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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 138 · 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 9x − 42 = 57, what is x? (a) 10 (b) 99 (c) 11 (d) 12
  2. 2.If x/6 + 11 = 14, what is x? (a) 73 (b) 3 (c) 18 (d) 150
  3. 3.If 7x − 19 = 9, what is x? (a) 28 (b) 5 (c) 4 (d) 3
  4. 4.If 2x + 24 = 36, what is x? (a) 30 (b) 7 (c) 6 (d) 12
  5. 5.If 6x + 3 = 4x + 9, what is x? (a) 5 (b) 3 (c) 6 (d) 4
  6. 6.If 7x + 1 = 4x + 7, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  7. 7.If 4x − 4 = 4, what is x? (a) 3 (b) 1 (c) 2 (d) 8
  8. 8.If x/2 + 1 = 3, what is x? (a) 4 (b) 8 (c) 2 (d) 5
  9. 9.If x/5 + 5 = 16, what is x? (a) 11 (b) 75 (c) 55 (d) 105
  10. 10.If 7x + 20 = 76, what is x? (a) 8 (b) 56 (c) 9 (d) 7
  11. 11.If 8x + 6 = 38, what is x? (a) 5 (b) 32 (c) 3 (d) 4
  12. 12.If 6x + 3 = x + 43, what is x? (a) 8 (b) 7 (c) 10 (d) 9
  13. 13.If x/2 + 2 = 8, what is x? (a) 14 (b) 6 (c) 20 (d) 12
  14. 14.If 5x + 24 = 39, what is x? (a) 4 (b) 2 (c) 15 (d) 3
  15. 15.If 3x + 29 = 44, what is x? (a) 6 (b) 5 (c) 15 (d) 4
  16. 16.If 4x − 19 = 29, what is x? (a) 12 (b) 13 (c) 11 (d) 48
  17. 17.If 6x + 22 = 94, what is x? (a) 72 (b) 13 (c) 12 (d) 11
  18. 18.If x/4 + 1 = 11, what is x? (a) 10 (b) 48 (c) 40 (d) 43
  19. 19.If 3x − 5 = 28, what is x? (a) 33 (b) 12 (c) 11 (d) 10
  20. 20.If x/4 + 1 = 12, what is x? (a) 44 (b) 52 (c) 11 (d) 47
  21. 21.If 2x − 9 = 9, what is x? (a) 8 (b) 18 (c) 9 (d) 10
  22. 22.If 7x + 19 = 4x + 28, what is x? (a) 4 (b) 5 (c) 3 (d) 2
  23. 23.If 5x + 20 = x + 56, what is x? (a) 10 (b) 9 (c) 6 (d) 19
  24. 24.If 4x + 18 = 2x + 26, what is x? (a) 5 (b) 6 (c) 4 (d) 22
  25. 25.If x/5 + 7 = 18, what is x? (a) 125 (b) 11 (c) 83 (d) 55
  26. 26.If x/4 + 5 = 16, what is x? (a) 11 (b) 59 (c) 44 (d) 84
  27. 27.If 7x − 29 = 13, what is x? (a) 7 (b) 5 (c) 42 (d) 6
  28. 28.If 8x + 14 = 5x + 41, what is x? (a) 11 (b) 8 (c) 9 (d) 10
  29. 29.If x/6 + 15 = 20, what is x? (a) 105 (b) 210 (c) 30 (d) 5
  30. 30.If 5x + 5 = 70, what is x? (a) 65 (b) 15 (c) 13 (d) 14
  31. 31.If 9x − 53 = 37, what is x? (a) 9 (b) 11 (c) 10 (d) 90
  32. 32.If 9x + 19 = 55, what is x? (a) 36 (b) 5 (c) 4 (d) 3
  33. 33.If 9x + 14 = 59, what is x? (a) 6 (b) 45 (c) 4 (d) 5
  34. 34.If 3x + 5 = 2x + 9, what is x? (a) 5 (b) 14 (c) 6 (d) 4
  35. 35.If 8x − 56 = 8, what is x? (a) 64 (b) 8 (c) 9 (d) 7
  36. 36.If 5x − 46 = 9, what is x? (a) 55 (b) 10 (c) 12 (d) 11
  37. 37.If 9x + 6 = 24, what is x? (a) 2 (b) 1 (c) 3 (d) 18
  38. 38.If 5x + 27 = 97, what is x? (a) 70 (b) 13 (c) 15 (d) 14
  39. 39.If 6x − 1 = 83, what is x? (a) 15 (b) 13 (c) 84 (d) 14
  40. 40.If x/2 + 10 = 16, what is x? (a) 22 (b) 52 (c) 6 (d) 12

Answer key

  1. 11
  2. 18
  3. 4
  4. 6
  5. 3
  6. 2
  7. 2
  8. 4
  9. 55
  10. 8
  11. 4
  12. 8
  13. 12
  14. 3
  15. 5
  16. 12
  17. 12
  18. 40
  19. 11
  20. 44
  21. 9
  22. 3
  23. 9
  24. 4
  25. 55
  26. 44
  27. 6
  28. 9
  29. 30
  30. 13
  31. 10
  32. 4
  33. 5
  34. 4
  35. 8
  36. 11
  37. 2
  38. 14
  39. 14
  40. 12

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