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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 528 · 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 + 16 = 81, what is x? (a) 14 (b) 65 (c) 12 (d) 13
  2. 2.If 7x + 15 = 6x + 19, what is x? (a) 4 (b) 6 (c) 34 (d) 5
  3. 3.If 9x + 11 = 29, what is x? (a) 18 (b) 2 (c) 3 (d) 1
  4. 4.If x/3 + 3 = 6, what is x? (a) 15 (b) 3 (c) 27 (d) 9
  5. 5.If 3x + 15 = 39, what is x? (a) 18 (b) 9 (c) 8 (d) 24
  6. 6.If 3x − 9 = 30, what is x? (a) 7 (b) 14 (c) 13 (d) 39
  7. 7.If x/4 + 12 = 17, what is x? (a) 5 (b) 56 (c) 20 (d) 116
  8. 8.If 4x + 3 = 3x + 7, what is x? (a) 5 (b) 4 (c) 10 (d) 6
  9. 9.If 8x − 12 = 20, what is x? (a) 1 (b) 5 (c) 32 (d) 4
  10. 10.If x/4 + 8 = 11, what is x? (a) 12 (b) 36 (c) 76 (d) 3
  11. 11.If 5x + 21 = 31, what is x? (a) 1 (b) 10 (c) 2 (d) 3
  12. 12.If 4x + 17 = 61, what is x? (a) 12 (b) 10 (c) 11 (d) 44
  13. 13.If 7x − 41 = 1, what is x? (a) 5 (b) 42 (c) 6 (d) 7
  14. 14.If 8x − 29 = 75, what is x? (a) 104 (b) 12 (c) 13 (d) 14
  15. 15.If 3x + 1 = 31, what is x? (a) 10 (b) 11 (c) 9 (d) 30
  16. 16.If x/4 + 13 = 22, what is x? (a) 75 (b) 9 (c) 140 (d) 36
  17. 17.If 3x + 19 = x + 27, what is x? (a) 23 (b) 4 (c) 5 (d) 2
  18. 18.If 9x − 31 = 77, what is x? (a) 13 (b) 11 (c) 108 (d) 12
  19. 19.If x/5 + 1 = 4, what is x? (a) 3 (b) 25 (c) 15 (d) 19
  20. 20.If 5x + 5 = 20, what is x? (a) 4 (b) 3 (c) 15 (d) 5
  21. 21.If x/2 + 5 = 16, what is x? (a) 27 (b) 22 (c) 42 (d) 11
  22. 22.If 6x − 5 = 61, what is x? (a) 10 (b) 11 (c) 12 (d) 66
  23. 23.If x/2 + 9 = 17, what is x? (a) 8 (b) 25 (c) 52 (d) 16
  24. 24.If x/5 + 2 = 8, what is x? (a) 30 (b) 6 (c) 50 (d) 38
  25. 25.If 2x + 9 = 31, what is x? (a) 20 (b) 22 (c) 11 (d) 12
  26. 26.If 5x − 3 = 7, what is x? (a) 10 (b) 2 (c) 3 (d) 1
  27. 27.If 6x + 20 = x + 25, what is x? (a) 1 (b) 3 (c) 2 (d) 9
  28. 28.If 3x + 13 = 2x + 22, what is x? (a) 9 (b) 10 (c) 35 (d) 11
  29. 29.If x/6 + 2 = 5, what is x? (a) 3 (b) 28 (c) 42 (d) 18
  30. 30.If x/5 + 4 = 12, what is x? (a) 8 (b) 56 (c) 40 (d) 80
  31. 31.If 4x + 2 = 58, what is x? (a) 15 (b) 56 (c) 13 (d) 14
  32. 32.If 8x − 13 = 43, what is x? (a) 56 (b) 6 (c) 7 (d) 8
  33. 33.If 2x − 3 = 19, what is x? (a) 22 (b) 12 (c) 11 (d) 8
  34. 34.If 5x + 2 = x + 14, what is x? (a) 3 (b) 5 (c) 4 (d) 2
  35. 35.If 8x − 9 = 31, what is x? (a) 6 (b) 5 (c) 4 (d) 40
  36. 36.If 7x − 6 = 71, what is x? (a) 77 (b) 10 (c) 12 (d) 11
  37. 37.If 6x + 19 = 43, what is x? (a) 3 (b) 24 (c) 4 (d) 5
  38. 38.If 6x − 43 = 11, what is x? (a) 9 (b) 8 (c) 10 (d) 54
  39. 39.If 5x − 32 = 18, what is x? (a) 9 (b) 50 (c) 10 (d) 11
  40. 40.If 5x + 28 = 38, what is x? (a) 10 (b) 3 (c) 1 (d) 2

Answer key

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

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