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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 873 · 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 4x + 18 = 38, what is x? (a) 20 (b) 14 (c) 6 (d) 5
  2. 2.If 3x − 8 = 4, what is x? (a) 4 (b) 5 (c) 3 (d) 12
  3. 3.If 8x + 21 = 93, what is x? (a) 9 (b) 8 (c) 10 (d) 72
  4. 4.If 8x − 41 = 63, what is x? (a) 12 (b) 13 (c) 14 (d) 104
  5. 5.If 4x + 18 = 3x + 19, what is x? (a) 2 (b) 37 (c) 3 (d) 1
  6. 6.If 5x − 39 = 21, what is x? (a) 11 (b) 13 (c) 12 (d) 60
  7. 7.If 8x + 12 = 5x + 33, what is x? (a) 9 (b) 15 (c) 8 (d) 7
  8. 8.If 2x − 8 = 16, what is x? (a) 24 (b) 13 (c) 12 (d) 4
  9. 9.If x/6 + 14 = 22, what is x? (a) 216 (b) 8 (c) 48 (d) 118
  10. 10.If 9x + 16 = 133, what is x? (a) 12 (b) 14 (c) 13 (d) 117
  11. 11.If 8x + 5 = 5x + 17, what is x? (a) 5 (b) 6 (c) 3 (d) 4
  12. 12.If 2x + 13 = 23, what is x? (a) 18 (b) 6 (c) 5 (d) 10
  13. 13.If x/3 + 11 = 19, what is x? (a) 8 (b) 90 (c) 24 (d) 46
  14. 14.If 4x − 4 = 16, what is x? (a) 20 (b) 5 (c) 6 (d) 3
  15. 15.If 8x − 3 = 85, what is x? (a) 10 (b) 12 (c) 88 (d) 11
  16. 16.If x/5 + 6 = 8, what is x? (a) 34 (b) 2 (c) 10 (d) 70
  17. 17.If 3x + 7 = 34, what is x? (a) 9 (b) 10 (c) 8 (d) 27
  18. 18.If x/5 + 5 = 17, what is x? (a) 110 (b) 12 (c) 80 (d) 60
  19. 19.If 5x + 1 = 41, what is x? (a) 7 (b) 40 (c) 9 (d) 8
  20. 20.If 2x − 24 = 6, what is x? (a) 15 (b) 30 (c) 16 (d) 14
  21. 21.If 9x + 21 = 75, what is x? (a) 54 (b) 7 (c) 5 (d) 6
  22. 22.If x/2 + 3 = 10, what is x? (a) 26 (b) 14 (c) 17 (d) 7
  23. 23.If x/2 + 3 = 5, what is x? (a) 2 (b) 7 (c) 16 (d) 4
  24. 24.If 2x − 1 = 21, what is x? (a) 10 (b) 12 (c) 22 (d) 11
  25. 25.If 7x − 23 = 40, what is x? (a) 63 (b) 8 (c) 9 (d) 10
  26. 26.If 2x + 7 = 27, what is x? (a) 11 (b) 10 (c) 20 (d) 17
  27. 27.If 5x + 4 = 59, what is x? (a) 11 (b) 12 (c) 55 (d) 10
  28. 28.If x/4 + 15 = 26, what is x? (a) 11 (b) 164 (c) 44 (d) 89
  29. 29.If x/5 + 14 = 24, what is x? (a) 10 (b) 106 (c) 190 (d) 50
  30. 30.If 8x − 74 = 22, what is x? (a) 11 (b) 96 (c) 13 (d) 12
  31. 31.If 2x + 8 = 14, what is x? (a) 11 (b) 3 (c) 4 (d) 6
  32. 32.If x/4 + 7 = 19, what is x? (a) 69 (b) 104 (c) 12 (d) 48
  33. 33.If 5x − 2 = 53, what is x? (a) 55 (b) 10 (c) 11 (d) 12
  34. 34.If x/3 + 10 = 21, what is x? (a) 11 (b) 33 (c) 53 (d) 93
  35. 35.If 4x + 10 = x + 13, what is x? (a) 3 (b) 1 (c) 4 (d) 2
  36. 36.If x/5 + 4 = 13, what is x? (a) 85 (b) 61 (c) 9 (d) 45
  37. 37.If 6x + 4 = 58, what is x? (a) 54 (b) 9 (c) 8 (d) 10
  38. 38.If 6x + 14 = 2x + 26, what is x? (a) 5 (b) 10 (c) 3 (d) 4
  39. 39.If 3x − 5 = 4, what is x? (a) 2 (b) 9 (c) 3 (d) 4
  40. 40.If x/6 + 11 = 15, what is x? (a) 4 (b) 156 (c) 79 (d) 24

Answer key

  1. 5
  2. 4
  3. 9
  4. 13
  5. 1
  6. 12
  7. 7
  8. 12
  9. 48
  10. 13
  11. 4
  12. 5
  13. 24
  14. 5
  15. 11
  16. 10
  17. 9
  18. 60
  19. 8
  20. 15
  21. 6
  22. 14
  23. 4
  24. 11
  25. 9
  26. 10
  27. 11
  28. 44
  29. 50
  30. 12
  31. 3
  32. 48
  33. 11
  34. 33
  35. 1
  36. 45
  37. 9
  38. 3
  39. 3
  40. 24

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