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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 390 · 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 = 71, what is x? (a) 64 (b) 7 (c) 9 (d) 8
  2. 2.If 8x + 2 = 122, what is x? (a) 16 (b) 15 (c) 120 (d) 14
  3. 3.If 3x − 4 = 32, what is x? (a) 36 (b) 13 (c) 12 (d) 11
  4. 4.If 6x − 8 = 4, what is x? (a) 3 (b) 2 (c) 12 (d) 1
  5. 5.If 3x + 6 = 36, what is x? (a) 10 (b) 11 (c) 14 (d) 30
  6. 6.If 7x − 14 = 35, what is x? (a) 8 (b) 7 (c) 3 (d) 49
  7. 7.If 3x − 10 = 11, what is x? (a) 7 (b) 6 (c) 8 (d) 21
  8. 8.If 2x − 12 = 16, what is x? (a) 2 (b) 15 (c) 14 (d) 28
  9. 9.If x/3 + 6 = 13, what is x? (a) 57 (b) 7 (c) 21 (d) 33
  10. 10.If 3x + 18 = 27, what is x? (a) 4 (b) 3 (c) 15 (d) 9
  11. 11.If 8x + 6 = 2x + 36, what is x? (a) 3 (b) 7 (c) 5 (d) 6
  12. 12.If 8x + 18 = 3x + 48, what is x? (a) 6 (b) 7 (c) 5 (d) 8
  13. 13.If 7x + 9 = 58, what is x? (a) 8 (b) 6 (c) 49 (d) 7
  14. 14.If 3x − 17 = 16, what is x? (a) 12 (b) 10 (c) 11 (d) 33
  15. 15.If 3x + 7 = x + 15, what is x? (a) 11 (b) 5 (c) 2 (d) 4
  16. 16.If 7x + 16 = 86, what is x? (a) 10 (b) 70 (c) 9 (d) 11
  17. 17.If x/4 + 14 = 21, what is x? (a) 28 (b) 70 (c) 140 (d) 7
  18. 18.If x/6 + 8 = 16, what is x? (a) 48 (b) 144 (c) 88 (d) 8
  19. 19.If 7x − 82 = 9, what is x? (a) 91 (b) 12 (c) 13 (d) 14
  20. 20.If 8x − 10 = 6, what is x? (a) 2 (b) 3 (c) 16 (d) 1
  21. 21.If x/4 + 6 = 12, what is x? (a) 24 (b) 42 (c) 6 (d) 72
  22. 22.If 3x + 4 = 2x + 9, what is x? (a) 6 (b) 1 (c) 13 (d) 5
  23. 23.If 8x + 2 = 4x + 38, what is x? (a) 9 (b) 10 (c) 11 (d) 3
  24. 24.If x/5 + 2 = 14, what is x? (a) 60 (b) 68 (c) 80 (d) 12
  25. 25.If 3x − 2 = 7, what is x? (a) 4 (b) 3 (c) 2 (d) 9
  26. 26.If 7x + 18 = 116, what is x? (a) 13 (b) 14 (c) 15 (d) 98
  27. 27.If 7x + 6 = 3x + 54, what is x? (a) 13 (b) 12 (c) 15 (d) 14
  28. 28.If x/5 + 4 = 14, what is x? (a) 10 (b) 90 (c) 66 (d) 50
  29. 29.If 5x + 5 = 3x + 23, what is x? (a) 9 (b) 10 (c) 11 (d) 14
  30. 30.If 7x + 1 = 78, what is x? (a) 10 (b) 77 (c) 12 (d) 11
  31. 31.If 9x − 7 = 101, what is x? (a) 13 (b) 11 (c) 108 (d) 12
  32. 32.If x/5 + 5 = 10, what is x? (a) 25 (b) 5 (c) 45 (d) 75
  33. 33.If 3x + 23 = 44, what is x? (a) 6 (b) 21 (c) 7 (d) 8
  34. 34.If x/2 + 3 = 5, what is x? (a) 2 (b) 16 (c) 4 (d) 7
  35. 35.If 3x + 9 = x + 17, what is x? (a) 4 (b) 5 (c) 13 (d) 2
  36. 36.If x/3 + 14 = 16, what is x? (a) 90 (b) 6 (c) 34 (d) 2
  37. 37.If 4x + 8 = x + 20, what is x? (a) 3 (b) 6 (c) 5 (d) 4
  38. 38.If 8x + 4 = 76, what is x? (a) 10 (b) 72 (c) 8 (d) 9
  39. 39.If 5x + 13 = 33, what is x? (a) 20 (b) 4 (c) 5 (d) 3
  40. 40.If 2x − 7 = 7, what is x? (a) 6 (b) 14 (c) 7 (d) 8

Answer key

  1. 8
  2. 15
  3. 12
  4. 2
  5. 10
  6. 7
  7. 7
  8. 14
  9. 21
  10. 3
  11. 5
  12. 6
  13. 7
  14. 11
  15. 4
  16. 10
  17. 28
  18. 48
  19. 13
  20. 2
  21. 24
  22. 5
  23. 9
  24. 60
  25. 3
  26. 14
  27. 12
  28. 50
  29. 9
  30. 11
  31. 12
  32. 25
  33. 7
  34. 4
  35. 4
  36. 6
  37. 4
  38. 9
  39. 4
  40. 7

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