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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 767 · 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 + 8 = 6x + 13, what is x? (a) 7 (b) 21 (c) 5 (d) 6
  2. 2.If 4x + 5 = x + 41, what is x? (a) 13 (b) 11 (c) 14 (d) 12
  3. 3.If 3x − 5 = 34, what is x? (a) 12 (b) 13 (c) 14 (d) 39
  4. 4.If 7x + 11 = 5x + 35, what is x? (a) 2 (b) 23 (c) 12 (d) 13
  5. 5.If 3x + 20 = 2x + 23, what is x? (a) 43 (b) 3 (c) 4 (d) 5
  6. 6.If x/3 + 14 = 17, what is x? (a) 3 (b) 93 (c) 37 (d) 9
  7. 7.If x/5 + 1 = 7, what is x? (a) 40 (b) 6 (c) 34 (d) 30
  8. 8.If 8x − 25 = 39, what is x? (a) 9 (b) 8 (c) 64 (d) 7
  9. 9.If 6x + 17 = 65, what is x? (a) 8 (b) 7 (c) 9 (d) 48
  10. 10.If 5x + 14 = 59, what is x? (a) 10 (b) 9 (c) 45 (d) 8
  11. 11.If 4x + 20 = 3x + 31, what is x? (a) 11 (b) 51 (c) 13 (d) 12
  12. 12.If 5x + 4 = x + 8, what is x? (a) 2 (b) 3 (c) 1 (d) 4
  13. 13.If 2x − 5 = 3, what is x? (a) 3 (b) 4 (c) 5 (d) 8
  14. 14.If 7x + 13 = 5x + 31, what is x? (a) 10 (b) 22 (c) 11 (d) 9
  15. 15.If 6x − 33 = 9, what is x? (a) 8 (b) 7 (c) 42 (d) 6
  16. 16.If 9x − 73 = 26, what is x? (a) 10 (b) 99 (c) 11 (d) 12
  17. 17.If 3x + 13 = x + 15, what is x? (a) 2 (b) 3 (c) 1 (d) 14
  18. 18.If 6x − 4 = 62, what is x? (a) 10 (b) 11 (c) 12 (d) 66
  19. 19.If 2x + 15 = 35, what is x? (a) 20 (b) 11 (c) 25 (d) 10
  20. 20.If 8x − 67 = 13, what is x? (a) 80 (b) 11 (c) 9 (d) 10
  21. 21.If 5x + 15 = 2x + 39, what is x? (a) 18 (b) 10 (c) 9 (d) 8
  22. 22.If 9x + 8 = 6x + 44, what is x? (a) 12 (b) 14 (c) 13 (d) 11
  23. 23.If x/3 + 12 = 20, what is x? (a) 48 (b) 96 (c) 24 (d) 8
  24. 24.If 9x + 12 = 3x + 36, what is x? (a) 8 (b) 4 (c) 2 (d) 5
  25. 25.If x/4 + 4 = 14, what is x? (a) 10 (b) 40 (c) 72 (d) 52
  26. 26.If 3x − 23 = 16, what is x? (a) 13 (b) 39 (c) 14 (d) 12
  27. 27.If 9x + 15 = 2x + 64, what is x? (a) 6 (b) 9 (c) 8 (d) 7
  28. 28.If 4x + 24 = 64, what is x? (a) 40 (b) 22 (c) 10 (d) 11
  29. 29.If 4x + 29 = 65, what is x? (a) 8 (b) 9 (c) 10 (d) 36
  30. 30.If x/2 + 3 = 15, what is x? (a) 12 (b) 27 (c) 36 (d) 24
  31. 31.If 4x − 20 = 20, what is x? (a) 11 (b) 40 (c) 10 (d) 9
  32. 32.If x/6 + 6 = 13, what is x? (a) 72 (b) 114 (c) 7 (d) 42
  33. 33.If 6x − 15 = 3, what is x? (a) 2 (b) 4 (c) 18 (d) 3
  34. 34.If 9x + 5 = 131, what is x? (a) 15 (b) 13 (c) 126 (d) 14
  35. 35.If x/3 + 2 = 6, what is x? (a) 4 (b) 16 (c) 24 (d) 12
  36. 36.If 2x + 13 = 29, what is x? (a) 9 (b) 16 (c) 8 (d) 21
  37. 37.If 8x + 23 = 55, what is x? (a) 5 (b) 32 (c) 4 (d) 3
  38. 38.If x/6 + 10 = 16, what is x? (a) 6 (b) 36 (c) 86 (d) 156
  39. 39.If 7x + 9 = 2x + 59, what is x? (a) 9 (b) 10 (c) 11 (d) 12
  40. 40.If 6x + 13 = 4x + 21, what is x? (a) 17 (b) 6 (c) 5 (d) 4

Answer key

  1. 5
  2. 12
  3. 13
  4. 12
  5. 3
  6. 9
  7. 30
  8. 8
  9. 8
  10. 9
  11. 11
  12. 1
  13. 4
  14. 9
  15. 7
  16. 11
  17. 1
  18. 11
  19. 10
  20. 10
  21. 8
  22. 12
  23. 24
  24. 4
  25. 40
  26. 13
  27. 7
  28. 10
  29. 9
  30. 24
  31. 10
  32. 42
  33. 3
  34. 14
  35. 12
  36. 8
  37. 4
  38. 36
  39. 10
  40. 4

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