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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 688 · 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/5 + 8 = 15, what is x? (a) 7 (b) 115 (c) 67 (d) 35
  2. 2.If x/4 + 13 = 21, what is x? (a) 71 (b) 136 (c) 8 (d) 32
  3. 3.If x/2 + 13 = 25, what is x? (a) 37 (b) 24 (c) 12 (d) 76
  4. 4.If 8x + 29 = 77, what is x? (a) 6 (b) 5 (c) 7 (d) 48
  5. 5.If x/5 + 4 = 7, what is x? (a) 55 (b) 31 (c) 15 (d) 3
  6. 6.If 8x + 7 = 4x + 39, what is x? (a) 9 (b) 10 (c) 7 (d) 8
  7. 7.If 3x − 10 = 11, what is x? (a) 21 (b) 8 (c) 7 (d) 6
  8. 8.If 7x − 75 = 23, what is x? (a) 98 (b) 14 (c) 13 (d) 15
  9. 9.If 7x + 3 = 6x + 9, what is x? (a) 12 (b) 7 (c) 8 (d) 6
  10. 10.If 7x + 10 = 45, what is x? (a) 5 (b) 6 (c) 35 (d) 4
  11. 11.If 8x + 14 = 126, what is x? (a) 15 (b) 14 (c) 13 (d) 112
  12. 12.If 8x − 7 = 89, what is x? (a) 96 (b) 11 (c) 13 (d) 12
  13. 13.If 5x − 7 = 8, what is x? (a) 4 (b) 15 (c) 3 (d) 2
  14. 14.If 7x − 2 = 40, what is x? (a) 42 (b) 5 (c) 6 (d) 7
  15. 15.If 3x + 16 = x + 24, what is x? (a) 5 (b) 2 (c) 20 (d) 4
  16. 16.If x/6 + 4 = 9, what is x? (a) 78 (b) 50 (c) 30 (d) 5
  17. 17.If 7x + 8 = 3x + 48, what is x? (a) 4 (b) 10 (c) 11 (d) 14
  18. 18.If 2x − 13 = 3, what is x? (a) 8 (b) 7 (c) 16 (d) 9
  19. 19.If 2x + 2 = 32, what is x? (a) 16 (b) 15 (c) 17 (d) 30
  20. 20.If 4x + 15 = 2x + 39, what is x? (a) 13 (b) 27 (c) 4 (d) 12
  21. 21.If x/5 + 7 = 16, what is x? (a) 115 (b) 45 (c) 9 (d) 73
  22. 22.If 8x − 6 = 34, what is x? (a) 6 (b) 40 (c) 4 (d) 5
  23. 23.If 5x + 16 = 91, what is x? (a) 14 (b) 16 (c) 75 (d) 15
  24. 24.If 3x + 7 = 49, what is x? (a) 13 (b) 15 (c) 14 (d) 42
  25. 25.If 7x + 3 = 2x + 48, what is x? (a) 5 (b) 10 (c) 9 (d) 11
  26. 26.If 6x − 4 = 14, what is x? (a) 18 (b) 2 (c) 4 (d) 3
  27. 27.If x/2 + 8 = 11, what is x? (a) 38 (b) 3 (c) 14 (d) 6
  28. 28.If 8x + 21 = 45, what is x? (a) 4 (b) 3 (c) 2 (d) 24
  29. 29.If 9x − 69 = 66, what is x? (a) 15 (b) 135 (c) 16 (d) 14
  30. 30.If 9x + 14 = 3x + 26, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  31. 31.If x/5 + 6 = 10, what is x? (a) 80 (b) 44 (c) 20 (d) 4
  32. 32.If 8x + 21 = 133, what is x? (a) 13 (b) 14 (c) 112 (d) 15
  33. 33.If x/4 + 6 = 13, what is x? (a) 76 (b) 7 (c) 46 (d) 28
  34. 34.If 8x + 8 = 104, what is x? (a) 14 (b) 13 (c) 96 (d) 12
  35. 35.If 8x + 16 = 96, what is x? (a) 14 (b) 80 (c) 10 (d) 11
  36. 36.If 4x + 3 = 11, what is x? (a) 8 (b) 3 (c) 2 (d) 1
  37. 37.If 9x + 4 = x + 84, what is x? (a) 8 (b) 11 (c) 12 (d) 10
  38. 38.If 4x + 14 = 3x + 16, what is x? (a) 2 (b) 3 (c) 30 (d) 4
  39. 39.If 3x + 2 = x + 18, what is x? (a) 4 (b) 10 (c) 8 (d) 9
  40. 40.If 5x + 2 = x + 30, what is x? (a) 6 (b) 8 (c) 9 (d) 7

Answer key

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

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