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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 943 · 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 3x − 6 = 30, what is x? (a) 13 (b) 8 (c) 12 (d) 36
  2. 2.If 2x + 4 = 14, what is x? (a) 10 (b) 6 (c) 5 (d) 9
  3. 3.If x/4 + 10 = 22, what is x? (a) 48 (b) 128 (c) 12 (d) 78
  4. 4.If 7x + 13 = 5x + 37, what is x? (a) 12 (b) 2 (c) 13 (d) 25
  5. 5.If 5x − 34 = 1, what is x? (a) 8 (b) 35 (c) 7 (d) 6
  6. 6.If 3x + 12 = x + 18, what is x? (a) 3 (b) 5 (c) 15 (d) 4
  7. 7.If 7x + 9 = 107, what is x? (a) 98 (b) 13 (c) 14 (d) 15
  8. 8.If 6x + 26 = 50, what is x? (a) 24 (b) 4 (c) 3 (d) 5
  9. 9.If 4x + 17 = 77, what is x? (a) 60 (b) 16 (c) 15 (d) 14
  10. 10.If 8x + 5 = 117, what is x? (a) 14 (b) 112 (c) 13 (d) 15
  11. 11.If 9x + 6 = 2x + 76, what is x? (a) 12 (b) 9 (c) 10 (d) 11
  12. 12.If x/2 + 8 = 15, what is x? (a) 46 (b) 7 (c) 22 (d) 14
  13. 13.If 8x − 14 = 10, what is x? (a) 4 (b) 2 (c) 24 (d) 3
  14. 14.If x/5 + 15 = 27, what is x? (a) 60 (b) 12 (c) 210 (d) 120
  15. 15.If x/2 + 15 = 23, what is x? (a) 16 (b) 8 (c) 76 (d) 31
  16. 16.If 7x + 15 = 36, what is x? (a) 4 (b) 21 (c) 2 (d) 3
  17. 17.If 6x + 30 = 72, what is x? (a) 7 (b) 8 (c) 42 (d) 17
  18. 18.If 5x + 16 = 2x + 22, what is x? (a) 1 (b) 3 (c) 4 (d) 2
  19. 19.If 4x + 29 = 89, what is x? (a) 16 (b) 60 (c) 14 (d) 15
  20. 20.If 2x + 23 = 27, what is x? (a) 4 (b) 2 (c) 25 (d) 3
  21. 21.If x/2 + 13 = 19, what is x? (a) 6 (b) 64 (c) 12 (d) 25
  22. 22.If 7x + 12 = 103, what is x? (a) 13 (b) 91 (c) 12 (d) 14
  23. 23.If 6x + 13 = 55, what is x? (a) 7 (b) 8 (c) 42 (d) 6
  24. 24.If 9x + 1 = 2x + 57, what is x? (a) 10 (b) 7 (c) 9 (d) 8
  25. 25.If 5x + 1 = x + 49, what is x? (a) 12 (b) 8 (c) 13 (d) 14
  26. 26.If 6x + 11 = 95, what is x? (a) 14 (b) 84 (c) 15 (d) 13
  27. 27.If 6x − 35 = 19, what is x? (a) 9 (b) 10 (c) 8 (d) 54
  28. 28.If 4x + 6 = 66, what is x? (a) 16 (b) 15 (c) 60 (d) 18
  29. 29.If 8x − 8 = 24, what is x? (a) 5 (b) 2 (c) 4 (d) 32
  30. 30.If x/6 + 14 = 16, what is x? (a) 180 (b) 12 (c) 2 (d) 82
  31. 31.If 7x + 3 = 3x + 47, what is x? (a) 10 (b) 13 (c) 12 (d) 11
  32. 32.If 9x + 13 = 8x + 22, what is x? (a) 10 (b) 35 (c) 11 (d) 9
  33. 33.If 3x − 13 = 5, what is x? (a) 5 (b) 18 (c) 7 (d) 6
  34. 34.If 2x − 9 = 7, what is x? (a) 16 (b) 8 (c) 7 (d) 9
  35. 35.If 5x + 9 = 34, what is x? (a) 4 (b) 6 (c) 5 (d) 25
  36. 36.If x/3 + 7 = 9, what is x? (a) 6 (b) 2 (c) 48 (d) 20
  37. 37.If 7x + 5 = 3x + 25, what is x? (a) 2 (b) 6 (c) 5 (d) 7
  38. 38.If x/4 + 4 = 9, what is x? (a) 52 (b) 5 (c) 32 (d) 20
  39. 39.If 8x + 1 = 3x + 11, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  40. 40.If 9x − 31 = 104, what is x? (a) 15 (b) 135 (c) 16 (d) 14

Answer key

  1. 12
  2. 5
  3. 48
  4. 12
  5. 7
  6. 3
  7. 14
  8. 4
  9. 15
  10. 14
  11. 10
  12. 14
  13. 3
  14. 60
  15. 16
  16. 3
  17. 7
  18. 2
  19. 15
  20. 2
  21. 12
  22. 13
  23. 7
  24. 8
  25. 12
  26. 14
  27. 9
  28. 15
  29. 4
  30. 12
  31. 11
  32. 9
  33. 6
  34. 8
  35. 5
  36. 6
  37. 5
  38. 20
  39. 2
  40. 15

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