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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 134 · 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 + 17 = 5x + 47, what is x? (a) 9 (b) 11 (c) 10 (d) 12
  2. 2.If 9x + 8 = x + 64, what is x? (a) 9 (b) 8 (c) 6 (d) 7
  3. 3.If 4x + 17 = 3x + 19, what is x? (a) 4 (b) 36 (c) 3 (d) 2
  4. 4.If 4x + 16 = 3x + 18, what is x? (a) 3 (b) 2 (c) 4 (d) 34
  5. 5.If 7x − 2 = 26, what is x? (a) 3 (b) 28 (c) 4 (d) 5
  6. 6.If 4x + 12 = 56, what is x? (a) 44 (b) 11 (c) 12 (d) 17
  7. 7.If 7x − 56 = 35, what is x? (a) 91 (b) 14 (c) 12 (d) 13
  8. 8.If 6x + 16 = 4x + 20, what is x? (a) 3 (b) 18 (c) 2 (d) 4
  9. 9.If 9x − 12 = 6, what is x? (a) 3 (b) 2 (c) 1 (d) 18
  10. 10.If 3x + 2 = 2x + 9, what is x? (a) 7 (b) 9 (c) 8 (d) 11
  11. 11.If 4x + 5 = x + 38, what is x? (a) 12 (b) 13 (c) 11 (d) 10
  12. 12.If x/5 + 13 = 25, what is x? (a) 190 (b) 60 (c) 12 (d) 112
  13. 13.If 5x + 19 = 2x + 22, what is x? (a) 3 (b) 2 (c) 1 (d) 4
  14. 14.If x/5 + 12 = 18, what is x? (a) 30 (b) 78 (c) 6 (d) 150
  15. 15.If x/2 + 7 = 16, what is x? (a) 18 (b) 25 (c) 9 (d) 46
  16. 16.If x/6 + 3 = 11, what is x? (a) 84 (b) 8 (c) 63 (d) 48
  17. 17.If 3x + 13 = 2x + 22, what is x? (a) 10 (b) 11 (c) 9 (d) 35
  18. 18.If 4x + 9 = x + 15, what is x? (a) 3 (b) 8 (c) 4 (d) 2
  19. 19.If 8x − 53 = 51, what is x? (a) 14 (b) 12 (c) 104 (d) 13
  20. 20.If 7x − 25 = 3, what is x? (a) 5 (b) 4 (c) 3 (d) 28
  21. 21.If 9x + 3 = 8x + 14, what is x? (a) 12 (b) 11 (c) 17 (d) 13
  22. 22.If 5x − 2 = 8, what is x? (a) 10 (b) 2 (c) 1 (d) 3
  23. 23.If 5x − 1 = 19, what is x? (a) 3 (b) 5 (c) 4 (d) 20
  24. 24.If 7x + 13 = 104, what is x? (a) 13 (b) 12 (c) 91 (d) 14
  25. 25.If x/4 + 1 = 13, what is x? (a) 51 (b) 12 (c) 48 (d) 56
  26. 26.If x/5 + 2 = 14, what is x? (a) 60 (b) 80 (c) 68 (d) 12
  27. 27.If 3x + 4 = 31, what is x? (a) 27 (b) 8 (c) 10 (d) 9
  28. 28.If 8x + 4 = 6x + 10, what is x? (a) 4 (b) 3 (c) 7 (d) 5
  29. 29.If 9x + 15 = 132, what is x? (a) 12 (b) 13 (c) 117 (d) 14
  30. 30.If 5x − 19 = 6, what is x? (a) 6 (b) 25 (c) 5 (d) 4
  31. 31.If 4x − 36 = 16, what is x? (a) 14 (b) 13 (c) 52 (d) 12
  32. 32.If 9x + 9 = 54, what is x? (a) 5 (b) 6 (c) 7 (d) 45
  33. 33.If x/5 + 12 = 17, what is x? (a) 73 (b) 145 (c) 25 (d) 5
  34. 34.If 6x + 1 = 13, what is x? (a) 3 (b) 1 (c) 12 (d) 2
  35. 35.If 7x + 20 = 90, what is x? (a) 9 (b) 70 (c) 10 (d) 11
  36. 36.If 8x + 11 = x + 39, what is x? (a) 6 (b) 3 (c) 5 (d) 4
  37. 37.If 5x − 26 = 44, what is x? (a) 13 (b) 14 (c) 15 (d) 70
  38. 38.If 4x + 19 = 63, what is x? (a) 44 (b) 11 (c) 10 (d) 12
  39. 39.If x/6 + 7 = 9, what is x? (a) 12 (b) 96 (c) 47 (d) 2
  40. 40.If x/3 + 9 = 16, what is x? (a) 75 (b) 7 (c) 21 (d) 39

Answer key

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

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