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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 635 · 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/2 + 8 = 16, what is x? (a) 48 (b) 8 (c) 24 (d) 16
  2. 2.If x/6 + 3 = 11, what is x? (a) 63 (b) 8 (c) 84 (d) 48
  3. 3.If 9x + 15 = 7x + 31, what is x? (a) 23 (b) 1 (c) 9 (d) 8
  4. 4.If 3x − 18 = 15, what is x? (a) 12 (b) 33 (c) 10 (d) 11
  5. 5.If 3x + 16 = x + 24, what is x? (a) 4 (b) 5 (c) 2 (d) 20
  6. 6.If x/4 + 14 = 16, what is x? (a) 120 (b) 50 (c) 8 (d) 2
  7. 7.If x/5 + 2 = 8, what is x? (a) 6 (b) 38 (c) 30 (d) 50
  8. 8.If 4x − 18 = 34, what is x? (a) 4 (b) 14 (c) 52 (d) 13
  9. 9.If 3x + 13 = 19, what is x? (a) 6 (b) 3 (c) 2 (d) 1
  10. 10.If 8x − 18 = 38, what is x? (a) 6 (b) 8 (c) 56 (d) 7
  11. 11.If x/3 + 2 = 7, what is x? (a) 15 (b) 19 (c) 27 (d) 5
  12. 12.If 2x − 2 = 14, what is x? (a) 16 (b) 9 (c) 6 (d) 8
  13. 13.If 5x + 15 = 4x + 22, what is x? (a) 9 (b) 7 (c) 37 (d) 8
  14. 14.If 4x + 17 = x + 53, what is x? (a) 14 (b) 11 (c) 12 (d) 13
  15. 15.If 7x − 34 = 22, what is x? (a) 56 (b) 9 (c) 7 (d) 8
  16. 16.If 9x + 3 = 4x + 58, what is x? (a) 10 (b) 13 (c) 12 (d) 11
  17. 17.If 2x + 4 = 24, what is x? (a) 20 (b) 11 (c) 10 (d) 14
  18. 18.If x/4 + 3 = 8, what is x? (a) 20 (b) 5 (c) 44 (d) 29
  19. 19.If x/5 + 14 = 19, what is x? (a) 5 (b) 25 (c) 81 (d) 165
  20. 20.If 8x + 3 = 5x + 9, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  21. 21.If 5x + 15 = 50, what is x? (a) 35 (b) 8 (c) 7 (d) 13
  22. 22.If 2x + 1 = 27, what is x? (a) 14 (b) 12 (c) 13 (d) 26
  23. 23.If 8x + 8 = 6x + 26, what is x? (a) 9 (b) 11 (c) 10 (d) 17
  24. 24.If 8x + 14 = x + 77, what is x? (a) 13 (b) 7 (c) 10 (d) 9
  25. 25.If 2x + 22 = 48, what is x? (a) 14 (b) 26 (c) 35 (d) 13
  26. 26.If x/6 + 13 = 21, what is x? (a) 48 (b) 204 (c) 113 (d) 8
  27. 27.If 7x + 27 = 83, what is x? (a) 56 (b) 7 (c) 8 (d) 9
  28. 28.If x/3 + 2 = 14, what is x? (a) 36 (b) 40 (c) 12 (d) 48
  29. 29.If 3x + 2 = x + 18, what is x? (a) 8 (b) 4 (c) 9 (d) 10
  30. 30.If 9x + 20 = 83, what is x? (a) 7 (b) 8 (c) 63 (d) 6
  31. 31.If 2x − 7 = 3, what is x? (a) 4 (b) 6 (c) 10 (d) 5
  32. 32.If 5x + 15 = 4x + 21, what is x? (a) 8 (b) 6 (c) 7 (d) 36
  33. 33.If 5x − 38 = 37, what is x? (a) 16 (b) 15 (c) 14 (d) 75
  34. 34.If 7x + 19 = 3x + 43, what is x? (a) 6 (b) 8 (c) 5 (d) 7
  35. 35.If 4x − 2 = 26, what is x? (a) 6 (b) 8 (c) 7 (d) 28
  36. 36.If 2x − 18 = 10, what is x? (a) 28 (b) 15 (c) 13 (d) 14
  37. 37.If 3x + 21 = 27, what is x? (a) 3 (b) 6 (c) 2 (d) 16
  38. 38.If 6x + 5 = x + 10, what is x? (a) 1 (b) 3 (c) 4 (d) 2
  39. 39.If 5x + 10 = x + 54, what is x? (a) 16 (b) 13 (c) 11 (d) 12
  40. 40.If 9x − 38 = 52, what is x? (a) 9 (b) 90 (c) 10 (d) 11

Answer key

  1. 16
  2. 48
  3. 8
  4. 11
  5. 4
  6. 8
  7. 30
  8. 13
  9. 2
  10. 7
  11. 15
  12. 8
  13. 7
  14. 12
  15. 8
  16. 11
  17. 10
  18. 20
  19. 25
  20. 2
  21. 7
  22. 13
  23. 9
  24. 9
  25. 13
  26. 48
  27. 8
  28. 36
  29. 8
  30. 7
  31. 5
  32. 6
  33. 15
  34. 6
  35. 7
  36. 14
  37. 2
  38. 1
  39. 11
  40. 10

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