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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 742 · 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 7x + 5 = 75, what is x? (a) 70 (b) 9 (c) 11 (d) 10
  2. 2.If 5x + 16 = 86, what is x? (a) 70 (b) 13 (c) 14 (d) 15
  3. 3.If 5x + 17 = 42, what is x? (a) 6 (b) 5 (c) 4 (d) 25
  4. 4.If 8x + 8 = 56, what is x? (a) 8 (b) 48 (c) 7 (d) 6
  5. 5.If 6x + 11 = 23, what is x? (a) 12 (b) 2 (c) 1 (d) 3
  6. 6.If 5x + 14 = 3x + 38, what is x? (a) 26 (b) 12 (c) 3 (d) 13
  7. 7.If 9x + 12 = 4x + 37, what is x? (a) 4 (b) 6 (c) 5 (d) 7
  8. 8.If x/5 + 2 = 10, what is x? (a) 60 (b) 48 (c) 8 (d) 40
  9. 9.If 8x + 12 = 84, what is x? (a) 12 (b) 10 (c) 9 (d) 72
  10. 10.If 9x + 1 = x + 9, what is x? (a) 3 (b) 1 (c) 2 (d) 4
  11. 11.If x/5 + 11 = 14, what is x? (a) 15 (b) 3 (c) 59 (d) 125
  12. 12.If 7x + 5 = 2x + 10, what is x? (a) 3 (b) 1 (c) 4 (d) 2
  13. 13.If x/6 + 13 = 25, what is x? (a) 72 (b) 12 (c) 137 (d) 228
  14. 14.If 4x − 15 = 1, what is x? (a) 3 (b) 4 (c) 16 (d) 5
  15. 15.If 6x − 14 = 4, what is x? (a) 4 (b) 18 (c) 3 (d) 2
  16. 16.If x/3 + 5 = 17, what is x? (a) 36 (b) 12 (c) 46 (d) 66
  17. 17.If x/2 + 4 = 6, what is x? (a) 8 (b) 2 (c) 20 (d) 4
  18. 18.If 8x + 9 = 3x + 54, what is x? (a) 11 (b) 8 (c) 10 (d) 9
  19. 19.If 5x + 10 = 55, what is x? (a) 9 (b) 45 (c) 10 (d) 13
  20. 20.If x/2 + 8 = 12, what is x? (a) 16 (b) 8 (c) 40 (d) 4
  21. 21.If x/4 + 3 = 15, what is x? (a) 57 (b) 72 (c) 48 (d) 12
  22. 22.If 4x − 5 = 47, what is x? (a) 52 (b) 14 (c) 12 (d) 13
  23. 23.If 6x + 23 = 59, what is x? (a) 5 (b) 7 (c) 6 (d) 36
  24. 24.If 2x − 6 = 18, what is x? (a) 12 (b) 13 (c) 24 (d) 6
  25. 25.If x/3 + 3 = 11, what is x? (a) 8 (b) 42 (c) 30 (d) 24
  26. 26.If x/6 + 2 = 14, what is x? (a) 12 (b) 82 (c) 96 (d) 72
  27. 27.If 2x + 1 = 5, what is x? (a) 1 (b) 2 (c) 3 (d) 4
  28. 28.If 8x + 5 = x + 40, what is x? (a) 6 (b) 7 (c) 4 (d) 5
  29. 29.If x/3 + 6 = 13, what is x? (a) 33 (b) 57 (c) 21 (d) 7
  30. 30.If 7x + 10 = 87, what is x? (a) 10 (b) 11 (c) 12 (d) 77
  31. 31.If 2x − 20 = 6, what is x? (a) 26 (b) 13 (c) 14 (d) 12
  32. 32.If 7x − 1 = 55, what is x? (a) 9 (b) 7 (c) 56 (d) 8
  33. 33.If 2x + 26 = 52, what is x? (a) 26 (b) 13 (c) 14 (d) 39
  34. 34.If 8x + 27 = 115, what is x? (a) 88 (b) 12 (c) 10 (d) 11
  35. 35.If 3x − 2 = 4, what is x? (a) 6 (b) 1 (c) 2 (d) 3
  36. 36.If 4x + 19 = 51, what is x? (a) 8 (b) 7 (c) 9 (d) 32
  37. 37.If x/3 + 1 = 6, what is x? (a) 15 (b) 21 (c) 5 (d) 17
  38. 38.If x/4 + 3 = 14, what is x? (a) 68 (b) 11 (c) 53 (d) 44
  39. 39.If 2x + 1 = 29, what is x? (a) 14 (b) 13 (c) 15 (d) 28
  40. 40.If 8x − 23 = 65, what is x? (a) 10 (b) 12 (c) 11 (d) 88

Answer key

  1. 10
  2. 14
  3. 5
  4. 6
  5. 2
  6. 12
  7. 5
  8. 40
  9. 9
  10. 1
  11. 15
  12. 1
  13. 72
  14. 4
  15. 3
  16. 36
  17. 4
  18. 9
  19. 9
  20. 8
  21. 48
  22. 13
  23. 6
  24. 12
  25. 24
  26. 72
  27. 2
  28. 5
  29. 21
  30. 11
  31. 13
  32. 8
  33. 13
  34. 11
  35. 2
  36. 8
  37. 15
  38. 44
  39. 14
  40. 11

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