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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 422 · 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 + 13 = 21, what is x? (a) 40 (b) 92 (c) 8 (d) 170
  2. 2.If x/2 + 10 = 21, what is x? (a) 62 (b) 32 (c) 11 (d) 22
  3. 3.If 8x + 2 = 98, what is x? (a) 13 (b) 12 (c) 11 (d) 96
  4. 4.If 2x − 9 = 17, what is x? (a) 14 (b) 13 (c) 26 (d) 4
  5. 5.If 4x + 5 = 3x + 8, what is x? (a) 4 (b) 5 (c) 13 (d) 3
  6. 6.If 6x + 28 = 76, what is x? (a) 48 (b) 7 (c) 9 (d) 8
  7. 7.If 5x − 17 = 13, what is x? (a) 7 (b) 30 (c) 5 (d) 6
  8. 8.If 9x − 3 = 87, what is x? (a) 9 (b) 90 (c) 11 (d) 10
  9. 9.If 8x + 19 = 51, what is x? (a) 4 (b) 32 (c) 5 (d) 3
  10. 10.If 2x + 29 = 43, what is x? (a) 7 (b) 14 (c) 36 (d) 8
  11. 11.If 8x + 10 = 130, what is x? (a) 15 (b) 120 (c) 14 (d) 16
  12. 12.If 2x + 3 = 19, what is x? (a) 9 (b) 16 (c) 11 (d) 8
  13. 13.If x/3 + 14 = 22, what is x? (a) 8 (b) 24 (c) 52 (d) 108
  14. 14.If 9x + 10 = 91, what is x? (a) 81 (b) 10 (c) 9 (d) 8
  15. 15.If 9x + 1 = 7x + 7, what is x? (a) 4 (b) 5 (c) 3 (d) 2
  16. 16.If 2x − 14 = 6, what is x? (a) 20 (b) 9 (c) 10 (d) 11
  17. 17.If x/2 + 2 = 11, what is x? (a) 18 (b) 20 (c) 9 (d) 26
  18. 18.If 8x − 18 = 38, what is x? (a) 8 (b) 7 (c) 6 (d) 56
  19. 19.If x/2 + 11 = 13, what is x? (a) 4 (b) 48 (c) 15 (d) 2
  20. 20.If 5x + 21 = 66, what is x? (a) 8 (b) 10 (c) 45 (d) 9
  21. 21.If x/2 + 11 = 17, what is x? (a) 12 (b) 23 (c) 56 (d) 6
  22. 22.If 3x + 14 = 2x + 20, what is x? (a) 8 (b) 34 (c) 6 (d) 7
  23. 23.If 4x + 17 = 3x + 28, what is x? (a) 45 (b) 13 (c) 11 (d) 12
  24. 24.If 3x + 6 = 2x + 10, what is x? (a) 6 (b) 4 (c) 5 (d) 16
  25. 25.If 4x − 21 = 11, what is x? (a) 32 (b) 7 (c) 9 (d) 8
  26. 26.If 9x − 3 = 42, what is x? (a) 45 (b) 4 (c) 6 (d) 5
  27. 27.If 8x − 80 = 32, what is x? (a) 14 (b) 15 (c) 112 (d) 13
  28. 28.If 8x − 31 = 65, what is x? (a) 12 (b) 13 (c) 11 (d) 96
  29. 29.If 7x − 32 = 10, what is x? (a) 42 (b) 6 (c) 5 (d) 7
  30. 30.If x/5 + 1 = 8, what is x? (a) 7 (b) 35 (c) 39 (d) 45
  31. 31.If x/6 + 10 = 12, what is x? (a) 2 (b) 62 (c) 12 (d) 132
  32. 32.If 4x + 7 = x + 34, what is x? (a) 10 (b) 11 (c) 8 (d) 9
  33. 33.If 5x + 19 = 94, what is x? (a) 75 (b) 16 (c) 15 (d) 14
  34. 34.If 5x − 23 = 32, what is x? (a) 10 (b) 11 (c) 12 (d) 55
  35. 35.If 4x + 9 = 21, what is x? (a) 3 (b) 4 (c) 2 (d) 12
  36. 36.If 3x − 31 = 5, what is x? (a) 36 (b) 13 (c) 11 (d) 12
  37. 37.If 2x − 17 = 5, what is x? (a) 12 (b) 10 (c) 11 (d) 22
  38. 38.If 5x + 7 = 3x + 9, what is x? (a) 1 (b) 2 (c) 3 (d) 8
  39. 39.If 9x + 7 = 3x + 61, what is x? (a) 10 (b) 11 (c) 8 (d) 9
  40. 40.If 8x − 99 = 21, what is x? (a) 14 (b) 15 (c) 16 (d) 120

Answer key

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

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