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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 29 · 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 + 15 = 23, what is x? (a) 40 (b) 8 (c) 190 (d) 100
  2. 2.If 5x + 2 = 27, what is x? (a) 25 (b) 4 (c) 5 (d) 6
  3. 3.If x/4 + 3 = 5, what is x? (a) 17 (b) 32 (c) 8 (d) 2
  4. 4.If 7x + 10 = 59, what is x? (a) 7 (b) 49 (c) 6 (d) 8
  5. 5.If 5x − 49 = 6, what is x? (a) 10 (b) 11 (c) 55 (d) 12
  6. 6.If 5x + 29 = 74, what is x? (a) 8 (b) 9 (c) 10 (d) 45
  7. 7.If 6x − 10 = 14, what is x? (a) 24 (b) 4 (c) 5 (d) 3
  8. 8.If 2x + 24 = 28, what is x? (a) 4 (b) 26 (c) 3 (d) 2
  9. 9.If 6x + 5 = 4x + 9, what is x? (a) 2 (b) 4 (c) 7 (d) 3
  10. 10.If 6x + 30 = 60, what is x? (a) 5 (b) 30 (c) 15 (d) 6
  11. 11.If 8x − 8 = 16, what is x? (a) 1 (b) 4 (c) 3 (d) 24
  12. 12.If 6x + 23 = 59, what is x? (a) 7 (b) 6 (c) 36 (d) 5
  13. 13.If x/4 + 6 = 10, what is x? (a) 34 (b) 64 (c) 16 (d) 4
  14. 14.If x/5 + 2 = 6, what is x? (a) 20 (b) 40 (c) 28 (d) 4
  15. 15.If 6x + 14 = 104, what is x? (a) 14 (b) 16 (c) 15 (d) 90
  16. 16.If 5x − 32 = 18, what is x? (a) 50 (b) 11 (c) 9 (d) 10
  17. 17.If 3x + 23 = 32, what is x? (a) 3 (b) 9 (c) 4 (d) 2
  18. 18.If 5x + 30 = 65, what is x? (a) 7 (b) 19 (c) 35 (d) 8
  19. 19.If 8x − 12 = 4, what is x? (a) 2 (b) 3 (c) 16 (d) 1
  20. 20.If 2x + 16 = 28, what is x? (a) 6 (b) 12 (c) 22 (d) 7
  21. 21.If 5x + 5 = 65, what is x? (a) 13 (b) 14 (c) 60 (d) 12
  22. 22.If 7x + 16 = 51, what is x? (a) 35 (b) 4 (c) 5 (d) 6
  23. 23.If 9x + 5 = 59, what is x? (a) 7 (b) 5 (c) 54 (d) 6
  24. 24.If x/3 + 3 = 5, what is x? (a) 24 (b) 6 (c) 12 (d) 2
  25. 25.If 7x − 26 = 37, what is x? (a) 10 (b) 8 (c) 63 (d) 9
  26. 26.If 4x + 6 = 22, what is x? (a) 5 (b) 16 (c) 7 (d) 4
  27. 27.If 5x + 11 = 61, what is x? (a) 10 (b) 9 (c) 50 (d) 11
  28. 28.If 7x + 29 = 43, what is x? (a) 14 (b) 1 (c) 2 (d) 3
  29. 29.If x/4 + 10 = 18, what is x? (a) 62 (b) 112 (c) 32 (d) 8
  30. 30.If 9x + 1 = 4x + 41, what is x? (a) 8 (b) 10 (c) 7 (d) 9
  31. 31.If 5x + 15 = 4x + 17, what is x? (a) 4 (b) 2 (c) 32 (d) 3
  32. 32.If 6x + 11 = 4x + 25, what is x? (a) 8 (b) 9 (c) 7 (d) 18
  33. 33.If 2x − 3 = 27, what is x? (a) 16 (b) 15 (c) 12 (d) 30
  34. 34.If 5x + 16 = 56, what is x? (a) 40 (b) 8 (c) 7 (d) 9
  35. 35.If x/3 + 2 = 8, what is x? (a) 30 (b) 22 (c) 18 (d) 6
  36. 36.If x/4 + 1 = 13, what is x? (a) 51 (b) 12 (c) 56 (d) 48
  37. 37.If 6x + 28 = 106, what is x? (a) 78 (b) 13 (c) 12 (d) 14
  38. 38.If 7x − 15 = 90, what is x? (a) 105 (b) 14 (c) 16 (d) 15
  39. 39.If 2x − 3 = 3, what is x? (a) 2 (b) 3 (c) 4 (d) 6
  40. 40.If 8x + 3 = 83, what is x? (a) 11 (b) 9 (c) 10 (d) 80

Answer key

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

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