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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 219 · 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 x/3 + 15 = 26, what is x? (a) 33 (b) 63 (c) 123 (d) 11
  2. 2.If 4x + 4 = x + 13, what is x? (a) 4 (b) 5 (c) 3 (d) 2
  3. 3.If x/3 + 13 = 16, what is x? (a) 87 (b) 35 (c) 9 (d) 3
  4. 4.If 7x − 51 = 5, what is x? (a) 9 (b) 56 (c) 8 (d) 7
  5. 5.If 4x + 28 = 84, what is x? (a) 28 (b) 14 (c) 56 (d) 15
  6. 6.If x/3 + 3 = 7, what is x? (a) 18 (b) 30 (c) 12 (d) 4
  7. 7.If x/6 + 3 = 15, what is x? (a) 87 (b) 72 (c) 108 (d) 12
  8. 8.If 9x − 96 = 3, what is x? (a) 99 (b) 10 (c) 12 (d) 11
  9. 9.If 3x − 32 = 13, what is x? (a) 15 (b) 16 (c) 14 (d) 45
  10. 10.If 9x − 59 = 49, what is x? (a) 108 (b) 12 (c) 13 (d) 11
  11. 11.If 6x + 14 = 4x + 22, what is x? (a) 6 (b) 4 (c) 18 (d) 5
  12. 12.If x/6 + 6 = 15, what is x? (a) 54 (b) 84 (c) 126 (d) 9
  13. 13.If 3x + 2 = 17, what is x? (a) 15 (b) 5 (c) 4 (d) 6
  14. 14.If 8x + 2 = 3x + 32, what is x? (a) 7 (b) 6 (c) 5 (d) 8
  15. 15.If 5x + 14 = 2x + 50, what is x? (a) 11 (b) 14 (c) 12 (d) 13
  16. 16.If x/2 + 2 = 4, what is x? (a) 6 (b) 12 (c) 4 (d) 2
  17. 17.If 4x + 5 = 3x + 13, what is x? (a) 9 (b) 8 (c) 18 (d) 10
  18. 18.If x/6 + 5 = 7, what is x? (a) 72 (b) 37 (c) 2 (d) 12
  19. 19.If 3x + 11 = 35, what is x? (a) 24 (b) 7 (c) 9 (d) 8
  20. 20.If 9x − 20 = 88, what is x? (a) 13 (b) 11 (c) 108 (d) 12
  21. 21.If 5x + 16 = 4x + 23, what is x? (a) 8 (b) 39 (c) 7 (d) 9
  22. 22.If 4x + 10 = 2x + 12, what is x? (a) 11 (b) 3 (c) 2 (d) 1
  23. 23.If 2x − 7 = 19, what is x? (a) 26 (b) 6 (c) 13 (d) 14
  24. 24.If 8x − 43 = 21, what is x? (a) 7 (b) 8 (c) 64 (d) 9
  25. 25.If 2x − 8 = 10, what is x? (a) 10 (b) 1 (c) 18 (d) 9
  26. 26.If 5x + 5 = x + 49, what is x? (a) 11 (b) 10 (c) 13 (d) 12
  27. 27.If 5x + 3 = x + 27, what is x? (a) 4 (b) 8 (c) 6 (d) 7
  28. 28.If 8x + 8 = 24, what is x? (a) 3 (b) 16 (c) 2 (d) 4
  29. 29.If 8x + 18 = 106, what is x? (a) 12 (b) 88 (c) 11 (d) 10
  30. 30.If 2x + 23 = 37, what is x? (a) 7 (b) 14 (c) 8 (d) 30
  31. 31.If 5x + 23 = 78, what is x? (a) 55 (b) 11 (c) 10 (d) 12
  32. 32.If 7x + 8 = 6x + 9, what is x? (a) 17 (b) 2 (c) 3 (d) 1
  33. 33.If 4x + 22 = 30, what is x? (a) 3 (b) 13 (c) 2 (d) 8
  34. 34.If 9x + 6 = x + 30, what is x? (a) 4 (b) 5 (c) 2 (d) 3
  35. 35.If x/5 + 7 = 13, what is x? (a) 100 (b) 58 (c) 6 (d) 30
  36. 36.If 7x + 21 = 35, what is x? (a) 8 (b) 3 (c) 2 (d) 14
  37. 37.If 7x − 36 = 27, what is x? (a) 9 (b) 63 (c) 10 (d) 8
  38. 38.If 7x + 8 = 99, what is x? (a) 91 (b) 14 (c) 12 (d) 13
  39. 39.If x/3 + 2 = 9, what is x? (a) 7 (b) 25 (c) 21 (d) 33
  40. 40.If 6x − 21 = 9, what is x? (a) 5 (b) 30 (c) 4 (d) 6

Answer key

  1. 33
  2. 3
  3. 9
  4. 8
  5. 14
  6. 12
  7. 72
  8. 11
  9. 15
  10. 12
  11. 4
  12. 54
  13. 5
  14. 6
  15. 12
  16. 4
  17. 8
  18. 12
  19. 8
  20. 12
  21. 7
  22. 1
  23. 13
  24. 8
  25. 9
  26. 11
  27. 6
  28. 2
  29. 11
  30. 7
  31. 11
  32. 1
  33. 2
  34. 3
  35. 30
  36. 2
  37. 9
  38. 13
  39. 21
  40. 5

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