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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 340 · 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 − 20 = 4, what is x? (a) 3 (b) 24 (c) 2 (d) 4
  2. 2.If x/3 + 7 = 14, what is x? (a) 7 (b) 63 (c) 21 (d) 35
  3. 3.If 7x + 22 = 113, what is x? (a) 91 (b) 12 (c) 14 (d) 13
  4. 4.If 8x − 14 = 66, what is x? (a) 11 (b) 9 (c) 80 (d) 10
  5. 5.If 9x − 59 = 49, what is x? (a) 13 (b) 12 (c) 11 (d) 108
  6. 6.If x/3 + 15 = 25, what is x? (a) 120 (b) 60 (c) 10 (d) 30
  7. 7.If 5x + 19 = 2x + 22, what is x? (a) 2 (b) 1 (c) 4 (d) 3
  8. 8.If x/2 + 5 = 15, what is x? (a) 20 (b) 25 (c) 10 (d) 40
  9. 9.If 9x + 26 = 125, what is x? (a) 10 (b) 11 (c) 99 (d) 12
  10. 10.If 2x − 2 = 12, what is x? (a) 7 (b) 8 (c) 5 (d) 14
  11. 11.If 5x + 11 = 31, what is x? (a) 4 (b) 5 (c) 3 (d) 20
  12. 12.If 8x + 14 = 30, what is x? (a) 16 (b) 3 (c) 1 (d) 2
  13. 13.If x/4 + 5 = 9, what is x? (a) 4 (b) 56 (c) 31 (d) 16
  14. 14.If 5x + 1 = 11, what is x? (a) 1 (b) 3 (c) 10 (d) 2
  15. 15.If 3x + 24 = 30, what is x? (a) 6 (b) 3 (c) 2 (d) 18
  16. 16.If 5x + 20 = 75, what is x? (a) 19 (b) 11 (c) 12 (d) 55
  17. 17.If 8x + 8 = x + 64, what is x? (a) 8 (b) 9 (c) 10 (d) 7
  18. 18.If x/3 + 6 = 10, what is x? (a) 48 (b) 4 (c) 24 (d) 12
  19. 19.If 8x + 16 = 40, what is x? (a) 4 (b) 24 (c) 3 (d) 7
  20. 20.If 2x − 3 = 15, what is x? (a) 18 (b) 10 (c) 6 (d) 9
  21. 21.If 2x + 20 = 38, what is x? (a) 9 (b) 29 (c) 10 (d) 18
  22. 22.If 2x − 10 = 14, what is x? (a) 12 (b) 24 (c) 13 (d) 2
  23. 23.If 8x − 31 = 1, what is x? (a) 4 (b) 32 (c) 5 (d) 3
  24. 24.If 6x − 7 = 47, what is x? (a) 54 (b) 10 (c) 8 (d) 9
  25. 25.If 9x + 8 = 5x + 40, what is x? (a) 10 (b) 8 (c) 9 (d) 12
  26. 26.If 2x − 7 = 23, what is x? (a) 16 (b) 30 (c) 15 (d) 8
  27. 27.If 9x + 2 = 56, what is x? (a) 5 (b) 54 (c) 7 (d) 6
  28. 28.If 7x + 14 = 3x + 58, what is x? (a) 11 (b) 12 (c) 18 (d) 13
  29. 29.If 3x + 28 = 43, what is x? (a) 4 (b) 6 (c) 15 (d) 5
  30. 30.If 3x + 7 = x + 21, what is x? (a) 14 (b) 8 (c) 9 (d) 7
  31. 31.If 2x − 10 = 2, what is x? (a) 12 (b) 7 (c) 6 (d) 5
  32. 32.If 8x − 74 = 14, what is x? (a) 12 (b) 88 (c) 11 (d) 10
  33. 33.If 2x − 3 = 1, what is x? (a) 1 (b) 2 (c) 4 (d) 3
  34. 34.If 2x − 9 = 13, what is x? (a) 2 (b) 12 (c) 11 (d) 22
  35. 35.If 4x + 10 = 3x + 22, what is x? (a) 13 (b) 32 (c) 12 (d) 14
  36. 36.If x/3 + 5 = 9, what is x? (a) 42 (b) 4 (c) 22 (d) 12
  37. 37.If 2x − 5 = 5, what is x? (a) 6 (b) 4 (c) 10 (d) 5
  38. 38.If 6x − 22 = 14, what is x? (a) 7 (b) 36 (c) 6 (d) 5
  39. 39.If x/4 + 15 = 17, what is x? (a) 128 (b) 2 (c) 53 (d) 8
  40. 40.If 4x − 9 = 35, what is x? (a) 44 (b) 12 (c) 10 (d) 11

Answer key

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

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