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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 420 · 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 + 11 = 91, what is x? (a) 11 (b) 9 (c) 10 (d) 80
  2. 2.If 3x + 16 = x + 20, what is x? (a) 2 (b) 1 (c) 3 (d) 18
  3. 3.If x/5 + 2 = 4, what is x? (a) 30 (b) 2 (c) 10 (d) 18
  4. 4.If 3x + 7 = 2x + 19, what is x? (a) 26 (b) 14 (c) 12 (d) 13
  5. 5.If 5x + 10 = 3x + 28, what is x? (a) 10 (b) 11 (c) 19 (d) 9
  6. 6.If x/5 + 8 = 14, what is x? (a) 30 (b) 110 (c) 6 (d) 62
  7. 7.If 9x + 4 = 7x + 20, what is x? (a) 9 (b) 12 (c) 8 (d) 1
  8. 8.If 9x − 18 = 45, what is x? (a) 3 (b) 7 (c) 8 (d) 63
  9. 9.If x/2 + 7 = 12, what is x? (a) 5 (b) 10 (c) 17 (d) 38
  10. 10.If 8x − 7 = 97, what is x? (a) 104 (b) 14 (c) 12 (d) 13
  11. 11.If 6x − 6 = 36, what is x? (a) 8 (b) 5 (c) 7 (d) 42
  12. 12.If 5x + 15 = x + 55, what is x? (a) 11 (b) 10 (c) 12 (d) 9
  13. 13.If 6x − 13 = 29, what is x? (a) 6 (b) 42 (c) 7 (d) 8
  14. 14.If x/5 + 7 = 19, what is x? (a) 88 (b) 130 (c) 60 (d) 12
  15. 15.If 8x − 26 = 6, what is x? (a) 32 (b) 3 (c) 5 (d) 4
  16. 16.If 3x + 7 = 2x + 18, what is x? (a) 25 (b) 12 (c) 11 (d) 13
  17. 17.If 3x + 15 = 24, what is x? (a) 13 (b) 9 (c) 4 (d) 3
  18. 18.If 5x + 5 = 3x + 27, what is x? (a) 11 (b) 16 (c) 12 (d) 13
  19. 19.If x/2 + 4 = 15, what is x? (a) 26 (b) 11 (c) 22 (d) 38
  20. 20.If 6x + 10 = 5x + 13, what is x? (a) 5 (b) 4 (c) 3 (d) 23
  21. 21.If 8x + 17 = 97, what is x? (a) 11 (b) 10 (c) 9 (d) 80
  22. 22.If 7x + 30 = 135, what is x? (a) 14 (b) 105 (c) 16 (d) 15
  23. 23.If 5x + 1 = 51, what is x? (a) 11 (b) 50 (c) 10 (d) 9
  24. 24.If x/3 + 12 = 16, what is x? (a) 4 (b) 84 (c) 12 (d) 36
  25. 25.If 4x − 4 = 44, what is x? (a) 12 (b) 13 (c) 48 (d) 10
  26. 26.If 3x + 1 = 2x + 5, what is x? (a) 3 (b) 4 (c) 6 (d) 5
  27. 27.If x/6 + 13 = 15, what is x? (a) 77 (b) 12 (c) 168 (d) 2
  28. 28.If 9x + 3 = 2x + 38, what is x? (a) 7 (b) 4 (c) 5 (d) 6
  29. 29.If 4x + 1 = 3x + 2, what is x? (a) 1 (b) 4 (c) 2 (d) 3
  30. 30.If 9x + 23 = 59, what is x? (a) 36 (b) 3 (c) 4 (d) 5
  31. 31.If 6x − 10 = 2, what is x? (a) 12 (b) 2 (c) 3 (d) 1
  32. 32.If 5x + 18 = 3x + 40, what is x? (a) 13 (b) 11 (c) 12 (d) 29
  33. 33.If 5x + 13 = 43, what is x? (a) 6 (b) 7 (c) 30 (d) 5
  34. 34.If 8x − 7 = 49, what is x? (a) 8 (b) 56 (c) 6 (d) 7
  35. 35.If x/3 + 14 = 22, what is x? (a) 108 (b) 52 (c) 24 (d) 8
  36. 36.If x/5 + 7 = 17, what is x? (a) 78 (b) 120 (c) 50 (d) 10
  37. 37.If 5x − 33 = 32, what is x? (a) 65 (b) 13 (c) 12 (d) 14
  38. 38.If 4x − 9 = 31, what is x? (a) 40 (b) 9 (c) 10 (d) 11
  39. 39.If x/6 + 14 = 24, what is x? (a) 60 (b) 10 (c) 228 (d) 130
  40. 40.If 2x − 17 = 3, what is x? (a) 9 (b) 20 (c) 10 (d) 11

Answer key

  1. 10
  2. 2
  3. 10
  4. 12
  5. 9
  6. 30
  7. 8
  8. 7
  9. 10
  10. 13
  11. 7
  12. 10
  13. 7
  14. 60
  15. 4
  16. 11
  17. 3
  18. 11
  19. 22
  20. 3
  21. 10
  22. 15
  23. 10
  24. 12
  25. 12
  26. 4
  27. 12
  28. 5
  29. 1
  30. 4
  31. 2
  32. 11
  33. 6
  34. 7
  35. 24
  36. 50
  37. 13
  38. 10
  39. 60
  40. 10

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