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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 87 · 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 + 7 = 95, what is x? (a) 88 (b) 10 (c) 11 (d) 12
  2. 2.If x/3 + 15 = 20, what is x? (a) 15 (b) 45 (c) 105 (d) 5
  3. 3.If x/3 + 10 = 13, what is x? (a) 29 (b) 69 (c) 9 (d) 3
  4. 4.If 9x + 15 = 42, what is x? (a) 4 (b) 27 (c) 3 (d) 2
  5. 5.If 5x − 1 = 44, what is x? (a) 9 (b) 8 (c) 45 (d) 10
  6. 6.If x/2 + 4 = 15, what is x? (a) 26 (b) 22 (c) 11 (d) 38
  7. 7.If x/2 + 1 = 12, what is x? (a) 11 (b) 26 (c) 23 (d) 22
  8. 8.If 5x − 4 = 26, what is x? (a) 30 (b) 5 (c) 6 (d) 7
  9. 9.If 4x + 6 = 3x + 10, what is x? (a) 5 (b) 16 (c) 6 (d) 4
  10. 10.If x/4 + 2 = 5, what is x? (a) 18 (b) 28 (c) 12 (d) 3
  11. 11.If 2x − 1 = 7, what is x? (a) 5 (b) 3 (c) 8 (d) 4
  12. 12.If 9x + 12 = 3x + 18, what is x? (a) 1 (b) 3 (c) 5 (d) 2
  13. 13.If 2x − 6 = 14, what is x? (a) 4 (b) 10 (c) 11 (d) 20
  14. 14.If 2x + 23 = 41, what is x? (a) 9 (b) 10 (c) 18 (d) 32
  15. 15.If x/2 + 4 = 7, what is x? (a) 3 (b) 22 (c) 10 (d) 6
  16. 16.If 8x + 23 = 103, what is x? (a) 9 (b) 10 (c) 80 (d) 11
  17. 17.If 7x + 10 = 5x + 24, what is x? (a) 9 (b) 17 (c) 8 (d) 7
  18. 18.If x/5 + 3 = 7, what is x? (a) 4 (b) 20 (c) 50 (d) 32
  19. 19.If x/5 + 4 = 11, what is x? (a) 7 (b) 35 (c) 75 (d) 51
  20. 20.If 4x + 13 = 3x + 19, what is x? (a) 6 (b) 7 (c) 32 (d) 8
  21. 21.If 9x + 30 = 84, what is x? (a) 5 (b) 7 (c) 54 (d) 6
  22. 22.If x/3 + 9 = 15, what is x? (a) 6 (b) 18 (c) 36 (d) 72
  23. 23.If 4x + 24 = 60, what is x? (a) 10 (b) 21 (c) 9 (d) 36
  24. 24.If 9x − 1 = 17, what is x? (a) 1 (b) 18 (c) 2 (d) 3
  25. 25.If 6x + 6 = 3x + 30, what is x? (a) 12 (b) 10 (c) 9 (d) 8
  26. 26.If 4x − 17 = 11, what is x? (a) 7 (b) 28 (c) 8 (d) 6
  27. 27.If 4x − 2 = 14, what is x? (a) 3 (b) 5 (c) 16 (d) 4
  28. 28.If 2x + 3 = 25, what is x? (a) 11 (b) 12 (c) 22 (d) 14
  29. 29.If x/5 + 6 = 9, what is x? (a) 75 (b) 3 (c) 39 (d) 15
  30. 30.If 8x + 18 = 6x + 38, what is x? (a) 11 (b) 10 (c) 28 (d) 12
  31. 31.If 8x − 18 = 30, what is x? (a) 7 (b) 5 (c) 6 (d) 48
  32. 32.If x/5 + 6 = 18, what is x? (a) 60 (b) 12 (c) 120 (d) 84
  33. 33.If x/6 + 3 = 9, what is x? (a) 51 (b) 6 (c) 36 (d) 72
  34. 34.If 7x + 21 = 112, what is x? (a) 14 (b) 19 (c) 91 (d) 13
  35. 35.If 9x + 13 = 139, what is x? (a) 126 (b) 15 (c) 14 (d) 13
  36. 36.If x/2 + 9 = 11, what is x? (a) 40 (b) 4 (c) 13 (d) 2
  37. 37.If 9x + 29 = 65, what is x? (a) 4 (b) 3 (c) 36 (d) 5
  38. 38.If 3x + 10 = 22, what is x? (a) 12 (b) 5 (c) 4 (d) 3
  39. 39.If 9x + 19 = 55, what is x? (a) 4 (b) 36 (c) 3 (d) 5
  40. 40.If 3x + 18 = x + 40, what is x? (a) 11 (b) 12 (c) 13 (d) 29

Answer key

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

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