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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 808 · 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 + 12 = 2x + 37, what is x? (a) 6 (b) 7 (c) 5 (d) 4
  2. 2.If 8x + 17 = 57, what is x? (a) 4 (b) 5 (c) 6 (d) 40
  3. 3.If 6x + 21 = 45, what is x? (a) 5 (b) 4 (c) 11 (d) 24
  4. 4.If 4x − 3 = 9, what is x? (a) 4 (b) 3 (c) 2 (d) 12
  5. 5.If 9x + 13 = 7x + 37, what is x? (a) 13 (b) 25 (c) 12 (d) 14
  6. 6.If 4x + 10 = x + 43, what is x? (a) 12 (b) 11 (c) 10 (d) 13
  7. 7.If 5x + 27 = 67, what is x? (a) 9 (b) 40 (c) 7 (d) 8
  8. 8.If 2x + 13 = 25, what is x? (a) 12 (b) 6 (c) 7 (d) 19
  9. 9.If 6x − 30 = 48, what is x? (a) 3 (b) 78 (c) 14 (d) 13
  10. 10.If 8x + 18 = 74, what is x? (a) 8 (b) 7 (c) 6 (d) 56
  11. 11.If 4x + 19 = 2x + 37, what is x? (a) 9 (b) 10 (c) 28 (d) 3
  12. 12.If 6x + 28 = 40, what is x? (a) 12 (b) 3 (c) 1 (d) 2
  13. 13.If x/6 + 6 = 13, what is x? (a) 72 (b) 7 (c) 114 (d) 42
  14. 14.If x/6 + 4 = 6, what is x? (a) 2 (b) 60 (c) 12 (d) 32
  15. 15.If 5x + 14 = 3x + 20, what is x? (a) 17 (b) 3 (c) 5 (d) 4
  16. 16.If 4x − 3 = 21, what is x? (a) 5 (b) 6 (c) 24 (d) 7
  17. 17.If x/2 + 3 = 10, what is x? (a) 26 (b) 7 (c) 14 (d) 17
  18. 18.If 6x + 5 = x + 10, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  19. 19.If x/6 + 7 = 19, what is x? (a) 72 (b) 156 (c) 12 (d) 107
  20. 20.If 5x + 3 = 53, what is x? (a) 10 (b) 9 (c) 11 (d) 50
  21. 21.If 5x + 2 = 77, what is x? (a) 75 (b) 15 (c) 14 (d) 16
  22. 22.If 2x − 5 = 9, what is x? (a) 8 (b) 14 (c) 2 (d) 7
  23. 23.If 3x + 28 = 67, what is x? (a) 12 (b) 14 (c) 39 (d) 13
  24. 24.If 3x + 7 = x + 19, what is x? (a) 6 (b) 3 (c) 13 (d) 7
  25. 25.If x/2 + 7 = 18, what is x? (a) 22 (b) 29 (c) 11 (d) 50
  26. 26.If 7x + 2 = 37, what is x? (a) 5 (b) 6 (c) 35 (d) 4
  27. 27.If 4x + 2 = 10, what is x? (a) 8 (b) 2 (c) 3 (d) 1
  28. 28.If 3x − 6 = 18, what is x? (a) 4 (b) 9 (c) 24 (d) 8
  29. 29.If 2x + 26 = 44, what is x? (a) 10 (b) 35 (c) 9 (d) 18
  30. 30.If 7x + 6 = 111, what is x? (a) 105 (b) 15 (c) 14 (d) 16
  31. 31.If 2x − 7 = 1, what is x? (a) 5 (b) 3 (c) 4 (d) 8
  32. 32.If x/3 + 7 = 13, what is x? (a) 18 (b) 32 (c) 6 (d) 60
  33. 33.If x/2 + 15 = 21, what is x? (a) 6 (b) 27 (c) 12 (d) 72
  34. 34.If 2x − 17 = 5, what is x? (a) 12 (b) 22 (c) 10 (d) 11
  35. 35.If x/2 + 7 = 10, what is x? (a) 13 (b) 3 (c) 34 (d) 6
  36. 36.If 3x + 29 = 35, what is x? (a) 6 (b) 3 (c) 1 (d) 2
  37. 37.If 2x + 6 = 18, what is x? (a) 5 (b) 6 (c) 7 (d) 12
  38. 38.If 5x − 25 = 50, what is x? (a) 5 (b) 75 (c) 15 (d) 16
  39. 39.If 4x + 28 = 56, what is x? (a) 7 (b) 28 (c) 21 (d) 8
  40. 40.If 2x − 4 = 2, what is x? (a) 6 (b) 4 (c) 3 (d) 2

Answer key

  1. 5
  2. 5
  3. 4
  4. 3
  5. 12
  6. 11
  7. 8
  8. 6
  9. 13
  10. 7
  11. 9
  12. 2
  13. 42
  14. 12
  15. 3
  16. 6
  17. 14
  18. 1
  19. 72
  20. 10
  21. 15
  22. 7
  23. 13
  24. 6
  25. 22
  26. 5
  27. 2
  28. 8
  29. 9
  30. 15
  31. 4
  32. 18
  33. 12
  34. 11
  35. 6
  36. 2
  37. 6
  38. 15
  39. 7
  40. 3

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