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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 985 · 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 4x − 23 = 37, what is x? (a) 60 (b) 14 (c) 16 (d) 15
  2. 2.If 2x + 8 = 36, what is x? (a) 14 (b) 15 (c) 28 (d) 22
  3. 3.If x/3 + 15 = 21, what is x? (a) 48 (b) 6 (c) 18 (d) 108
  4. 4.If 8x + 3 = 4x + 47, what is x? (a) 13 (b) 10 (c) 11 (d) 12
  5. 5.If 3x + 3 = x + 27, what is x? (a) 6 (b) 15 (c) 12 (d) 13
  6. 6.If 4x + 10 = 70, what is x? (a) 20 (b) 15 (c) 16 (d) 60
  7. 7.If 2x + 8 = 26, what is x? (a) 17 (b) 18 (c) 10 (d) 9
  8. 8.If 7x + 15 = 99, what is x? (a) 11 (b) 13 (c) 12 (d) 84
  9. 9.If 4x + 30 = 50, what is x? (a) 6 (b) 20 (c) 5 (d) 4
  10. 10.If x/4 + 7 = 15, what is x? (a) 88 (b) 53 (c) 32 (d) 8
  11. 11.If 2x + 9 = 27, what is x? (a) 8 (b) 18 (c) 9 (d) 10
  12. 12.If 2x − 2 = 22, what is x? (a) 13 (b) 24 (c) 10 (d) 12
  13. 13.If 8x − 22 = 2, what is x? (a) 3 (b) 4 (c) 24 (d) 2
  14. 14.If 4x + 16 = 3x + 20, what is x? (a) 36 (b) 6 (c) 5 (d) 4
  15. 15.If 4x − 12 = 12, what is x? (a) 5 (b) 7 (c) 24 (d) 6
  16. 16.If 6x − 62 = 22, what is x? (a) 15 (b) 14 (c) 84 (d) 13
  17. 17.If 8x + 17 = 41, what is x? (a) 2 (b) 24 (c) 3 (d) 4
  18. 18.If 5x + 4 = 2x + 34, what is x? (a) 9 (b) 10 (c) 12 (d) 11
  19. 19.If x/4 + 6 = 10, what is x? (a) 4 (b) 64 (c) 34 (d) 16
  20. 20.If x/5 + 5 = 9, what is x? (a) 70 (b) 40 (c) 20 (d) 4
  21. 21.If 3x + 30 = 36, what is x? (a) 22 (b) 3 (c) 2 (d) 6
  22. 22.If 7x − 5 = 65, what is x? (a) 70 (b) 9 (c) 10 (d) 11
  23. 23.If 2x + 19 = 39, what is x? (a) 29 (b) 11 (c) 20 (d) 10
  24. 24.If 3x − 15 = 24, what is x? (a) 3 (b) 13 (c) 14 (d) 39
  25. 25.If x/6 + 7 = 11, what is x? (a) 108 (b) 4 (c) 24 (d) 59
  26. 26.If 3x + 17 = 38, what is x? (a) 21 (b) 8 (c) 6 (d) 7
  27. 27.If 3x − 2 = 10, what is x? (a) 5 (b) 4 (c) 3 (d) 12
  28. 28.If 5x + 4 = 2x + 28, what is x? (a) 8 (b) 9 (c) 7 (d) 10
  29. 29.If x/3 + 12 = 16, what is x? (a) 36 (b) 84 (c) 4 (d) 12
  30. 30.If 4x − 2 = 10, what is x? (a) 2 (b) 3 (c) 4 (d) 12
  31. 31.If x/3 + 13 = 20, what is x? (a) 21 (b) 99 (c) 7 (d) 47
  32. 32.If 5x + 9 = 29, what is x? (a) 5 (b) 3 (c) 4 (d) 20
  33. 33.If x/3 + 4 = 12, what is x? (a) 48 (b) 32 (c) 8 (d) 24
  34. 34.If x/4 + 13 = 15, what is x? (a) 47 (b) 2 (c) 112 (d) 8
  35. 35.If 5x − 1 = 14, what is x? (a) 3 (b) 2 (c) 15 (d) 4
  36. 36.If 9x + 5 = 50, what is x? (a) 6 (b) 4 (c) 5 (d) 45
  37. 37.If 3x − 5 = 4, what is x? (a) 9 (b) 4 (c) 2 (d) 3
  38. 38.If x/5 + 7 = 14, what is x? (a) 105 (b) 7 (c) 35 (d) 63
  39. 39.If 8x + 4 = 68, what is x? (a) 9 (b) 8 (c) 7 (d) 64
  40. 40.If 5x + 30 = 55, what is x? (a) 6 (b) 17 (c) 25 (d) 5

Answer key

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

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