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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 726 · 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 7x + 11 = 88, what is x? (a) 77 (b) 10 (c) 12 (d) 11
  2. 2.If 4x − 19 = 5, what is x? (a) 7 (b) 6 (c) 24 (d) 5
  3. 3.If 8x + 18 = 138, what is x? (a) 14 (b) 16 (c) 120 (d) 15
  4. 4.If 6x − 22 = 32, what is x? (a) 54 (b) 10 (c) 8 (d) 9
  5. 5.If 5x − 2 = 28, what is x? (a) 7 (b) 6 (c) 5 (d) 30
  6. 6.If x/2 + 14 = 16, what is x? (a) 4 (b) 60 (c) 2 (d) 18
  7. 7.If 5x + 6 = 16, what is x? (a) 3 (b) 10 (c) 2 (d) 1
  8. 8.If 4x + 15 = 3x + 20, what is x? (a) 7 (b) 6 (c) 5 (d) 35
  9. 9.If x/5 + 2 = 10, what is x? (a) 40 (b) 60 (c) 48 (d) 8
  10. 10.If 7x − 34 = 29, what is x? (a) 10 (b) 9 (c) 63 (d) 8
  11. 11.If x/3 + 9 = 12, what is x? (a) 27 (b) 3 (c) 63 (d) 9
  12. 12.If 8x + 18 = 2x + 36, what is x? (a) 5 (b) 9 (c) 3 (d) 4
  13. 13.If 4x + 25 = 65, what is x? (a) 11 (b) 10 (c) 40 (d) 9
  14. 14.If 4x + 25 = 69, what is x? (a) 10 (b) 11 (c) 44 (d) 12
  15. 15.If 4x + 15 = 2x + 35, what is x? (a) 11 (b) 10 (c) 12 (d) 25
  16. 16.If 8x + 20 = 68, what is x? (a) 11 (b) 48 (c) 6 (d) 7
  17. 17.If 8x − 82 = 14, what is x? (a) 11 (b) 96 (c) 13 (d) 12
  18. 18.If x/6 + 4 = 9, what is x? (a) 5 (b) 78 (c) 30 (d) 50
  19. 19.If x/2 + 14 = 23, what is x? (a) 9 (b) 18 (c) 32 (d) 74
  20. 20.If x/6 + 6 = 15, what is x? (a) 9 (b) 84 (c) 126 (d) 54
  21. 21.If 6x + 7 = 4x + 29, what is x? (a) 18 (b) 11 (c) 13 (d) 12
  22. 22.If x/4 + 3 = 13, what is x? (a) 49 (b) 64 (c) 10 (d) 40
  23. 23.If 7x − 64 = 34, what is x? (a) 98 (b) 15 (c) 14 (d) 13
  24. 24.If 5x + 9 = x + 57, what is x? (a) 8 (b) 13 (c) 12 (d) 14
  25. 25.If 9x + 1 = 19, what is x? (a) 3 (b) 18 (c) 2 (d) 1
  26. 26.If x/4 + 8 = 16, what is x? (a) 32 (b) 56 (c) 96 (d) 8
  27. 27.If 8x − 54 = 2, what is x? (a) 7 (b) 6 (c) 56 (d) 8
  28. 28.If 8x + 1 = 4x + 13, what is x? (a) 4 (b) 3 (c) 5 (d) 1
  29. 29.If 6x − 9 = 81, what is x? (a) 16 (b) 12 (c) 15 (d) 90
  30. 30.If 9x + 29 = 47, what is x? (a) 1 (b) 18 (c) 2 (d) 3
  31. 31.If 3x + 9 = 48, what is x? (a) 19 (b) 14 (c) 13 (d) 39
  32. 32.If 3x + 2 = x + 8, what is x? (a) 4 (b) 2 (c) 3 (d) 5
  33. 33.If 7x − 9 = 82, what is x? (a) 13 (b) 91 (c) 14 (d) 12
  34. 34.If 5x + 13 = 38, what is x? (a) 25 (b) 4 (c) 5 (d) 6
  35. 35.If x/2 + 1 = 11, what is x? (a) 21 (b) 10 (c) 24 (d) 20
  36. 36.If 4x + 13 = 3x + 23, what is x? (a) 36 (b) 12 (c) 10 (d) 11
  37. 37.If 7x + 6 = 2x + 36, what is x? (a) 6 (b) 8 (c) 5 (d) 7
  38. 38.If 6x + 19 = 2x + 39, what is x? (a) 7 (b) 5 (c) 6 (d) 4
  39. 39.If 4x + 6 = 2x + 12, what is x? (a) 1 (b) 9 (c) 4 (d) 3
  40. 40.If 9x − 60 = 66, what is x? (a) 15 (b) 126 (c) 14 (d) 13

Answer key

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

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