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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 634 · 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 + 10 = x + 31, what is x? (a) 4 (b) 2 (c) 5 (d) 3
  2. 2.If 5x + 12 = 3x + 14, what is x? (a) 2 (b) 1 (c) 3 (d) 13
  3. 3.If 3x + 20 = 26, what is x? (a) 6 (b) 1 (c) 2 (d) 3
  4. 4.If 8x + 6 = 102, what is x? (a) 13 (b) 96 (c) 11 (d) 12
  5. 5.If 7x + 4 = 4x + 34, what is x? (a) 11 (b) 9 (c) 10 (d) 12
  6. 6.If 4x − 40 = 16, what is x? (a) 56 (b) 15 (c) 14 (d) 13
  7. 7.If 4x + 27 = 75, what is x? (a) 48 (b) 12 (c) 13 (d) 11
  8. 8.If 4x + 21 = 73, what is x? (a) 14 (b) 52 (c) 13 (d) 12
  9. 9.If x/2 + 1 = 8, what is x? (a) 7 (b) 14 (c) 15 (d) 18
  10. 10.If 3x − 22 = 8, what is x? (a) 30 (b) 10 (c) 11 (d) 9
  11. 11.If 6x + 15 = 3x + 24, what is x? (a) 13 (b) 4 (c) 3 (d) 1
  12. 12.If x/5 + 5 = 10, what is x? (a) 45 (b) 5 (c) 75 (d) 25
  13. 13.If 6x + 2 = 2x + 30, what is x? (a) 8 (b) 6 (c) 9 (d) 7
  14. 14.If 9x + 12 = 111, what is x? (a) 99 (b) 10 (c) 11 (d) 12
  15. 15.If 2x + 10 = 22, what is x? (a) 12 (b) 7 (c) 6 (d) 16
  16. 16.If x/6 + 11 = 19, what is x? (a) 8 (b) 48 (c) 180 (d) 103
  17. 17.If 7x + 9 = 58, what is x? (a) 49 (b) 6 (c) 8 (d) 7
  18. 18.If 7x − 18 = 3, what is x? (a) 2 (b) 3 (c) 4 (d) 21
  19. 19.If 3x + 4 = x + 8, what is x? (a) 1 (b) 2 (c) 6 (d) 3
  20. 20.If x/6 + 7 = 15, what is x? (a) 132 (b) 83 (c) 48 (d) 8
  21. 21.If x/4 + 11 = 14, what is x? (a) 12 (b) 100 (c) 3 (d) 45
  22. 22.If 2x + 10 = 30, what is x? (a) 20 (b) 9 (c) 11 (d) 10
  23. 23.If 9x − 10 = 8, what is x? (a) 3 (b) 1 (c) 18 (d) 2
  24. 24.If x/2 + 2 = 11, what is x? (a) 9 (b) 18 (c) 20 (d) 26
  25. 25.If x/6 + 9 = 19, what is x? (a) 10 (b) 60 (c) 168 (d) 105
  26. 26.If 9x − 72 = 18, what is x? (a) 11 (b) 9 (c) 10 (d) 90
  27. 27.If 2x − 3 = 9, what is x? (a) 7 (b) 3 (c) 6 (d) 12
  28. 28.If 2x − 5 = 5, what is x? (a) 4 (b) 10 (c) 5 (d) 6
  29. 29.If 8x − 22 = 26, what is x? (a) 5 (b) 6 (c) 48 (d) 7
  30. 30.If 5x − 29 = 1, what is x? (a) 7 (b) 5 (c) 6 (d) 30
  31. 31.If 9x + 16 = 7x + 36, what is x? (a) 11 (b) 26 (c) 12 (d) 10
  32. 32.If 7x + 21 = 63, what is x? (a) 42 (b) 7 (c) 12 (d) 6
  33. 33.If 5x + 26 = 101, what is x? (a) 16 (b) 75 (c) 14 (d) 15
  34. 34.If x/2 + 15 = 17, what is x? (a) 2 (b) 64 (c) 4 (d) 19
  35. 35.If 5x + 28 = 63, what is x? (a) 6 (b) 8 (c) 35 (d) 7
  36. 36.If 8x + 19 = 51, what is x? (a) 5 (b) 4 (c) 3 (d) 32
  37. 37.If 7x − 87 = 18, what is x? (a) 14 (b) 105 (c) 16 (d) 15
  38. 38.If 4x − 10 = 26, what is x? (a) 4 (b) 10 (c) 36 (d) 9
  39. 39.If 5x + 11 = x + 51, what is x? (a) 10 (b) 11 (c) 12 (d) 9
  40. 40.If 8x + 8 = 120, what is x? (a) 14 (b) 15 (c) 112 (d) 16

Answer key

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

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