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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 949 · 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/5 + 4 = 8, what is x? (a) 36 (b) 4 (c) 20 (d) 60
  2. 2.If x/2 + 9 = 13, what is x? (a) 4 (b) 44 (c) 8 (d) 17
  3. 3.If x/5 + 4 = 14, what is x? (a) 10 (b) 90 (c) 50 (d) 66
  4. 4.If 6x + 20 = 50, what is x? (a) 4 (b) 30 (c) 6 (d) 5
  5. 5.If x/3 + 10 = 21, what is x? (a) 11 (b) 53 (c) 93 (d) 33
  6. 6.If 8x + 10 = 2x + 82, what is x? (a) 11 (b) 14 (c) 12 (d) 13
  7. 7.If 8x + 7 = 3x + 62, what is x? (a) 12 (b) 13 (c) 11 (d) 5
  8. 8.If 4x + 14 = 70, what is x? (a) 21 (b) 56 (c) 14 (d) 15
  9. 9.If 4x + 9 = x + 27, what is x? (a) 7 (b) 6 (c) 12 (d) 8
  10. 10.If 6x + 23 = 41, what is x? (a) 4 (b) 18 (c) 3 (d) 2
  11. 11.If 9x − 4 = 32, what is x? (a) 3 (b) 4 (c) 36 (d) 5
  12. 12.If 7x + 5 = 6x + 16, what is x? (a) 13 (b) 11 (c) 21 (d) 12
  13. 13.If x/2 + 12 = 24, what is x? (a) 72 (b) 24 (c) 12 (d) 36
  14. 14.If 6x + 3 = x + 18, what is x? (a) 5 (b) 3 (c) 2 (d) 4
  15. 15.If 5x − 36 = 24, what is x? (a) 60 (b) 12 (c) 11 (d) 13
  16. 16.If 5x + 3 = 63, what is x? (a) 13 (b) 11 (c) 12 (d) 60
  17. 17.If 8x + 21 = 45, what is x? (a) 4 (b) 24 (c) 2 (d) 3
  18. 18.If 2x + 26 = 50, what is x? (a) 24 (b) 12 (c) 38 (d) 13
  19. 19.If x/2 + 5 = 12, what is x? (a) 14 (b) 7 (c) 19 (d) 34
  20. 20.If 7x + 4 = 53, what is x? (a) 49 (b) 8 (c) 7 (d) 6
  21. 21.If 5x − 19 = 6, what is x? (a) 4 (b) 25 (c) 5 (d) 6
  22. 22.If 5x + 4 = 4x + 12, what is x? (a) 9 (b) 8 (c) 10 (d) 16
  23. 23.If x/3 + 14 = 23, what is x? (a) 111 (b) 27 (c) 9 (d) 55
  24. 24.If 9x + 16 = 5x + 64, what is x? (a) 20 (b) 12 (c) 13 (d) 14
  25. 25.If 5x + 5 = 70, what is x? (a) 14 (b) 13 (c) 65 (d) 15
  26. 26.If 3x + 17 = 2x + 23, what is x? (a) 6 (b) 8 (c) 7 (d) 40
  27. 27.If x/2 + 6 = 14, what is x? (a) 40 (b) 16 (c) 8 (d) 22
  28. 28.If 6x + 4 = 3x + 22, what is x? (a) 6 (b) 8 (c) 2 (d) 7
  29. 29.If 8x − 14 = 2, what is x? (a) 1 (b) 3 (c) 2 (d) 16
  30. 30.If 6x − 5 = 37, what is x? (a) 42 (b) 6 (c) 8 (d) 7
  31. 31.If x/4 + 14 = 20, what is x? (a) 136 (b) 66 (c) 6 (d) 24
  32. 32.If 2x − 19 = 1, what is x? (a) 11 (b) 9 (c) 10 (d) 20
  33. 33.If 5x + 1 = 51, what is x? (a) 50 (b) 11 (c) 9 (d) 10
  34. 34.If 7x − 87 = 11, what is x? (a) 13 (b) 15 (c) 98 (d) 14
  35. 35.If 9x − 11 = 43, what is x? (a) 54 (b) 5 (c) 6 (d) 7
  36. 36.If 5x + 17 = 2x + 26, what is x? (a) 3 (b) 2 (c) 5 (d) 4
  37. 37.If 6x + 29 = 53, what is x? (a) 3 (b) 5 (c) 4 (d) 24
  38. 38.If 9x − 61 = 47, what is x? (a) 108 (b) 12 (c) 11 (d) 13
  39. 39.If 4x + 24 = 56, what is x? (a) 9 (b) 32 (c) 8 (d) 20
  40. 40.If 7x + 16 = 79, what is x? (a) 10 (b) 8 (c) 9 (d) 63

Answer key

  1. 20
  2. 8
  3. 50
  4. 5
  5. 33
  6. 12
  7. 11
  8. 14
  9. 6
  10. 3
  11. 4
  12. 11
  13. 24
  14. 3
  15. 12
  16. 12
  17. 3
  18. 12
  19. 14
  20. 7
  21. 5
  22. 8
  23. 27
  24. 12
  25. 13
  26. 6
  27. 16
  28. 6
  29. 2
  30. 7
  31. 24
  32. 10
  33. 10
  34. 14
  35. 6
  36. 3
  37. 4
  38. 12
  39. 8
  40. 9

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