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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 358 · 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 3x + 1 = 7, what is x? (a) 3 (b) 2 (c) 1 (d) 6
  2. 2.If 3x − 8 = 22, what is x? (a) 30 (b) 10 (c) 9 (d) 11
  3. 3.If x/3 + 12 = 21, what is x? (a) 51 (b) 27 (c) 9 (d) 99
  4. 4.If 4x − 1 = 15, what is x? (a) 16 (b) 3 (c) 5 (d) 4
  5. 5.If 5x + 5 = 3x + 15, what is x? (a) 5 (b) 7 (c) 10 (d) 6
  6. 6.If 4x + 20 = x + 35, what is x? (a) 5 (b) 3 (c) 6 (d) 7
  7. 7.If x/4 + 4 = 16, what is x? (a) 80 (b) 60 (c) 48 (d) 12
  8. 8.If 5x − 15 = 35, what is x? (a) 50 (b) 11 (c) 4 (d) 10
  9. 9.If 3x + 16 = 52, what is x? (a) 36 (b) 13 (c) 11 (d) 12
  10. 10.If 4x + 14 = 2x + 38, what is x? (a) 4 (b) 26 (c) 12 (d) 13
  11. 11.If 9x + 4 = 4x + 59, what is x? (a) 10 (b) 13 (c) 11 (d) 12
  12. 12.If x/5 + 11 = 23, what is x? (a) 170 (b) 104 (c) 60 (d) 12
  13. 13.If x/6 + 7 = 9, what is x? (a) 2 (b) 96 (c) 12 (d) 47
  14. 14.If 4x − 48 = 8, what is x? (a) 56 (b) 15 (c) 14 (d) 13
  15. 15.If x/5 + 6 = 11, what is x? (a) 25 (b) 85 (c) 49 (d) 5
  16. 16.If 5x − 31 = 9, what is x? (a) 9 (b) 7 (c) 8 (d) 40
  17. 17.If 5x + 20 = 50, what is x? (a) 7 (b) 14 (c) 30 (d) 6
  18. 18.If 4x + 7 = 55, what is x? (a) 13 (b) 11 (c) 12 (d) 48
  19. 19.If 4x + 6 = x + 39, what is x? (a) 12 (b) 11 (c) 13 (d) 15
  20. 20.If 7x − 5 = 16, what is x? (a) 2 (b) 4 (c) 21 (d) 3
  21. 21.If 4x + 17 = x + 47, what is x? (a) 6 (b) 10 (c) 11 (d) 12
  22. 22.If 3x + 20 = x + 26, what is x? (a) 23 (b) 4 (c) 5 (d) 3
  23. 23.If x/4 + 8 = 12, what is x? (a) 80 (b) 16 (c) 40 (d) 4
  24. 24.If 3x + 7 = 31, what is x? (a) 8 (b) 9 (c) 24 (d) 7
  25. 25.If x/6 + 7 = 10, what is x? (a) 3 (b) 53 (c) 18 (d) 102
  26. 26.If 6x − 5 = 13, what is x? (a) 3 (b) 2 (c) 4 (d) 18
  27. 27.If 4x + 28 = 80, what is x? (a) 27 (b) 52 (c) 14 (d) 13
  28. 28.If 4x − 14 = 6, what is x? (a) 4 (b) 20 (c) 6 (d) 5
  29. 29.If 3x + 8 = 32, what is x? (a) 9 (b) 7 (c) 8 (d) 24
  30. 30.If 7x + 18 = 4x + 54, what is x? (a) 24 (b) 13 (c) 12 (d) 14
  31. 31.If 9x − 94 = 5, what is x? (a) 12 (b) 10 (c) 11 (d) 99
  32. 32.If 4x − 19 = 21, what is x? (a) 9 (b) 40 (c) 11 (d) 10
  33. 33.If 5x + 3 = 23, what is x? (a) 3 (b) 20 (c) 5 (d) 4
  34. 34.If 2x + 27 = 49, what is x? (a) 22 (b) 11 (c) 12 (d) 38
  35. 35.If 3x + 17 = x + 27, what is x? (a) 22 (b) 7 (c) 6 (d) 5
  36. 36.If x/3 + 14 = 19, what is x? (a) 5 (b) 43 (c) 15 (d) 99
  37. 37.If 9x + 9 = 7x + 31, what is x? (a) 20 (b) 12 (c) 11 (d) 13
  38. 38.If 6x − 18 = 18, what is x? (a) 36 (b) 7 (c) 6 (d) 5
  39. 39.If 5x − 3 = 12, what is x? (a) 2 (b) 3 (c) 4 (d) 15
  40. 40.If 8x − 48 = 48, what is x? (a) 12 (b) 96 (c) 13 (d) 11

Answer key

  1. 2
  2. 10
  3. 27
  4. 4
  5. 5
  6. 5
  7. 48
  8. 10
  9. 12
  10. 12
  11. 11
  12. 60
  13. 12
  14. 14
  15. 25
  16. 8
  17. 6
  18. 12
  19. 11
  20. 3
  21. 10
  22. 3
  23. 16
  24. 8
  25. 18
  26. 3
  27. 13
  28. 5
  29. 8
  30. 12
  31. 11
  32. 10
  33. 4
  34. 11
  35. 5
  36. 15
  37. 11
  38. 6
  39. 3
  40. 12

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