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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 266 · 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/2 + 8 = 19, what is x? (a) 11 (b) 22 (c) 30 (d) 54
  2. 2.If x/4 + 1 = 10, what is x? (a) 36 (b) 44 (c) 9 (d) 39
  3. 3.If 8x − 41 = 39, what is x? (a) 11 (b) 80 (c) 10 (d) 9
  4. 4.If 7x − 13 = 36, what is x? (a) 6 (b) 7 (c) 49 (d) 8
  5. 5.If x/5 + 4 = 7, what is x? (a) 15 (b) 31 (c) 3 (d) 55
  6. 6.If 6x + 26 = 86, what is x? (a) 10 (b) 60 (c) 11 (d) 9
  7. 7.If 8x + 16 = 3x + 46, what is x? (a) 5 (b) 8 (c) 6 (d) 7
  8. 8.If x/2 + 1 = 12, what is x? (a) 23 (b) 26 (c) 22 (d) 11
  9. 9.If x/5 + 14 = 21, what is x? (a) 35 (b) 91 (c) 175 (d) 7
  10. 10.If 9x + 10 = 8x + 17, what is x? (a) 7 (b) 9 (c) 8 (d) 27
  11. 11.If 5x − 6 = 14, what is x? (a) 20 (b) 5 (c) 4 (d) 3
  12. 12.If 6x − 11 = 19, what is x? (a) 4 (b) 6 (c) 30 (d) 5
  13. 13.If 3x + 5 = 20, what is x? (a) 15 (b) 6 (c) 4 (d) 5
  14. 14.If x/6 + 8 = 19, what is x? (a) 11 (b) 162 (c) 106 (d) 66
  15. 15.If 2x + 20 = 30, what is x? (a) 10 (b) 5 (c) 6 (d) 25
  16. 16.If 8x + 26 = 74, what is x? (a) 48 (b) 6 (c) 5 (d) 7
  17. 17.If 8x − 28 = 28, what is x? (a) 6 (b) 8 (c) 7 (d) 56
  18. 18.If 7x − 58 = 33, what is x? (a) 12 (b) 91 (c) 14 (d) 13
  19. 19.If x/3 + 4 = 9, what is x? (a) 23 (b) 5 (c) 39 (d) 15
  20. 20.If x/5 + 2 = 13, what is x? (a) 75 (b) 55 (c) 11 (d) 63
  21. 21.If 8x + 13 = 77, what is x? (a) 9 (b) 8 (c) 64 (d) 7
  22. 22.If 4x − 39 = 13, what is x? (a) 13 (b) 52 (c) 12 (d) 14
  23. 23.If x/5 + 3 = 13, what is x? (a) 80 (b) 62 (c) 50 (d) 10
  24. 24.If x/2 + 6 = 10, what is x? (a) 14 (b) 4 (c) 8 (d) 32
  25. 25.If 6x − 19 = 5, what is x? (a) 5 (b) 4 (c) 3 (d) 24
  26. 26.If 3x + 7 = x + 29, what is x? (a) 12 (b) 18 (c) 13 (d) 11
  27. 27.If 9x + 4 = 40, what is x? (a) 3 (b) 5 (c) 4 (d) 36
  28. 28.If 5x + 10 = x + 38, what is x? (a) 7 (b) 9 (c) 12 (d) 8
  29. 29.If 3x + 14 = 2x + 23, what is x? (a) 11 (b) 37 (c) 9 (d) 10
  30. 30.If 6x − 68 = 16, what is x? (a) 84 (b) 15 (c) 14 (d) 13
  31. 31.If 6x − 28 = 14, what is x? (a) 6 (b) 7 (c) 8 (d) 42
  32. 32.If 7x − 85 = 6, what is x? (a) 91 (b) 12 (c) 13 (d) 14
  33. 33.If 9x + 15 = 2x + 22, what is x? (a) 2 (b) 1 (c) 4 (d) 3
  34. 34.If 2x − 6 = 2, what is x? (a) 5 (b) 3 (c) 8 (d) 4
  35. 35.If x/4 + 11 = 14, what is x? (a) 45 (b) 12 (c) 3 (d) 100
  36. 36.If 8x − 8 = 88, what is x? (a) 13 (b) 10 (c) 96 (d) 12
  37. 37.If x/5 + 8 = 12, what is x? (a) 4 (b) 20 (c) 52 (d) 100
  38. 38.If 2x + 21 = 39, what is x? (a) 30 (b) 10 (c) 18 (d) 9
  39. 39.If 2x − 3 = 7, what is x? (a) 2 (b) 10 (c) 6 (d) 5
  40. 40.If 6x + 17 = 77, what is x? (a) 9 (b) 60 (c) 10 (d) 11

Answer key

  1. 22
  2. 36
  3. 10
  4. 7
  5. 15
  6. 10
  7. 6
  8. 22
  9. 35
  10. 7
  11. 4
  12. 5
  13. 5
  14. 66
  15. 5
  16. 6
  17. 7
  18. 13
  19. 15
  20. 55
  21. 8
  22. 13
  23. 50
  24. 8
  25. 4
  26. 11
  27. 4
  28. 7
  29. 9
  30. 14
  31. 7
  32. 13
  33. 1
  34. 4
  35. 12
  36. 12
  37. 20
  38. 9
  39. 5
  40. 10

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