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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 440 · 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 5x + 11 = 4x + 12, what is x? (a) 3 (b) 1 (c) 23 (d) 2
  2. 2.If 3x − 16 = 11, what is x? (a) 10 (b) 9 (c) 8 (d) 27
  3. 3.If x/3 + 13 = 18, what is x? (a) 41 (b) 93 (c) 5 (d) 15
  4. 4.If 5x − 30 = 45, what is x? (a) 75 (b) 15 (c) 3 (d) 16
  5. 5.If 3x + 16 = x + 26, what is x? (a) 7 (b) 21 (c) 6 (d) 5
  6. 6.If x/5 + 1 = 6, what is x? (a) 5 (b) 35 (c) 29 (d) 25
  7. 7.If 3x + 8 = 47, what is x? (a) 39 (b) 14 (c) 13 (d) 12
  8. 8.If 8x + 23 = 95, what is x? (a) 8 (b) 72 (c) 9 (d) 10
  9. 9.If 3x − 25 = 8, what is x? (a) 33 (b) 11 (c) 12 (d) 10
  10. 10.If 6x + 21 = 63, what is x? (a) 42 (b) 7 (c) 14 (d) 8
  11. 11.If x/4 + 3 = 14, what is x? (a) 68 (b) 53 (c) 44 (d) 11
  12. 12.If 3x + 27 = 60, what is x? (a) 11 (b) 12 (c) 29 (d) 33
  13. 13.If x/3 + 8 = 19, what is x? (a) 81 (b) 33 (c) 11 (d) 49
  14. 14.If 7x + 4 = 32, what is x? (a) 4 (b) 28 (c) 5 (d) 3
  15. 15.If x/4 + 15 = 20, what is x? (a) 5 (b) 65 (c) 140 (d) 20
  16. 16.If 5x + 10 = 60, what is x? (a) 14 (b) 50 (c) 11 (d) 10
  17. 17.If 6x + 15 = 57, what is x? (a) 7 (b) 42 (c) 8 (d) 12
  18. 18.If 6x − 10 = 38, what is x? (a) 8 (b) 7 (c) 48 (d) 9
  19. 19.If x/4 + 1 = 5, what is x? (a) 19 (b) 4 (c) 16 (d) 24
  20. 20.If x/2 + 4 = 7, what is x? (a) 3 (b) 22 (c) 10 (d) 6
  21. 21.If 6x + 21 = 75, what is x? (a) 10 (b) 16 (c) 54 (d) 9
  22. 22.If x/6 + 14 = 16, what is x? (a) 180 (b) 82 (c) 12 (d) 2
  23. 23.If 6x + 6 = 42, what is x? (a) 8 (b) 7 (c) 6 (d) 36
  24. 24.If x/5 + 7 = 12, what is x? (a) 53 (b) 5 (c) 95 (d) 25
  25. 25.If x/4 + 1 = 8, what is x? (a) 7 (b) 28 (c) 36 (d) 31
  26. 26.If 7x + 14 = 63, what is x? (a) 8 (b) 49 (c) 7 (d) 11
  27. 27.If x/2 + 2 = 8, what is x? (a) 6 (b) 14 (c) 12 (d) 20
  28. 28.If 9x + 3 = 6x + 9, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  29. 29.If x/5 + 10 = 20, what is x? (a) 90 (b) 50 (c) 10 (d) 150
  30. 30.If 9x + 1 = 91, what is x? (a) 90 (b) 9 (c) 11 (d) 10
  31. 31.If 4x − 10 = 18, what is x? (a) 8 (b) 7 (c) 2 (d) 28
  32. 32.If 6x + 13 = 97, what is x? (a) 84 (b) 15 (c) 13 (d) 14
  33. 33.If 4x + 1 = 2x + 3, what is x? (a) 4 (b) 1 (c) 3 (d) 2
  34. 34.If x/3 + 7 = 11, what is x? (a) 26 (b) 12 (c) 4 (d) 54
  35. 35.If 9x − 18 = 18, what is x? (a) 4 (b) 36 (c) 3 (d) 5
  36. 36.If 3x − 1 = 5, what is x? (a) 2 (b) 1 (c) 3 (d) 6
  37. 37.If x/5 + 14 = 18, what is x? (a) 160 (b) 20 (c) 76 (d) 4
  38. 38.If 6x − 14 = 4, what is x? (a) 18 (b) 3 (c) 2 (d) 4
  39. 39.If 3x + 21 = 66, what is x? (a) 45 (b) 16 (c) 29 (d) 15
  40. 40.If 7x − 66 = 11, what is x? (a) 77 (b) 12 (c) 10 (d) 11

Answer key

  1. 1
  2. 9
  3. 15
  4. 15
  5. 5
  6. 25
  7. 13
  8. 9
  9. 11
  10. 7
  11. 44
  12. 11
  13. 33
  14. 4
  15. 20
  16. 10
  17. 7
  18. 8
  19. 16
  20. 6
  21. 9
  22. 12
  23. 6
  24. 25
  25. 28
  26. 7
  27. 12
  28. 2
  29. 50
  30. 10
  31. 7
  32. 14
  33. 1
  34. 12
  35. 4
  36. 2
  37. 20
  38. 3
  39. 15
  40. 11

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