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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 91 · 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 x/2 + 7 = 9, what is x? (a) 11 (b) 32 (c) 4 (d) 2
  2. 2.If 3x + 24 = 51, what is x? (a) 9 (b) 25 (c) 27 (d) 10
  3. 3.If 5x + 9 = 29, what is x? (a) 3 (b) 4 (c) 5 (d) 20
  4. 4.If x/4 + 2 = 8, what is x? (a) 40 (b) 24 (c) 6 (d) 30
  5. 5.If x/4 + 1 = 11, what is x? (a) 10 (b) 43 (c) 48 (d) 40
  6. 6.If 3x + 19 = 2x + 21, what is x? (a) 2 (b) 40 (c) 4 (d) 3
  7. 7.If x/3 + 15 = 17, what is x? (a) 2 (b) 36 (c) 6 (d) 96
  8. 8.If 8x + 2 = 5x + 38, what is x? (a) 11 (b) 13 (c) 12 (d) 14
  9. 9.If 3x + 18 = 42, what is x? (a) 9 (b) 24 (c) 20 (d) 8
  10. 10.If x/3 + 6 = 18, what is x? (a) 72 (b) 48 (c) 12 (d) 36
  11. 11.If x/3 + 6 = 17, what is x? (a) 11 (b) 69 (c) 33 (d) 45
  12. 12.If 4x + 19 = 59, what is x? (a) 40 (b) 11 (c) 10 (d) 9
  13. 13.If x/4 + 5 = 13, what is x? (a) 32 (b) 72 (c) 47 (d) 8
  14. 14.If 4x − 1 = 51, what is x? (a) 12 (b) 52 (c) 13 (d) 14
  15. 15.If 8x − 5 = 11, what is x? (a) 3 (b) 2 (c) 16 (d) 1
  16. 16.If 3x + 13 = 2x + 21, what is x? (a) 10 (b) 34 (c) 8 (d) 9
  17. 17.If 5x + 10 = 30, what is x? (a) 5 (b) 8 (c) 4 (d) 20
  18. 18.If 8x − 5 = 59, what is x? (a) 7 (b) 8 (c) 64 (d) 9
  19. 19.If x/6 + 4 = 11, what is x? (a) 90 (b) 62 (c) 7 (d) 42
  20. 20.If 2x + 9 = 25, what is x? (a) 8 (b) 17 (c) 9 (d) 16
  21. 21.If 4x − 24 = 8, what is x? (a) 32 (b) 7 (c) 9 (d) 8
  22. 22.If 9x − 13 = 122, what is x? (a) 16 (b) 14 (c) 135 (d) 15
  23. 23.If x/2 + 11 = 22, what is x? (a) 11 (b) 66 (c) 33 (d) 22
  24. 24.If 3x − 10 = 17, what is x? (a) 8 (b) 9 (c) 10 (d) 27
  25. 25.If x/3 + 12 = 15, what is x? (a) 81 (b) 9 (c) 3 (d) 33
  26. 26.If 3x − 20 = 4, what is x? (a) 24 (b) 7 (c) 9 (d) 8
  27. 27.If x/6 + 15 = 27, what is x? (a) 147 (b) 72 (c) 252 (d) 12
  28. 28.If 7x + 10 = 2x + 60, what is x? (a) 14 (b) 10 (c) 11 (d) 12
  29. 29.If 4x + 18 = 30, what is x? (a) 12 (b) 2 (c) 3 (d) 4
  30. 30.If 8x − 28 = 60, what is x? (a) 4 (b) 88 (c) 12 (d) 11
  31. 31.If 8x + 17 = 73, what is x? (a) 6 (b) 7 (c) 8 (d) 56
  32. 32.If x/5 + 15 = 23, what is x? (a) 100 (b) 40 (c) 190 (d) 8
  33. 33.If 8x + 4 = 7x + 12, what is x? (a) 16 (b) 10 (c) 9 (d) 8
  34. 34.If 5x − 52 = 8, what is x? (a) 13 (b) 60 (c) 12 (d) 11
  35. 35.If x/5 + 11 = 15, what is x? (a) 64 (b) 4 (c) 20 (d) 130
  36. 36.If 9x − 54 = 27, what is x? (a) 9 (b) 8 (c) 81 (d) 10
  37. 37.If 5x − 19 = 21, what is x? (a) 9 (b) 7 (c) 8 (d) 40
  38. 38.If x/5 + 14 = 24, what is x? (a) 10 (b) 190 (c) 50 (d) 106
  39. 39.If 8x − 54 = 58, what is x? (a) 13 (b) 14 (c) 15 (d) 112
  40. 40.If 8x − 27 = 5, what is x? (a) 3 (b) 32 (c) 5 (d) 4

Answer key

  1. 4
  2. 9
  3. 4
  4. 24
  5. 40
  6. 2
  7. 6
  8. 12
  9. 8
  10. 36
  11. 33
  12. 10
  13. 32
  14. 13
  15. 2
  16. 8
  17. 4
  18. 8
  19. 42
  20. 8
  21. 8
  22. 15
  23. 22
  24. 9
  25. 9
  26. 8
  27. 72
  28. 10
  29. 3
  30. 11
  31. 7
  32. 40
  33. 8
  34. 12
  35. 20
  36. 9
  37. 8
  38. 50
  39. 14
  40. 4

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