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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 908 · 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 7x + 6 = 4x + 24, what is x? (a) 7 (b) 6 (c) 8 (d) 10
  2. 2.If 5x + 14 = x + 18, what is x? (a) 8 (b) 2 (c) 3 (d) 1
  3. 3.If x/3 + 7 = 16, what is x? (a) 9 (b) 69 (c) 41 (d) 27
  4. 4.If 4x + 8 = 20, what is x? (a) 3 (b) 7 (c) 12 (d) 4
  5. 5.If 6x + 3 = 3x + 9, what is x? (a) 4 (b) 1 (c) 2 (d) 3
  6. 6.If x/4 + 15 = 18, what is x? (a) 57 (b) 12 (c) 3 (d) 132
  7. 7.If x/4 + 3 = 14, what is x? (a) 53 (b) 44 (c) 11 (d) 68
  8. 8.If x/4 + 6 = 17, what is x? (a) 11 (b) 92 (c) 62 (d) 44
  9. 9.If 7x − 40 = 65, what is x? (a) 15 (b) 16 (c) 105 (d) 14
  10. 10.If 5x + 28 = 63, what is x? (a) 8 (b) 35 (c) 7 (d) 6
  11. 11.If 3x + 11 = 2x + 15, what is x? (a) 4 (b) 6 (c) 5 (d) 26
  12. 12.If 8x − 16 = 40, what is x? (a) 3 (b) 56 (c) 7 (d) 8
  13. 13.If 7x + 2 = 5x + 12, what is x? (a) 7 (b) 6 (c) 5 (d) 4
  14. 14.If 8x − 94 = 10, what is x? (a) 12 (b) 14 (c) 13 (d) 104
  15. 15.If 8x + 4 = 5x + 40, what is x? (a) 13 (b) 14 (c) 12 (d) 11
  16. 16.If 9x − 27 = 18, what is x? (a) 4 (b) 5 (c) 45 (d) 6
  17. 17.If 7x + 14 = 42, what is x? (a) 5 (b) 4 (c) 8 (d) 28
  18. 18.If 4x + 7 = 31, what is x? (a) 24 (b) 5 (c) 6 (d) 7
  19. 19.If 7x − 5 = 30, what is x? (a) 35 (b) 5 (c) 6 (d) 4
  20. 20.If 9x + 7 = 3x + 73, what is x? (a) 10 (b) 13 (c) 12 (d) 11
  21. 21.If 4x − 3 = 21, what is x? (a) 24 (b) 7 (c) 6 (d) 5
  22. 22.If 4x + 11 = 23, what is x? (a) 4 (b) 12 (c) 3 (d) 2
  23. 23.If 4x + 12 = 2x + 32, what is x? (a) 12 (b) 22 (c) 10 (d) 11
  24. 24.If x/3 + 11 = 20, what is x? (a) 93 (b) 9 (c) 49 (d) 27
  25. 25.If x/2 + 1 = 10, what is x? (a) 9 (b) 19 (c) 22 (d) 18
  26. 26.If x/2 + 15 = 22, what is x? (a) 74 (b) 7 (c) 29 (d) 14
  27. 27.If 6x + 10 = 82, what is x? (a) 72 (b) 11 (c) 12 (d) 13
  28. 28.If 9x + 20 = 47, what is x? (a) 4 (b) 2 (c) 27 (d) 3
  29. 29.If 6x − 10 = 2, what is x? (a) 3 (b) 1 (c) 12 (d) 2
  30. 30.If x/6 + 12 = 15, what is x? (a) 78 (b) 162 (c) 18 (d) 3
  31. 31.If 8x + 8 = 2x + 38, what is x? (a) 5 (b) 3 (c) 7 (d) 6
  32. 32.If 9x + 20 = x + 60, what is x? (a) 10 (b) 5 (c) 4 (d) 6
  33. 33.If 8x − 31 = 73, what is x? (a) 13 (b) 14 (c) 12 (d) 104
  34. 34.If 3x + 11 = 29, what is x? (a) 6 (b) 7 (c) 5 (d) 18
  35. 35.If x/3 + 2 = 14, what is x? (a) 12 (b) 48 (c) 40 (d) 36
  36. 36.If x/3 + 10 = 15, what is x? (a) 35 (b) 5 (c) 15 (d) 75
  37. 37.If 7x − 45 = 32, what is x? (a) 11 (b) 77 (c) 10 (d) 12
  38. 38.If 4x + 16 = x + 46, what is x? (a) 11 (b) 10 (c) 12 (d) 6
  39. 39.If 3x − 30 = 9, what is x? (a) 14 (b) 39 (c) 12 (d) 13
  40. 40.If 3x + 20 = x + 24, what is x? (a) 3 (b) 2 (c) 1 (d) 22

Answer key

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

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