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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 825 · 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/4 + 5 = 7, what is x? (a) 48 (b) 23 (c) 2 (d) 8
  2. 2.If 4x − 5 = 23, what is x? (a) 8 (b) 28 (c) 6 (d) 7
  3. 3.If 5x + 2 = 62, what is x? (a) 12 (b) 13 (c) 11 (d) 60
  4. 4.If 8x + 11 = 2x + 41, what is x? (a) 3 (b) 7 (c) 5 (d) 6
  5. 5.If 7x + 10 = 6x + 11, what is x? (a) 2 (b) 21 (c) 3 (d) 1
  6. 6.If 3x − 13 = 17, what is x? (a) 10 (b) 30 (c) 9 (d) 11
  7. 7.If 2x + 23 = 35, what is x? (a) 6 (b) 29 (c) 7 (d) 12
  8. 8.If x/5 + 6 = 16, what is x? (a) 110 (b) 10 (c) 50 (d) 74
  9. 9.If 4x − 35 = 9, what is x? (a) 12 (b) 44 (c) 10 (d) 11
  10. 10.If 9x − 25 = 110, what is x? (a) 14 (b) 16 (c) 15 (d) 135
  11. 11.If 5x − 58 = 17, what is x? (a) 75 (b) 14 (c) 15 (d) 16
  12. 12.If x/2 + 9 = 14, what is x? (a) 5 (b) 46 (c) 10 (d) 19
  13. 13.If 7x + 23 = 44, what is x? (a) 4 (b) 3 (c) 21 (d) 2
  14. 14.If x/2 + 8 = 16, what is x? (a) 8 (b) 48 (c) 24 (d) 16
  15. 15.If 8x + 2 = 7x + 9, what is x? (a) 11 (b) 9 (c) 8 (d) 7
  16. 16.If 9x + 8 = 80, what is x? (a) 9 (b) 7 (c) 8 (d) 72
  17. 17.If x/2 + 2 = 9, what is x? (a) 14 (b) 22 (c) 7 (d) 16
  18. 18.If 3x + 3 = 15, what is x? (a) 12 (b) 5 (c) 6 (d) 4
  19. 19.If 6x + 28 = 40, what is x? (a) 12 (b) 2 (c) 3 (d) 1
  20. 20.If 7x + 11 = x + 53, what is x? (a) 8 (b) 9 (c) 6 (d) 7
  21. 21.If 2x + 16 = 30, what is x? (a) 8 (b) 7 (c) 14 (d) 23
  22. 22.If 8x + 6 = 2x + 24, what is x? (a) 2 (b) 3 (c) 4 (d) 5
  23. 23.If 3x + 17 = 23, what is x? (a) 6 (b) 1 (c) 2 (d) 3
  24. 24.If 3x − 4 = 8, what is x? (a) 5 (b) 3 (c) 12 (d) 4
  25. 25.If 6x + 1 = 25, what is x? (a) 5 (b) 3 (c) 24 (d) 4
  26. 26.If 3x + 20 = 32, what is x? (a) 3 (b) 4 (c) 12 (d) 5
  27. 27.If 3x + 20 = 41, what is x? (a) 6 (b) 21 (c) 8 (d) 7
  28. 28.If 3x + 12 = 2x + 16, what is x? (a) 6 (b) 4 (c) 28 (d) 5
  29. 29.If 3x − 1 = 8, what is x? (a) 9 (b) 4 (c) 2 (d) 3
  30. 30.If 4x + 5 = x + 41, what is x? (a) 14 (b) 11 (c) 13 (d) 12
  31. 31.If 6x + 9 = 75, what is x? (a) 14 (b) 11 (c) 12 (d) 66
  32. 32.If x/2 + 6 = 18, what is x? (a) 30 (b) 12 (c) 48 (d) 24
  33. 33.If 9x + 3 = 39, what is x? (a) 4 (b) 3 (c) 36 (d) 5
  34. 34.If 6x + 29 = 89, what is x? (a) 9 (b) 60 (c) 11 (d) 10
  35. 35.If 3x + 8 = 44, what is x? (a) 12 (b) 11 (c) 13 (d) 36
  36. 36.If 2x − 8 = 4, what is x? (a) 6 (b) 12 (c) 5 (d) 7
  37. 37.If x/6 + 2 = 6, what is x? (a) 34 (b) 24 (c) 4 (d) 48
  38. 38.If 5x − 7 = 13, what is x? (a) 5 (b) 20 (c) 4 (d) 3
  39. 39.If 4x + 3 = 35, what is x? (a) 7 (b) 8 (c) 32 (d) 9
  40. 40.If 8x + 20 = 4x + 56, what is x? (a) 19 (b) 9 (c) 3 (d) 10

Answer key

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

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