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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 142 · 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 4x − 17 = 3, what is x? (a) 4 (b) 20 (c) 6 (d) 5
  2. 2.If x/3 + 2 = 10, what is x? (a) 24 (b) 36 (c) 28 (d) 8
  3. 3.If 7x − 19 = 44, what is x? (a) 8 (b) 10 (c) 9 (d) 63
  4. 4.If 6x + 28 = 106, what is x? (a) 14 (b) 78 (c) 12 (d) 13
  5. 5.If 8x + 29 = 45, what is x? (a) 2 (b) 16 (c) 1 (d) 3
  6. 6.If 6x + 6 = x + 61, what is x? (a) 11 (b) 10 (c) 12 (d) 13
  7. 7.If 6x + 5 = 35, what is x? (a) 5 (b) 6 (c) 4 (d) 30
  8. 8.If 7x − 19 = 9, what is x? (a) 28 (b) 3 (c) 4 (d) 5
  9. 9.If 2x + 28 = 58, what is x? (a) 15 (b) 30 (c) 16 (d) 43
  10. 10.If x/2 + 10 = 21, what is x? (a) 11 (b) 22 (c) 62 (d) 32
  11. 11.If 4x + 30 = 74, what is x? (a) 44 (b) 12 (c) 26 (d) 11
  12. 12.If 3x + 7 = x + 25, what is x? (a) 10 (b) 16 (c) 11 (d) 9
  13. 13.If 6x + 2 = 86, what is x? (a) 84 (b) 15 (c) 13 (d) 14
  14. 14.If 2x + 20 = 32, what is x? (a) 12 (b) 7 (c) 26 (d) 6
  15. 15.If x/6 + 12 = 18, what is x? (a) 180 (b) 96 (c) 6 (d) 36
  16. 16.If 8x + 13 = 7x + 18, what is x? (a) 6 (b) 7 (c) 5 (d) 31
  17. 17.If 4x − 20 = 8, what is x? (a) 28 (b) 6 (c) 7 (d) 8
  18. 18.If 6x + 4 = x + 9, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  19. 19.If 3x − 5 = 22, what is x? (a) 10 (b) 9 (c) 8 (d) 27
  20. 20.If 8x − 38 = 2, what is x? (a) 40 (b) 5 (c) 6 (d) 4
  21. 21.If x/4 + 11 = 15, what is x? (a) 49 (b) 4 (c) 16 (d) 104
  22. 22.If 2x − 7 = 21, what is x? (a) 28 (b) 15 (c) 7 (d) 14
  23. 23.If 2x + 22 = 32, what is x? (a) 6 (b) 10 (c) 5 (d) 27
  24. 24.If 8x + 27 = 99, what is x? (a) 72 (b) 9 (c) 8 (d) 10
  25. 25.If x/3 + 2 = 5, what is x? (a) 13 (b) 9 (c) 21 (d) 3
  26. 26.If 2x + 25 = 51, what is x? (a) 14 (b) 26 (c) 13 (d) 38
  27. 27.If 5x + 15 = 65, what is x? (a) 10 (b) 16 (c) 50 (d) 11
  28. 28.If 3x + 25 = 58, what is x? (a) 10 (b) 33 (c) 12 (d) 11
  29. 29.If 5x + 8 = x + 44, what is x? (a) 6 (b) 13 (c) 10 (d) 9
  30. 30.If 2x + 24 = 38, what is x? (a) 14 (b) 7 (c) 8 (d) 31
  31. 31.If x/2 + 11 = 21, what is x? (a) 64 (b) 10 (c) 20 (d) 31
  32. 32.If x/2 + 11 = 19, what is x? (a) 60 (b) 8 (c) 27 (d) 16
  33. 33.If 7x + 8 = 5x + 14, what is x? (a) 11 (b) 4 (c) 5 (d) 3
  34. 34.If 2x + 13 = 37, what is x? (a) 24 (b) 12 (c) 25 (d) 13
  35. 35.If 5x − 9 = 31, what is x? (a) 40 (b) 7 (c) 9 (d) 8
  36. 36.If 9x − 47 = 79, what is x? (a) 14 (b) 126 (c) 13 (d) 15
  37. 37.If 2x + 29 = 59, what is x? (a) 44 (b) 30 (c) 15 (d) 16
  38. 38.If 6x − 20 = 28, what is x? (a) 9 (b) 48 (c) 7 (d) 8
  39. 39.If x/4 + 8 = 20, what is x? (a) 12 (b) 48 (c) 72 (d) 112
  40. 40.If 5x − 31 = 24, what is x? (a) 11 (b) 55 (c) 12 (d) 10

Answer key

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

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