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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 391 · 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 9x + 11 = 8x + 21, what is x? (a) 11 (b) 12 (c) 10 (d) 32
  2. 2.If 2x − 5 = 15, what is x? (a) 5 (b) 20 (c) 11 (d) 10
  3. 3.If x/4 + 12 = 19, what is x? (a) 7 (b) 28 (c) 124 (d) 64
  4. 4.If 3x + 5 = x + 27, what is x? (a) 16 (b) 13 (c) 12 (d) 11
  5. 5.If x/5 + 4 = 13, what is x? (a) 45 (b) 85 (c) 9 (d) 61
  6. 6.If 6x + 15 = 27, what is x? (a) 2 (b) 7 (c) 12 (d) 3
  7. 7.If 5x + 10 = 75, what is x? (a) 14 (b) 13 (c) 17 (d) 65
  8. 8.If 2x + 20 = 26, what is x? (a) 4 (b) 23 (c) 6 (d) 3
  9. 9.If 3x + 14 = 2x + 26, what is x? (a) 12 (b) 14 (c) 13 (d) 40
  10. 10.If 5x + 30 = 80, what is x? (a) 10 (b) 11 (c) 22 (d) 50
  11. 11.If 4x + 16 = 32, what is x? (a) 12 (b) 16 (c) 4 (d) 5
  12. 12.If 3x + 19 = 2x + 22, what is x? (a) 41 (b) 4 (c) 3 (d) 5
  13. 13.If 4x + 9 = 3x + 21, what is x? (a) 30 (b) 14 (c) 12 (d) 13
  14. 14.If x/3 + 13 = 18, what is x? (a) 5 (b) 41 (c) 93 (d) 15
  15. 15.If x/5 + 1 = 12, what is x? (a) 59 (b) 55 (c) 65 (d) 11
  16. 16.If 4x − 6 = 30, what is x? (a) 6 (b) 36 (c) 9 (d) 10
  17. 17.If 5x − 5 = 15, what is x? (a) 4 (b) 5 (c) 2 (d) 20
  18. 18.If x/5 + 2 = 12, what is x? (a) 70 (b) 10 (c) 50 (d) 58
  19. 19.If 6x + 10 = 4x + 20, what is x? (a) 1 (b) 6 (c) 5 (d) 15
  20. 20.If 7x + 24 = 52, what is x? (a) 4 (b) 5 (c) 28 (d) 3
  21. 21.If 9x + 28 = 127, what is x? (a) 11 (b) 10 (c) 12 (d) 99
  22. 22.If 7x + 19 = 6x + 27, what is x? (a) 9 (b) 46 (c) 10 (d) 8
  23. 23.If 6x − 7 = 5, what is x? (a) 3 (b) 1 (c) 2 (d) 12
  24. 24.If 9x + 25 = 61, what is x? (a) 4 (b) 36 (c) 5 (d) 3
  25. 25.If x/5 + 10 = 13, what is x? (a) 15 (b) 115 (c) 3 (d) 55
  26. 26.If 5x + 3 = 2x + 24, what is x? (a) 3 (b) 9 (c) 7 (d) 8
  27. 27.If 9x + 7 = 2x + 63, what is x? (a) 7 (b) 8 (c) 10 (d) 9
  28. 28.If 7x + 27 = 41, what is x? (a) 14 (b) 2 (c) 1 (d) 3
  29. 29.If x/4 + 13 = 18, what is x? (a) 124 (b) 5 (c) 20 (d) 59
  30. 30.If x/3 + 9 = 20, what is x? (a) 11 (b) 33 (c) 51 (d) 87
  31. 31.If x/4 + 3 = 15, what is x? (a) 12 (b) 72 (c) 57 (d) 48
  32. 32.If 3x + 16 = 2x + 26, what is x? (a) 42 (b) 11 (c) 10 (d) 2
  33. 33.If 4x + 6 = x + 24, what is x? (a) 6 (b) 7 (c) 10 (d) 8
  34. 34.If 6x + 26 = 116, what is x? (a) 16 (b) 14 (c) 90 (d) 15
  35. 35.If 5x + 7 = 77, what is x? (a) 15 (b) 70 (c) 13 (d) 14
  36. 36.If 5x + 5 = 4x + 17, what is x? (a) 12 (b) 14 (c) 22 (d) 13
  37. 37.If 4x + 3 = 2x + 21, what is x? (a) 12 (b) 10 (c) 9 (d) 3
  38. 38.If x/4 + 5 = 13, what is x? (a) 47 (b) 32 (c) 8 (d) 72
  39. 39.If x/2 + 15 = 26, what is x? (a) 22 (b) 11 (c) 37 (d) 82
  40. 40.If 8x + 25 = 121, what is x? (a) 96 (b) 12 (c) 11 (d) 13

Answer key

  1. 10
  2. 10
  3. 28
  4. 11
  5. 45
  6. 2
  7. 13
  8. 3
  9. 12
  10. 10
  11. 4
  12. 3
  13. 12
  14. 15
  15. 55
  16. 9
  17. 4
  18. 50
  19. 5
  20. 4
  21. 11
  22. 8
  23. 2
  24. 4
  25. 15
  26. 7
  27. 8
  28. 2
  29. 20
  30. 33
  31. 48
  32. 10
  33. 6
  34. 15
  35. 14
  36. 12
  37. 9
  38. 32
  39. 22
  40. 12

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