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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 345 · 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 + 7 = 9, what is x? (a) 32 (b) 2 (c) 11 (d) 4
  2. 2.If 2x − 10 = 4, what is x? (a) 14 (b) 6 (c) 7 (d) 8
  3. 3.If 3x + 3 = 30, what is x? (a) 27 (b) 10 (c) 9 (d) 11
  4. 4.If 3x − 5 = 31, what is x? (a) 36 (b) 13 (c) 11 (d) 12
  5. 5.If 7x − 13 = 22, what is x? (a) 6 (b) 4 (c) 5 (d) 35
  6. 6.If 8x + 20 = 7x + 22, what is x? (a) 4 (b) 42 (c) 2 (d) 3
  7. 7.If 3x + 1 = 2x + 4, what is x? (a) 2 (b) 5 (c) 3 (d) 4
  8. 8.If 8x + 13 = 53, what is x? (a) 40 (b) 6 (c) 5 (d) 4
  9. 9.If x/2 + 13 = 15, what is x? (a) 56 (b) 2 (c) 17 (d) 4
  10. 10.If x/2 + 5 = 13, what is x? (a) 21 (b) 36 (c) 16 (d) 8
  11. 11.If 8x + 6 = 5x + 36, what is x? (a) 11 (b) 12 (c) 10 (d) 14
  12. 12.If 5x − 37 = 28, what is x? (a) 65 (b) 12 (c) 14 (d) 13
  13. 13.If 9x + 22 = 94, what is x? (a) 8 (b) 7 (c) 9 (d) 72
  14. 14.If 4x − 45 = 11, what is x? (a) 13 (b) 56 (c) 15 (d) 14
  15. 15.If 8x + 5 = x + 19, what is x? (a) 4 (b) 1 (c) 3 (d) 2
  16. 16.If 8x − 24 = 64, what is x? (a) 5 (b) 88 (c) 12 (d) 11
  17. 17.If 7x + 6 = 20, what is x? (a) 3 (b) 2 (c) 14 (d) 1
  18. 18.If 7x − 16 = 40, what is x? (a) 7 (b) 9 (c) 56 (d) 8
  19. 19.If 2x + 14 = 36, what is x? (a) 11 (b) 25 (c) 22 (d) 12
  20. 20.If x/5 + 12 = 17, what is x? (a) 73 (b) 5 (c) 145 (d) 25
  21. 21.If x/2 + 5 = 7, what is x? (a) 24 (b) 2 (c) 9 (d) 4
  22. 22.If x/3 + 9 = 12, what is x? (a) 27 (b) 3 (c) 9 (d) 63
  23. 23.If x/3 + 2 = 11, what is x? (a) 9 (b) 31 (c) 27 (d) 39
  24. 24.If 3x + 13 = 2x + 20, what is x? (a) 7 (b) 8 (c) 33 (d) 9
  25. 25.If x/5 + 4 = 14, what is x? (a) 10 (b) 66 (c) 90 (d) 50
  26. 26.If 6x + 9 = 3x + 21, what is x? (a) 5 (b) 10 (c) 4 (d) 6
  27. 27.If x/4 + 8 = 13, what is x? (a) 5 (b) 20 (c) 84 (d) 44
  28. 28.If 9x + 21 = 93, what is x? (a) 72 (b) 8 (c) 9 (d) 7
  29. 29.If 9x + 22 = 67, what is x? (a) 4 (b) 5 (c) 6 (d) 45
  30. 30.If x/3 + 6 = 13, what is x? (a) 57 (b) 7 (c) 21 (d) 33
  31. 31.If x/5 + 11 = 20, what is x? (a) 9 (b) 89 (c) 155 (d) 45
  32. 32.If 8x − 112 = 8, what is x? (a) 15 (b) 16 (c) 120 (d) 14
  33. 33.If 5x + 12 = x + 40, what is x? (a) 13 (b) 8 (c) 9 (d) 7
  34. 34.If 5x + 8 = 3x + 16, what is x? (a) 4 (b) 12 (c) 5 (d) 1
  35. 35.If 2x − 11 = 15, what is x? (a) 2 (b) 13 (c) 14 (d) 26
  36. 36.If 6x + 20 = 3x + 29, what is x? (a) 4 (b) 3 (c) 5 (d) 1
  37. 37.If x/4 + 8 = 15, what is x? (a) 7 (b) 52 (c) 92 (d) 28
  38. 38.If 3x + 14 = x + 38, what is x? (a) 13 (b) 6 (c) 12 (d) 26
  39. 39.If x/4 + 5 = 16, what is x? (a) 59 (b) 84 (c) 11 (d) 44
  40. 40.If 6x + 9 = 5x + 12, what is x? (a) 5 (b) 3 (c) 4 (d) 21

Answer key

  1. 4
  2. 7
  3. 9
  4. 12
  5. 5
  6. 2
  7. 3
  8. 5
  9. 4
  10. 16
  11. 10
  12. 13
  13. 8
  14. 14
  15. 2
  16. 11
  17. 2
  18. 8
  19. 11
  20. 25
  21. 4
  22. 9
  23. 27
  24. 7
  25. 50
  26. 4
  27. 20
  28. 8
  29. 5
  30. 21
  31. 45
  32. 15
  33. 7
  34. 4
  35. 13
  36. 3
  37. 28
  38. 12
  39. 44
  40. 3

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