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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 701 · 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 8x + 13 = 101, what is x? (a) 10 (b) 88 (c) 11 (d) 12
  2. 2.If 8x − 41 = 7, what is x? (a) 5 (b) 48 (c) 6 (d) 7
  3. 3.If 8x − 48 = 24, what is x? (a) 10 (b) 8 (c) 9 (d) 72
  4. 4.If 4x − 4 = 4, what is x? (a) 1 (b) 2 (c) 3 (d) 8
  5. 5.If x/4 + 13 = 18, what is x? (a) 59 (b) 20 (c) 5 (d) 124
  6. 6.If 3x − 32 = 4, what is x? (a) 13 (b) 12 (c) 11 (d) 36
  7. 7.If 4x + 21 = 41, what is x? (a) 20 (b) 6 (c) 5 (d) 4
  8. 8.If 4x + 22 = 46, what is x? (a) 6 (b) 24 (c) 7 (d) 17
  9. 9.If 4x + 1 = x + 22, what is x? (a) 8 (b) 6 (c) 7 (d) 9
  10. 10.If 4x + 21 = 77, what is x? (a) 56 (b) 14 (c) 15 (d) 13
  11. 11.If x/4 + 5 = 8, what is x? (a) 12 (b) 52 (c) 3 (d) 27
  12. 12.If 5x − 15 = 5, what is x? (a) 5 (b) 4 (c) 20 (d) 3
  13. 13.If 6x − 32 = 16, what is x? (a) 7 (b) 9 (c) 48 (d) 8
  14. 14.If 4x + 13 = 3x + 22, what is x? (a) 10 (b) 9 (c) 35 (d) 11
  15. 15.If x/3 + 8 = 19, what is x? (a) 11 (b) 81 (c) 49 (d) 33
  16. 16.If 9x − 13 = 32, what is x? (a) 4 (b) 45 (c) 6 (d) 5
  17. 17.If 8x + 4 = 4x + 40, what is x? (a) 10 (b) 9 (c) 3 (d) 11
  18. 18.If x/3 + 1 = 5, what is x? (a) 14 (b) 12 (c) 4 (d) 18
  19. 19.If 3x − 17 = 10, what is x? (a) 27 (b) 8 (c) 10 (d) 9
  20. 20.If 5x + 3 = 48, what is x? (a) 45 (b) 10 (c) 8 (d) 9
  21. 21.If 2x + 26 = 40, what is x? (a) 7 (b) 8 (c) 14 (d) 33
  22. 22.If 2x + 5 = 25, what is x? (a) 15 (b) 20 (c) 11 (d) 10
  23. 23.If 5x + 30 = 70, what is x? (a) 9 (b) 8 (c) 20 (d) 40
  24. 24.If 8x + 8 = 4x + 52, what is x? (a) 12 (b) 15 (c) 11 (d) 13
  25. 25.If 4x + 3 = 31, what is x? (a) 7 (b) 28 (c) 8 (d) 6
  26. 26.If 8x + 3 = 115, what is x? (a) 13 (b) 14 (c) 112 (d) 15
  27. 27.If 9x + 20 = 6x + 47, what is x? (a) 11 (b) 9 (c) 8 (d) 10
  28. 28.If x/2 + 12 = 19, what is x? (a) 62 (b) 7 (c) 26 (d) 14
  29. 29.If x/3 + 13 = 23, what is x? (a) 10 (b) 56 (c) 108 (d) 30
  30. 30.If 2x + 25 = 41, what is x? (a) 16 (b) 33 (c) 9 (d) 8
  31. 31.If 9x + 6 = 105, what is x? (a) 99 (b) 12 (c) 10 (d) 11
  32. 32.If 2x + 2 = 6, what is x? (a) 2 (b) 4 (c) 1 (d) 3
  33. 33.If 2x − 4 = 4, what is x? (a) 8 (b) 5 (c) 4 (d) 3
  34. 34.If 7x + 28 = 49, what is x? (a) 11 (b) 21 (c) 3 (d) 4
  35. 35.If 5x + 21 = 46, what is x? (a) 4 (b) 5 (c) 25 (d) 6
  36. 36.If 3x + 13 = x + 19, what is x? (a) 16 (b) 5 (c) 4 (d) 3
  37. 37.If x/5 + 9 = 12, what is x? (a) 105 (b) 51 (c) 3 (d) 15
  38. 38.If 6x + 3 = 2x + 19, what is x? (a) 6 (b) 5 (c) 4 (d) 2
  39. 39.If 5x + 15 = 35, what is x? (a) 5 (b) 10 (c) 4 (d) 20
  40. 40.If 6x + 15 = x + 55, what is x? (a) 8 (b) 9 (c) 14 (d) 10

Answer key

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

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