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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 854 · 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 x/4 + 7 = 11, what is x? (a) 4 (b) 72 (c) 37 (d) 16
  2. 2.If 3x − 24 = 15, what is x? (a) 12 (b) 39 (c) 14 (d) 13
  3. 3.If 8x + 22 = 134, what is x? (a) 112 (b) 14 (c) 15 (d) 13
  4. 4.If x/5 + 5 = 11, what is x? (a) 6 (b) 30 (c) 80 (d) 50
  5. 5.If 6x + 1 = 85, what is x? (a) 84 (b) 14 (c) 15 (d) 13
  6. 6.If 4x + 16 = x + 40, what is x? (a) 10 (b) 9 (c) 8 (d) 7
  7. 7.If 5x − 44 = 6, what is x? (a) 9 (b) 10 (c) 11 (d) 50
  8. 8.If 2x − 1 = 7, what is x? (a) 8 (b) 5 (c) 4 (d) 3
  9. 9.If 6x − 44 = 34, what is x? (a) 13 (b) 14 (c) 12 (d) 78
  10. 10.If 6x + 19 = 3x + 46, what is x? (a) 11 (b) 3 (c) 9 (d) 10
  11. 11.If 2x − 7 = 11, what is x? (a) 10 (b) 9 (c) 18 (d) 2
  12. 12.If 9x + 17 = 44, what is x? (a) 27 (b) 4 (c) 3 (d) 2
  13. 13.If 5x + 11 = 4x + 16, what is x? (a) 27 (b) 6 (c) 7 (d) 5
  14. 14.If 4x + 17 = x + 26, what is x? (a) 2 (b) 4 (c) 3 (d) 5
  15. 15.If 3x + 8 = x + 16, what is x? (a) 12 (b) 2 (c) 5 (d) 4
  16. 16.If x/2 + 13 = 16, what is x? (a) 6 (b) 58 (c) 3 (d) 19
  17. 17.If x/5 + 14 = 22, what is x? (a) 8 (b) 40 (c) 180 (d) 96
  18. 18.If x/6 + 15 = 21, what is x? (a) 111 (b) 36 (c) 6 (d) 216
  19. 19.If x/5 + 11 = 17, what is x? (a) 6 (b) 74 (c) 140 (d) 30
  20. 20.If 5x + 15 = 65, what is x? (a) 50 (b) 10 (c) 16 (d) 11
  21. 21.If x/3 + 11 = 16, what is x? (a) 15 (b) 5 (c) 37 (d) 81
  22. 22.If 8x + 22 = 70, what is x? (a) 48 (b) 7 (c) 5 (d) 6
  23. 23.If 5x + 8 = 4x + 16, what is x? (a) 9 (b) 10 (c) 24 (d) 8
  24. 24.If 6x − 54 = 6, what is x? (a) 10 (b) 9 (c) 11 (d) 60
  25. 25.If 5x + 8 = 3x + 22, what is x? (a) 8 (b) 9 (c) 15 (d) 7
  26. 26.If x/5 + 7 = 16, what is x? (a) 115 (b) 9 (c) 73 (d) 45
  27. 27.If x/2 + 1 = 13, what is x? (a) 25 (b) 12 (c) 28 (d) 24
  28. 28.If 8x + 10 = 74, what is x? (a) 7 (b) 64 (c) 8 (d) 9
  29. 29.If 7x + 7 = 5x + 25, what is x? (a) 9 (b) 16 (c) 11 (d) 10
  30. 30.If 4x + 12 = 24, what is x? (a) 9 (b) 12 (c) 3 (d) 4
  31. 31.If 5x + 8 = 78, what is x? (a) 70 (b) 15 (c) 14 (d) 13
  32. 32.If 8x + 9 = 33, what is x? (a) 24 (b) 2 (c) 4 (d) 3
  33. 33.If x/5 + 7 = 19, what is x? (a) 12 (b) 130 (c) 88 (d) 60
  34. 34.If 8x − 32 = 8, what is x? (a) 4 (b) 5 (c) 6 (d) 40
  35. 35.If 3x + 23 = 35, what is x? (a) 5 (b) 4 (c) 3 (d) 12
  36. 36.If 7x + 7 = 98, what is x? (a) 15 (b) 91 (c) 13 (d) 14
  37. 37.If 9x − 55 = 8, what is x? (a) 63 (b) 7 (c) 8 (d) 6
  38. 38.If 6x − 2 = 22, what is x? (a) 24 (b) 4 (c) 3 (d) 5
  39. 39.If 2x + 17 = 25, what is x? (a) 21 (b) 4 (c) 5 (d) 8
  40. 40.If 3x + 3 = 48, what is x? (a) 17 (b) 45 (c) 16 (d) 15

Answer key

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

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