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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 731 · 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 x/4 + 6 = 8, what is x? (a) 56 (b) 26 (c) 2 (d) 8
  2. 2.If 5x + 7 = 4x + 17, what is x? (a) 12 (b) 24 (c) 10 (d) 11
  3. 3.If 3x + 1 = x + 19, what is x? (a) 11 (b) 9 (c) 10 (d) 8
  4. 4.If 8x + 30 = 142, what is x? (a) 112 (b) 15 (c) 13 (d) 14
  5. 5.If x/3 + 5 = 9, what is x? (a) 22 (b) 42 (c) 4 (d) 12
  6. 6.If 8x + 20 = 3x + 40, what is x? (a) 4 (b) 12 (c) 5 (d) 6
  7. 7.If 7x + 11 = 2x + 51, what is x? (a) 9 (b) 10 (c) 7 (d) 8
  8. 8.If x/4 + 4 = 6, what is x? (a) 20 (b) 2 (c) 40 (d) 8
  9. 9.If 3x + 13 = 46, what is x? (a) 10 (b) 11 (c) 33 (d) 12
  10. 10.If x/4 + 13 = 22, what is x? (a) 75 (b) 9 (c) 140 (d) 36
  11. 11.If 6x + 20 = 4x + 28, what is x? (a) 24 (b) 6 (c) 4 (d) 5
  12. 12.If 9x + 2 = 74, what is x? (a) 72 (b) 9 (c) 8 (d) 7
  13. 13.If x/3 + 14 = 20, what is x? (a) 18 (b) 6 (c) 46 (d) 102
  14. 14.If x/2 + 14 = 24, what is x? (a) 20 (b) 34 (c) 76 (d) 10
  15. 15.If 5x + 6 = 3x + 22, what is x? (a) 9 (b) 2 (c) 14 (d) 8
  16. 16.If 5x + 6 = 2x + 15, what is x? (a) 4 (b) 5 (c) 7 (d) 3
  17. 17.If 7x − 12 = 9, what is x? (a) 21 (b) 2 (c) 4 (d) 3
  18. 18.If 5x + 18 = 83, what is x? (a) 13 (b) 65 (c) 14 (d) 12
  19. 19.If x/4 + 6 = 13, what is x? (a) 7 (b) 28 (c) 76 (d) 46
  20. 20.If 4x − 16 = 20, what is x? (a) 1 (b) 10 (c) 9 (d) 36
  21. 21.If 7x − 63 = 42, what is x? (a) 14 (b) 15 (c) 16 (d) 105
  22. 22.If 7x + 5 = 6x + 10, what is x? (a) 7 (b) 6 (c) 5 (d) 15
  23. 23.If 7x + 2 = 30, what is x? (a) 5 (b) 3 (c) 28 (d) 4
  24. 24.If 2x − 7 = 7, what is x? (a) 6 (b) 14 (c) 8 (d) 7
  25. 25.If x/4 + 8 = 12, what is x? (a) 4 (b) 80 (c) 16 (d) 40
  26. 26.If x/6 + 7 = 10, what is x? (a) 18 (b) 102 (c) 53 (d) 3
  27. 27.If x/6 + 14 = 19, what is x? (a) 5 (b) 100 (c) 30 (d) 198
  28. 28.If 4x + 8 = 56, what is x? (a) 12 (b) 48 (c) 13 (d) 16
  29. 29.If 8x + 27 = 67, what is x? (a) 40 (b) 6 (c) 4 (d) 5
  30. 30.If 8x + 5 = 4x + 17, what is x? (a) 4 (b) 5 (c) 1 (d) 3
  31. 31.If 4x + 23 = 35, what is x? (a) 3 (b) 12 (c) 2 (d) 4
  32. 32.If x/3 + 12 = 17, what is x? (a) 39 (b) 87 (c) 5 (d) 15
  33. 33.If x/6 + 10 = 17, what is x? (a) 92 (b) 162 (c) 7 (d) 42
  34. 34.If 7x − 42 = 35, what is x? (a) 12 (b) 77 (c) 10 (d) 11
  35. 35.If 4x + 9 = 25, what is x? (a) 5 (b) 3 (c) 4 (d) 16
  36. 36.If 9x + 19 = 4x + 69, what is x? (a) 9 (b) 12 (c) 10 (d) 11
  37. 37.If 2x − 3 = 1, what is x? (a) 1 (b) 3 (c) 2 (d) 4
  38. 38.If x/2 + 7 = 9, what is x? (a) 4 (b) 32 (c) 2 (d) 11
  39. 39.If 7x + 1 = x + 67, what is x? (a) 13 (b) 12 (c) 11 (d) 10
  40. 40.If 4x − 15 = 1, what is x? (a) 16 (b) 5 (c) 3 (d) 4

Answer key

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

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