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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 961 · 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 5x + 19 = 94, what is x? (a) 75 (b) 16 (c) 14 (d) 15
  2. 2.If 9x + 8 = 125, what is x? (a) 117 (b) 13 (c) 12 (d) 14
  3. 3.If 7x + 7 = 3x + 31, what is x? (a) 5 (b) 7 (c) 8 (d) 6
  4. 4.If 7x − 19 = 44, what is x? (a) 63 (b) 8 (c) 10 (d) 9
  5. 5.If 8x + 5 = 2x + 77, what is x? (a) 14 (b) 11 (c) 12 (d) 13
  6. 6.If x/2 + 3 = 7, what is x? (a) 20 (b) 8 (c) 11 (d) 4
  7. 7.If 3x + 6 = x + 10, what is x? (a) 1 (b) 8 (c) 3 (d) 2
  8. 8.If 6x + 11 = 2x + 19, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  9. 9.If 6x + 12 = 42, what is x? (a) 6 (b) 30 (c) 9 (d) 5
  10. 10.If 3x + 19 = 37, what is x? (a) 6 (b) 7 (c) 5 (d) 18
  11. 11.If 3x + 26 = 68, what is x? (a) 13 (b) 42 (c) 15 (d) 14
  12. 12.If 9x − 31 = 23, what is x? (a) 7 (b) 5 (c) 6 (d) 54
  13. 13.If 3x + 1 = 2x + 4, what is x? (a) 3 (b) 5 (c) 2 (d) 4
  14. 14.If 8x − 10 = 102, what is x? (a) 15 (b) 13 (c) 112 (d) 14
  15. 15.If x/2 + 14 = 18, what is x? (a) 8 (b) 22 (c) 4 (d) 64
  16. 16.If 3x + 6 = 18, what is x? (a) 5 (b) 4 (c) 8 (d) 12
  17. 17.If 5x − 7 = 18, what is x? (a) 5 (b) 6 (c) 4 (d) 25
  18. 18.If 5x + 7 = 3x + 29, what is x? (a) 13 (b) 18 (c) 12 (d) 11
  19. 19.If 9x + 19 = 55, what is x? (a) 4 (b) 5 (c) 3 (d) 36
  20. 20.If x/5 + 14 = 26, what is x? (a) 12 (b) 116 (c) 200 (d) 60
  21. 21.If 6x − 2 = 10, what is x? (a) 3 (b) 2 (c) 1 (d) 12
  22. 22.If 5x − 5 = 5, what is x? (a) 10 (b) 2 (c) 1 (d) 3
  23. 23.If x/2 + 13 = 17, what is x? (a) 4 (b) 60 (c) 21 (d) 8
  24. 24.If 8x − 28 = 36, what is x? (a) 64 (b) 8 (c) 9 (d) 1
  25. 25.If 8x + 9 = x + 58, what is x? (a) 9 (b) 7 (c) 8 (d) 6
  26. 26.If 8x − 92 = 4, what is x? (a) 96 (b) 12 (c) 13 (d) 11
  27. 27.If 3x + 11 = 2x + 14, what is x? (a) 3 (b) 4 (c) 5 (d) 25
  28. 28.If 4x + 26 = 78, what is x? (a) 14 (b) 26 (c) 13 (d) 52
  29. 29.If 4x + 16 = 3x + 20, what is x? (a) 5 (b) 36 (c) 4 (d) 6
  30. 30.If 6x + 7 = 25, what is x? (a) 4 (b) 3 (c) 18 (d) 2
  31. 31.If 5x + 6 = 4x + 16, what is x? (a) 11 (b) 10 (c) 12 (d) 22
  32. 32.If x/4 + 14 = 17, what is x? (a) 12 (b) 3 (c) 54 (d) 124
  33. 33.If x/2 + 4 = 15, what is x? (a) 26 (b) 11 (c) 38 (d) 22
  34. 34.If x/6 + 7 = 11, what is x? (a) 108 (b) 24 (c) 59 (d) 4
  35. 35.If 7x + 11 = 6x + 21, what is x? (a) 12 (b) 10 (c) 32 (d) 11
  36. 36.If 3x − 8 = 19, what is x? (a) 9 (b) 10 (c) 8 (d) 27
  37. 37.If 5x + 2 = 2x + 26, what is x? (a) 10 (b) 7 (c) 8 (d) 9
  38. 38.If x/6 + 6 = 14, what is x? (a) 48 (b) 78 (c) 8 (d) 120
  39. 39.If 4x + 19 = 43, what is x? (a) 24 (b) 5 (c) 7 (d) 6
  40. 40.If x/4 + 12 = 20, what is x? (a) 32 (b) 8 (c) 128 (d) 68

Answer key

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

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