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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 680 · 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 4x + 19 = 39, what is x? (a) 6 (b) 5 (c) 20 (d) 4
  2. 2.If 8x + 20 = 124, what is x? (a) 104 (b) 18 (c) 13 (d) 14
  3. 3.If x/5 + 14 = 25, what is x? (a) 11 (b) 111 (c) 195 (d) 55
  4. 4.If 9x − 32 = 49, what is x? (a) 8 (b) 81 (c) 9 (d) 10
  5. 5.If 7x + 6 = 3x + 18, what is x? (a) 4 (b) 6 (c) 3 (d) 5
  6. 6.If x/2 + 6 = 10, what is x? (a) 8 (b) 32 (c) 4 (d) 14
  7. 7.If 7x + 7 = 5x + 21, what is x? (a) 8 (b) 14 (c) 7 (d) 9
  8. 8.If x/6 + 5 = 16, what is x? (a) 91 (b) 11 (c) 66 (d) 126
  9. 9.If 4x + 28 = 80, what is x? (a) 27 (b) 52 (c) 14 (d) 13
  10. 10.If 8x + 6 = 3x + 61, what is x? (a) 13 (b) 11 (c) 12 (d) 5
  11. 11.If x/2 + 9 = 19, what is x? (a) 10 (b) 56 (c) 29 (d) 20
  12. 12.If x/3 + 9 = 15, what is x? (a) 6 (b) 18 (c) 72 (d) 36
  13. 13.If 4x + 20 = 48, what is x? (a) 8 (b) 7 (c) 17 (d) 28
  14. 14.If x/6 + 2 = 7, what is x? (a) 5 (b) 54 (c) 40 (d) 30
  15. 15.If x/3 + 6 = 12, what is x? (a) 6 (b) 30 (c) 54 (d) 18
  16. 16.If x/6 + 10 = 20, what is x? (a) 60 (b) 10 (c) 180 (d) 110
  17. 17.If 3x + 15 = 2x + 19, what is x? (a) 34 (b) 5 (c) 6 (d) 4
  18. 18.If 4x − 43 = 5, what is x? (a) 48 (b) 13 (c) 12 (d) 11
  19. 19.If x/4 + 6 = 9, what is x? (a) 30 (b) 12 (c) 3 (d) 60
  20. 20.If 3x + 23 = 47, what is x? (a) 8 (b) 24 (c) 9 (d) 7
  21. 21.If 2x + 15 = 23, what is x? (a) 19 (b) 4 (c) 5 (d) 8
  22. 22.If 3x − 5 = 7, what is x? (a) 4 (b) 3 (c) 12 (d) 5
  23. 23.If 2x + 29 = 59, what is x? (a) 44 (b) 15 (c) 30 (d) 16
  24. 24.If 9x − 25 = 11, what is x? (a) 36 (b) 3 (c) 4 (d) 5
  25. 25.If x/6 + 15 = 20, what is x? (a) 30 (b) 105 (c) 210 (d) 5
  26. 26.If 3x + 2 = 14, what is x? (a) 12 (b) 4 (c) 5 (d) 3
  27. 27.If 2x + 19 = 27, what is x? (a) 8 (b) 5 (c) 4 (d) 23
  28. 28.If 3x + 26 = 71, what is x? (a) 15 (b) 14 (c) 45 (d) 16
  29. 29.If x/2 + 6 = 16, what is x? (a) 44 (b) 10 (c) 20 (d) 26
  30. 30.If 8x − 111 = 9, what is x? (a) 120 (b) 14 (c) 15 (d) 16
  31. 31.If 4x − 7 = 37, what is x? (a) 44 (b) 10 (c) 11 (d) 12
  32. 32.If x/3 + 2 = 5, what is x? (a) 9 (b) 21 (c) 13 (d) 3
  33. 33.If 3x + 9 = x + 33, what is x? (a) 6 (b) 12 (c) 21 (d) 13
  34. 34.If 9x + 8 = 98, what is x? (a) 90 (b) 11 (c) 10 (d) 9
  35. 35.If x/3 + 7 = 14, what is x? (a) 35 (b) 7 (c) 63 (d) 21
  36. 36.If 9x + 11 = x + 51, what is x? (a) 4 (b) 5 (c) 7 (d) 6
  37. 37.If 3x + 19 = x + 43, what is x? (a) 31 (b) 6 (c) 13 (d) 12
  38. 38.If x/5 + 9 = 17, what is x? (a) 76 (b) 130 (c) 8 (d) 40
  39. 39.If 5x − 31 = 9, what is x? (a) 7 (b) 8 (c) 40 (d) 9
  40. 40.If x/2 + 5 = 13, what is x? (a) 36 (b) 8 (c) 21 (d) 16

Answer key

  1. 5
  2. 13
  3. 55
  4. 9
  5. 3
  6. 8
  7. 7
  8. 66
  9. 13
  10. 11
  11. 20
  12. 18
  13. 7
  14. 30
  15. 18
  16. 60
  17. 4
  18. 12
  19. 12
  20. 8
  21. 4
  22. 4
  23. 15
  24. 4
  25. 30
  26. 4
  27. 4
  28. 15
  29. 20
  30. 15
  31. 11
  32. 9
  33. 12
  34. 10
  35. 21
  36. 5
  37. 12
  38. 40
  39. 8
  40. 16

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