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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 806 · 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 5x + 12 = 3x + 34, what is x? (a) 23 (b) 11 (c) 13 (d) 12
  2. 2.If 6x − 23 = 7, what is x? (a) 4 (b) 30 (c) 6 (d) 5
  3. 3.If 5x − 5 = 5, what is x? (a) 3 (b) 2 (c) 1 (d) 10
  4. 4.If 5x + 27 = 97, what is x? (a) 70 (b) 15 (c) 13 (d) 14
  5. 5.If 5x − 14 = 41, what is x? (a) 10 (b) 55 (c) 12 (d) 11
  6. 6.If 3x + 14 = 2x + 20, what is x? (a) 6 (b) 8 (c) 7 (d) 34
  7. 7.If 9x − 36 = 72, what is x? (a) 4 (b) 13 (c) 12 (d) 108
  8. 8.If 7x − 28 = 14, what is x? (a) 42 (b) 7 (c) 6 (d) 5
  9. 9.If 2x − 9 = 21, what is x? (a) 16 (b) 15 (c) 30 (d) 6
  10. 10.If x/3 + 15 = 17, what is x? (a) 6 (b) 96 (c) 2 (d) 36
  11. 11.If 5x + 17 = x + 57, what is x? (a) 11 (b) 12 (c) 10 (d) 9
  12. 12.If 9x + 10 = 3x + 70, what is x? (a) 5 (b) 12 (c) 11 (d) 10
  13. 13.If x/2 + 10 = 13, what is x? (a) 46 (b) 6 (c) 16 (d) 3
  14. 14.If x/4 + 2 = 6, what is x? (a) 22 (b) 4 (c) 16 (d) 32
  15. 15.If 7x − 84 = 7, what is x? (a) 12 (b) 14 (c) 91 (d) 13
  16. 16.If 6x + 9 = 81, what is x? (a) 12 (b) 72 (c) 15 (d) 13
  17. 17.If 3x + 25 = 46, what is x? (a) 6 (b) 21 (c) 7 (d) 8
  18. 18.If 7x + 9 = 86, what is x? (a) 77 (b) 11 (c) 12 (d) 10
  19. 19.If 2x − 2 = 14, what is x? (a) 9 (b) 8 (c) 16 (d) 6
  20. 20.If 6x + 17 = 2x + 61, what is x? (a) 13 (b) 11 (c) 12 (d) 10
  21. 21.If 5x − 1 = 34, what is x? (a) 8 (b) 7 (c) 6 (d) 35
  22. 22.If 5x + 15 = 60, what is x? (a) 45 (b) 9 (c) 10 (d) 15
  23. 23.If x/5 + 6 = 8, what is x? (a) 2 (b) 70 (c) 10 (d) 34
  24. 24.If x/6 + 7 = 15, what is x? (a) 83 (b) 132 (c) 48 (d) 8
  25. 25.If 7x + 5 = 47, what is x? (a) 42 (b) 7 (c) 6 (d) 5
  26. 26.If 8x + 28 = 100, what is x? (a) 72 (b) 16 (c) 9 (d) 10
  27. 27.If 7x + 15 = 113, what is x? (a) 15 (b) 14 (c) 13 (d) 98
  28. 28.If 9x + 7 = 3x + 67, what is x? (a) 11 (b) 10 (c) 5 (d) 12
  29. 29.If 9x − 93 = 15, what is x? (a) 108 (b) 12 (c) 13 (d) 11
  30. 30.If x/3 + 6 = 17, what is x? (a) 45 (b) 11 (c) 69 (d) 33
  31. 31.If 7x + 1 = 64, what is x? (a) 9 (b) 63 (c) 8 (d) 10
  32. 32.If x/4 + 6 = 8, what is x? (a) 2 (b) 56 (c) 26 (d) 8
  33. 33.If 2x − 1 = 29, what is x? (a) 16 (b) 15 (c) 14 (d) 30
  34. 34.If 6x + 6 = 60, what is x? (a) 54 (b) 11 (c) 9 (d) 10
  35. 35.If x/6 + 5 = 9, what is x? (a) 49 (b) 4 (c) 24 (d) 84
  36. 36.If x/6 + 4 = 13, what is x? (a) 102 (b) 74 (c) 54 (d) 9
  37. 37.If x/4 + 10 = 22, what is x? (a) 48 (b) 12 (c) 78 (d) 128
  38. 38.If x/5 + 9 = 20, what is x? (a) 55 (b) 91 (c) 11 (d) 145
  39. 39.If x/5 + 11 = 23, what is x? (a) 170 (b) 12 (c) 104 (d) 60
  40. 40.If x/2 + 4 = 10, what is x? (a) 28 (b) 12 (c) 6 (d) 16

Answer key

  1. 11
  2. 5
  3. 2
  4. 14
  5. 11
  6. 6
  7. 12
  8. 6
  9. 15
  10. 6
  11. 10
  12. 10
  13. 6
  14. 16
  15. 13
  16. 12
  17. 7
  18. 11
  19. 8
  20. 11
  21. 7
  22. 9
  23. 10
  24. 48
  25. 6
  26. 9
  27. 14
  28. 10
  29. 12
  30. 33
  31. 9
  32. 8
  33. 15
  34. 9
  35. 24
  36. 54
  37. 48
  38. 55
  39. 60
  40. 12

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