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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 615 · 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 + 18 = 5x + 22, what is x? (a) 4 (b) 20 (c) 3 (d) 2
  2. 2.If 3x + 16 = x + 18, what is x? (a) 2 (b) 1 (c) 3 (d) 17
  3. 3.If 3x + 1 = 34, what is x? (a) 12 (b) 33 (c) 10 (d) 11
  4. 4.If 4x + 16 = 60, what is x? (a) 11 (b) 19 (c) 12 (d) 44
  5. 5.If 7x + 8 = 6x + 18, what is x? (a) 12 (b) 26 (c) 11 (d) 10
  6. 6.If 2x − 5 = 5, what is x? (a) 10 (b) 4 (c) 6 (d) 5
  7. 7.If 9x − 35 = 82, what is x? (a) 12 (b) 117 (c) 14 (d) 13
  8. 8.If 4x + 12 = 2x + 30, what is x? (a) 10 (b) 3 (c) 21 (d) 9
  9. 9.If 4x + 4 = x + 34, what is x? (a) 12 (b) 10 (c) 6 (d) 11
  10. 10.If 9x + 27 = 126, what is x? (a) 17 (b) 99 (c) 11 (d) 12
  11. 11.If 4x + 3 = 63, what is x? (a) 14 (b) 16 (c) 60 (d) 15
  12. 12.If 8x + 17 = 2x + 29, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  13. 13.If x/5 + 2 = 11, what is x? (a) 9 (b) 65 (c) 45 (d) 53
  14. 14.If x/5 + 9 = 20, what is x? (a) 11 (b) 55 (c) 91 (d) 145
  15. 15.If 8x + 10 = 74, what is x? (a) 64 (b) 8 (c) 7 (d) 9
  16. 16.If x/4 + 3 = 11, what is x? (a) 56 (b) 8 (c) 41 (d) 32
  17. 17.If x/3 + 15 = 22, what is x? (a) 111 (b) 7 (c) 51 (d) 21
  18. 18.If 6x − 42 = 6, what is x? (a) 8 (b) 48 (c) 9 (d) 7
  19. 19.If 4x − 6 = 2, what is x? (a) 3 (b) 1 (c) 2 (d) 8
  20. 20.If 2x − 5 = 25, what is x? (a) 10 (b) 15 (c) 16 (d) 30
  21. 21.If 3x + 2 = x + 10, what is x? (a) 2 (b) 4 (c) 6 (d) 5
  22. 22.If 5x − 2 = 33, what is x? (a) 8 (b) 7 (c) 6 (d) 35
  23. 23.If 3x − 20 = 16, what is x? (a) 13 (b) 36 (c) 11 (d) 12
  24. 24.If 4x − 43 = 1, what is x? (a) 10 (b) 12 (c) 44 (d) 11
  25. 25.If 3x + 5 = 2x + 11, what is x? (a) 7 (b) 8 (c) 16 (d) 6
  26. 26.If 8x − 43 = 21, what is x? (a) 8 (b) 64 (c) 9 (d) 7
  27. 27.If 6x + 10 = 5x + 11, what is x? (a) 21 (b) 1 (c) 2 (d) 3
  28. 28.If 6x + 3 = 4x + 7, what is x? (a) 5 (b) 4 (c) 3 (d) 2
  29. 29.If 5x − 12 = 38, what is x? (a) 9 (b) 10 (c) 50 (d) 11
  30. 30.If 6x + 9 = 75, what is x? (a) 12 (b) 14 (c) 11 (d) 66
  31. 31.If 9x + 6 = 2x + 90, what is x? (a) 14 (b) 11 (c) 12 (d) 13
  32. 32.If 5x + 14 = 3x + 32, what is x? (a) 23 (b) 10 (c) 11 (d) 9
  33. 33.If 3x − 5 = 1, what is x? (a) 2 (b) 6 (c) 1 (d) 3
  34. 34.If x/2 + 9 = 13, what is x? (a) 4 (b) 44 (c) 17 (d) 8
  35. 35.If 5x + 17 = 2x + 35, what is x? (a) 6 (b) 8 (c) 5 (d) 7
  36. 36.If 2x − 22 = 4, what is x? (a) 12 (b) 14 (c) 13 (d) 26
  37. 37.If 7x + 6 = 3x + 10, what is x? (a) 4 (b) 1 (c) 3 (d) 2
  38. 38.If 6x − 15 = 9, what is x? (a) 4 (b) 24 (c) 3 (d) 5
  39. 39.If 5x − 49 = 26, what is x? (a) 14 (b) 16 (c) 15 (d) 75
  40. 40.If 2x − 19 = 5, what is x? (a) 12 (b) 24 (c) 11 (d) 13

Answer key

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

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