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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 93 · 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 + 12 = 20, what is x? (a) 160 (b) 8 (c) 40 (d) 88
  2. 2.If 5x − 24 = 11, what is x? (a) 7 (b) 8 (c) 35 (d) 6
  3. 3.If 2x + 13 = 41, what is x? (a) 14 (b) 27 (c) 15 (d) 28
  4. 4.If 3x + 8 = 2x + 12, what is x? (a) 6 (b) 20 (c) 5 (d) 4
  5. 5.If 7x + 1 = 2x + 41, what is x? (a) 7 (b) 10 (c) 9 (d) 8
  6. 6.If 4x + 1 = 13, what is x? (a) 2 (b) 12 (c) 4 (d) 3
  7. 7.If 3x + 12 = x + 16, what is x? (a) 2 (b) 3 (c) 1 (d) 14
  8. 8.If 7x + 11 = 4x + 29, what is x? (a) 7 (b) 5 (c) 8 (d) 6
  9. 9.If 8x + 17 = 81, what is x? (a) 7 (b) 64 (c) 9 (d) 8
  10. 10.If 5x + 20 = x + 44, what is x? (a) 16 (b) 6 (c) 7 (d) 4
  11. 11.If 4x + 28 = 48, what is x? (a) 20 (b) 19 (c) 6 (d) 5
  12. 12.If 8x + 6 = 5x + 9, what is x? (a) 5 (b) 2 (c) 3 (d) 1
  13. 13.If x/4 + 14 = 22, what is x? (a) 32 (b) 144 (c) 8 (d) 74
  14. 14.If x/3 + 7 = 11, what is x? (a) 54 (b) 4 (c) 26 (d) 12
  15. 15.If x/2 + 10 = 22, what is x? (a) 24 (b) 34 (c) 64 (d) 12
  16. 16.If 9x + 17 = 6x + 44, what is x? (a) 9 (b) 8 (c) 11 (d) 10
  17. 17.If 8x + 16 = 64, what is x? (a) 48 (b) 6 (c) 7 (d) 10
  18. 18.If x/5 + 11 = 21, what is x? (a) 10 (b) 94 (c) 50 (d) 160
  19. 19.If 9x − 115 = 2, what is x? (a) 12 (b) 13 (c) 117 (d) 14
  20. 20.If 9x + 2 = 47, what is x? (a) 5 (b) 6 (c) 4 (d) 45
  21. 21.If 2x + 25 = 43, what is x? (a) 9 (b) 34 (c) 18 (d) 10
  22. 22.If 9x − 24 = 12, what is x? (a) 36 (b) 5 (c) 3 (d) 4
  23. 23.If 8x + 1 = 41, what is x? (a) 5 (b) 4 (c) 40 (d) 6
  24. 24.If 4x + 9 = 3x + 13, what is x? (a) 6 (b) 22 (c) 4 (d) 5
  25. 25.If 4x − 18 = 2, what is x? (a) 20 (b) 6 (c) 4 (d) 5
  26. 26.If 7x + 3 = 80, what is x? (a) 12 (b) 10 (c) 77 (d) 11
  27. 27.If 7x + 9 = x + 75, what is x? (a) 11 (b) 14 (c) 12 (d) 13
  28. 28.If x/3 + 7 = 18, what is x? (a) 75 (b) 33 (c) 47 (d) 11
  29. 29.If 8x + 13 = x + 97, what is x? (a) 14 (b) 12 (c) 13 (d) 11
  30. 30.If 9x + 5 = 95, what is x? (a) 90 (b) 9 (c) 11 (d) 10
  31. 31.If 5x + 22 = 62, what is x? (a) 40 (b) 9 (c) 8 (d) 7
  32. 32.If x/5 + 6 = 8, what is x? (a) 10 (b) 70 (c) 34 (d) 2
  33. 33.If x/2 + 7 = 19, what is x? (a) 52 (b) 12 (c) 24 (d) 31
  34. 34.If 8x + 14 = 5x + 50, what is x? (a) 12 (b) 11 (c) 14 (d) 13
  35. 35.If x/4 + 1 = 9, what is x? (a) 40 (b) 35 (c) 8 (d) 32
  36. 36.If 8x + 24 = 136, what is x? (a) 14 (b) 112 (c) 20 (d) 15
  37. 37.If 2x + 8 = 30, what is x? (a) 11 (b) 22 (c) 19 (d) 12
  38. 38.If 9x + 12 = 39, what is x? (a) 27 (b) 2 (c) 4 (d) 3
  39. 39.If 9x + 2 = x + 34, what is x? (a) 6 (b) 4 (c) 5 (d) 3
  40. 40.If 7x − 9 = 61, what is x? (a) 10 (b) 11 (c) 70 (d) 9

Answer key

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

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