? (a) 126 (b) 15 (c) 16 (d) 14
  4. 4.If 7x + 22 = 92, what is x? (a) 70 (b) 11 (c) 9 (d) 10
  5. 5.If 2x − 3 = 1, what is x? (a) 1 (b) 3 (c) 4 (d) 2
  6. 6.If 4x + 17 = 49, what is x? (a) 7 (b) 8 (c) 32 (d) 9
  7. 7.If 2x − 1 = 15, what is x? (a) 7 (b) 16 (c) 8 (d) 9
  8. 8.If 9x + 16 = 6x + 49, what is x? (a) 11 (b) 13 (c) 12 (d) 10
  9. 9.If 6x + 2 = x + 27, what is x? (a) 7 (b) 6 (c) 4 (d) 5
  10. 10.If 3x − 26 = 19, what is x? (a) 16 (b) 15 (c) 14 (d) 45
  11. 11.If 5x + 10 = 20, what is x? (a) 10 (b) 2 (c) 6 (d) 3
  12. 12.If x/3 + 9 = 12, what is x? (a) 3 (b) 63 (c) 9 (d) 27
  13. 13.If 9x + 3 = 111, what is x? (a) 11 (b) 108 (c) 13 (d) 12
  14. 14.If 3x + 10 = 2x + 20, what is x? (a) 10 (b) 2 (c) 11 (d) 30
  15. 15.If 6x + 7 = 43, what is x? (a) 5 (b) 7 (c) 36 (d) 6
  16. 16.If 4x − 2 = 42, what is x? (a) 10 (b) 11 (c) 12 (d) 44
  17. 17.If 9x + 4 = x + 84, what is x? (a) 8 (b) 10 (c) 12 (d) 11
  18. 18.If x/6 + 3 = 9, what is x? (a) 72 (b) 51 (c) 36 (d) 6
  19. 19.If x/5 + 15 = 21, what is x? (a) 90 (b) 180 (c) 6 (d) 30
  20. 20.If x/3 + 5 = 13, what is x? (a) 34 (b) 8 (c) 24 (d) 54
  21. 21.If 4x + 11 = x + 17, what is x? (a) 3 (b) 2 (c) 4 (d) 1
  22. 22.If 5x + 11 = 71, what is x? (a) 60 (b) 12 (c) 13 (d) 11
  23. 23.If 5x − 37 = 28, what is x? (a) 14 (b) 13 (c) 12 (d) 65
  24. 24.If 5x + 12 = 27, what is x? (a) 3 (b) 15 (c) 2 (d) 4
  25. 25.If 2x + 25 = 45, what is x? (a) 35 (b) 11 (c) 20 (d) 10
  26. 26.If 4x − 35 = 5, what is x? (a) 40 (b) 11 (c) 9 (d) 10
  27. 27.If x/2 + 14 = 16, what is x? (a) 4 (b) 18 (c) 60 (d) 2
  28. 28.If x/3 + 2 = 14, what is x? (a) 40 (b) 36 (c) 12 (d) 48
  29. 29.If 5x + 17 = x + 49, what is x? (a) 9 (b) 10 (c) 7 (d) 8
  30. 30.If 5x + 10 = 40, what is x? (a) 30 (b) 10 (c) 7 (d) 6
  31. 31.If 7x + 12 = 5x + 26, what is x? (a) 19 (b) 9 (c) 7 (d) 8
  32. 32.If 7x + 11 = x + 17, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  33. 33.If 9x − 6 = 57, what is x? (a) 63 (b) 7 (c) 6 (d) 8
  34. 34.If 3x + 17 = 2x + 26, what is x? (a) 10 (b) 11 (c) 9 (d) 43
  35. 35.If 7x + 10 = 6x + 11, what is x? (a) 2 (b) 1 (c) 3 (d) 21
  36. 36.If 8x + 9 = 65, what is x? (a) 8 (b) 56 (c) 6 (d) 7
  37. 37.If 8x + 8 = 5x + 17, what is x? (a) 3 (b) 5 (c) 4 (d) 2
  38. 38.If x/6 + 12 = 17, what is x? (a) 5 (b) 90 (c) 174 (d) 30
  39. 39.If 6x + 29 = 83, what is x? (a) 9 (b) 8 (c) 10 (d) 54
  40. 40.If 3x + 1 = 31, what is x? (a) 11 (b) 30 (c) 10 (d) 9

Answer key

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

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