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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 97 · 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 4x − 11 = 1, what is x? (a) 12 (b) 3 (c) 4 (d) 2
  2. 2.If 3x + 7 = 52, what is x? (a) 14 (b) 45 (c) 15 (d) 16
  3. 3.If 9x + 27 = 72, what is x? (a) 6 (b) 11 (c) 5 (d) 45
  4. 4.If 2x + 1 = 13, what is x? (a) 5 (b) 6 (c) 7 (d) 12
  5. 5.If x/4 + 13 = 20, what is x? (a) 28 (b) 7 (c) 67 (d) 132
  6. 6.If 3x − 1 = 8, what is x? (a) 4 (b) 2 (c) 9 (d) 3
  7. 7.If x/3 + 9 = 11, what is x? (a) 6 (b) 24 (c) 2 (d) 60
  8. 8.If x/4 + 7 = 13, what is x? (a) 24 (b) 80 (c) 6 (d) 45
  9. 9.If 8x + 3 = 27, what is x? (a) 4 (b) 2 (c) 24 (d) 3
  10. 10.If 5x + 7 = 3x + 27, what is x? (a) 17 (b) 12 (c) 10 (d) 11
  11. 11.If 5x + 2 = 42, what is x? (a) 40 (b) 9 (c) 8 (d) 7
  12. 12.If 9x + 9 = 135, what is x? (a) 126 (b) 15 (c) 14 (d) 16
  13. 13.If 5x + 12 = 2x + 45, what is x? (a) 19 (b) 12 (c) 13 (d) 11
  14. 14.If 8x + 29 = 61, what is x? (a) 3 (b) 32 (c) 5 (d) 4
  15. 15.If x/2 + 6 = 10, what is x? (a) 32 (b) 14 (c) 4 (d) 8
  16. 16.If x/2 + 13 = 24, what is x? (a) 35 (b) 74 (c) 11 (d) 22
  17. 17.If 7x + 21 = 42, what is x? (a) 4 (b) 21 (c) 3 (d) 9
  18. 18.If 7x + 13 = 6x + 18, what is x? (a) 6 (b) 7 (c) 5 (d) 31
  19. 19.If 4x + 12 = 2x + 22, what is x? (a) 17 (b) 6 (c) 7 (d) 5
  20. 20.If 9x + 8 = 80, what is x? (a) 7 (b) 72 (c) 9 (d) 8
  21. 21.If x/5 + 13 = 18, what is x? (a) 77 (b) 25 (c) 5 (d) 155
  22. 22.If 7x + 10 = 24, what is x? (a) 2 (b) 14 (c) 1 (d) 3
  23. 23.If 8x + 1 = 33, what is x? (a) 32 (b) 5 (c) 3 (d) 4
  24. 24.If x/6 + 14 = 24, what is x? (a) 130 (b) 10 (c) 228 (d) 60
  25. 25.If x/3 + 15 = 24, what is x? (a) 57 (b) 27 (c) 9 (d) 117
  26. 26.If 4x − 25 = 35, what is x? (a) 15 (b) 16 (c) 14 (d) 60
  27. 27.If 3x − 9 = 12, what is x? (a) 7 (b) 1 (c) 21 (d) 8
  28. 28.If 2x + 25 = 31, what is x? (a) 4 (b) 3 (c) 6 (d) 28
  29. 29.If 5x − 29 = 36, what is x? (a) 12 (b) 65 (c) 14 (d) 13
  30. 30.If 4x + 20 = 32, what is x? (a) 13 (b) 4 (c) 12 (d) 3
  31. 31.If 9x + 22 = 67, what is x? (a) 45 (b) 4 (c) 6 (d) 5
  32. 32.If x/4 + 8 = 14, what is x? (a) 24 (b) 6 (c) 48 (d) 88
  33. 33.If x/4 + 14 = 23, what is x? (a) 9 (b) 148 (c) 78 (d) 36
  34. 34.If 7x + 6 = 5x + 22, what is x? (a) 8 (b) 9 (c) 10 (d) 14
  35. 35.If 4x + 2 = 38, what is x? (a) 10 (b) 8 (c) 36 (d) 9
  36. 36.If x/4 + 6 = 10, what is x? (a) 34 (b) 64 (c) 4 (d) 16
  37. 37.If 3x − 36 = 3, what is x? (a) 12 (b) 39 (c) 13 (d) 14
  38. 38.If 8x + 2 = 7x + 12, what is x? (a) 11 (b) 12 (c) 14 (d) 10
  39. 39.If 8x − 34 = 38, what is x? (a) 10 (b) 72 (c) 8 (d) 9
  40. 40.If 5x + 19 = 3x + 25, what is x? (a) 4 (b) 22 (c) 3 (d) 5

Answer key

  1. 3
  2. 15
  3. 5
  4. 6
  5. 28
  6. 3
  7. 6
  8. 24
  9. 3
  10. 10
  11. 8
  12. 14
  13. 11
  14. 4
  15. 8
  16. 22
  17. 3
  18. 5
  19. 5
  20. 8
  21. 25
  22. 2
  23. 4
  24. 60
  25. 27
  26. 15
  27. 7
  28. 3
  29. 13
  30. 3
  31. 5
  32. 24
  33. 36
  34. 8
  35. 9
  36. 16
  37. 13
  38. 10
  39. 9
  40. 3

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