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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 610 · 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 7x − 11 = 10, what is x? (a) 3 (b) 21 (c) 2 (d) 4
  2. 2.If 6x + 12 = 5x + 19, what is x? (a) 9 (b) 8 (c) 7 (d) 31
  3. 3.If 5x + 3 = 73, what is x? (a) 15 (b) 70 (c) 13 (d) 14
  4. 4.If 7x − 2 = 19, what is x? (a) 3 (b) 2 (c) 21 (d) 4
  5. 5.If 8x + 3 = 27, what is x? (a) 4 (b) 24 (c) 2 (d) 3
  6. 6.If 6x − 6 = 66, what is x? (a) 12 (b) 72 (c) 10 (d) 13
  7. 7.If 7x + 9 = 5x + 15, what is x? (a) 5 (b) 3 (c) 4 (d) 12
  8. 8.If 6x + 7 = 19, what is x? (a) 1 (b) 3 (c) 12 (d) 2
  9. 9.If 3x + 8 = 44, what is x? (a) 13 (b) 12 (c) 36 (d) 11
  10. 10.If 9x − 53 = 1, what is x? (a) 6 (b) 54 (c) 7 (d) 5
  11. 11.If 7x + 6 = 55, what is x? (a) 7 (b) 8 (c) 49 (d) 6
  12. 12.If x/5 + 13 = 24, what is x? (a) 11 (b) 107 (c) 185 (d) 55
  13. 13.If x/2 + 14 = 24, what is x? (a) 76 (b) 10 (c) 20 (d) 34
  14. 14.If 8x + 25 = 121, what is x? (a) 96 (b) 13 (c) 12 (d) 11
  15. 15.If 5x − 14 = 26, what is x? (a) 40 (b) 8 (c) 9 (d) 7
  16. 16.If x/3 + 1 = 11, what is x? (a) 32 (b) 36 (c) 30 (d) 10
  17. 17.If 6x + 12 = 5x + 14, what is x? (a) 4 (b) 3 (c) 26 (d) 2
  18. 18.If x/3 + 4 = 15, what is x? (a) 57 (b) 41 (c) 11 (d) 33
  19. 19.If 5x + 20 = 2x + 47, what is x? (a) 10 (b) 11 (c) 8 (d) 9
  20. 20.If 8x − 13 = 59, what is x? (a) 10 (b) 72 (c) 8 (d) 9
  21. 21.If x/5 + 10 = 15, what is x? (a) 65 (b) 125 (c) 5 (d) 25
  22. 22.If 7x + 1 = x + 13, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  23. 23.If 5x + 13 = 63, what is x? (a) 10 (b) 11 (c) 50 (d) 9
  24. 24.If 4x + 21 = 57, what is x? (a) 36 (b) 8 (c) 9 (d) 10
  25. 25.If 9x − 16 = 11, what is x? (a) 2 (b) 3 (c) 4 (d) 27
  26. 26.If x/3 + 2 = 7, what is x? (a) 15 (b) 27 (c) 5 (d) 19
  27. 27.If 9x − 127 = 8, what is x? (a) 16 (b) 15 (c) 14 (d) 135
  28. 28.If x/5 + 2 = 11, what is x? (a) 9 (b) 53 (c) 65 (d) 45
  29. 29.If 8x − 11 = 61, what is x? (a) 9 (b) 8 (c) 72 (d) 10
  30. 30.If 9x + 5 = 86, what is x? (a) 9 (b) 8 (c) 10 (d) 81
  31. 31.If 3x + 3 = 30, what is x? (a) 27 (b) 11 (c) 10 (d) 9
  32. 32.If 3x + 18 = x + 36, what is x? (a) 10 (b) 27 (c) 11 (d) 9
  33. 33.If 8x + 20 = 6x + 34, what is x? (a) 7 (b) 27 (c) 1 (d) 8
  34. 34.If 7x + 3 = x + 15, what is x? (a) 3 (b) 1 (c) 4 (d) 2
  35. 35.If x/5 + 3 = 12, what is x? (a) 75 (b) 45 (c) 57 (d) 9
  36. 36.If 8x + 11 = 83, what is x? (a) 8 (b) 9 (c) 10 (d) 72
  37. 37.If 6x − 33 = 21, what is x? (a) 9 (b) 10 (c) 54 (d) 8
  38. 38.If x/6 + 9 = 14, what is x? (a) 75 (b) 5 (c) 30 (d) 138
  39. 39.If 3x − 5 = 4, what is x? (a) 3 (b) 4 (c) 9 (d) 2
  40. 40.If 6x − 48 = 30, what is x? (a) 12 (b) 13 (c) 78 (d) 14

Answer key

  1. 3
  2. 7
  3. 14
  4. 3
  5. 3
  6. 12
  7. 3
  8. 2
  9. 12
  10. 6
  11. 7
  12. 55
  13. 20
  14. 12
  15. 8
  16. 30
  17. 2
  18. 33
  19. 9
  20. 9
  21. 25
  22. 2
  23. 10
  24. 9
  25. 3
  26. 15
  27. 15
  28. 45
  29. 9
  30. 9
  31. 9
  32. 9
  33. 7
  34. 2
  35. 45
  36. 9
  37. 9
  38. 30
  39. 3
  40. 13

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