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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 370 · 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 + 4 = 112, what is x? (a) 13 (b) 108 (c) 11 (d) 12
  2. 2.If 7x + 9 = 5x + 29, what is x? (a) 19 (b) 10 (c) 11 (d) 12
  3. 3.If x/6 + 11 = 15, what is x? (a) 79 (b) 4 (c) 24 (d) 156
  4. 4.If 7x + 1 = 106, what is x? (a) 16 (b) 105 (c) 14 (d) 15
  5. 5.If x/3 + 7 = 12, what is x? (a) 29 (b) 15 (c) 57 (d) 5
  6. 6.If 6x − 43 = 41, what is x? (a) 14 (b) 13 (c) 84 (d) 15
  7. 7.If 3x + 12 = 2x + 17, what is x? (a) 1 (b) 29 (c) 6 (d) 5
  8. 8.If 6x − 49 = 35, what is x? (a) 84 (b) 14 (c) 13 (d) 15
  9. 9.If x/3 + 6 = 12, what is x? (a) 6 (b) 18 (c) 30 (d) 54
  10. 10.If 3x − 6 = 9, what is x? (a) 6 (b) 1 (c) 15 (d) 5
  11. 11.If 2x − 15 = 7, what is x? (a) 10 (b) 22 (c) 12 (d) 11
  12. 12.If 8x + 5 = 7x + 13, what is x? (a) 10 (b) 18 (c) 8 (d) 9
  13. 13.If 4x + 19 = 2x + 27, what is x? (a) 23 (b) 4 (c) 6 (d) 5
  14. 14.If 5x − 2 = 23, what is x? (a) 5 (b) 4 (c) 25 (d) 6
  15. 15.If 4x + 18 = x + 48, what is x? (a) 11 (b) 10 (c) 6 (d) 22
  16. 16.If 8x − 12 = 4, what is x? (a) 3 (b) 1 (c) 16 (d) 2
  17. 17.If 7x + 3 = 5x + 17, what is x? (a) 10 (b) 9 (c) 8 (d) 7
  18. 18.If x/6 + 9 = 20, what is x? (a) 174 (b) 11 (c) 66 (d) 111
  19. 19.If 3x + 12 = x + 16, what is x? (a) 14 (b) 2 (c) 3 (d) 1
  20. 20.If 8x − 16 = 40, what is x? (a) 3 (b) 8 (c) 7 (d) 56
  21. 21.If 3x + 18 = 2x + 29, what is x? (a) 11 (b) 13 (c) 47 (d) 12
  22. 22.If 9x + 24 = 51, what is x? (a) 4 (b) 3 (c) 2 (d) 27
  23. 23.If 4x − 14 = 26, what is x? (a) 10 (b) 3 (c) 11 (d) 40
  24. 24.If x/2 + 10 = 13, what is x? (a) 3 (b) 46 (c) 16 (d) 6
  25. 25.If 2x − 2 = 4, what is x? (a) 6 (b) 3 (c) 4 (d) 1
  26. 26.If 9x + 16 = 43, what is x? (a) 27 (b) 4 (c) 3 (d) 2
  27. 27.If 3x + 11 = 32, what is x? (a) 21 (b) 6 (c) 7 (d) 8
  28. 28.If 4x + 20 = 2x + 24, what is x? (a) 2 (b) 4 (c) 3 (d) 22
  29. 29.If 6x + 4 = 4x + 20, what is x? (a) 10 (b) 8 (c) 9 (d) 12
  30. 30.If 7x − 14 = 7, what is x? (a) 2 (b) 21 (c) 4 (d) 3
  31. 31.If 8x + 13 = 93, what is x? (a) 11 (b) 9 (c) 80 (d) 10
  32. 32.If 3x + 16 = 46, what is x? (a) 9 (b) 11 (c) 30 (d) 10
  33. 33.If x/5 + 11 = 18, what is x? (a) 7 (b) 35 (c) 145 (d) 79
  34. 34.If x/4 + 13 = 21, what is x? (a) 32 (b) 8 (c) 136 (d) 71
  35. 35.If 6x + 27 = 45, what is x? (a) 3 (b) 18 (c) 4 (d) 12
  36. 36.If 2x − 7 = 17, what is x? (a) 13 (b) 5 (c) 24 (d) 12
  37. 37.If x/4 + 11 = 14, what is x? (a) 100 (b) 45 (c) 3 (d) 12
  38. 38.If 2x − 5 = 3, what is x? (a) 5 (b) 8 (c) 3 (d) 4
  39. 39.If 7x + 5 = 103, what is x? (a) 98 (b) 15 (c) 14 (d) 13
  40. 40.If 2x + 30 = 60, what is x? (a) 30 (b) 45 (c) 15 (d) 16

Answer key

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

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