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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 465 · 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 + 13 = 4x + 31, what is x? (a) 7 (b) 6 (c) 8 (d) 5
  2. 2.If 5x − 2 = 23, what is x? (a) 25 (b) 6 (c) 5 (d) 4
  3. 3.If 5x + 12 = 57, what is x? (a) 9 (b) 8 (c) 10 (d) 45
  4. 4.If 9x + 3 = 4x + 28, what is x? (a) 6 (b) 4 (c) 7 (d) 5
  5. 5.If 6x + 23 = 41, what is x? (a) 3 (b) 2 (c) 18 (d) 4
  6. 6.If 3x + 29 = 50, what is x? (a) 21 (b) 6 (c) 7 (d) 8
  7. 7.If x/6 + 1 = 10, what is x? (a) 9 (b) 66 (c) 54 (d) 59
  8. 8.If x/3 + 1 = 9, what is x? (a) 8 (b) 24 (c) 30 (d) 26
  9. 9.If 8x − 57 = 23, what is x? (a) 11 (b) 10 (c) 80 (d) 9
  10. 10.If x/2 + 13 = 24, what is x? (a) 74 (b) 22 (c) 11 (d) 35
  11. 11.If 7x + 28 = 105, what is x? (a) 77 (b) 12 (c) 11 (d) 19
  12. 12.If 3x + 2 = 23, what is x? (a) 6 (b) 8 (c) 7 (d) 21
  13. 13.If x/4 + 3 = 13, what is x? (a) 10 (b) 40 (c) 64 (d) 49
  14. 14.If 6x + 2 = 14, what is x? (a) 1 (b) 3 (c) 12 (d) 2
  15. 15.If 7x + 17 = 31, what is x? (a) 14 (b) 2 (c) 1 (d) 3
  16. 16.If 4x + 14 = 30, what is x? (a) 16 (b) 11 (c) 5 (d) 4
  17. 17.If x/4 + 14 = 22, what is x? (a) 144 (b) 32 (c) 74 (d) 8
  18. 18.If 3x + 9 = 45, what is x? (a) 36 (b) 13 (c) 18 (d) 12
  19. 19.If x/3 + 2 = 8, what is x? (a) 6 (b) 30 (c) 22 (d) 18
  20. 20.If 9x + 26 = 89, what is x? (a) 63 (b) 8 (c) 7 (d) 6
  21. 21.If x/3 + 7 = 10, what is x? (a) 9 (b) 51 (c) 23 (d) 3
  22. 22.If x/3 + 2 = 13, what is x? (a) 45 (b) 33 (c) 11 (d) 37
  23. 23.If 6x − 36 = 36, what is x? (a) 72 (b) 13 (c) 11 (d) 12
  24. 24.If x/5 + 1 = 6, what is x? (a) 35 (b) 29 (c) 25 (d) 5
  25. 25.If x/6 + 12 = 15, what is x? (a) 162 (b) 18 (c) 3 (d) 78
  26. 26.If 8x + 3 = 27, what is x? (a) 2 (b) 3 (c) 24 (d) 4
  27. 27.If 5x + 19 = 4x + 23, what is x? (a) 6 (b) 4 (c) 42 (d) 5
  28. 28.If 6x − 44 = 22, what is x? (a) 12 (b) 11 (c) 10 (d) 66
  29. 29.If 7x − 30 = 61, what is x? (a) 13 (b) 12 (c) 91 (d) 14
  30. 30.If 4x − 7 = 5, what is x? (a) 2 (b) 12 (c) 4 (d) 3
  31. 31.If x/2 + 2 = 10, what is x? (a) 24 (b) 8 (c) 18 (d) 16
  32. 32.If 8x + 5 = 69, what is x? (a) 8 (b) 64 (c) 9 (d) 7
  33. 33.If 9x − 2 = 25, what is x? (a) 2 (b) 3 (c) 27 (d) 4
  34. 34.If 3x + 8 = x + 28, what is x? (a) 18 (b) 10 (c) 5 (d) 11
  35. 35.If 6x + 7 = 37, what is x? (a) 4 (b) 6 (c) 5 (d) 30
  36. 36.If 6x + 19 = 4x + 35, what is x? (a) 27 (b) 9 (c) 10 (d) 8
  37. 37.If 3x − 11 = 31, what is x? (a) 14 (b) 15 (c) 42 (d) 13
  38. 38.If 2x − 3 = 15, what is x? (a) 6 (b) 10 (c) 9 (d) 18
  39. 39.If x/2 + 3 = 12, what is x? (a) 18 (b) 30 (c) 9 (d) 21
  40. 40.If 5x + 20 = 70, what is x? (a) 18 (b) 10 (c) 11 (d) 50

Answer key

  1. 6
  2. 5
  3. 9
  4. 5
  5. 3
  6. 7
  7. 54
  8. 24
  9. 10
  10. 22
  11. 11
  12. 7
  13. 40
  14. 2
  15. 2
  16. 4
  17. 32
  18. 12
  19. 18
  20. 7
  21. 9
  22. 33
  23. 12
  24. 25
  25. 18
  26. 3
  27. 4
  28. 11
  29. 13
  30. 3
  31. 16
  32. 8
  33. 3
  34. 10
  35. 5
  36. 8
  37. 14
  38. 9
  39. 18
  40. 10

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