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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 466 · 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 7x − 77 = 7, what is x? (a) 11 (b) 84 (c) 12 (d) 13
  2. 2.If 6x − 42 = 12, what is x? (a) 54 (b) 9 (c) 10 (d) 8
  3. 3.If 5x + 16 = 86, what is x? (a) 70 (b) 15 (c) 13 (d) 14
  4. 4.If x/5 + 3 = 12, what is x? (a) 9 (b) 75 (c) 45 (d) 57
  5. 5.If 5x + 16 = 26, what is x? (a) 10 (b) 2 (c) 3 (d) 1
  6. 6.If x/2 + 5 = 7, what is x? (a) 24 (b) 4 (c) 9 (d) 2
  7. 7.If 8x − 44 = 36, what is x? (a) 80 (b) 9 (c) 10 (d) 11
  8. 8.If x/5 + 14 = 21, what is x? (a) 7 (b) 91 (c) 175 (d) 35
  9. 9.If 6x + 20 = 62, what is x? (a) 8 (b) 6 (c) 42 (d) 7
  10. 10.If 3x + 12 = 2x + 24, what is x? (a) 13 (b) 14 (c) 36 (d) 12
  11. 11.If x/3 + 4 = 6, what is x? (a) 6 (b) 30 (c) 14 (d) 2
  12. 12.If 5x − 11 = 14, what is x? (a) 25 (b) 6 (c) 4 (d) 5
  13. 13.If 4x − 10 = 50, what is x? (a) 10 (b) 16 (c) 60 (d) 15
  14. 14.If 5x + 6 = x + 26, what is x? (a) 5 (b) 7 (c) 8 (d) 6
  15. 15.If 9x + 1 = 46, what is x? (a) 6 (b) 45 (c) 4 (d) 5
  16. 16.If 2x + 5 = 11, what is x? (a) 4 (b) 8 (c) 6 (d) 3
  17. 17.If 8x + 14 = 30, what is x? (a) 16 (b) 2 (c) 3 (d) 1
  18. 18.If 5x + 28 = 83, what is x? (a) 55 (b) 12 (c) 10 (d) 11
  19. 19.If 4x + 15 = x + 36, what is x? (a) 9 (b) 17 (c) 8 (d) 7
  20. 20.If x/2 + 12 = 20, what is x? (a) 64 (b) 8 (c) 28 (d) 16
  21. 21.If 6x + 18 = 3x + 42, what is x? (a) 20 (b) 9 (c) 8 (d) 10
  22. 22.If 7x − 1 = 62, what is x? (a) 10 (b) 63 (c) 8 (d) 9
  23. 23.If x/4 + 9 = 14, what is x? (a) 20 (b) 92 (c) 5 (d) 47
  24. 24.If 3x + 12 = 2x + 19, what is x? (a) 7 (b) 31 (c) 8 (d) 9
  25. 25.If 6x + 24 = 114, what is x? (a) 23 (b) 15 (c) 16 (d) 90
  26. 26.If x/6 + 3 = 15, what is x? (a) 12 (b) 108 (c) 87 (d) 72
  27. 27.If x/5 + 3 = 9, what is x? (a) 42 (b) 30 (c) 6 (d) 60
  28. 28.If x/2 + 8 = 20, what is x? (a) 32 (b) 12 (c) 56 (d) 24
  29. 29.If 4x + 20 = 2x + 24, what is x? (a) 4 (b) 3 (c) 2 (d) 22
  30. 30.If x/6 + 5 = 12, what is x? (a) 7 (b) 67 (c) 102 (d) 42
  31. 31.If 8x + 15 = 79, what is x? (a) 9 (b) 8 (c) 7 (d) 64
  32. 32.If x/4 + 5 = 11, what is x? (a) 64 (b) 24 (c) 39 (d) 6
  33. 33.If 5x + 12 = 4x + 18, what is x? (a) 8 (b) 6 (c) 7 (d) 30
  34. 34.If 4x − 35 = 21, what is x? (a) 15 (b) 13 (c) 56 (d) 14
  35. 35.If 3x + 5 = 2x + 16, what is x? (a) 12 (b) 11 (c) 21 (d) 13
  36. 36.If 7x + 9 = 72, what is x? (a) 9 (b) 10 (c) 63 (d) 8
  37. 37.If 8x + 23 = 47, what is x? (a) 4 (b) 2 (c) 24 (d) 3
  38. 38.If 9x + 19 = x + 67, what is x? (a) 7 (b) 5 (c) 6 (d) 8
  39. 39.If 6x + 4 = 3x + 16, what is x? (a) 5 (b) 4 (c) 3 (d) 6
  40. 40.If 8x + 26 = 50, what is x? (a) 3 (b) 4 (c) 2 (d) 24

Answer key

  1. 12
  2. 9
  3. 14
  4. 45
  5. 2
  6. 4
  7. 10
  8. 35
  9. 7
  10. 12
  11. 6
  12. 5
  13. 15
  14. 5
  15. 5
  16. 3
  17. 2
  18. 11
  19. 7
  20. 16
  21. 8
  22. 9
  23. 20
  24. 7
  25. 15
  26. 72
  27. 30
  28. 24
  29. 2
  30. 42
  31. 8
  32. 24
  33. 6
  34. 14
  35. 11
  36. 9
  37. 3
  38. 6
  39. 4
  40. 3

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