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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 103 · 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 − 7 = 33, what is x? (a) 4 (b) 40 (c) 5 (d) 6
  2. 2.If x/5 + 11 = 17, what is x? (a) 30 (b) 74 (c) 140 (d) 6
  3. 3.If x/5 + 7 = 12, what is x? (a) 5 (b) 53 (c) 95 (d) 25
  4. 4.If 7x + 17 = 73, what is x? (a) 7 (b) 9 (c) 56 (d) 8
  5. 5.If 8x + 3 = 2x + 33, what is x? (a) 3 (b) 5 (c) 7 (d) 6
  6. 6.If 2x − 10 = 4, what is x? (a) 14 (b) 8 (c) 7 (d) 6
  7. 7.If 5x − 34 = 26, what is x? (a) 11 (b) 13 (c) 12 (d) 60
  8. 8.If 6x − 29 = 7, what is x? (a) 36 (b) 6 (c) 7 (d) 5
  9. 9.If 6x + 29 = 107, what is x? (a) 14 (b) 78 (c) 13 (d) 12
  10. 10.If 4x − 8 = 4, what is x? (a) 3 (b) 2 (c) 12 (d) 4
  11. 11.If 9x + 19 = 8x + 29, what is x? (a) 48 (b) 11 (c) 10 (d) 12
  12. 12.If x/6 + 6 = 14, what is x? (a) 78 (b) 120 (c) 8 (d) 48
  13. 13.If x/2 + 3 = 9, what is x? (a) 6 (b) 24 (c) 15 (d) 12
  14. 14.If 3x + 5 = x + 11, what is x? (a) 4 (b) 5 (c) 8 (d) 3
  15. 15.If x/2 + 8 = 11, what is x? (a) 38 (b) 6 (c) 3 (d) 14
  16. 16.If 7x − 7 = 14, what is x? (a) 4 (b) 1 (c) 3 (d) 21
  17. 17.If 8x − 47 = 1, what is x? (a) 5 (b) 7 (c) 48 (d) 6
  18. 18.If 3x − 13 = 23, what is x? (a) 13 (b) 11 (c) 12 (d) 36
  19. 19.If 4x − 16 = 44, what is x? (a) 60 (b) 15 (c) 7 (d) 16
  20. 20.If 7x + 10 = 66, what is x? (a) 7 (b) 8 (c) 56 (d) 9
  21. 21.If 3x − 14 = 22, what is x? (a) 13 (b) 11 (c) 12 (d) 36
  22. 22.If x/5 + 9 = 20, what is x? (a) 11 (b) 55 (c) 91 (d) 145
  23. 23.If 2x − 17 = 11, what is x? (a) 15 (b) 28 (c) 13 (d) 14
  24. 24.If 8x − 4 = 28, what is x? (a) 32 (b) 3 (c) 4 (d) 5
  25. 25.If 3x − 16 = 5, what is x? (a) 6 (b) 21 (c) 7 (d) 8
  26. 26.If 3x − 11 = 1, what is x? (a) 12 (b) 3 (c) 5 (d) 4
  27. 27.If 3x + 16 = 2x + 22, what is x? (a) 8 (b) 38 (c) 6 (d) 7
  28. 28.If 8x − 46 = 66, what is x? (a) 13 (b) 15 (c) 14 (d) 112
  29. 29.If 5x − 6 = 19, what is x? (a) 6 (b) 25 (c) 4 (d) 5
  30. 30.If 2x − 5 = 1, what is x? (a) 4 (b) 3 (c) 2 (d) 6
  31. 31.If 9x − 6 = 48, what is x? (a) 54 (b) 6 (c) 5 (d) 7
  32. 32.If 2x − 12 = 14, what is x? (a) 13 (b) 14 (c) 26 (d) 1
  33. 33.If 3x + 11 = x + 15, what is x? (a) 3 (b) 1 (c) 2 (d) 13
  34. 34.If 7x − 55 = 1, what is x? (a) 9 (b) 7 (c) 56 (d) 8
  35. 35.If 7x + 5 = 4x + 29, what is x? (a) 8 (b) 7 (c) 9 (d) 10
  36. 36.If 9x + 28 = 118, what is x? (a) 10 (b) 11 (c) 9 (d) 90
  37. 37.If 6x + 19 = 73, what is x? (a) 10 (b) 54 (c) 8 (d) 9
  38. 38.If 5x + 6 = x + 54, what is x? (a) 15 (b) 12 (c) 8 (d) 13
  39. 39.If 6x − 14 = 28, what is x? (a) 6 (b) 42 (c) 7 (d) 8
  40. 40.If 4x − 12 = 36, what is x? (a) 12 (b) 48 (c) 13 (d) 6

Answer key

  1. 5
  2. 30
  3. 25
  4. 8
  5. 5
  6. 7
  7. 12
  8. 6
  9. 13
  10. 3
  11. 10
  12. 48
  13. 12
  14. 3
  15. 6
  16. 3
  17. 6
  18. 12
  19. 15
  20. 8
  21. 12
  22. 55
  23. 14
  24. 4
  25. 7
  26. 4
  27. 6
  28. 14
  29. 5
  30. 3
  31. 6
  32. 13
  33. 2
  34. 8
  35. 8
  36. 10
  37. 9
  38. 12
  39. 7
  40. 12

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