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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 414 · 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/6 + 2 = 13, what is x? (a) 76 (b) 66 (c) 11 (d) 90
  2. 2.If x/2 + 4 = 15, what is x? (a) 26 (b) 38 (c) 22 (d) 11
  3. 3.If x/4 + 12 = 20, what is x? (a) 68 (b) 128 (c) 32 (d) 8
  4. 4.If 4x − 10 = 26, what is x? (a) 9 (b) 10 (c) 4 (d) 36
  5. 5.If x/6 + 14 = 25, what is x? (a) 66 (b) 234 (c) 136 (d) 11
  6. 6.If 2x − 1 = 3, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  7. 7.If 9x + 11 = 3x + 83, what is x? (a) 13 (b) 14 (c) 12 (d) 6
  8. 8.If 7x − 18 = 38, what is x? (a) 9 (b) 56 (c) 7 (d) 8
  9. 9.If 7x + 18 = 88, what is x? (a) 70 (b) 11 (c) 9 (d) 10
  10. 10.If 4x + 1 = x + 22, what is x? (a) 8 (b) 7 (c) 6 (d) 9
  11. 11.If 8x + 6 = 4x + 18, what is x? (a) 6 (b) 3 (c) 4 (d) 1
  12. 12.If x/5 + 13 = 19, what is x? (a) 6 (b) 82 (c) 160 (d) 30
  13. 13.If x/5 + 15 = 21, what is x? (a) 30 (b) 90 (c) 6 (d) 180
  14. 14.If 5x − 17 = 33, what is x? (a) 11 (b) 50 (c) 10 (d) 9
  15. 15.If 8x + 19 = 3x + 64, what is x? (a) 8 (b) 10 (c) 11 (d) 9
  16. 16.If 5x + 25 = 65, what is x? (a) 8 (b) 40 (c) 9 (d) 18
  17. 17.If 5x + 6 = 51, what is x? (a) 10 (b) 45 (c) 9 (d) 8
  18. 18.If 4x + 19 = 3x + 30, what is x? (a) 12 (b) 49 (c) 13 (d) 11
  19. 19.If 7x − 103 = 2, what is x? (a) 16 (b) 15 (c) 105 (d) 14
  20. 20.If x/6 + 14 = 16, what is x? (a) 180 (b) 82 (c) 2 (d) 12
  21. 21.If x/3 + 4 = 8, what is x? (a) 4 (b) 36 (c) 12 (d) 20
  22. 22.If 6x − 1 = 47, what is x? (a) 8 (b) 7 (c) 48 (d) 9
  23. 23.If 6x + 25 = 97, what is x? (a) 72 (b) 13 (c) 12 (d) 11
  24. 24.If x/2 + 14 = 24, what is x? (a) 34 (b) 20 (c) 76 (d) 10
  25. 25.If x/5 + 10 = 15, what is x? (a) 5 (b) 125 (c) 65 (d) 25
  26. 26.If 9x − 49 = 23, what is x? (a) 8 (b) 72 (c) 9 (d) 7
  27. 27.If 8x + 14 = 7x + 18, what is x? (a) 5 (b) 32 (c) 6 (d) 4
  28. 28.If 7x − 35 = 56, what is x? (a) 91 (b) 13 (c) 14 (d) 3
  29. 29.If 8x − 46 = 2, what is x? (a) 5 (b) 6 (c) 7 (d) 48
  30. 30.If x/3 + 11 = 21, what is x? (a) 10 (b) 30 (c) 52 (d) 96
  31. 31.If 4x + 6 = 3x + 13, what is x? (a) 8 (b) 19 (c) 7 (d) 1
  32. 32.If x/4 + 9 = 12, what is x? (a) 84 (b) 3 (c) 39 (d) 12
  33. 33.If 9x + 15 = 51, what is x? (a) 4 (b) 5 (c) 36 (d) 3
  34. 34.If 7x − 81 = 17, what is x? (a) 98 (b) 14 (c) 15 (d) 13
  35. 35.If 7x + 22 = 99, what is x? (a) 11 (b) 12 (c) 77 (d) 10
  36. 36.If 7x + 16 = 5x + 34, what is x? (a) 10 (b) 11 (c) 25 (d) 9
  37. 37.If x/2 + 3 = 13, what is x? (a) 23 (b) 20 (c) 10 (d) 32
  38. 38.If 5x − 39 = 6, what is x? (a) 45 (b) 10 (c) 9 (d) 8
  39. 39.If 7x − 3 = 53, what is x? (a) 9 (b) 7 (c) 8 (d) 56
  40. 40.If 7x + 10 = x + 70, what is x? (a) 9 (b) 11 (c) 10 (d) 12

Answer key

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

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