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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 183 · 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 = 146, what is x? (a) 135 (b) 15 (c) 14 (d) 16
  2. 2.If 7x + 6 = 69, what is x? (a) 8 (b) 63 (c) 10 (d) 9
  3. 3.If x/6 + 4 = 6, what is x? (a) 60 (b) 32 (c) 2 (d) 12
  4. 4.If 8x + 24 = 40, what is x? (a) 8 (b) 2 (c) 16 (d) 3
  5. 5.If 9x − 65 = 7, what is x? (a) 7 (b) 9 (c) 8 (d) 72
  6. 6.If 9x − 26 = 19, what is x? (a) 4 (b) 45 (c) 6 (d) 5
  7. 7.If 5x + 5 = 75, what is x? (a) 15 (b) 14 (c) 70 (d) 16
  8. 8.If 6x − 5 = 25, what is x? (a) 4 (b) 30 (c) 6 (d) 5
  9. 9.If 7x + 28 = 63, what is x? (a) 6 (b) 5 (c) 13 (d) 35
  10. 10.If x/3 + 8 = 16, what is x? (a) 72 (b) 8 (c) 40 (d) 24
  11. 11.If 4x + 6 = 66, what is x? (a) 18 (b) 60 (c) 15 (d) 16
  12. 12.If 7x + 22 = 85, what is x? (a) 10 (b) 9 (c) 63 (d) 8
  13. 13.If 8x − 38 = 42, what is x? (a) 80 (b) 9 (c) 10 (d) 11
  14. 14.If 5x + 22 = 52, what is x? (a) 6 (b) 7 (c) 30 (d) 5
  15. 15.If 4x − 1 = 11, what is x? (a) 3 (b) 4 (c) 2 (d) 12
  16. 16.If 4x + 24 = 40, what is x? (a) 16 (b) 4 (c) 3 (d) 5
  17. 17.If 9x + 4 = 112, what is x? (a) 12 (b) 11 (c) 13 (d) 108
  18. 18.If x/4 + 9 = 21, what is x? (a) 12 (b) 48 (c) 75 (d) 120
  19. 19.If 7x − 22 = 34, what is x? (a) 8 (b) 7 (c) 56 (d) 9
  20. 20.If 2x − 11 = 17, what is x? (a) 14 (b) 15 (c) 28 (d) 3
  21. 21.If 8x + 7 = 6x + 13, what is x? (a) 10 (b) 3 (c) 5 (d) 4
  22. 22.If 9x − 5 = 49, what is x? (a) 6 (b) 5 (c) 54 (d) 7
  23. 23.If x/2 + 11 = 14, what is x? (a) 50 (b) 17 (c) 3 (d) 6
  24. 24.If 8x + 14 = x + 70, what is x? (a) 12 (b) 10 (c) 9 (d) 8
  25. 25.If 9x + 17 = 143, what is x? (a) 13 (b) 15 (c) 14 (d) 126
  26. 26.If x/4 + 5 = 12, what is x? (a) 43 (b) 28 (c) 7 (d) 68
  27. 27.If 4x + 15 = 67, what is x? (a) 14 (b) 13 (c) 52 (d) 12
  28. 28.If 8x + 3 = 6x + 9, what is x? (a) 5 (b) 4 (c) 3 (d) 6
  29. 29.If 3x − 12 = 18, what is x? (a) 10 (b) 30 (c) 2 (d) 11
  30. 30.If 4x + 6 = 42, what is x? (a) 12 (b) 10 (c) 36 (d) 9
  31. 31.If 9x + 12 = 75, what is x? (a) 8 (b) 7 (c) 6 (d) 63
  32. 32.If 3x − 14 = 25, what is x? (a) 39 (b) 13 (c) 12 (d) 14
  33. 33.If 6x + 17 = 65, what is x? (a) 48 (b) 9 (c) 7 (d) 8
  34. 34.If 5x + 12 = x + 32, what is x? (a) 6 (b) 11 (c) 5 (d) 7
  35. 35.If 4x − 20 = 4, what is x? (a) 7 (b) 24 (c) 5 (d) 6
  36. 36.If 2x − 17 = 7, what is x? (a) 24 (b) 11 (c) 12 (d) 13
  37. 37.If 5x − 15 = 15, what is x? (a) 30 (b) 5 (c) 6 (d) 7
  38. 38.If 8x + 9 = 57, what is x? (a) 6 (b) 7 (c) 5 (d) 48
  39. 39.If 8x + 4 = 5x + 34, what is x? (a) 11 (b) 9 (c) 12 (d) 10
  40. 40.If x/6 + 12 = 20, what is x? (a) 192 (b) 8 (c) 48 (d) 108

Answer key

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

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