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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 822 · 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 2x + 14 = 32, what is x? (a) 18 (b) 9 (c) 23 (d) 10
  2. 2.If x/3 + 1 = 10, what is x? (a) 29 (b) 33 (c) 9 (d) 27
  3. 3.If 9x − 95 = 40, what is x? (a) 135 (b) 15 (c) 14 (d) 16
  4. 4.If 6x + 14 = x + 59, what is x? (a) 8 (b) 9 (c) 11 (d) 10
  5. 5.If x/3 + 2 = 5, what is x? (a) 3 (b) 21 (c) 9 (d) 13
  6. 6.If 8x + 7 = x + 56, what is x? (a) 6 (b) 9 (c) 8 (d) 7
  7. 7.If 2x − 10 = 8, what is x? (a) 10 (b) 8 (c) 18 (d) 9
  8. 8.If x/5 + 2 = 13, what is x? (a) 75 (b) 55 (c) 11 (d) 63
  9. 9.If 3x − 3 = 15, what is x? (a) 4 (b) 7 (c) 18 (d) 6
  10. 10.If 4x + 29 = 49, what is x? (a) 4 (b) 6 (c) 5 (d) 20
  11. 11.If 7x − 2 = 12, what is x? (a) 2 (b) 3 (c) 1 (d) 14
  12. 12.If 3x − 4 = 2, what is x? (a) 6 (b) 1 (c) 3 (d) 2
  13. 13.If x/6 + 1 = 4, what is x? (a) 23 (b) 18 (c) 30 (d) 3
  14. 14.If 3x − 4 = 26, what is x? (a) 11 (b) 10 (c) 30 (d) 9
  15. 15.If 3x − 38 = 7, what is x? (a) 14 (b) 16 (c) 15 (d) 45
  16. 16.If x/2 + 12 = 14, what is x? (a) 2 (b) 52 (c) 16 (d) 4
  17. 17.If 7x + 7 = 84, what is x? (a) 12 (b) 13 (c) 11 (d) 77
  18. 18.If 8x + 30 = 102, what is x? (a) 8 (b) 9 (c) 10 (d) 72
  19. 19.If 4x + 22 = 62, what is x? (a) 10 (b) 21 (c) 40 (d) 11
  20. 20.If 3x + 21 = 57, what is x? (a) 36 (b) 26 (c) 13 (d) 12
  21. 21.If 7x − 47 = 37, what is x? (a) 13 (b) 84 (c) 12 (d) 11
  22. 22.If 7x + 5 = x + 17, what is x? (a) 1 (b) 2 (c) 3 (d) 4
  23. 23.If x/2 + 15 = 18, what is x? (a) 3 (b) 66 (c) 21 (d) 6
  24. 24.If x/2 + 5 = 11, what is x? (a) 17 (b) 12 (c) 6 (d) 32
  25. 25.If 8x − 25 = 63, what is x? (a) 12 (b) 11 (c) 88 (d) 10
  26. 26.If 2x − 17 = 7, what is x? (a) 12 (b) 13 (c) 24 (d) 11
  27. 27.If 4x − 29 = 7, what is x? (a) 8 (b) 36 (c) 9 (d) 10
  28. 28.If 7x + 19 = 54, what is x? (a) 35 (b) 6 (c) 4 (d) 5
  29. 29.If 9x − 64 = 35, what is x? (a) 10 (b) 11 (c) 99 (d) 12
  30. 30.If 6x + 4 = x + 14, what is x? (a) 3 (b) 2 (c) 4 (d) 1
  31. 31.If 2x + 15 = 29, what is x? (a) 7 (b) 14 (c) 8 (d) 22
  32. 32.If 5x + 9 = 3x + 11, what is x? (a) 1 (b) 10 (c) 3 (d) 2
  33. 33.If 4x − 4 = 8, what is x? (a) 4 (b) 12 (c) 3 (d) 1
  34. 34.If 6x + 6 = 2x + 26, what is x? (a) 8 (b) 7 (c) 5 (d) 6
  35. 35.If 3x + 20 = 2x + 27, what is x? (a) 8 (b) 9 (c) 47 (d) 7
  36. 36.If 9x − 12 = 15, what is x? (a) 4 (b) 2 (c) 27 (d) 3
  37. 37.If 3x − 11 = 4, what is x? (a) 6 (b) 5 (c) 15 (d) 4
  38. 38.If x/4 + 4 = 12, what is x? (a) 64 (b) 44 (c) 8 (d) 32
  39. 39.If 3x + 1 = 25, what is x? (a) 8 (b) 9 (c) 7 (d) 24
  40. 40.If 2x − 19 = 7, what is x? (a) 26 (b) 14 (c) 13 (d) 12

Answer key

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

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