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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 35 · 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 + 17 = 45, what is x? (a) 5 (b) 3 (c) 28 (d) 4
  2. 2.If x/3 + 5 = 15, what is x? (a) 10 (b) 40 (c) 60 (d) 30
  3. 3.If 3x + 9 = 2x + 16, what is x? (a) 8 (b) 7 (c) 9 (d) 25
  4. 4.If 8x + 15 = 63, what is x? (a) 6 (b) 7 (c) 48 (d) 5
  5. 5.If 5x + 14 = x + 54, what is x? (a) 11 (b) 12 (c) 10 (d) 17
  6. 6.If 5x + 23 = 58, what is x? (a) 7 (b) 35 (c) 8 (d) 6
  7. 7.If x/4 + 10 = 14, what is x? (a) 4 (b) 96 (c) 46 (d) 16
  8. 8.If 8x + 30 = 78, what is x? (a) 7 (b) 5 (c) 48 (d) 6
  9. 9.If x/2 + 10 = 19, what is x? (a) 58 (b) 9 (c) 28 (d) 18
  10. 10.If 6x − 12 = 72, what is x? (a) 10 (b) 84 (c) 15 (d) 14
  11. 11.If 4x + 26 = 58, what is x? (a) 9 (b) 21 (c) 8 (d) 32
  12. 12.If x/6 + 14 = 17, what is x? (a) 18 (b) 3 (c) 186 (d) 88
  13. 13.If 3x + 21 = 51, what is x? (a) 24 (b) 30 (c) 11 (d) 10
  14. 14.If 6x + 10 = 4x + 34, what is x? (a) 14 (b) 13 (c) 12 (d) 22
  15. 15.If 9x + 16 = 106, what is x? (a) 9 (b) 11 (c) 90 (d) 10
  16. 16.If 7x + 28 = 63, what is x? (a) 5 (b) 35 (c) 13 (d) 6
  17. 17.If 5x + 15 = 70, what is x? (a) 17 (b) 12 (c) 55 (d) 11
  18. 18.If 6x − 7 = 11, what is x? (a) 3 (b) 4 (c) 2 (d) 18
  19. 19.If 9x − 31 = 32, what is x? (a) 63 (b) 6 (c) 7 (d) 8
  20. 20.If x/3 + 9 = 16, what is x? (a) 21 (b) 75 (c) 39 (d) 7
  21. 21.If 6x + 1 = 25, what is x? (a) 4 (b) 3 (c) 5 (d) 24
  22. 22.If 7x + 29 = 43, what is x? (a) 14 (b) 3 (c) 1 (d) 2
  23. 23.If x/5 + 5 = 10, what is x? (a) 25 (b) 45 (c) 75 (d) 5
  24. 24.If x/3 + 8 = 16, what is x? (a) 8 (b) 72 (c) 40 (d) 24
  25. 25.If 8x − 9 = 7, what is x? (a) 3 (b) 16 (c) 2 (d) 1
  26. 26.If 5x + 10 = 65, what is x? (a) 12 (b) 15 (c) 55 (d) 11
  27. 27.If 2x − 8 = 8, what is x? (a) 7 (b) 16 (c) 8 (d) 9
  28. 28.If 2x + 26 = 40, what is x? (a) 8 (b) 7 (c) 14 (d) 33
  29. 29.If 7x − 12 = 65, what is x? (a) 77 (b) 11 (c) 10 (d) 12
  30. 30.If x/4 + 5 = 7, what is x? (a) 2 (b) 8 (c) 48 (d) 23
  31. 31.If 9x + 20 = x + 116, what is x? (a) 12 (b) 17 (c) 13 (d) 14
  32. 32.If 7x + 5 = 75, what is x? (a) 11 (b) 70 (c) 9 (d) 10
  33. 33.If x/5 + 2 = 9, what is x? (a) 35 (b) 43 (c) 7 (d) 55
  34. 34.If 9x + 18 = 8x + 23, what is x? (a) 41 (b) 7 (c) 6 (d) 5
  35. 35.If 8x + 25 = 73, what is x? (a) 48 (b) 5 (c) 6 (d) 7
  36. 36.If 5x + 15 = 2x + 39, what is x? (a) 10 (b) 8 (c) 18 (d) 9
  37. 37.If 7x + 23 = 51, what is x? (a) 3 (b) 5 (c) 4 (d) 28
  38. 38.If x/2 + 10 = 21, what is x? (a) 62 (b) 11 (c) 32 (d) 22
  39. 39.If 6x − 9 = 27, what is x? (a) 7 (b) 3 (c) 36 (d) 6
  40. 40.If x/3 + 10 = 12, what is x? (a) 26 (b) 6 (c) 2 (d) 66

Answer key

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

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