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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 727 · 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 8x − 42 = 14, what is x? (a) 8 (b) 7 (c) 56 (d) 6
  2. 2.If 5x − 12 = 33, what is x? (a) 8 (b) 10 (c) 45 (d) 9
  3. 3.If 5x + 1 = 71, what is x? (a) 70 (b) 13 (c) 14 (d) 15
  4. 4.If 5x − 55 = 20, what is x? (a) 15 (b) 75 (c) 16 (d) 14
  5. 5.If x/6 + 5 = 11, what is x? (a) 36 (b) 6 (c) 96 (d) 61
  6. 6.If 9x + 4 = 58, what is x? (a) 54 (b) 7 (c) 5 (d) 6
  7. 7.If x/2 + 12 = 24, what is x? (a) 12 (b) 72 (c) 36 (d) 24
  8. 8.If 8x − 14 = 18, what is x? (a) 4 (b) 5 (c) 3 (d) 32
  9. 9.If 2x + 16 = 26, what is x? (a) 21 (b) 10 (c) 6 (d) 5
  10. 10.If 5x + 5 = 3x + 19, what is x? (a) 8 (b) 7 (c) 12 (d) 9
  11. 11.If 9x − 54 = 9, what is x? (a) 7 (b) 6 (c) 8 (d) 63
  12. 12.If 3x + 15 = 30, what is x? (a) 5 (b) 6 (c) 4 (d) 15
  13. 13.If 3x + 26 = 65, what is x? (a) 39 (b) 12 (c) 13 (d) 14
  14. 14.If 8x + 13 = 53, what is x? (a) 5 (b) 6 (c) 40 (d) 4
  15. 15.If 4x + 21 = 33, what is x? (a) 3 (b) 4 (c) 12 (d) 2
  16. 16.If 5x + 7 = 2x + 43, what is x? (a) 13 (b) 14 (c) 12 (d) 11
  17. 17.If x/5 + 14 = 19, what is x? (a) 165 (b) 5 (c) 25 (d) 81
  18. 18.If 2x − 1 = 3, what is x? (a) 3 (b) 4 (c) 2 (d) 1
  19. 19.If 3x − 6 = 9, what is x? (a) 1 (b) 5 (c) 15 (d) 6
  20. 20.If 2x − 2 = 2, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  21. 21.If 4x + 8 = x + 20, what is x? (a) 3 (b) 4 (c) 6 (d) 5
  22. 22.If 7x − 3 = 53, what is x? (a) 8 (b) 56 (c) 9 (d) 7
  23. 23.If 5x + 25 = 55, what is x? (a) 7 (b) 6 (c) 30 (d) 16
  24. 24.If 9x − 5 = 31, what is x? (a) 36 (b) 5 (c) 4 (d) 3
  25. 25.If 3x − 4 = 29, what is x? (a) 12 (b) 10 (c) 33 (d) 11
  26. 26.If 7x − 2 = 68, what is x? (a) 11 (b) 9 (c) 70 (d) 10
  27. 27.If 9x + 16 = 7x + 24, what is x? (a) 20 (b) 4 (c) 6 (d) 5
  28. 28.If 9x + 4 = x + 92, what is x? (a) 12 (b) 13 (c) 10 (d) 11
  29. 29.If 8x + 30 = 86, what is x? (a) 56 (b) 8 (c) 6 (d) 7
  30. 30.If x/3 + 6 = 16, what is x? (a) 66 (b) 30 (c) 42 (d) 10
  31. 31.If 3x − 6 = 18, what is x? (a) 24 (b) 9 (c) 8 (d) 4
  32. 32.If 9x − 98 = 28, what is x? (a) 13 (b) 126 (c) 14 (d) 15
  33. 33.If 8x − 42 = 6, what is x? (a) 7 (b) 6 (c) 48 (d) 5
  34. 34.If x/6 + 6 = 9, what is x? (a) 18 (b) 90 (c) 48 (d) 3
  35. 35.If 9x + 9 = x + 105, what is x? (a) 11 (b) 12 (c) 14 (d) 13
  36. 36.If 7x + 19 = 33, what is x? (a) 14 (b) 3 (c) 2 (d) 1
  37. 37.If 5x − 3 = 7, what is x? (a) 3 (b) 10 (c) 1 (d) 2
  38. 38.If 3x − 16 = 29, what is x? (a) 45 (b) 14 (c) 16 (d) 15
  39. 39.If 9x − 23 = 103, what is x? (a) 126 (b) 13 (c) 14 (d) 15
  40. 40.If x/6 + 6 = 17, what is x? (a) 11 (b) 96 (c) 66 (d) 138

Answer key

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

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