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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 637 · 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 + 17 = x + 47, what is x? (a) 7 (b) 4 (c) 5 (d) 6
  2. 2.If 5x − 32 = 23, what is x? (a) 11 (b) 12 (c) 55 (d) 10
  3. 3.If 4x + 18 = 2x + 42, what is x? (a) 12 (b) 13 (c) 4 (d) 30
  4. 4.If 7x + 29 = 99, what is x? (a) 11 (b) 9 (c) 70 (d) 10
  5. 5.If x/3 + 9 = 21, what is x? (a) 54 (b) 90 (c) 36 (d) 12
  6. 6.If 4x + 16 = 68, what is x? (a) 52 (b) 21 (c) 14 (d) 13
  7. 7.If 3x + 3 = 2x + 4, what is x? (a) 3 (b) 2 (c) 1 (d) 7
  8. 8.If 7x − 5 = 9, what is x? (a) 2 (b) 14 (c) 1 (d) 3
  9. 9.If 4x + 2 = x + 32, what is x? (a) 12 (b) 10 (c) 11 (d) 6
  10. 10.If 9x − 96 = 3, what is x? (a) 99 (b) 10 (c) 12 (d) 11
  11. 11.If 7x − 7 = 42, what is x? (a) 49 (b) 8 (c) 5 (d) 7
  12. 12.If 5x − 10 = 5, what is x? (a) 4 (b) 3 (c) 2 (d) 15
  13. 13.If x/2 + 8 = 19, what is x? (a) 54 (b) 22 (c) 11 (d) 30
  14. 14.If 5x − 3 = 17, what is x? (a) 20 (b) 5 (c) 3 (d) 4
  15. 15.If 4x + 6 = 2x + 20, what is x? (a) 7 (b) 13 (c) 8 (d) 9
  16. 16.If x/3 + 14 = 21, what is x? (a) 49 (b) 21 (c) 7 (d) 105
  17. 17.If 9x + 16 = 4x + 26, what is x? (a) 3 (b) 2 (c) 1 (d) 4
  18. 18.If x/2 + 6 = 18, what is x? (a) 12 (b) 24 (c) 30 (d) 48
  19. 19.If 7x + 9 = 58, what is x? (a) 49 (b) 8 (c) 6 (d) 7
  20. 20.If x/3 + 2 = 6, what is x? (a) 4 (b) 16 (c) 12 (d) 24
  21. 21.If 2x + 9 = 33, what is x? (a) 21 (b) 13 (c) 24 (d) 12
  22. 22.If 3x + 23 = 29, what is x? (a) 1 (b) 3 (c) 6 (d) 2
  23. 23.If 2x + 2 = 10, what is x? (a) 5 (b) 8 (c) 4 (d) 6
  24. 24.If 9x + 6 = x + 86, what is x? (a) 10 (b) 8 (c) 12 (d) 11
  25. 25.If 7x + 26 = 96, what is x? (a) 11 (b) 70 (c) 9 (d) 10
  26. 26.If 8x + 3 = 7x + 6, what is x? (a) 3 (b) 9 (c) 4 (d) 5
  27. 27.If 4x + 30 = 46, what is x? (a) 4 (b) 16 (c) 19 (d) 5
  28. 28.If 7x + 3 = 5x + 27, what is x? (a) 2 (b) 15 (c) 13 (d) 12
  29. 29.If 7x − 36 = 20, what is x? (a) 9 (b) 7 (c) 56 (d) 8
  30. 30.If 5x + 3 = 2x + 33, what is x? (a) 10 (b) 11 (c) 12 (d) 9
  31. 31.If 6x + 2 = 3x + 11, what is x? (a) 5 (b) 4 (c) 1 (d) 3
  32. 32.If x/5 + 3 = 12, what is x? (a) 57 (b) 45 (c) 9 (d) 75
  33. 33.If 6x + 27 = 45, what is x? (a) 3 (b) 4 (c) 18 (d) 12
  34. 34.If 8x + 19 = x + 26, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  35. 35.If 5x + 18 = 3x + 20, what is x? (a) 19 (b) 3 (c) 2 (d) 1
  36. 36.If 9x + 14 = 68, what is x? (a) 54 (b) 7 (c) 6 (d) 5
  37. 37.If 3x + 18 = x + 26, what is x? (a) 2 (b) 22 (c) 5 (d) 4
  38. 38.If 6x − 3 = 27, what is x? (a) 6 (b) 5 (c) 30 (d) 4
  39. 39.If 9x + 1 = 118, what is x? (a) 117 (b) 12 (c) 14 (d) 13
  40. 40.If 3x + 10 = 37, what is x? (a) 8 (b) 27 (c) 10 (d) 9

Answer key

  1. 5
  2. 11
  3. 12
  4. 10
  5. 36
  6. 13
  7. 1
  8. 2
  9. 10
  10. 11
  11. 7
  12. 3
  13. 22
  14. 4
  15. 7
  16. 21
  17. 2
  18. 24
  19. 7
  20. 12
  21. 12
  22. 2
  23. 4
  24. 10
  25. 10
  26. 3
  27. 4
  28. 12
  29. 8
  30. 10
  31. 3
  32. 45
  33. 3
  34. 1
  35. 1
  36. 6
  37. 4
  38. 5
  39. 13
  40. 9

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