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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 36 · 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 3x + 25 = 31, what is x? (a) 6 (b) 1 (c) 2 (d) 3
  2. 2.If 4x + 15 = 2x + 37, what is x? (a) 11 (b) 12 (c) 26 (d) 13
  3. 3.If 8x − 15 = 41, what is x? (a) 7 (b) 8 (c) 56 (d) 6
  4. 4.If 6x + 16 = 3x + 40, what is x? (a) 7 (b) 9 (c) 10 (d) 8
  5. 5.If x/6 + 12 = 21, what is x? (a) 198 (b) 114 (c) 9 (d) 54
  6. 6.If 5x + 6 = 3x + 22, what is x? (a) 14 (b) 8 (c) 9 (d) 2
  7. 7.If x/2 + 3 = 12, what is x? (a) 9 (b) 18 (c) 30 (d) 21
  8. 8.If 8x + 11 = 7x + 13, what is x? (a) 4 (b) 2 (c) 3 (d) 24
  9. 9.If 5x − 11 = 4, what is x? (a) 3 (b) 4 (c) 2 (d) 15
  10. 10.If x/2 + 6 = 16, what is x? (a) 44 (b) 10 (c) 20 (d) 26
  11. 11.If 7x + 2 = 58, what is x? (a) 8 (b) 7 (c) 56 (d) 9
  12. 12.If 7x + 28 = 56, what is x? (a) 4 (b) 28 (c) 5 (d) 12
  13. 13.If 4x + 13 = 69, what is x? (a) 13 (b) 15 (c) 56 (d) 14
  14. 14.If 2x + 25 = 41, what is x? (a) 9 (b) 33 (c) 16 (d) 8
  15. 15.If 6x + 3 = 15, what is x? (a) 1 (b) 2 (c) 12 (d) 3
  16. 16.If x/2 + 12 = 19, what is x? (a) 14 (b) 26 (c) 7 (d) 62
  17. 17.If 4x − 13 = 19, what is x? (a) 7 (b) 9 (c) 8 (d) 32
  18. 18.If 7x + 1 = 64, what is x? (a) 8 (b) 63 (c) 9 (d) 10
  19. 19.If 9x − 11 = 7, what is x? (a) 1 (b) 2 (c) 18 (d) 3
  20. 20.If 9x + 4 = 112, what is x? (a) 12 (b) 11 (c) 13 (d) 108
  21. 21.If 4x − 22 = 30, what is x? (a) 2 (b) 13 (c) 52 (d) 14
  22. 22.If 2x − 2 = 2, what is x? (a) 1 (b) 2 (c) 4 (d) 3
  23. 23.If 3x + 7 = 2x + 8, what is x? (a) 15 (b) 2 (c) 3 (d) 1
  24. 24.If 2x − 18 = 6, what is x? (a) 11 (b) 24 (c) 13 (d) 12
  25. 25.If 9x + 26 = 152, what is x? (a) 126 (b) 15 (c) 13 (d) 14
  26. 26.If 4x + 18 = x + 36, what is x? (a) 18 (b) 7 (c) 8 (d) 6
  27. 27.If 3x + 17 = 56, what is x? (a) 12 (b) 13 (c) 39 (d) 14
  28. 28.If x/4 + 14 = 25, what is x? (a) 86 (b) 156 (c) 44 (d) 11
  29. 29.If 8x − 26 = 22, what is x? (a) 5 (b) 6 (c) 48 (d) 7
  30. 30.If x/6 + 15 = 24, what is x? (a) 129 (b) 9 (c) 54 (d) 234
  31. 31.If 7x + 4 = 32, what is x? (a) 3 (b) 5 (c) 28 (d) 4
  32. 32.If 8x + 13 = 7x + 19, what is x? (a) 6 (b) 32 (c) 8 (d) 7
  33. 33.If x/4 + 3 = 5, what is x? (a) 2 (b) 32 (c) 17 (d) 8
  34. 34.If 6x + 5 = x + 40, what is x? (a) 9 (b) 8 (c) 5 (d) 7
  35. 35.If 4x + 12 = 44, what is x? (a) 14 (b) 9 (c) 32 (d) 8
  36. 36.If 7x − 6 = 71, what is x? (a) 11 (b) 10 (c) 12 (d) 77
  37. 37.If 9x − 17 = 1, what is x? (a) 2 (b) 3 (c) 1 (d) 18
  38. 38.If 3x + 18 = 48, what is x? (a) 30 (b) 10 (c) 11 (d) 22
  39. 39.If 3x + 21 = 36, what is x? (a) 5 (b) 15 (c) 19 (d) 6
  40. 40.If 3x + 16 = 46, what is x? (a) 10 (b) 11 (c) 30 (d) 9

Answer key

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

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