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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 903 · 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 6x + 14 = 5x + 17, what is x? (a) 5 (b) 4 (c) 31 (d) 3
  2. 2.If 9x + 20 = 137, what is x? (a) 13 (b) 14 (c) 12 (d) 117
  3. 3.If x/4 + 13 = 16, what is x? (a) 3 (b) 12 (c) 51 (d) 116
  4. 4.If x/6 + 8 = 10, what is x? (a) 52 (b) 12 (c) 2 (d) 108
  5. 5.If 8x + 6 = 6x + 30, what is x? (a) 13 (b) 18 (c) 14 (d) 12
  6. 6.If 7x + 6 = 90, what is x? (a) 13 (b) 11 (c) 12 (d) 84
  7. 7.If 7x + 12 = 110, what is x? (a) 13 (b) 98 (c) 14 (d) 15
  8. 8.If 3x + 6 = 2x + 7, what is x? (a) 1 (b) 2 (c) 3 (d) 13
  9. 9.If 7x − 42 = 28, what is x? (a) 10 (b) 70 (c) 11 (d) 9
  10. 10.If x/2 + 5 = 7, what is x? (a) 2 (b) 9 (c) 4 (d) 24
  11. 11.If 9x + 2 = 65, what is x? (a) 63 (b) 8 (c) 7 (d) 6
  12. 12.If 4x − 5 = 27, what is x? (a) 32 (b) 9 (c) 7 (d) 8
  13. 13.If 2x + 1 = 17, what is x? (a) 9 (b) 16 (c) 7 (d) 8
  14. 14.If 9x − 45 = 9, what is x? (a) 5 (b) 7 (c) 6 (d) 54
  15. 15.If 7x + 3 = 5x + 15, what is x? (a) 7 (b) 9 (c) 6 (d) 1
  16. 16.If 6x + 13 = x + 23, what is x? (a) 2 (b) 3 (c) 1 (d) 4
  17. 17.If x/5 + 13 = 25, what is x? (a) 12 (b) 112 (c) 60 (d) 190
  18. 18.If 8x + 21 = 53, what is x? (a) 5 (b) 3 (c) 32 (d) 4
  19. 19.If 2x − 5 = 13, what is x? (a) 10 (b) 18 (c) 9 (d) 4
  20. 20.If 8x + 19 = 5x + 46, what is x? (a) 8 (b) 10 (c) 9 (d) 11
  21. 21.If 3x + 14 = x + 24, what is x? (a) 7 (b) 6 (c) 5 (d) 19
  22. 22.If 7x + 19 = 6x + 28, what is x? (a) 47 (b) 11 (c) 9 (d) 10
  23. 23.If 9x + 29 = 155, what is x? (a) 14 (b) 126 (c) 15 (d) 13
  24. 24.If 6x + 28 = 46, what is x? (a) 2 (b) 18 (c) 3 (d) 4
  25. 25.If 8x − 19 = 53, what is x? (a) 72 (b) 8 (c) 9 (d) 10
  26. 26.If 6x − 20 = 46, what is x? (a) 10 (b) 66 (c) 11 (d) 12
  27. 27.If 2x − 10 = 8, what is x? (a) 18 (b) 9 (c) 10 (d) 8
  28. 28.If 4x + 3 = 2x + 11, what is x? (a) 7 (b) 5 (c) 6 (d) 4
  29. 29.If 9x + 15 = 132, what is x? (a) 12 (b) 117 (c) 14 (d) 13
  30. 30.If 8x + 18 = 7x + 26, what is x? (a) 10 (b) 44 (c) 9 (d) 8
  31. 31.If 7x + 24 = 59, what is x? (a) 6 (b) 4 (c) 35 (d) 5
  32. 32.If x/4 + 14 = 24, what is x? (a) 10 (b) 152 (c) 82 (d) 40
  33. 33.If x/2 + 8 = 19, what is x? (a) 54 (b) 30 (c) 11 (d) 22
  34. 34.If 6x + 23 = 47, what is x? (a) 24 (b) 4 (c) 5 (d) 3
  35. 35.If 2x − 1 = 9, what is x? (a) 4 (b) 10 (c) 5 (d) 6
  36. 36.If 8x + 4 = 4x + 24, what is x? (a) 5 (b) 7 (c) 6 (d) 4
  37. 37.If 5x − 35 = 15, what is x? (a) 9 (b) 11 (c) 50 (d) 10
  38. 38.If 5x + 1 = 2x + 25, what is x? (a) 9 (b) 7 (c) 10 (d) 8
  39. 39.If x/4 + 7 = 10, what is x? (a) 3 (b) 33 (c) 68 (d) 12
  40. 40.If 8x + 13 = 133, what is x? (a) 16 (b) 120 (c) 14 (d) 15

Answer key

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

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