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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 335 · 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 x/3 + 11 = 14, what is x? (a) 75 (b) 3 (c) 9 (d) 31
  2. 2.If 3x − 1 = 5, what is x? (a) 2 (b) 1 (c) 3 (d) 6
  3. 3.If 2x − 9 = 13, what is x? (a) 22 (b) 11 (c) 2 (d) 12
  4. 4.If 9x − 28 = 107, what is x? (a) 16 (b) 14 (c) 15 (d) 135
  5. 5.If 8x − 23 = 9, what is x? (a) 4 (b) 32 (c) 3 (d) 5
  6. 6.If 5x + 24 = 39, what is x? (a) 3 (b) 2 (c) 15 (d) 4
  7. 7.If 7x − 9 = 89, what is x? (a) 98 (b) 15 (c) 13 (d) 14
  8. 8.If 8x − 8 = 72, what is x? (a) 8 (b) 10 (c) 11 (d) 80
  9. 9.If x/3 + 7 = 10, what is x? (a) 3 (b) 23 (c) 9 (d) 51
  10. 10.If 2x + 16 = 36, what is x? (a) 20 (b) 11 (c) 26 (d) 10
  11. 11.If 5x + 2 = x + 18, what is x? (a) 6 (b) 3 (c) 5 (d) 4
  12. 12.If 3x − 21 = 3, what is x? (a) 9 (b) 7 (c) 24 (d) 8
  13. 13.If 3x + 20 = x + 36, what is x? (a) 4 (b) 28 (c) 9 (d) 8
  14. 14.If 4x + 7 = x + 43, what is x? (a) 13 (b) 14 (c) 12 (d) 11
  15. 15.If x/6 + 7 = 12, what is x? (a) 5 (b) 30 (c) 114 (d) 65
  16. 16.If 9x + 21 = 75, what is x? (a) 54 (b) 7 (c) 6 (d) 5
  17. 17.If 4x + 12 = 60, what is x? (a) 13 (b) 12 (c) 18 (d) 48
  18. 18.If 8x + 14 = 78, what is x? (a) 64 (b) 7 (c) 8 (d) 9
  19. 19.If x/6 + 1 = 11, what is x? (a) 10 (b) 65 (c) 60 (d) 72
  20. 20.If x/4 + 1 = 6, what is x? (a) 5 (b) 23 (c) 28 (d) 20
  21. 21.If x/3 + 4 = 15, what is x? (a) 41 (b) 57 (c) 11 (d) 33
  22. 22.If x/2 + 8 = 10, what is x? (a) 4 (b) 12 (c) 2 (d) 36
  23. 23.If 9x + 3 = 138, what is x? (a) 15 (b) 14 (c) 16 (d) 135
  24. 24.If 4x + 5 = x + 8, what is x? (a) 2 (b) 3 (c) 4 (d) 1
  25. 25.If 9x + 4 = x + 28, what is x? (a) 2 (b) 4 (c) 3 (d) 5
  26. 26.If 3x + 19 = x + 37, what is x? (a) 10 (b) 11 (c) 9 (d) 28
  27. 27.If 4x − 4 = 8, what is x? (a) 3 (b) 1 (c) 4 (d) 12
  28. 28.If x/4 + 15 = 19, what is x? (a) 61 (b) 136 (c) 4 (d) 16
  29. 29.If x/5 + 5 = 9, what is x? (a) 70 (b) 40 (c) 4 (d) 20
  30. 30.If 6x − 2 = 16, what is x? (a) 2 (b) 4 (c) 3 (d) 18
  31. 31.If x/2 + 8 = 14, what is x? (a) 12 (b) 44 (c) 20 (d) 6
  32. 32.If x/4 + 15 = 24, what is x? (a) 156 (b) 9 (c) 36 (d) 81
  33. 33.If x/2 + 15 = 24, what is x? (a) 78 (b) 9 (c) 18 (d) 33
  34. 34.If 2x + 23 = 27, what is x? (a) 25 (b) 4 (c) 2 (d) 3
  35. 35.If 9x + 22 = 76, what is x? (a) 54 (b) 5 (c) 7 (d) 6
  36. 36.If 3x + 13 = 2x + 20, what is x? (a) 33 (b) 9 (c) 7 (d) 8
  37. 37.If 4x + 16 = 76, what is x? (a) 15 (b) 16 (c) 23 (d) 60
  38. 38.If x/2 + 5 = 8, what is x? (a) 6 (b) 11 (c) 26 (d) 3
  39. 39.If 4x − 5 = 23, what is x? (a) 28 (b) 8 (c) 6 (d) 7
  40. 40.If 7x + 14 = 5x + 38, what is x? (a) 12 (b) 2 (c) 26 (d) 13

Answer key

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

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