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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 417 · 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 − 91 = 7, what is x? (a) 15 (b) 98 (c) 13 (d) 14
  2. 2.If 4x + 13 = x + 49, what is x? (a) 12 (b) 11 (c) 13 (d) 14
  3. 3.If 2x + 11 = 23, what is x? (a) 7 (b) 6 (c) 12 (d) 17
  4. 4.If 4x − 49 = 3, what is x? (a) 12 (b) 14 (c) 52 (d) 13
  5. 5.If 5x + 4 = 24, what is x? (a) 3 (b) 20 (c) 4 (d) 5
  6. 6.If x/5 + 1 = 8, what is x? (a) 35 (b) 45 (c) 39 (d) 7
  7. 7.If 2x − 17 = 1, what is x? (a) 18 (b) 9 (c) 10 (d) 8
  8. 8.If 5x + 11 = x + 59, what is x? (a) 12 (b) 8 (c) 13 (d) 14
  9. 9.If x/5 + 13 = 16, what is x? (a) 145 (b) 3 (c) 15 (d) 67
  10. 10.If 3x + 5 = 50, what is x? (a) 16 (b) 45 (c) 14 (d) 15
  11. 11.If 8x − 48 = 56, what is x? (a) 13 (b) 14 (c) 104 (d) 1
  12. 12.If 6x + 24 = 42, what is x? (a) 11 (b) 3 (c) 18 (d) 4
  13. 13.If 4x − 15 = 1, what is x? (a) 5 (b) 16 (c) 4 (d) 3
  14. 14.If 9x + 29 = 146, what is x? (a) 117 (b) 13 (c) 12 (d) 14
  15. 15.If 5x − 3 = 17, what is x? (a) 20 (b) 4 (c) 3 (d) 5
  16. 16.If x/3 + 5 = 17, what is x? (a) 66 (b) 12 (c) 36 (d) 46
  17. 17.If 5x + 5 = 35, what is x? (a) 7 (b) 6 (c) 8 (d) 30
  18. 18.If x/3 + 4 = 9, what is x? (a) 39 (b) 5 (c) 23 (d) 15
  19. 19.If 8x + 18 = 106, what is x? (a) 88 (b) 12 (c) 10 (d) 11
  20. 20.If 3x + 2 = 8, what is x? (a) 3 (b) 6 (c) 2 (d) 1
  21. 21.If 8x − 5 = 83, what is x? (a) 10 (b) 12 (c) 11 (d) 88
  22. 22.If x/3 + 7 = 11, what is x? (a) 12 (b) 4 (c) 26 (d) 54
  23. 23.If 4x − 2 = 14, what is x? (a) 16 (b) 4 (c) 5 (d) 3
  24. 24.If 6x − 18 = 18, what is x? (a) 6 (b) 36 (c) 5 (d) 7
  25. 25.If 7x − 7 = 70, what is x? (a) 9 (b) 12 (c) 11 (d) 77
  26. 26.If x/6 + 12 = 19, what is x? (a) 7 (b) 42 (c) 186 (d) 102
  27. 27.If 8x + 24 = 80, what is x? (a) 7 (b) 56 (c) 13 (d) 8
  28. 28.If 5x + 20 = 2x + 53, what is x? (a) 13 (b) 12 (c) 11 (d) 10
  29. 29.If 3x + 3 = 36, what is x? (a) 33 (b) 13 (c) 11 (d) 12
  30. 30.If 8x + 13 = 77, what is x? (a) 7 (b) 8 (c) 64 (d) 9
  31. 31.If 7x + 25 = 60, what is x? (a) 4 (b) 35 (c) 5 (d) 6
  32. 32.If 8x + 1 = 49, what is x? (a) 5 (b) 7 (c) 6 (d) 48
  33. 33.If x/2 + 3 = 14, what is x? (a) 11 (b) 25 (c) 34 (d) 22
  34. 34.If 6x − 58 = 32, what is x? (a) 16 (b) 90 (c) 15 (d) 14
  35. 35.If 7x + 16 = x + 76, what is x? (a) 12 (b) 9 (c) 10 (d) 11
  36. 36.If 4x − 43 = 1, what is x? (a) 10 (b) 12 (c) 11 (d) 44
  37. 37.If 5x + 16 = 4x + 24, what is x? (a) 9 (b) 8 (c) 40 (d) 10
  38. 38.If 8x + 20 = x + 55, what is x? (a) 6 (b) 5 (c) 4 (d) 7
  39. 39.If 4x + 5 = 37, what is x? (a) 32 (b) 8 (c) 7 (d) 9
  40. 40.If 9x + 19 = x + 75, what is x? (a) 9 (b) 8 (c) 6 (d) 7

Answer key

  1. 14
  2. 12
  3. 6
  4. 13
  5. 4
  6. 35
  7. 9
  8. 12
  9. 15
  10. 15
  11. 13
  12. 3
  13. 4
  14. 13
  15. 4
  16. 36
  17. 6
  18. 15
  19. 11
  20. 2
  21. 11
  22. 12
  23. 4
  24. 6
  25. 11
  26. 42
  27. 7
  28. 11
  29. 11
  30. 8
  31. 5
  32. 6
  33. 22
  34. 15
  35. 10
  36. 11
  37. 8
  38. 5
  39. 8
  40. 7

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