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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 61 · 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 x/3 + 6 = 10, what is x? (a) 24 (b) 12 (c) 48 (d) 4
  2. 2.If 4x + 17 = x + 38, what is x? (a) 6 (b) 7 (c) 9 (d) 8
  3. 3.If 6x + 19 = 37, what is x? (a) 18 (b) 4 (c) 2 (d) 3
  4. 4.If 2x + 21 = 37, what is x? (a) 9 (b) 29 (c) 8 (d) 16
  5. 5.If 8x + 21 = 141, what is x? (a) 14 (b) 16 (c) 15 (d) 120
  6. 6.If 9x + 15 = 42, what is x? (a) 2 (b) 27 (c) 4 (d) 3
  7. 7.If 4x + 15 = 55, what is x? (a) 40 (b) 11 (c) 10 (d) 9
  8. 8.If 6x + 18 = 4x + 24, what is x? (a) 21 (b) 3 (c) 5 (d) 4
  9. 9.If 7x − 102 = 3, what is x? (a) 105 (b) 14 (c) 16 (d) 15
  10. 10.If 5x + 4 = 64, what is x? (a) 11 (b) 60 (c) 13 (d) 12
  11. 11.If 5x + 20 = 4x + 31, what is x? (a) 12 (b) 11 (c) 13 (d) 51
  12. 12.If 2x + 30 = 36, what is x? (a) 4 (b) 6 (c) 33 (d) 3
  13. 13.If x/3 + 4 = 14, what is x? (a) 38 (b) 54 (c) 10 (d) 30
  14. 14.If 4x + 10 = 2x + 18, what is x? (a) 5 (b) 14 (c) 6 (d) 4
  15. 15.If 3x + 3 = 2x + 13, what is x? (a) 16 (b) 11 (c) 10 (d) 2
  16. 16.If 4x + 17 = x + 35, what is x? (a) 6 (b) 8 (c) 5 (d) 7
  17. 17.If 4x + 10 = 26, what is x? (a) 4 (b) 9 (c) 5 (d) 16
  18. 18.If 4x + 13 = 3x + 16, what is x? (a) 5 (b) 4 (c) 29 (d) 3
  19. 19.If 8x + 28 = 68, what is x? (a) 5 (b) 12 (c) 6 (d) 40
  20. 20.If 9x − 10 = 17, what is x? (a) 27 (b) 4 (c) 2 (d) 3
  21. 21.If 3x + 9 = 2x + 20, what is x? (a) 29 (b) 12 (c) 11 (d) 13
  22. 22.If 8x + 1 = x + 36, what is x? (a) 6 (b) 4 (c) 5 (d) 7
  23. 23.If 7x − 52 = 46, what is x? (a) 15 (b) 14 (c) 13 (d) 98
  24. 24.If 6x − 8 = 16, what is x? (a) 3 (b) 5 (c) 4 (d) 24
  25. 25.If 6x + 3 = x + 18, what is x? (a) 2 (b) 4 (c) 5 (d) 3
  26. 26.If x/4 + 7 = 16, what is x? (a) 92 (b) 9 (c) 36 (d) 57
  27. 27.If 7x + 7 = 2x + 17, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  28. 28.If 3x + 11 = x + 17, what is x? (a) 14 (b) 5 (c) 4 (d) 3
  29. 29.If x/5 + 4 = 10, what is x? (a) 46 (b) 30 (c) 6 (d) 70
  30. 30.If 2x + 7 = 17, what is x? (a) 5 (b) 6 (c) 10 (d) 12
  31. 31.If 5x + 19 = 79, what is x? (a) 11 (b) 12 (c) 13 (d) 60
  32. 32.If 3x − 25 = 2, what is x? (a) 9 (b) 27 (c) 10 (d) 8
  33. 33.If 4x + 27 = 47, what is x? (a) 5 (b) 20 (c) 6 (d) 4
  34. 34.If 2x − 1 = 11, what is x? (a) 7 (b) 12 (c) 5 (d) 6
  35. 35.If x/4 + 5 = 16, what is x? (a) 44 (b) 59 (c) 84 (d) 11
  36. 36.If 7x − 5 = 51, what is x? (a) 56 (b) 7 (c) 8 (d) 9
  37. 37.If 2x − 1 = 15, what is x? (a) 7 (b) 9 (c) 8 (d) 16
  38. 38.If 7x − 34 = 1, what is x? (a) 35 (b) 5 (c) 6 (d) 4
  39. 39.If 7x + 1 = 4x + 22, what is x? (a) 6 (b) 9 (c) 7 (d) 8
  40. 40.If 7x + 6 = 34, what is x? (a) 4 (b) 3 (c) 28 (d) 5

Answer key

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

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