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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 607 · 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 3x + 3 = x + 15, what is x? (a) 7 (b) 9 (c) 6 (d) 3
  2. 2.If 5x − 13 = 17, what is x? (a) 5 (b) 7 (c) 6 (d) 30
  3. 3.If x/5 + 1 = 7, what is x? (a) 40 (b) 30 (c) 6 (d) 34
  4. 4.If 7x − 21 = 42, what is x? (a) 3 (b) 63 (c) 10 (d) 9
  5. 5.If x/6 + 6 = 17, what is x? (a) 66 (b) 96 (c) 11 (d) 138
  6. 6.If 5x + 16 = 2x + 49, what is x? (a) 10 (b) 12 (c) 13 (d) 11
  7. 7.If 7x + 10 = 3x + 50, what is x? (a) 15 (b) 4 (c) 11 (d) 10
  8. 8.If 4x + 3 = 63, what is x? (a) 14 (b) 15 (c) 16 (d) 60
  9. 9.If 8x + 16 = 48, what is x? (a) 32 (b) 5 (c) 8 (d) 4
  10. 10.If 6x + 2 = 5x + 7, what is x? (a) 6 (b) 9 (c) 7 (d) 5
  11. 11.If x/5 + 7 = 10, what is x? (a) 3 (b) 15 (c) 43 (d) 85
  12. 12.If 7x + 8 = x + 14, what is x? (a) 1 (b) 3 (c) 4 (d) 2
  13. 13.If 6x + 18 = 2x + 30, what is x? (a) 12 (b) 5 (c) 3 (d) 4
  14. 14.If 9x − 79 = 56, what is x? (a) 135 (b) 14 (c) 16 (d) 15
  15. 15.If x/6 + 9 = 13, what is x? (a) 132 (b) 24 (c) 4 (d) 69
  16. 16.If 7x + 19 = 110, what is x? (a) 13 (b) 91 (c) 14 (d) 12
  17. 17.If x/5 + 1 = 13, what is x? (a) 64 (b) 12 (c) 70 (d) 60
  18. 18.If 4x + 17 = 57, what is x? (a) 40 (b) 11 (c) 10 (d) 9
  19. 19.If 4x + 18 = 54, what is x? (a) 36 (b) 18 (c) 10 (d) 9
  20. 20.If 4x + 7 = 51, what is x? (a) 44 (b) 11 (c) 10 (d) 12
  21. 21.If 7x − 97 = 8, what is x? (a) 105 (b) 14 (c) 15 (d) 16
  22. 22.If 2x + 3 = 27, what is x? (a) 15 (b) 13 (c) 24 (d) 12
  23. 23.If 8x − 31 = 65, what is x? (a) 11 (b) 12 (c) 13 (d) 96
  24. 24.If 2x − 2 = 28, what is x? (a) 15 (b) 16 (c) 30 (d) 13
  25. 25.If 4x + 29 = 85, what is x? (a) 15 (b) 56 (c) 13 (d) 14
  26. 26.If 9x + 7 = 52, what is x? (a) 45 (b) 4 (c) 5 (d) 6
  27. 27.If x/2 + 6 = 17, what is x? (a) 46 (b) 22 (c) 28 (d) 11
  28. 28.If x/6 + 2 = 12, what is x? (a) 70 (b) 10 (c) 84 (d) 60
  29. 29.If x/2 + 15 = 19, what is x? (a) 23 (b) 4 (c) 68 (d) 8
  30. 30.If 3x + 30 = 72, what is x? (a) 14 (b) 42 (c) 34 (d) 15
  31. 31.If 7x + 8 = 43, what is x? (a) 35 (b) 5 (c) 4 (d) 6
  32. 32.If 5x + 9 = 84, what is x? (a) 15 (b) 75 (c) 16 (d) 14
  33. 33.If 4x + 5 = 57, what is x? (a) 14 (b) 12 (c) 13 (d) 52
  34. 34.If 7x + 17 = x + 35, what is x? (a) 5 (b) 4 (c) 2 (d) 3
  35. 35.If 8x − 36 = 28, what is x? (a) 9 (b) 7 (c) 8 (d) 64
  36. 36.If 8x + 16 = 56, what is x? (a) 9 (b) 5 (c) 6 (d) 40
  37. 37.If 6x + 27 = 63, what is x? (a) 7 (b) 15 (c) 6 (d) 36
  38. 38.If 4x + 20 = 3x + 27, what is x? (a) 1 (b) 47 (c) 8 (d) 7
  39. 39.If x/6 + 7 = 9, what is x? (a) 47 (b) 12 (c) 2 (d) 96
  40. 40.If x/6 + 3 = 9, what is x? (a) 6 (b) 72 (c) 51 (d) 36

Answer key

  1. 6
  2. 6
  3. 30
  4. 9
  5. 66
  6. 11
  7. 10
  8. 15
  9. 4
  10. 5
  11. 15
  12. 1
  13. 3
  14. 15
  15. 24
  16. 13
  17. 60
  18. 10
  19. 9
  20. 11
  21. 15
  22. 12
  23. 12
  24. 15
  25. 14
  26. 5
  27. 22
  28. 60
  29. 8
  30. 14
  31. 5
  32. 15
  33. 13
  34. 3
  35. 8
  36. 5
  37. 6
  38. 7
  39. 12
  40. 36

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