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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 159 · 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 5x + 26 = 76, what is x? (a) 10 (b) 9 (c) 50 (d) 11
  2. 2.If 4x + 20 = 76, what is x? (a) 24 (b) 56 (c) 15 (d) 14
  3. 3.If 9x − 26 = 109, what is x? (a) 16 (b) 14 (c) 15 (d) 135
  4. 4.If x/5 + 12 = 17, what is x? (a) 25 (b) 73 (c) 145 (d) 5
  5. 5.If 5x + 11 = 86, what is x? (a) 16 (b) 75 (c) 14 (d) 15
  6. 6.If 3x + 20 = x + 38, what is x? (a) 11 (b) 10 (c) 29 (d) 9
  7. 7.If 2x + 5 = 25, what is x? (a) 20 (b) 15 (c) 10 (d) 11
  8. 8.If 2x + 21 = 31, what is x? (a) 26 (b) 6 (c) 5 (d) 10
  9. 9.If 4x + 15 = 2x + 27, what is x? (a) 2 (b) 21 (c) 6 (d) 7
  10. 10.If 2x + 9 = 19, what is x? (a) 10 (b) 14 (c) 5 (d) 6
  11. 11.If x/3 + 1 = 10, what is x? (a) 29 (b) 9 (c) 27 (d) 33
  12. 12.If 3x + 19 = 49, what is x? (a) 30 (b) 11 (c) 10 (d) 9
  13. 13.If x/2 + 14 = 19, what is x? (a) 5 (b) 24 (c) 66 (d) 10
  14. 14.If x/4 + 12 = 15, what is x? (a) 48 (b) 12 (c) 3 (d) 108
  15. 15.If 7x + 1 = 6x + 6, what is x? (a) 4 (b) 6 (c) 5 (d) 7
  16. 16.If 9x + 1 = 3x + 19, what is x? (a) 3 (b) 5 (c) 2 (d) 4
  17. 17.If 2x + 21 = 43, what is x? (a) 32 (b) 12 (c) 22 (d) 11
  18. 18.If 6x + 23 = 53, what is x? (a) 4 (b) 5 (c) 30 (d) 6
  19. 19.If 5x − 38 = 32, what is x? (a) 70 (b) 14 (c) 15 (d) 13
  20. 20.If 7x − 6 = 8, what is x? (a) 2 (b) 14 (c) 1 (d) 3
  21. 21.If 7x − 33 = 23, what is x? (a) 7 (b) 8 (c) 9 (d) 56
  22. 22.If 3x + 9 = x + 23, what is x? (a) 16 (b) 9 (c) 8 (d) 7
  23. 23.If 2x + 25 = 53, what is x? (a) 15 (b) 39 (c) 28 (d) 14
  24. 24.If x/3 + 4 = 6, what is x? (a) 30 (b) 6 (c) 2 (d) 14
  25. 25.If x/6 + 1 = 10, what is x? (a) 66 (b) 54 (c) 59 (d) 9
  26. 26.If x/3 + 1 = 12, what is x? (a) 33 (b) 11 (c) 35 (d) 39
  27. 27.If 9x + 26 = 53, what is x? (a) 27 (b) 4 (c) 2 (d) 3
  28. 28.If 4x + 6 = 3x + 10, what is x? (a) 4 (b) 5 (c) 16 (d) 6
  29. 29.If x/3 + 2 = 10, what is x? (a) 24 (b) 36 (c) 8 (d) 28
  30. 30.If 8x + 4 = 44, what is x? (a) 6 (b) 40 (c) 4 (d) 5
  31. 31.If 9x + 23 = 104, what is x? (a) 81 (b) 9 (c) 8 (d) 10
  32. 32.If x/2 + 12 = 14, what is x? (a) 52 (b) 16 (c) 4 (d) 2
  33. 33.If x/4 + 7 = 14, what is x? (a) 28 (b) 84 (c) 7 (d) 49
  34. 34.If x/4 + 13 = 24, what is x? (a) 11 (b) 44 (c) 148 (d) 83
  35. 35.If 3x + 6 = 48, what is x? (a) 18 (b) 42 (c) 15 (d) 14
  36. 36.If x/2 + 4 = 8, what is x? (a) 4 (b) 12 (c) 24 (d) 8
  37. 37.If 4x + 27 = 83, what is x? (a) 13 (b) 15 (c) 56 (d) 14
  38. 38.If 8x − 52 = 36, what is x? (a) 10 (b) 12 (c) 88 (d) 11
  39. 39.If 8x − 26 = 94, what is x? (a) 16 (b) 15 (c) 14 (d) 120
  40. 40.If x/3 + 7 = 9, what is x? (a) 48 (b) 6 (c) 20 (d) 2

Answer key

  1. 10
  2. 14
  3. 15
  4. 25
  5. 15
  6. 9
  7. 10
  8. 5
  9. 6
  10. 5
  11. 27
  12. 10
  13. 10
  14. 12
  15. 5
  16. 3
  17. 11
  18. 5
  19. 14
  20. 2
  21. 8
  22. 7
  23. 14
  24. 6
  25. 54
  26. 33
  27. 3
  28. 4
  29. 24
  30. 5
  31. 9
  32. 4
  33. 28
  34. 44
  35. 14
  36. 8
  37. 14
  38. 11
  39. 15
  40. 6

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