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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 257 · 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/4 + 10 = 20, what is x? (a) 70 (b) 10 (c) 120 (d) 40
  2. 2.If 2x − 7 = 13, what is x? (a) 11 (b) 10 (c) 3 (d) 20
  3. 3.If x/5 + 2 = 11, what is x? (a) 65 (b) 9 (c) 45 (d) 53
  4. 4.If x/4 + 2 = 13, what is x? (a) 50 (b) 11 (c) 60 (d) 44
  5. 5.If 4x − 14 = 38, what is x? (a) 13 (b) 6 (c) 52 (d) 14
  6. 6.If 2x + 27 = 33, what is x? (a) 6 (b) 30 (c) 4 (d) 3
  7. 7.If 6x + 1 = 67, what is x? (a) 66 (b) 10 (c) 12 (d) 11
  8. 8.If x/2 + 9 = 16, what is x? (a) 7 (b) 50 (c) 23 (d) 14
  9. 9.If 9x − 7 = 11, what is x? (a) 1 (b) 3 (c) 18 (d) 2
  10. 10.If 4x − 9 = 23, what is x? (a) 32 (b) 7 (c) 8 (d) 9
  11. 11.If 3x + 14 = 2x + 20, what is x? (a) 34 (b) 8 (c) 6 (d) 7
  12. 12.If 3x + 14 = 2x + 16, what is x? (a) 4 (b) 30 (c) 3 (d) 2
  13. 13.If 2x + 3 = 11, what is x? (a) 8 (b) 4 (c) 5 (d) 7
  14. 14.If x/3 + 6 = 16, what is x? (a) 42 (b) 30 (c) 66 (d) 10
  15. 15.If 3x − 6 = 39, what is x? (a) 45 (b) 11 (c) 16 (d) 15
  16. 16.If 8x + 7 = x + 42, what is x? (a) 4 (b) 6 (c) 5 (d) 7
  17. 17.If 7x + 14 = 2x + 34, what is x? (a) 4 (b) 6 (c) 3 (d) 5
  18. 18.If 9x + 12 = 102, what is x? (a) 9 (b) 90 (c) 11 (d) 10
  19. 19.If 4x + 5 = 65, what is x? (a) 60 (b) 16 (c) 15 (d) 14
  20. 20.If 9x + 9 = x + 65, what is x? (a) 9 (b) 8 (c) 6 (d) 7
  21. 21.If 3x + 14 = 2x + 21, what is x? (a) 8 (b) 9 (c) 35 (d) 7
  22. 22.If 5x + 11 = 3x + 21, what is x? (a) 6 (b) 7 (c) 5 (d) 16
  23. 23.If 4x + 18 = 2x + 22, what is x? (a) 3 (b) 4 (c) 2 (d) 20
  24. 24.If 2x − 26 = 2, what is x? (a) 28 (b) 14 (c) 15 (d) 13
  25. 25.If x/3 + 13 = 24, what is x? (a) 59 (b) 111 (c) 33 (d) 11
  26. 26.If 7x + 10 = 52, what is x? (a) 6 (b) 42 (c) 7 (d) 5
  27. 27.If x/2 + 7 = 19, what is x? (a) 52 (b) 31 (c) 12 (d) 24
  28. 28.If 3x − 1 = 32, what is x? (a) 11 (b) 12 (c) 33 (d) 10
  29. 29.If 8x + 29 = 125, what is x? (a) 96 (b) 12 (c) 13 (d) 11
  30. 30.If 9x − 14 = 22, what is x? (a) 4 (b) 5 (c) 36 (d) 3
  31. 31.If 3x + 6 = 2x + 8, what is x? (a) 14 (b) 4 (c) 3 (d) 2
  32. 32.If 7x − 24 = 60, what is x? (a) 11 (b) 12 (c) 84 (d) 13
  33. 33.If 9x + 1 = 28, what is x? (a) 3 (b) 2 (c) 4 (d) 27
  34. 34.If 2x + 19 = 25, what is x? (a) 4 (b) 3 (c) 6 (d) 22
  35. 35.If 8x + 16 = 96, what is x? (a) 11 (b) 10 (c) 80 (d) 14
  36. 36.If 5x + 1 = x + 17, what is x? (a) 4 (b) 5 (c) 3 (d) 6
  37. 37.If 8x + 12 = 2x + 30, what is x? (a) 4 (b) 3 (c) 5 (d) 7
  38. 38.If 8x − 85 = 27, what is x? (a) 112 (b) 14 (c) 13 (d) 15
  39. 39.If 8x + 7 = 79, what is x? (a) 72 (b) 9 (c) 10 (d) 8
  40. 40.If x/6 + 14 = 25, what is x? (a) 11 (b) 234 (c) 66 (d) 136

Answer key

  1. 40
  2. 10
  3. 45
  4. 44
  5. 13
  6. 3
  7. 11
  8. 14
  9. 2
  10. 8
  11. 6
  12. 2
  13. 4
  14. 30
  15. 15
  16. 5
  17. 4
  18. 10
  19. 15
  20. 7
  21. 7
  22. 5
  23. 2
  24. 14
  25. 33
  26. 6
  27. 24
  28. 11
  29. 12
  30. 4
  31. 2
  32. 12
  33. 3
  34. 3
  35. 10
  36. 4
  37. 3
  38. 14
  39. 9
  40. 66

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