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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 971 · 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 + 7 = 95, what is x? (a) 88 (b) 10 (c) 11 (d) 12
  2. 2.If 5x + 29 = 44, what is x? (a) 15 (b) 2 (c) 3 (d) 4
  3. 3.If 6x − 4 = 8, what is x? (a) 3 (b) 1 (c) 12 (d) 2
  4. 4.If 3x − 19 = 5, what is x? (a) 9 (b) 8 (c) 24 (d) 7
  5. 5.If 4x − 2 = 46, what is x? (a) 48 (b) 13 (c) 11 (d) 12
  6. 6.If 8x + 28 = 140, what is x? (a) 14 (b) 21 (c) 112 (d) 15
  7. 7.If 5x − 2 = 18, what is x? (a) 3 (b) 20 (c) 5 (d) 4
  8. 8.If 4x + 8 = x + 11, what is x? (a) 2 (b) 3 (c) 1 (d) 4
  9. 9.If 7x + 26 = 124, what is x? (a) 15 (b) 98 (c) 13 (d) 14
  10. 10.If x/2 + 10 = 19, what is x? (a) 28 (b) 9 (c) 58 (d) 18
  11. 11.If x/2 + 6 = 17, what is x? (a) 46 (b) 11 (c) 28 (d) 22
  12. 12.If 9x + 13 = 8x + 17, what is x? (a) 30 (b) 5 (c) 4 (d) 6
  13. 13.If 4x + 2 = x + 17, what is x? (a) 6 (b) 5 (c) 7 (d) 3
  14. 14.If 8x + 22 = 134, what is x? (a) 14 (b) 15 (c) 112 (d) 13
  15. 15.If 3x + 30 = 57, what is x? (a) 29 (b) 27 (c) 10 (d) 9
  16. 16.If 9x + 2 = 56, what is x? (a) 5 (b) 54 (c) 7 (d) 6
  17. 17.If 9x + 8 = 98, what is x? (a) 90 (b) 11 (c) 9 (d) 10
  18. 18.If 3x − 3 = 15, what is x? (a) 18 (b) 7 (c) 6 (d) 4
  19. 19.If 6x + 20 = 2x + 28, what is x? (a) 2 (b) 12 (c) 3 (d) 1
  20. 20.If 4x + 7 = 15, what is x? (a) 1 (b) 8 (c) 2 (d) 3
  21. 21.If 5x + 12 = 3x + 36, what is x? (a) 3 (b) 24 (c) 12 (d) 13
  22. 22.If x/4 + 3 = 10, what is x? (a) 52 (b) 28 (c) 7 (d) 37
  23. 23.If 4x + 19 = 63, what is x? (a) 44 (b) 12 (c) 10 (d) 11
  24. 24.If 4x + 14 = 26, what is x? (a) 4 (b) 3 (c) 12 (d) 10
  25. 25.If 3x + 23 = 29, what is x? (a) 3 (b) 6 (c) 1 (d) 2
  26. 26.If 9x − 46 = 26, what is x? (a) 9 (b) 7 (c) 72 (d) 8
  27. 27.If x/6 + 13 = 21, what is x? (a) 8 (b) 113 (c) 48 (d) 204
  28. 28.If x/3 + 4 = 16, what is x? (a) 44 (b) 60 (c) 36 (d) 12
  29. 29.If 4x + 7 = x + 25, what is x? (a) 5 (b) 6 (c) 7 (d) 8
  30. 30.If 3x + 9 = 42, what is x? (a) 12 (b) 33 (c) 11 (d) 17
  31. 31.If 9x − 62 = 64, what is x? (a) 126 (b) 15 (c) 14 (d) 13
  32. 32.If x/5 + 2 = 9, what is x? (a) 35 (b) 43 (c) 7 (d) 55
  33. 33.If x/5 + 2 = 5, what is x? (a) 23 (b) 35 (c) 15 (d) 3
  34. 34.If 9x + 14 = 8x + 20, what is x? (a) 6 (b) 34 (c) 7 (d) 8
  35. 35.If 9x + 12 = 8x + 21, what is x? (a) 33 (b) 11 (c) 9 (d) 10
  36. 36.If x/3 + 15 = 20, what is x? (a) 105 (b) 5 (c) 45 (d) 15
  37. 37.If 8x − 3 = 37, what is x? (a) 40 (b) 5 (c) 4 (d) 6
  38. 38.If 5x − 10 = 50, what is x? (a) 8 (b) 13 (c) 60 (d) 12
  39. 39.If 8x − 63 = 33, what is x? (a) 96 (b) 12 (c) 13 (d) 11
  40. 40.If x/2 + 3 = 11, what is x? (a) 19 (b) 16 (c) 8 (d) 28

Answer key

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

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