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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 959 · 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 + 2 = 7x + 8, what is x? (a) 8 (b) 6 (c) 7 (d) 10
  2. 2.If 4x − 41 = 11, what is x? (a) 14 (b) 52 (c) 13 (d) 12
  3. 3.If x/4 + 6 = 16, what is x? (a) 10 (b) 88 (c) 58 (d) 40
  4. 4.If 7x + 3 = 6x + 5, what is x? (a) 8 (b) 3 (c) 4 (d) 2
  5. 5.If 9x + 3 = 138, what is x? (a) 135 (b) 14 (c) 16 (d) 15
  6. 6.If x/5 + 7 = 15, what is x? (a) 40 (b) 68 (c) 8 (d) 110
  7. 7.If 2x − 13 = 5, what is x? (a) 9 (b) 8 (c) 10 (d) 18
  8. 8.If 8x + 12 = 116, what is x? (a) 14 (b) 16 (c) 104 (d) 13
  9. 9.If x/5 + 8 = 15, what is x? (a) 7 (b) 35 (c) 67 (d) 115
  10. 10.If 5x + 26 = 51, what is x? (a) 6 (b) 25 (c) 4 (d) 5
  11. 11.If 6x − 13 = 17, what is x? (a) 5 (b) 6 (c) 30 (d) 4
  12. 12.If 5x + 20 = 3x + 30, what is x? (a) 25 (b) 7 (c) 5 (d) 6
  13. 13.If 4x + 3 = x + 33, what is x? (a) 12 (b) 11 (c) 10 (d) 6
  14. 14.If 5x + 28 = 68, what is x? (a) 7 (b) 40 (c) 8 (d) 9
  15. 15.If 8x + 8 = 5x + 32, what is x? (a) 7 (b) 8 (c) 10 (d) 9
  16. 16.If 7x + 5 = 6x + 8, what is x? (a) 13 (b) 4 (c) 5 (d) 3
  17. 17.If 7x + 7 = 6x + 17, what is x? (a) 12 (b) 11 (c) 10 (d) 24
  18. 18.If x/3 + 2 = 4, what is x? (a) 2 (b) 6 (c) 10 (d) 18
  19. 19.If x/3 + 7 = 10, what is x? (a) 23 (b) 3 (c) 51 (d) 9
  20. 20.If x/4 + 9 = 21, what is x? (a) 12 (b) 48 (c) 75 (d) 120
  21. 21.If 5x + 6 = 81, what is x? (a) 14 (b) 16 (c) 15 (d) 75
  22. 22.If 8x + 3 = 75, what is x? (a) 72 (b) 10 (c) 8 (d) 9
  23. 23.If x/2 + 7 = 15, what is x? (a) 16 (b) 44 (c) 8 (d) 23
  24. 24.If 5x + 11 = 66, what is x? (a) 55 (b) 10 (c) 11 (d) 12
  25. 25.If 4x − 12 = 32, what is x? (a) 12 (b) 5 (c) 44 (d) 11
  26. 26.If x/2 + 3 = 13, what is x? (a) 23 (b) 20 (c) 32 (d) 10
  27. 27.If 7x + 9 = 4x + 27, what is x? (a) 12 (b) 8 (c) 6 (d) 7
  28. 28.If 6x + 21 = 105, what is x? (a) 21 (b) 84 (c) 14 (d) 15
  29. 29.If x/6 + 3 = 13, what is x? (a) 10 (b) 60 (c) 75 (d) 96
  30. 30.If x/4 + 12 = 17, what is x? (a) 5 (b) 116 (c) 20 (d) 56
  31. 31.If 8x + 10 = 3x + 20, what is x? (a) 2 (b) 6 (c) 3 (d) 4
  32. 32.If 7x + 27 = 104, what is x? (a) 11 (b) 12 (c) 10 (d) 77
  33. 33.If x/2 + 8 = 19, what is x? (a) 11 (b) 54 (c) 22 (d) 30
  34. 34.If 8x − 55 = 41, what is x? (a) 12 (b) 96 (c) 13 (d) 11
  35. 35.If x/6 + 10 = 13, what is x? (a) 3 (b) 68 (c) 138 (d) 18
  36. 36.If 6x + 9 = 4x + 23, what is x? (a) 8 (b) 7 (c) 16 (d) 9
  37. 37.If 3x + 1 = x + 3, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  38. 38.If 2x − 19 = 5, what is x? (a) 24 (b) 13 (c) 11 (d) 12
  39. 39.If x/4 + 6 = 9, what is x? (a) 60 (b) 30 (c) 12 (d) 3
  40. 40.If 2x − 7 = 19, what is x? (a) 6 (b) 14 (c) 13 (d) 26

Answer key

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

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