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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 71 · 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 6x + 7 = 67, what is x? (a) 11 (b) 60 (c) 9 (d) 10
  2. 2.If x/3 + 1 = 12, what is x? (a) 33 (b) 39 (c) 35 (d) 11
  3. 3.If 8x − 26 = 6, what is x? (a) 4 (b) 5 (c) 3 (d) 32
  4. 4.If 8x − 58 = 62, what is x? (a) 14 (b) 16 (c) 15 (d) 120
  5. 5.If x/4 + 8 = 16, what is x? (a) 96 (b) 8 (c) 56 (d) 32
  6. 6.If x/3 + 10 = 21, what is x? (a) 93 (b) 11 (c) 33 (d) 53
  7. 7.If 8x − 77 = 19, what is x? (a) 13 (b) 11 (c) 12 (d) 96
  8. 8.If 9x − 27 = 81, what is x? (a) 6 (b) 108 (c) 13 (d) 12
  9. 9.If 8x + 5 = 2x + 41, what is x? (a) 7 (b) 6 (c) 5 (d) 8
  10. 10.If x/3 + 14 = 17, what is x? (a) 37 (b) 9 (c) 93 (d) 3
  11. 11.If 4x + 25 = 45, what is x? (a) 4 (b) 6 (c) 20 (d) 5
  12. 12.If 7x + 12 = 47, what is x? (a) 5 (b) 6 (c) 4 (d) 35
  13. 13.If 5x + 13 = 3x + 31, what is x? (a) 22 (b) 11 (c) 9 (d) 10
  14. 14.If 8x + 28 = 124, what is x? (a) 96 (b) 13 (c) 19 (d) 12
  15. 15.If 4x + 8 = 68, what is x? (a) 15 (b) 60 (c) 16 (d) 19
  16. 16.If 2x − 7 = 13, what is x? (a) 3 (b) 11 (c) 10 (d) 20
  17. 17.If 7x + 3 = 87, what is x? (a) 84 (b) 12 (c) 11 (d) 13
  18. 18.If 2x + 22 = 26, what is x? (a) 2 (b) 24 (c) 3 (d) 4
  19. 19.If 8x + 2 = 90, what is x? (a) 88 (b) 10 (c) 11 (d) 12
  20. 20.If 6x + 4 = 28, what is x? (a) 5 (b) 3 (c) 4 (d) 24
  21. 21.If 3x + 1 = x + 9, what is x? (a) 5 (b) 2 (c) 6 (d) 4
  22. 22.If x/2 + 4 = 6, what is x? (a) 8 (b) 2 (c) 20 (d) 4
  23. 23.If 7x + 14 = x + 62, what is x? (a) 10 (b) 9 (c) 8 (d) 6
  24. 24.If x/6 + 9 = 18, what is x? (a) 99 (b) 162 (c) 54 (d) 9
  25. 25.If x/4 + 7 = 18, what is x? (a) 65 (b) 44 (c) 11 (d) 100
  26. 26.If 7x + 12 = 89, what is x? (a) 11 (b) 12 (c) 10 (d) 77
  27. 27.If 5x + 1 = 66, what is x? (a) 12 (b) 14 (c) 65 (d) 13
  28. 28.If x/5 + 15 = 17, what is x? (a) 160 (b) 2 (c) 10 (d) 70
  29. 29.If 9x + 16 = 4x + 66, what is x? (a) 9 (b) 10 (c) 11 (d) 12
  30. 30.If 3x + 27 = 51, what is x? (a) 9 (b) 24 (c) 26 (d) 8
  31. 31.If 3x + 1 = 31, what is x? (a) 11 (b) 10 (c) 30 (d) 9
  32. 32.If 2x + 5 = 21, what is x? (a) 16 (b) 9 (c) 8 (d) 13
  33. 33.If 2x + 2 = 16, what is x? (a) 14 (b) 7 (c) 8 (d) 9
  34. 34.If 4x − 22 = 10, what is x? (a) 32 (b) 7 (c) 8 (d) 9
  35. 35.If 7x + 26 = 82, what is x? (a) 9 (b) 7 (c) 56 (d) 8
  36. 36.If 6x + 1 = 4x + 7, what is x? (a) 4 (b) 2 (c) 3 (d) 5
  37. 37.If 5x + 24 = 94, what is x? (a) 70 (b) 15 (c) 13 (d) 14
  38. 38.If 7x − 1 = 34, what is x? (a) 35 (b) 6 (c) 5 (d) 4
  39. 39.If 4x − 35 = 13, what is x? (a) 13 (b) 48 (c) 11 (d) 12
  40. 40.If 3x + 10 = 2x + 16, what is x? (a) 8 (b) 26 (c) 6 (d) 7

Answer key

  1. 10
  2. 33
  3. 4
  4. 15
  5. 32
  6. 33
  7. 12
  8. 12
  9. 6
  10. 9
  11. 5
  12. 5
  13. 9
  14. 12
  15. 15
  16. 10
  17. 12
  18. 2
  19. 11
  20. 4
  21. 4
  22. 4
  23. 8
  24. 54
  25. 44
  26. 11
  27. 13
  28. 10
  29. 10
  30. 8
  31. 10
  32. 8
  33. 7
  34. 8
  35. 8
  36. 3
  37. 14
  38. 5
  39. 12
  40. 6

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