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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 309 · 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 + 10 = 40, what is x? (a) 30 (b) 10 (c) 7 (d) 6
  2. 2.If x/2 + 12 = 17, what is x? (a) 22 (b) 10 (c) 58 (d) 5
  3. 3.If 2x + 13 = 29, what is x? (a) 21 (b) 9 (c) 16 (d) 8
  4. 4.If 6x + 30 = 108, what is x? (a) 14 (b) 78 (c) 23 (d) 13
  5. 5.If x/6 + 11 = 19, what is x? (a) 103 (b) 180 (c) 48 (d) 8
  6. 6.If 3x + 6 = 2x + 7, what is x? (a) 2 (b) 3 (c) 13 (d) 1
  7. 7.If 5x + 3 = 53, what is x? (a) 11 (b) 9 (c) 50 (d) 10
  8. 8.If 5x + 7 = 32, what is x? (a) 5 (b) 4 (c) 25 (d) 6
  9. 9.If 9x − 107 = 1, what is x? (a) 13 (b) 12 (c) 11 (d) 108
  10. 10.If 3x + 12 = x + 30, what is x? (a) 9 (b) 21 (c) 10 (d) 11
  11. 11.If 4x + 20 = 68, what is x? (a) 12 (b) 13 (c) 22 (d) 48
  12. 12.If 3x + 29 = 68, what is x? (a) 13 (b) 14 (c) 39 (d) 12
  13. 13.If 7x − 7 = 63, what is x? (a) 10 (b) 70 (c) 8 (d) 11
  14. 14.If 4x + 19 = 63, what is x? (a) 10 (b) 11 (c) 12 (d) 44
  15. 15.If 8x + 15 = x + 85, what is x? (a) 9 (b) 11 (c) 10 (d) 12
  16. 16.If 3x + 7 = 19, what is x? (a) 12 (b) 3 (c) 5 (d) 4
  17. 17.If 2x + 21 = 25, what is x? (a) 23 (b) 4 (c) 3 (d) 2
  18. 18.If 7x − 18 = 31, what is x? (a) 49 (b) 6 (c) 7 (d) 8
  19. 19.If x/3 + 15 = 21, what is x? (a) 108 (b) 18 (c) 48 (d) 6
  20. 20.If x/2 + 14 = 17, what is x? (a) 20 (b) 62 (c) 3 (d) 6
  21. 21.If 6x − 12 = 12, what is x? (a) 3 (b) 4 (c) 24 (d) 5
  22. 22.If 6x + 2 = x + 22, what is x? (a) 4 (b) 5 (c) 3 (d) 6
  23. 23.If 6x − 15 = 39, what is x? (a) 54 (b) 9 (c) 10 (d) 4
  24. 24.If 2x − 9 = 21, what is x? (a) 15 (b) 30 (c) 6 (d) 16
  25. 25.If 2x − 3 = 9, what is x? (a) 12 (b) 7 (c) 6 (d) 3
  26. 26.If x/2 + 7 = 13, what is x? (a) 19 (b) 40 (c) 12 (d) 6
  27. 27.If 3x − 7 = 2, what is x? (a) 9 (b) 2 (c) 3 (d) 4
  28. 28.If x/2 + 7 = 10, what is x? (a) 13 (b) 3 (c) 34 (d) 6
  29. 29.If x/6 + 12 = 14, what is x? (a) 12 (b) 2 (c) 72 (d) 156
  30. 30.If 3x + 17 = 2x + 20, what is x? (a) 37 (b) 5 (c) 4 (d) 3
  31. 31.If 7x − 25 = 17, what is x? (a) 7 (b) 5 (c) 42 (d) 6
  32. 32.If 8x + 10 = 2x + 28, what is x? (a) 4 (b) 3 (c) 2 (d) 5
  33. 33.If 5x − 13 = 62, what is x? (a) 75 (b) 14 (c) 16 (d) 15
  34. 34.If 7x + 18 = 3x + 62, what is x? (a) 11 (b) 20 (c) 12 (d) 13
  35. 35.If 5x + 2 = 4x + 14, what is x? (a) 14 (b) 12 (c) 13 (d) 16
  36. 36.If 6x + 23 = 59, what is x? (a) 7 (b) 5 (c) 6 (d) 36
  37. 37.If 5x − 5 = 30, what is x? (a) 35 (b) 8 (c) 7 (d) 5
  38. 38.If 5x − 4 = 11, what is x? (a) 15 (b) 2 (c) 4 (d) 3
  39. 39.If x/2 + 14 = 21, what is x? (a) 28 (b) 7 (c) 14 (d) 70
  40. 40.If 8x − 2 = 62, what is x? (a) 64 (b) 8 (c) 9 (d) 7

Answer key

  1. 6
  2. 10
  3. 8
  4. 13
  5. 48
  6. 1
  7. 10
  8. 5
  9. 12
  10. 9
  11. 12
  12. 13
  13. 10
  14. 11
  15. 10
  16. 4
  17. 2
  18. 7
  19. 18
  20. 6
  21. 4
  22. 4
  23. 9
  24. 15
  25. 6
  26. 12
  27. 3
  28. 6
  29. 12
  30. 3
  31. 6
  32. 3
  33. 15
  34. 11
  35. 12
  36. 6
  37. 7
  38. 3
  39. 14
  40. 8

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