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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 876 · 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 + 27 = 99, what is x? (a) 10 (b) 9 (c) 72 (d) 8
  2. 2.If 9x − 12 = 15, what is x? (a) 2 (b) 27 (c) 3 (d) 4
  3. 3.If 3x + 20 = x + 28, what is x? (a) 2 (b) 4 (c) 24 (d) 5
  4. 4.If 3x − 32 = 4, what is x? (a) 13 (b) 12 (c) 11 (d) 36
  5. 5.If 2x − 7 = 1, what is x? (a) 8 (b) 5 (c) 3 (d) 4
  6. 6.If 8x − 57 = 47, what is x? (a) 14 (b) 104 (c) 12 (d) 13
  7. 7.If 9x + 1 = 19, what is x? (a) 18 (b) 1 (c) 3 (d) 2
  8. 8.If 2x + 5 = 13, what is x? (a) 8 (b) 9 (c) 5 (d) 4
  9. 9.If x/3 + 6 = 13, what is x? (a) 57 (b) 7 (c) 21 (d) 33
  10. 10.If 7x + 5 = 3x + 29, what is x? (a) 7 (b) 5 (c) 6 (d) 8
  11. 11.If 3x + 11 = 44, what is x? (a) 12 (b) 10 (c) 33 (d) 11
  12. 12.If 6x − 9 = 15, what is x? (a) 24 (b) 5 (c) 4 (d) 1
  13. 13.If 4x + 29 = 61, what is x? (a) 32 (b) 9 (c) 7 (d) 8
  14. 14.If 6x − 1 = 41, what is x? (a) 7 (b) 6 (c) 42 (d) 8
  15. 15.If 2x + 27 = 35, what is x? (a) 5 (b) 8 (c) 31 (d) 4
  16. 16.If 7x + 2 = x + 14, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  17. 17.If 5x + 7 = 17, what is x? (a) 3 (b) 10 (c) 1 (d) 2
  18. 18.If 3x + 19 = 2x + 21, what is x? (a) 40 (b) 3 (c) 4 (d) 2
  19. 19.If 6x + 3 = 2x + 47, what is x? (a) 12 (b) 13 (c) 11 (d) 10
  20. 20.If 2x − 4 = 18, what is x? (a) 11 (b) 12 (c) 7 (d) 22
  21. 21.If x/2 + 14 = 23, what is x? (a) 32 (b) 9 (c) 18 (d) 74
  22. 22.If 3x − 1 = 23, what is x? (a) 24 (b) 9 (c) 7 (d) 8
  23. 23.If x/5 + 6 = 17, what is x? (a) 55 (b) 115 (c) 11 (d) 79
  24. 24.If 9x − 17 = 19, what is x? (a) 36 (b) 5 (c) 3 (d) 4
  25. 25.If 2x − 8 = 6, what is x? (a) 8 (b) 7 (c) 6 (d) 14
  26. 26.If 9x + 9 = 7x + 23, what is x? (a) 9 (b) 7 (c) 16 (d) 8
  27. 27.If x/5 + 10 = 20, what is x? (a) 10 (b) 150 (c) 90 (d) 50
  28. 28.If x/3 + 12 = 23, what is x? (a) 105 (b) 11 (c) 33 (d) 57
  29. 29.If x/4 + 6 = 17, what is x? (a) 62 (b) 11 (c) 92 (d) 44
  30. 30.If 2x − 2 = 2, what is x? (a) 1 (b) 3 (c) 2 (d) 4
  31. 31.If x/5 + 2 = 13, what is x? (a) 75 (b) 11 (c) 55 (d) 63
  32. 32.If x/6 + 4 = 13, what is x? (a) 54 (b) 102 (c) 74 (d) 9
  33. 33.If 5x + 11 = 21, what is x? (a) 2 (b) 1 (c) 10 (d) 3
  34. 34.If 4x + 6 = 58, what is x? (a) 52 (b) 13 (c) 14 (d) 16
  35. 35.If 2x + 14 = 30, what is x? (a) 16 (b) 9 (c) 22 (d) 8
  36. 36.If x/2 + 2 = 13, what is x? (a) 22 (b) 24 (c) 30 (d) 11
  37. 37.If x/6 + 4 = 7, what is x? (a) 3 (b) 38 (c) 18 (d) 66
  38. 38.If 9x − 39 = 42, what is x? (a) 81 (b) 8 (c) 10 (d) 9
  39. 39.If 2x + 30 = 38, what is x? (a) 4 (b) 8 (c) 34 (d) 5
  40. 40.If 3x + 12 = 2x + 14, what is x? (a) 4 (b) 26 (c) 2 (d) 3

Answer key

  1. 9
  2. 3
  3. 4
  4. 12
  5. 4
  6. 13
  7. 2
  8. 4
  9. 21
  10. 6
  11. 11
  12. 4
  13. 8
  14. 7
  15. 4
  16. 2
  17. 2
  18. 2
  19. 11
  20. 11
  21. 18
  22. 8
  23. 55
  24. 4
  25. 7
  26. 7
  27. 50
  28. 33
  29. 44
  30. 2
  31. 55
  32. 54
  33. 2
  34. 13
  35. 8
  36. 22
  37. 18
  38. 9
  39. 4
  40. 2

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