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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 253 · 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 − 16 = 12, what is x? (a) 4 (b) 3 (c) 28 (d) 5
  2. 2.If 5x + 7 = 3x + 13, what is x? (a) 10 (b) 4 (c) 3 (d) 5
  3. 3.If x/4 + 11 = 16, what is x? (a) 108 (b) 5 (c) 20 (d) 53
  4. 4.If 3x + 3 = 2x + 14, what is x? (a) 17 (b) 11 (c) 13 (d) 12
  5. 5.If 7x − 72 = 19, what is x? (a) 91 (b) 14 (c) 13 (d) 12
  6. 6.If 8x + 5 = 4x + 9, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  7. 7.If x/2 + 14 = 16, what is x? (a) 18 (b) 60 (c) 2 (d) 4
  8. 8.If 8x + 9 = 113, what is x? (a) 12 (b) 14 (c) 13 (d) 104
  9. 9.If x/3 + 1 = 10, what is x? (a) 9 (b) 27 (c) 33 (d) 29
  10. 10.If 4x + 10 = x + 31, what is x? (a) 9 (b) 8 (c) 7 (d) 6
  11. 11.If 5x + 9 = 4x + 13, what is x? (a) 22 (b) 6 (c) 4 (d) 5
  12. 12.If 6x + 18 = x + 38, what is x? (a) 5 (b) 6 (c) 3 (d) 4
  13. 13.If 4x + 23 = 71, what is x? (a) 12 (b) 48 (c) 13 (d) 11
  14. 14.If x/5 + 2 = 6, what is x? (a) 40 (b) 4 (c) 28 (d) 20
  15. 15.If 7x + 25 = 123, what is x? (a) 13 (b) 15 (c) 98 (d) 14
  16. 16.If 9x − 24 = 30, what is x? (a) 54 (b) 7 (c) 6 (d) 5
  17. 17.If 9x − 47 = 43, what is x? (a) 11 (b) 9 (c) 90 (d) 10
  18. 18.If 9x + 1 = 4x + 56, what is x? (a) 11 (b) 12 (c) 10 (d) 13
  19. 19.If 2x + 13 = 33, what is x? (a) 23 (b) 11 (c) 20 (d) 10
  20. 20.If x/4 + 8 = 18, what is x? (a) 64 (b) 104 (c) 40 (d) 10
  21. 21.If 4x + 1 = 3x + 8, what is x? (a) 7 (b) 8 (c) 1 (d) 9
  22. 22.If 5x + 23 = 48, what is x? (a) 4 (b) 6 (c) 25 (d) 5
  23. 23.If 2x − 1 = 7, what is x? (a) 5 (b) 3 (c) 8 (d) 4
  24. 24.If x/3 + 3 = 15, what is x? (a) 12 (b) 36 (c) 54 (d) 42
  25. 25.If 8x + 2 = 5x + 8, what is x? (a) 2 (b) 4 (c) 1 (d) 3
  26. 26.If 4x + 4 = 3x + 6, what is x? (a) 2 (b) 10 (c) 4 (d) 3
  27. 27.If 6x + 24 = 54, what is x? (a) 6 (b) 13 (c) 30 (d) 5
  28. 28.If x/3 + 7 = 11, what is x? (a) 12 (b) 54 (c) 26 (d) 4
  29. 29.If 2x + 27 = 39, what is x? (a) 6 (b) 33 (c) 12 (d) 7
  30. 30.If 3x + 9 = 21, what is x? (a) 10 (b) 12 (c) 5 (d) 4
  31. 31.If 9x + 24 = 78, what is x? (a) 7 (b) 5 (c) 6 (d) 54
  32. 32.If 2x − 2 = 2, what is x? (a) 1 (b) 4 (c) 3 (d) 2
  33. 33.If 5x − 2 = 38, what is x? (a) 8 (b) 7 (c) 9 (d) 40
  34. 34.If 2x − 4 = 22, what is x? (a) 13 (b) 26 (c) 14 (d) 9
  35. 35.If 4x − 51 = 5, what is x? (a) 13 (b) 56 (c) 14 (d) 15
  36. 36.If 5x − 19 = 1, what is x? (a) 3 (b) 5 (c) 4 (d) 20
  37. 37.If x/5 + 10 = 14, what is x? (a) 120 (b) 4 (c) 20 (d) 60
  38. 38.If 6x − 3 = 15, what is x? (a) 18 (b) 3 (c) 2 (d) 4
  39. 39.If 2x − 7 = 5, what is x? (a) 6 (b) 7 (c) 5 (d) 12
  40. 40.If 6x − 18 = 12, what is x? (a) 5 (b) 4 (c) 30 (d) 6

Answer key

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

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