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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 947 · 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 5x − 13 = 7, what is x? (a) 4 (b) 3 (c) 5 (d) 20
  2. 2.If 7x − 80 = 18, what is x? (a) 98 (b) 14 (c) 15 (d) 13
  3. 3.If x/6 + 3 = 5, what is x? (a) 27 (b) 2 (c) 48 (d) 12
  4. 4.If x/2 + 6 = 16, what is x? (a) 26 (b) 20 (c) 44 (d) 10
  5. 5.If 6x − 83 = 7, what is x? (a) 15 (b) 16 (c) 14 (d) 90
  6. 6.If x/2 + 4 = 10, what is x? (a) 6 (b) 16 (c) 12 (d) 28
  7. 7.If 5x + 9 = 29, what is x? (a) 20 (b) 4 (c) 3 (d) 5
  8. 8.If 8x + 1 = 4x + 13, what is x? (a) 5 (b) 1 (c) 3 (d) 4
  9. 9.If x/5 + 3 = 11, what is x? (a) 8 (b) 40 (c) 52 (d) 70
  10. 10.If 6x − 30 = 60, what is x? (a) 15 (b) 5 (c) 90 (d) 16
  11. 11.If 7x + 7 = 42, what is x? (a) 6 (b) 5 (c) 7 (d) 35
  12. 12.If 4x + 18 = x + 27, what is x? (a) 4 (b) 15 (c) 5 (d) 3
  13. 13.If 7x + 2 = 3x + 46, what is x? (a) 12 (b) 13 (c) 10 (d) 11
  14. 14.If x/2 + 8 = 17, what is x? (a) 18 (b) 26 (c) 50 (d) 9
  15. 15.If 5x + 22 = 37, what is x? (a) 4 (b) 2 (c) 15 (d) 3
  16. 16.If x/5 + 10 = 16, what is x? (a) 70 (b) 130 (c) 30 (d) 6
  17. 17.If x/5 + 10 = 12, what is x? (a) 50 (b) 110 (c) 10 (d) 2
  18. 18.If 4x + 23 = 83, what is x? (a) 60 (b) 15 (c) 16 (d) 14
  19. 19.If 2x + 12 = 40, what is x? (a) 15 (b) 28 (c) 14 (d) 26
  20. 20.If 4x + 15 = x + 33, what is x? (a) 7 (b) 8 (c) 6 (d) 16
  21. 21.If 2x − 11 = 5, what is x? (a) 7 (b) 8 (c) 9 (d) 16
  22. 22.If 2x − 6 = 2, what is x? (a) 4 (b) 8 (c) 5 (d) 3
  23. 23.If 5x + 6 = 21, what is x? (a) 4 (b) 15 (c) 3 (d) 2
  24. 24.If 7x − 23 = 26, what is x? (a) 7 (b) 6 (c) 8 (d) 49
  25. 25.If x/6 + 1 = 12, what is x? (a) 11 (b) 66 (c) 71 (d) 78
  26. 26.If 9x − 16 = 2, what is x? (a) 3 (b) 2 (c) 1 (d) 18
  27. 27.If 4x + 13 = 3x + 21, what is x? (a) 34 (b) 9 (c) 8 (d) 10
  28. 28.If 6x + 11 = 2x + 55, what is x? (a) 13 (b) 11 (c) 10 (d) 12
  29. 29.If 4x + 4 = 3x + 11, what is x? (a) 8 (b) 15 (c) 1 (d) 7
  30. 30.If 3x + 1 = x + 9, what is x? (a) 4 (b) 6 (c) 2 (d) 5
  31. 31.If 9x − 31 = 59, what is x? (a) 9 (b) 11 (c) 10 (d) 90
  32. 32.If 9x + 4 = 49, what is x? (a) 5 (b) 6 (c) 4 (d) 45
  33. 33.If 3x + 20 = 59, what is x? (a) 39 (b) 13 (c) 12 (d) 14
  34. 34.If x/4 + 10 = 12, what is x? (a) 88 (b) 2 (c) 8 (d) 38
  35. 35.If x/4 + 5 = 16, what is x? (a) 11 (b) 44 (c) 84 (d) 59
  36. 36.If 9x + 2 = 20, what is x? (a) 2 (b) 18 (c) 1 (d) 3
  37. 37.If 7x + 2 = 6x + 5, what is x? (a) 4 (b) 7 (c) 5 (d) 3
  38. 38.If 5x + 5 = 2x + 20, what is x? (a) 4 (b) 7 (c) 5 (d) 6
  39. 39.If 4x + 13 = 33, what is x? (a) 5 (b) 4 (c) 6 (d) 20
  40. 40.If x/5 + 3 = 15, what is x? (a) 12 (b) 72 (c) 60 (d) 90

Answer key

  1. 4
  2. 14
  3. 12
  4. 20
  5. 15
  6. 12
  7. 4
  8. 3
  9. 40
  10. 15
  11. 5
  12. 3
  13. 11
  14. 18
  15. 3
  16. 30
  17. 10
  18. 15
  19. 14
  20. 6
  21. 8
  22. 4
  23. 3
  24. 7
  25. 66
  26. 2
  27. 8
  28. 11
  29. 7
  30. 4
  31. 10
  32. 5
  33. 13
  34. 8
  35. 44
  36. 2
  37. 3
  38. 5
  39. 5
  40. 60

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