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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 641 · 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 8x + 5 = 6x + 17, what is x? (a) 11 (b) 8 (c) 7 (d) 6
  2. 2.If x/5 + 15 = 25, what is x? (a) 200 (b) 50 (c) 10 (d) 110
  3. 3.If 9x + 18 = x + 114, what is x? (a) 13 (b) 12 (c) 11 (d) 14
  4. 4.If x/2 + 4 = 15, what is x? (a) 11 (b) 38 (c) 22 (d) 26
  5. 5.If 7x − 35 = 63, what is x? (a) 14 (b) 4 (c) 15 (d) 98
  6. 6.If 5x − 26 = 24, what is x? (a) 9 (b) 50 (c) 11 (d) 10
  7. 7.If x/4 + 1 = 6, what is x? (a) 5 (b) 20 (c) 28 (d) 23
  8. 8.If 8x + 8 = 24, what is x? (a) 4 (b) 3 (c) 16 (d) 2
  9. 9.If x/2 + 13 = 23, what is x? (a) 33 (b) 10 (c) 72 (d) 20
  10. 10.If x/3 + 3 = 6, what is x? (a) 27 (b) 3 (c) 15 (d) 9
  11. 11.If x/2 + 3 = 7, what is x? (a) 8 (b) 20 (c) 11 (d) 4
  12. 12.If 7x + 23 = 72, what is x? (a) 7 (b) 49 (c) 8 (d) 6
  13. 13.If 6x + 15 = 3x + 27, what is x? (a) 14 (b) 5 (c) 6 (d) 4
  14. 14.If 2x + 19 = 33, what is x? (a) 7 (b) 8 (c) 14 (d) 26
  15. 15.If 6x − 9 = 15, what is x? (a) 1 (b) 5 (c) 24 (d) 4
  16. 16.If 9x + 22 = 112, what is x? (a) 90 (b) 11 (c) 9 (d) 10
  17. 17.If x/2 + 12 = 20, what is x? (a) 16 (b) 8 (c) 64 (d) 28
  18. 18.If x/2 + 14 = 18, what is x? (a) 22 (b) 4 (c) 64 (d) 8
  19. 19.If x/6 + 8 = 12, what is x? (a) 120 (b) 64 (c) 4 (d) 24
  20. 20.If 6x − 17 = 7, what is x? (a) 4 (b) 24 (c) 3 (d) 5
  21. 21.If 3x + 6 = 21, what is x? (a) 5 (b) 15 (c) 9 (d) 6
  22. 22.If 3x + 14 = 20, what is x? (a) 3 (b) 2 (c) 1 (d) 6
  23. 23.If 4x − 7 = 5, what is x? (a) 2 (b) 4 (c) 12 (d) 3
  24. 24.If 3x + 3 = x + 15, what is x? (a) 3 (b) 9 (c) 7 (d) 6
  25. 25.If 5x + 1 = 51, what is x? (a) 11 (b) 10 (c) 9 (d) 50
  26. 26.If 2x + 30 = 44, what is x? (a) 37 (b) 14 (c) 8 (d) 7
  27. 27.If 8x + 7 = 4x + 55, what is x? (a) 4 (b) 12 (c) 14 (d) 13
  28. 28.If 6x + 1 = 4x + 17, what is x? (a) 9 (b) 10 (c) 7 (d) 8
  29. 29.If 8x − 29 = 3, what is x? (a) 32 (b) 5 (c) 4 (d) 3
  30. 30.If 7x − 64 = 13, what is x? (a) 77 (b) 12 (c) 10 (d) 11
  31. 31.If 9x + 19 = 2x + 54, what is x? (a) 7 (b) 4 (c) 5 (d) 6
  32. 32.If 7x + 28 = 70, what is x? (a) 42 (b) 7 (c) 14 (d) 6
  33. 33.If 3x − 11 = 28, what is x? (a) 13 (b) 12 (c) 14 (d) 39
  34. 34.If x/2 + 7 = 17, what is x? (a) 10 (b) 20 (c) 48 (d) 27
  35. 35.If 9x + 16 = 8x + 19, what is x? (a) 4 (b) 35 (c) 3 (d) 5
  36. 36.If 9x + 6 = 4x + 21, what is x? (a) 5 (b) 2 (c) 4 (d) 3
  37. 37.If 3x − 29 = 1, what is x? (a) 11 (b) 30 (c) 10 (d) 9
  38. 38.If 9x + 25 = 43, what is x? (a) 18 (b) 3 (c) 2 (d) 1
  39. 39.If 7x + 15 = 5x + 23, what is x? (a) 6 (b) 19 (c) 5 (d) 4
  40. 40.If x/3 + 14 = 16, what is x? (a) 2 (b) 90 (c) 34 (d) 6

Answer key

  1. 6
  2. 50
  3. 12
  4. 22
  5. 14
  6. 10
  7. 20
  8. 2
  9. 20
  10. 9
  11. 8
  12. 7
  13. 4
  14. 7
  15. 4
  16. 10
  17. 16
  18. 8
  19. 24
  20. 4
  21. 5
  22. 2
  23. 3
  24. 6
  25. 10
  26. 7
  27. 12
  28. 8
  29. 4
  30. 11
  31. 5
  32. 6
  33. 13
  34. 20
  35. 3
  36. 3
  37. 10
  38. 2
  39. 4
  40. 6

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