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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 203 · 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 5x + 28 = 88, what is x? (a) 13 (b) 11 (c) 60 (d) 12
  2. 2.If 2x − 23 = 3, what is x? (a) 12 (b) 13 (c) 26 (d) 14
  3. 3.If 9x + 12 = 3x + 18, what is x? (a) 2 (b) 5 (c) 3 (d) 1
  4. 4.If x/5 + 12 = 23, what is x? (a) 55 (b) 175 (c) 103 (d) 11
  5. 5.If x/4 + 9 = 12, what is x? (a) 3 (b) 39 (c) 84 (d) 12
  6. 6.If 3x − 5 = 7, what is x? (a) 4 (b) 12 (c) 5 (d) 3
  7. 7.If 9x + 7 = 5x + 43, what is x? (a) 11 (b) 9 (c) 8 (d) 10
  8. 8.If 4x − 37 = 3, what is x? (a) 9 (b) 11 (c) 10 (d) 40
  9. 9.If x/5 + 4 = 13, what is x? (a) 9 (b) 61 (c) 85 (d) 45
  10. 10.If 4x + 1 = 29, what is x? (a) 28 (b) 6 (c) 8 (d) 7
  11. 11.If 4x + 17 = 2x + 41, what is x? (a) 4 (b) 29 (c) 13 (d) 12
  12. 12.If x/5 + 11 = 14, what is x? (a) 59 (b) 125 (c) 3 (d) 15
  13. 13.If 9x − 103 = 14, what is x? (a) 117 (b) 12 (c) 13 (d) 14
  14. 14.If 5x + 16 = x + 56, what is x? (a) 12 (b) 11 (c) 18 (d) 10
  15. 15.If 5x + 11 = 31, what is x? (a) 20 (b) 3 (c) 5 (d) 4
  16. 16.If x/6 + 6 = 18, what is x? (a) 72 (b) 144 (c) 102 (d) 12
  17. 17.If 3x − 6 = 15, what is x? (a) 7 (b) 3 (c) 21 (d) 8
  18. 18.If 8x + 10 = 3x + 30, what is x? (a) 5 (b) 6 (c) 8 (d) 4
  19. 19.If 2x + 29 = 59, what is x? (a) 30 (b) 15 (c) 44 (d) 16
  20. 20.If 6x + 4 = 5x + 12, what is x? (a) 9 (b) 8 (c) 16 (d) 10
  21. 21.If 5x + 11 = 46, what is x? (a) 7 (b) 8 (c) 35 (d) 6
  22. 22.If 3x − 25 = 20, what is x? (a) 45 (b) 16 (c) 15 (d) 14
  23. 23.If 5x + 21 = 36, what is x? (a) 4 (b) 2 (c) 15 (d) 3
  24. 24.If 4x + 1 = 49, what is x? (a) 13 (b) 48 (c) 12 (d) 11
  25. 25.If 7x + 16 = 37, what is x? (a) 3 (b) 4 (c) 2 (d) 21
  26. 26.If 3x − 3 = 12, what is x? (a) 15 (b) 5 (c) 3 (d) 6
  27. 27.If 5x + 6 = 4x + 11, what is x? (a) 17 (b) 6 (c) 5 (d) 7
  28. 28.If 5x + 4 = 34, what is x? (a) 5 (b) 30 (c) 7 (d) 6
  29. 29.If 3x + 27 = 57, what is x? (a) 10 (b) 11 (c) 28 (d) 30
  30. 30.If 9x − 7 = 11, what is x? (a) 3 (b) 1 (c) 2 (d) 18
  31. 31.If 4x + 23 = 43, what is x? (a) 20 (b) 6 (c) 5 (d) 4
  32. 32.If 4x + 10 = 46, what is x? (a) 9 (b) 36 (c) 14 (d) 10
  33. 33.If x/5 + 8 = 16, what is x? (a) 8 (b) 40 (c) 72 (d) 120
  34. 34.If x/3 + 8 = 16, what is x? (a) 8 (b) 24 (c) 72 (d) 40
  35. 35.If 6x − 11 = 19, what is x? (a) 30 (b) 4 (c) 6 (d) 5
  36. 36.If 5x + 9 = x + 49, what is x? (a) 9 (b) 12 (c) 10 (d) 11
  37. 37.If 5x + 29 = 39, what is x? (a) 3 (b) 1 (c) 10 (d) 2
  38. 38.If x/4 + 5 = 13, what is x? (a) 8 (b) 32 (c) 72 (d) 47
  39. 39.If 6x + 1 = 3x + 4, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  40. 40.If 3x + 14 = x + 36, what is x? (a) 12 (b) 13 (c) 11 (d) 25

Answer key

  1. 12
  2. 13
  3. 1
  4. 55
  5. 12
  6. 4
  7. 9
  8. 10
  9. 45
  10. 7
  11. 12
  12. 15
  13. 13
  14. 10
  15. 4
  16. 72
  17. 7
  18. 4
  19. 15
  20. 8
  21. 7
  22. 15
  23. 3
  24. 12
  25. 3
  26. 5
  27. 5
  28. 6
  29. 10
  30. 2
  31. 5
  32. 9
  33. 40
  34. 24
  35. 5
  36. 10
  37. 2
  38. 32
  39. 1
  40. 11

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