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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 361 · 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 + 23 = 43, what is x? (a) 3 (b) 5 (c) 4 (d) 20
  2. 2.If 2x − 1 = 3, what is x? (a) 1 (b) 2 (c) 4 (d) 3
  3. 3.If 3x + 3 = x + 11, what is x? (a) 4 (b) 7 (c) 2 (d) 5
  4. 4.If x/3 + 5 = 15, what is x? (a) 30 (b) 60 (c) 40 (d) 10
  5. 5.If 8x + 9 = 4x + 21, what is x? (a) 4 (b) 5 (c) 3 (d) 1
  6. 6.If x/2 + 7 = 11, what is x? (a) 4 (b) 8 (c) 15 (d) 36
  7. 7.If 4x + 3 = 15, what is x? (a) 4 (b) 2 (c) 3 (d) 12
  8. 8.If 6x + 5 = 5x + 11, what is x? (a) 8 (b) 7 (c) 6 (d) 16
  9. 9.If 9x + 9 = 99, what is x? (a) 12 (b) 11 (c) 90 (d) 10
  10. 10.If x/3 + 6 = 16, what is x? (a) 42 (b) 30 (c) 10 (d) 66
  11. 11.If 4x − 17 = 3, what is x? (a) 5 (b) 4 (c) 6 (d) 20
  12. 12.If 8x + 23 = 127, what is x? (a) 104 (b) 14 (c) 12 (d) 13
  13. 13.If 9x − 2 = 16, what is x? (a) 1 (b) 3 (c) 2 (d) 18
  14. 14.If 9x + 20 = 92, what is x? (a) 9 (b) 7 (c) 72 (d) 8
  15. 15.If 9x − 104 = 13, what is x? (a) 14 (b) 13 (c) 12 (d) 117
  16. 16.If x/5 + 10 = 15, what is x? (a) 25 (b) 125 (c) 5 (d) 65
  17. 17.If 3x + 6 = 33, what is x? (a) 13 (b) 27 (c) 10 (d) 9
  18. 18.If 5x + 17 = 4x + 25, what is x? (a) 9 (b) 8 (c) 42 (d) 10
  19. 19.If 4x − 52 = 8, what is x? (a) 16 (b) 14 (c) 15 (d) 60
  20. 20.If 4x + 29 = 69, what is x? (a) 40 (b) 10 (c) 11 (d) 9
  21. 21.If 9x + 8 = 134, what is x? (a) 14 (b) 13 (c) 126 (d) 15
  22. 22.If x/2 + 2 = 11, what is x? (a) 26 (b) 9 (c) 20 (d) 18
  23. 23.If 2x − 8 = 8, what is x? (a) 9 (b) 7 (c) 16 (d) 8
  24. 24.If x/5 + 7 = 19, what is x? (a) 12 (b) 130 (c) 88 (d) 60
  25. 25.If 8x − 3 = 45, what is x? (a) 7 (b) 6 (c) 5 (d) 48
  26. 26.If 9x − 5 = 13, what is x? (a) 18 (b) 2 (c) 3 (d) 1
  27. 27.If 9x − 21 = 105, what is x? (a) 15 (b) 13 (c) 14 (d) 126
  28. 28.If x/6 + 4 = 11, what is x? (a) 7 (b) 90 (c) 62 (d) 42
  29. 29.If x/6 + 1 = 3, what is x? (a) 12 (b) 24 (c) 17 (d) 2
  30. 30.If 8x + 7 = 111, what is x? (a) 14 (b) 12 (c) 104 (d) 13
  31. 31.If x/2 + 15 = 20, what is x? (a) 10 (b) 70 (c) 25 (d) 5
  32. 32.If 9x + 14 = x + 30, what is x? (a) 4 (b) 1 (c) 3 (d) 2
  33. 33.If 5x − 38 = 27, what is x? (a) 65 (b) 14 (c) 12 (d) 13
  34. 34.If 8x − 47 = 25, what is x? (a) 9 (b) 72 (c) 8 (d) 10
  35. 35.If 7x − 80 = 11, what is x? (a) 12 (b) 91 (c) 13 (d) 14
  36. 36.If 5x + 3 = 23, what is x? (a) 3 (b) 4 (c) 5 (d) 20
  37. 37.If 2x + 4 = 24, what is x? (a) 20 (b) 11 (c) 14 (d) 10
  38. 38.If 5x + 8 = 23, what is x? (a) 4 (b) 2 (c) 15 (d) 3
  39. 39.If x/5 + 8 = 15, what is x? (a) 115 (b) 7 (c) 35 (d) 67
  40. 40.If x/4 + 1 = 13, what is x? (a) 51 (b) 48 (c) 12 (d) 56

Answer key

  1. 4
  2. 2
  3. 4
  4. 30
  5. 3
  6. 8
  7. 3
  8. 6
  9. 10
  10. 30
  11. 5
  12. 13
  13. 2
  14. 8
  15. 13
  16. 25
  17. 9
  18. 8
  19. 15
  20. 10
  21. 14
  22. 18
  23. 8
  24. 60
  25. 6
  26. 2
  27. 14
  28. 42
  29. 12
  30. 13
  31. 10
  32. 2
  33. 13
  34. 9
  35. 13
  36. 4
  37. 10
  38. 3
  39. 35
  40. 48

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