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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 151 · 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 + 6 = 42, what is x? (a) 6 (b) 8 (c) 7 (d) 36
  2. 2.If x/5 + 14 = 17, what is x? (a) 3 (b) 155 (c) 71 (d) 15
  3. 3.If 3x − 3 = 12, what is x? (a) 6 (b) 3 (c) 5 (d) 15
  4. 4.If 5x + 5 = 15, what is x? (a) 10 (b) 4 (c) 3 (d) 2
  5. 5.If 5x + 27 = 72, what is x? (a) 9 (b) 8 (c) 10 (d) 45
  6. 6.If 4x + 11 = x + 32, what is x? (a) 6 (b) 8 (c) 7 (d) 9
  7. 7.If 8x − 22 = 50, what is x? (a) 10 (b) 9 (c) 8 (d) 72
  8. 8.If 4x − 27 = 17, what is x? (a) 11 (b) 44 (c) 12 (d) 10
  9. 9.If x/6 + 14 = 19, what is x? (a) 198 (b) 30 (c) 5 (d) 100
  10. 10.If x/3 + 9 = 15, what is x? (a) 36 (b) 6 (c) 18 (d) 72
  11. 11.If x/5 + 2 = 10, what is x? (a) 48 (b) 40 (c) 60 (d) 8
  12. 12.If x/4 + 12 = 23, what is x? (a) 44 (b) 80 (c) 140 (d) 11
  13. 13.If 6x + 3 = 63, what is x? (a) 10 (b) 60 (c) 11 (d) 9
  14. 14.If 2x − 2 = 24, what is x? (a) 11 (b) 26 (c) 14 (d) 13
  15. 15.If x/5 + 3 = 11, what is x? (a) 40 (b) 52 (c) 70 (d) 8
  16. 16.If x/6 + 12 = 23, what is x? (a) 210 (b) 66 (c) 126 (d) 11
  17. 17.If 6x + 2 = 4x + 14, what is x? (a) 5 (b) 8 (c) 6 (d) 7
  18. 18.If x/5 + 15 = 27, what is x? (a) 210 (b) 60 (c) 12 (d) 120
  19. 19.If 9x + 20 = 7x + 38, what is x? (a) 9 (b) 10 (c) 29 (d) 11
  20. 20.If 6x + 19 = 67, what is x? (a) 48 (b) 8 (c) 9 (d) 7
  21. 21.If x/3 + 9 = 18, what is x? (a) 81 (b) 45 (c) 27 (d) 9
  22. 22.If 9x + 29 = 101, what is x? (a) 72 (b) 9 (c) 7 (d) 8
  23. 23.If 3x + 6 = 48, what is x? (a) 18 (b) 14 (c) 42 (d) 15
  24. 24.If 6x + 29 = 95, what is x? (a) 66 (b) 11 (c) 10 (d) 12
  25. 25.If 2x + 1 = 17, what is x? (a) 9 (b) 8 (c) 7 (d) 16
  26. 26.If 2x + 25 = 55, what is x? (a) 15 (b) 40 (c) 16 (d) 30
  27. 27.If 6x + 2 = x + 42, what is x? (a) 10 (b) 7 (c) 8 (d) 9
  28. 28.If 4x − 4 = 24, what is x? (a) 5 (b) 8 (c) 28 (d) 7
  29. 29.If 6x + 4 = 88, what is x? (a) 13 (b) 14 (c) 15 (d) 84
  30. 30.If 8x − 14 = 2, what is x? (a) 16 (b) 1 (c) 2 (d) 3
  31. 31.If 7x − 7 = 28, what is x? (a) 35 (b) 6 (c) 5 (d) 3
  32. 32.If 4x + 25 = 41, what is x? (a) 3 (b) 4 (c) 16 (d) 5
  33. 33.If 7x + 27 = 41, what is x? (a) 1 (b) 3 (c) 14 (d) 2
  34. 34.If x/5 + 11 = 23, what is x? (a) 60 (b) 12 (c) 170 (d) 104
  35. 35.If 8x + 2 = 7x + 11, what is x? (a) 9 (b) 10 (c) 11 (d) 13
  36. 36.If 6x + 5 = 4x + 11, what is x? (a) 5 (b) 4 (c) 3 (d) 8
  37. 37.If 5x + 5 = 4x + 13, what is x? (a) 9 (b) 10 (c) 8 (d) 18
  38. 38.If x/2 + 7 = 16, what is x? (a) 25 (b) 46 (c) 18 (d) 9
  39. 39.If 2x − 3 = 1, what is x? (a) 3 (b) 2 (c) 1 (d) 4
  40. 40.If 7x + 21 = 112, what is x? (a) 91 (b) 19 (c) 13 (d) 14

Answer key

  1. 6
  2. 15
  3. 5
  4. 2
  5. 9
  6. 7
  7. 9
  8. 11
  9. 30
  10. 18
  11. 40
  12. 44
  13. 10
  14. 13
  15. 40
  16. 66
  17. 6
  18. 60
  19. 9
  20. 8
  21. 27
  22. 8
  23. 14
  24. 11
  25. 8
  26. 15
  27. 8
  28. 7
  29. 14
  30. 2
  31. 5
  32. 4
  33. 2
  34. 60
  35. 9
  36. 3
  37. 8
  38. 18
  39. 2
  40. 13

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