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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 243 · 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 + 2 = 7, what is x? (a) 18 (b) 10 (c) 5 (d) 12
  2. 2.If 4x − 7 = 1, what is x? (a) 8 (b) 1 (c) 3 (d) 2
  3. 3.If 2x − 12 = 2, what is x? (a) 6 (b) 14 (c) 7 (d) 8
  4. 4.If 4x + 19 = 31, what is x? (a) 3 (b) 2 (c) 4 (d) 12
  5. 5.If 6x + 9 = 2x + 13, what is x? (a) 2 (b) 1 (c) 4 (d) 3
  6. 6.If 3x − 6 = 27, what is x? (a) 33 (b) 12 (c) 11 (d) 7
  7. 7.If 5x + 20 = 75, what is x? (a) 19 (b) 11 (c) 55 (d) 12
  8. 8.If x/5 + 5 = 11, what is x? (a) 50 (b) 6 (c) 80 (d) 30
  9. 9.If 9x + 28 = 82, what is x? (a) 7 (b) 5 (c) 54 (d) 6
  10. 10.If 5x − 65 = 5, what is x? (a) 70 (b) 13 (c) 14 (d) 15
  11. 11.If 5x + 1 = 11, what is x? (a) 1 (b) 10 (c) 2 (d) 3
  12. 12.If 5x − 7 = 28, what is x? (a) 35 (b) 7 (c) 6 (d) 8
  13. 13.If 4x + 11 = 31, what is x? (a) 5 (b) 20 (c) 6 (d) 4
  14. 14.If 4x − 17 = 7, what is x? (a) 6 (b) 7 (c) 5 (d) 24
  15. 15.If 3x + 28 = 37, what is x? (a) 4 (b) 3 (c) 9 (d) 2
  16. 16.If 6x + 8 = 50, what is x? (a) 6 (b) 8 (c) 7 (d) 42
  17. 17.If 5x − 55 = 20, what is x? (a) 16 (b) 75 (c) 14 (d) 15
  18. 18.If 3x − 10 = 29, what is x? (a) 13 (b) 14 (c) 39 (d) 12
  19. 19.If 5x + 9 = 2x + 15, what is x? (a) 4 (b) 3 (c) 8 (d) 2
  20. 20.If 5x + 17 = 4x + 29, what is x? (a) 14 (b) 13 (c) 12 (d) 46
  21. 21.If 8x − 20 = 20, what is x? (a) 6 (b) 5 (c) 40 (d) 4
  22. 22.If x/2 + 15 = 21, what is x? (a) 72 (b) 27 (c) 6 (d) 12
  23. 23.If 3x + 3 = x + 27, what is x? (a) 15 (b) 12 (c) 6 (d) 13
  24. 24.If 3x + 7 = x + 29, what is x? (a) 13 (b) 18 (c) 12 (d) 11
  25. 25.If 4x + 4 = 44, what is x? (a) 10 (b) 40 (c) 12 (d) 11
  26. 26.If 3x + 9 = 2x + 12, what is x? (a) 3 (b) 21 (c) 4 (d) 5
  27. 27.If 6x + 8 = 98, what is x? (a) 15 (b) 14 (c) 16 (d) 90
  28. 28.If 5x − 43 = 27, what is x? (a) 15 (b) 70 (c) 13 (d) 14
  29. 29.If x/4 + 1 = 7, what is x? (a) 32 (b) 27 (c) 24 (d) 6
  30. 30.If x/5 + 1 = 6, what is x? (a) 35 (b) 5 (c) 29 (d) 25
  31. 31.If 5x + 3 = 53, what is x? (a) 10 (b) 50 (c) 9 (d) 11
  32. 32.If 9x − 5 = 22, what is x? (a) 27 (b) 2 (c) 4 (d) 3
  33. 33.If x/4 + 14 = 20, what is x? (a) 24 (b) 66 (c) 6 (d) 136
  34. 34.If 9x − 28 = 17, what is x? (a) 6 (b) 5 (c) 45 (d) 4
  35. 35.If 4x − 4 = 16, what is x? (a) 20 (b) 3 (c) 6 (d) 5
  36. 36.If 5x + 10 = 3x + 30, what is x? (a) 11 (b) 12 (c) 20 (d) 10
  37. 37.If x/3 + 9 = 11, what is x? (a) 2 (b) 24 (c) 6 (d) 60
  38. 38.If 2x − 2 = 6, what is x? (a) 2 (b) 8 (c) 5 (d) 4
  39. 39.If x/4 + 4 = 6, what is x? (a) 2 (b) 40 (c) 8 (d) 20
  40. 40.If 6x + 20 = 98, what is x? (a) 78 (b) 14 (c) 12 (d) 13

Answer key

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

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