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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 597 · 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 + 18 = 2x + 30, what is x? (a) 6 (b) 16 (c) 4 (d) 5
  2. 2.If 4x − 9 = 23, what is x? (a) 9 (b) 8 (c) 7 (d) 32
  3. 3.If 3x − 25 = 14, what is x? (a) 14 (b) 13 (c) 12 (d) 39
  4. 4.If 3x − 5 = 40, what is x? (a) 14 (b) 45 (c) 16 (d) 15
  5. 5.If 8x + 7 = 71, what is x? (a) 64 (b) 7 (c) 9 (d) 8
  6. 6.If 4x + 13 = 53, what is x? (a) 9 (b) 40 (c) 10 (d) 11
  7. 7.If 2x + 28 = 36, what is x? (a) 8 (b) 5 (c) 4 (d) 32
  8. 8.If x/3 + 1 = 3, what is x? (a) 2 (b) 12 (c) 6 (d) 8
  9. 9.If 3x + 20 = 2x + 31, what is x? (a) 13 (b) 12 (c) 51 (d) 11
  10. 10.If 9x + 12 = 66, what is x? (a) 54 (b) 5 (c) 7 (d) 6
  11. 11.If 8x + 16 = 6x + 18, what is x? (a) 2 (b) 17 (c) 3 (d) 1
  12. 12.If 7x + 21 = 56, what is x? (a) 5 (b) 11 (c) 35 (d) 6
  13. 13.If 6x + 22 = 106, what is x? (a) 15 (b) 84 (c) 13 (d) 14
  14. 14.If x/2 + 13 = 21, what is x? (a) 68 (b) 29 (c) 8 (d) 16
  15. 15.If 4x + 4 = 36, what is x? (a) 32 (b) 10 (c) 8 (d) 9
  16. 16.If 5x + 22 = 77, what is x? (a) 55 (b) 11 (c) 10 (d) 12
  17. 17.If 2x − 10 = 18, what is x? (a) 4 (b) 28 (c) 15 (d) 14
  18. 18.If 3x + 2 = 32, what is x? (a) 30 (b) 11 (c) 9 (d) 10
  19. 19.If 8x + 28 = 108, what is x? (a) 17 (b) 80 (c) 11 (d) 10
  20. 20.If 9x + 19 = 127, what is x? (a) 108 (b) 13 (c) 11 (d) 12
  21. 21.If 4x − 21 = 23, what is x? (a) 44 (b) 10 (c) 11 (d) 12
  22. 22.If 4x + 28 = 44, what is x? (a) 18 (b) 4 (c) 5 (d) 16
  23. 23.If x/3 + 2 = 13, what is x? (a) 33 (b) 37 (c) 45 (d) 11
  24. 24.If 9x + 2 = 128, what is x? (a) 15 (b) 126 (c) 13 (d) 14
  25. 25.If 3x + 22 = 67, what is x? (a) 15 (b) 14 (c) 16 (d) 45
  26. 26.If 8x + 18 = x + 53, what is x? (a) 4 (b) 7 (c) 5 (d) 6
  27. 27.If 2x + 1 = 17, what is x? (a) 7 (b) 9 (c) 8 (d) 16
  28. 28.If 7x − 37 = 19, what is x? (a) 8 (b) 56 (c) 7 (d) 9
  29. 29.If x/4 + 7 = 14, what is x? (a) 84 (b) 49 (c) 7 (d) 28
  30. 30.If 9x + 4 = 6x + 22, what is x? (a) 5 (b) 6 (c) 7 (d) 8
  31. 31.If 5x + 20 = x + 48, what is x? (a) 17 (b) 7 (c) 8 (d) 9
  32. 32.If x/3 + 9 = 17, what is x? (a) 42 (b) 8 (c) 24 (d) 78
  33. 33.If 6x − 10 = 20, what is x? (a) 5 (b) 30 (c) 4 (d) 6
  34. 34.If 9x − 21 = 69, what is x? (a) 9 (b) 10 (c) 90 (d) 11
  35. 35.If 5x − 30 = 25, what is x? (a) 10 (b) 55 (c) 12 (d) 11
  36. 36.If x/4 + 2 = 9, what is x? (a) 28 (b) 7 (c) 34 (d) 44
  37. 37.If x/3 + 12 = 24, what is x? (a) 36 (b) 12 (c) 108 (d) 60
  38. 38.If 3x + 12 = 2x + 20, what is x? (a) 8 (b) 32 (c) 10 (d) 9
  39. 39.If 3x − 24 = 3, what is x? (a) 27 (b) 9 (c) 10 (d) 8
  40. 40.If 3x − 36 = 3, what is x? (a) 13 (b) 14 (c) 12 (d) 39

Answer key

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

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