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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 149 · 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 8x − 51 = 69, what is x? (a) 16 (b) 14 (c) 120 (d) 15
  2. 2.If 4x + 10 = x + 43, what is x? (a) 10 (b) 13 (c) 12 (d) 11
  3. 3.If 4x − 9 = 7, what is x? (a) 5 (b) 16 (c) 4 (d) 3
  4. 4.If x/3 + 5 = 8, what is x? (a) 19 (b) 39 (c) 3 (d) 9
  5. 5.If 4x + 4 = x + 40, what is x? (a) 11 (b) 13 (c) 14 (d) 12
  6. 6.If 8x − 3 = 13, what is x? (a) 3 (b) 16 (c) 1 (d) 2
  7. 7.If 9x + 4 = 8x + 9, what is x? (a) 5 (b) 13 (c) 6 (d) 7
  8. 8.If 5x − 12 = 18, what is x? (a) 6 (b) 30 (c) 7 (d) 5
  9. 9.If 9x − 22 = 50, what is x? (a) 9 (b) 7 (c) 72 (d) 8
  10. 10.If 7x − 56 = 21, what is x? (a) 77 (b) 11 (c) 12 (d) 10
  11. 11.If 3x + 20 = 2x + 28, what is x? (a) 8 (b) 9 (c) 48 (d) 10
  12. 12.If 8x + 9 = 89, what is x? (a) 9 (b) 10 (c) 80 (d) 11
  13. 13.If 3x + 6 = 45, what is x? (a) 13 (b) 14 (c) 17 (d) 39
  14. 14.If x/4 + 8 = 20, what is x? (a) 12 (b) 112 (c) 48 (d) 72
  15. 15.If x/2 + 13 = 21, what is x? (a) 68 (b) 16 (c) 29 (d) 8
  16. 16.If x/5 + 3 = 15, what is x? (a) 12 (b) 90 (c) 72 (d) 60
  17. 17.If 9x + 3 = 57, what is x? (a) 5 (b) 7 (c) 6 (d) 54
  18. 18.If 6x + 5 = x + 35, what is x? (a) 7 (b) 8 (c) 5 (d) 6
  19. 19.If 4x + 15 = 39, what is x? (a) 24 (b) 5 (c) 7 (d) 6
  20. 20.If 3x − 10 = 11, what is x? (a) 8 (b) 21 (c) 6 (d) 7
  21. 21.If 5x + 13 = 4x + 22, what is x? (a) 9 (b) 35 (c) 10 (d) 1
  22. 22.If 2x − 4 = 6, what is x? (a) 10 (b) 1 (c) 6 (d) 5
  23. 23.If 5x − 39 = 21, what is x? (a) 13 (b) 12 (c) 11 (d) 60
  24. 24.If x/4 + 6 = 18, what is x? (a) 48 (b) 12 (c) 96 (d) 66
  25. 25.If 3x + 15 = x + 19, what is x? (a) 2 (b) 17 (c) 1 (d) 3
  26. 26.If 8x + 14 = 86, what is x? (a) 72 (b) 10 (c) 8 (d) 9
  27. 27.If 9x − 68 = 4, what is x? (a) 9 (b) 72 (c) 7 (d) 8
  28. 28.If x/6 + 12 = 24, what is x? (a) 132 (b) 12 (c) 216 (d) 72
  29. 29.If 5x + 12 = 37, what is x? (a) 5 (b) 25 (c) 6 (d) 4
  30. 30.If 8x + 5 = 69, what is x? (a) 8 (b) 9 (c) 64 (d) 7
  31. 31.If 4x + 6 = 3x + 10, what is x? (a) 16 (b) 6 (c) 5 (d) 4
  32. 32.If 8x + 18 = 106, what is x? (a) 12 (b) 88 (c) 10 (d) 11
  33. 33.If 7x + 1 = 2x + 61, what is x? (a) 13 (b) 14 (c) 11 (d) 12
  34. 34.If 4x + 15 = x + 51, what is x? (a) 22 (b) 13 (c) 12 (d) 14
  35. 35.If 9x + 16 = 3x + 46, what is x? (a) 5 (b) 7 (c) 4 (d) 6
  36. 36.If x/6 + 7 = 9, what is x? (a) 47 (b) 12 (c) 2 (d) 96
  37. 37.If 8x + 6 = 2x + 78, what is x? (a) 13 (b) 11 (c) 12 (d) 14
  38. 38.If 2x − 6 = 4, what is x? (a) 4 (b) 6 (c) 10 (d) 5
  39. 39.If 8x − 19 = 13, what is x? (a) 32 (b) 5 (c) 4 (d) 3
  40. 40.If 9x + 27 = 90, what is x? (a) 8 (b) 7 (c) 13 (d) 63

Answer key

  1. 15
  2. 11
  3. 4
  4. 9
  5. 12
  6. 2
  7. 5
  8. 6
  9. 8
  10. 11
  11. 8
  12. 10
  13. 13
  14. 48
  15. 16
  16. 60
  17. 6
  18. 6
  19. 6
  20. 7
  21. 9
  22. 5
  23. 12
  24. 48
  25. 2
  26. 9
  27. 8
  28. 72
  29. 5
  30. 8
  31. 4
  32. 11
  33. 12
  34. 12
  35. 5
  36. 12
  37. 12
  38. 5
  39. 4
  40. 7

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