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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 609 · 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 4x + 4 = 2x + 28, what is x? (a) 16 (b) 12 (c) 4 (d) 13
  2. 2.If 5x + 26 = 71, what is x? (a) 45 (b) 8 (c) 9 (d) 10
  3. 3.If 5x + 27 = 87, what is x? (a) 13 (b) 11 (c) 12 (d) 60
  4. 4.If 4x + 23 = 67, what is x? (a) 11 (b) 10 (c) 44 (d) 12
  5. 5.If x/2 + 3 = 15, what is x? (a) 36 (b) 12 (c) 27 (d) 24
  6. 6.If 4x + 19 = 2x + 33, what is x? (a) 7 (b) 26 (c) 9 (d) 8
  7. 7.If 9x + 1 = 37, what is x? (a) 5 (b) 4 (c) 3 (d) 36
  8. 8.If 3x − 17 = 7, what is x? (a) 9 (b) 8 (c) 7 (d) 24
  9. 9.If 8x + 7 = 111, what is x? (a) 12 (b) 104 (c) 13 (d) 14
  10. 10.If 9x + 9 = 6x + 21, what is x? (a) 5 (b) 4 (c) 10 (d) 6
  11. 11.If 9x − 79 = 20, what is x? (a) 99 (b) 10 (c) 11 (d) 12
  12. 12.If x/6 + 7 = 9, what is x? (a) 2 (b) 47 (c) 12 (d) 96
  13. 13.If 2x + 1 = 29, what is x? (a) 28 (b) 14 (c) 13 (d) 15
  14. 14.If 5x + 2 = 2x + 38, what is x? (a) 13 (b) 11 (c) 12 (d) 14
  15. 15.If 5x + 12 = 72, what is x? (a) 60 (b) 11 (c) 13 (d) 12
  16. 16.If 8x − 30 = 42, what is x? (a) 72 (b) 9 (c) 8 (d) 10
  17. 17.If 5x + 15 = 2x + 48, what is x? (a) 13 (b) 11 (c) 12 (d) 21
  18. 18.If 7x + 4 = 67, what is x? (a) 8 (b) 10 (c) 9 (d) 63
  19. 19.If x/3 + 9 = 13, what is x? (a) 66 (b) 30 (c) 12 (d) 4
  20. 20.If 9x − 5 = 130, what is x? (a) 16 (b) 135 (c) 14 (d) 15
  21. 21.If 3x + 11 = x + 15, what is x? (a) 2 (b) 1 (c) 13 (d) 3
  22. 22.If 9x + 19 = 82, what is x? (a) 8 (b) 7 (c) 6 (d) 63
  23. 23.If 5x + 17 = 2x + 41, what is x? (a) 9 (b) 8 (c) 7 (d) 10
  24. 24.If 7x − 31 = 39, what is x? (a) 70 (b) 9 (c) 10 (d) 11
  25. 25.If 5x + 13 = 88, what is x? (a) 16 (b) 75 (c) 15 (d) 14
  26. 26.If x/5 + 4 = 13, what is x? (a) 61 (b) 85 (c) 45 (d) 9
  27. 27.If 3x + 16 = x + 32, what is x? (a) 9 (b) 4 (c) 24 (d) 8
  28. 28.If x/5 + 15 = 20, what is x? (a) 85 (b) 175 (c) 5 (d) 25
  29. 29.If 9x − 33 = 48, what is x? (a) 81 (b) 9 (c) 10 (d) 8
  30. 30.If 8x + 2 = 2x + 26, what is x? (a) 3 (b) 6 (c) 4 (d) 5
  31. 31.If 9x − 66 = 42, what is x? (a) 108 (b) 11 (c) 12 (d) 13
  32. 32.If 7x + 20 = 5x + 28, what is x? (a) 5 (b) 6 (c) 24 (d) 4
  33. 33.If 8x + 3 = 5x + 12, what is x? (a) 3 (b) 5 (c) 2 (d) 4
  34. 34.If 4x + 24 = 56, what is x? (a) 9 (b) 8 (c) 20 (d) 32
  35. 35.If 5x + 30 = 75, what is x? (a) 10 (b) 21 (c) 9 (d) 45
  36. 36.If 2x − 15 = 13, what is x? (a) 14 (b) 15 (c) 28 (d) 13
  37. 37.If x/6 + 7 = 17, what is x? (a) 10 (b) 144 (c) 95 (d) 60
  38. 38.If x/6 + 14 = 24, what is x? (a) 228 (b) 60 (c) 10 (d) 130
  39. 39.If x/6 + 7 = 16, what is x? (a) 138 (b) 54 (c) 89 (d) 9
  40. 40.If 8x + 9 = 3x + 39, what is x? (a) 8 (b) 7 (c) 6 (d) 5

Answer key

  1. 12
  2. 9
  3. 12
  4. 11
  5. 24
  6. 7
  7. 4
  8. 8
  9. 13
  10. 4
  11. 11
  12. 12
  13. 14
  14. 12
  15. 12
  16. 9
  17. 11
  18. 9
  19. 12
  20. 15
  21. 2
  22. 7
  23. 8
  24. 10
  25. 15
  26. 45
  27. 8
  28. 25
  29. 9
  30. 4
  31. 12
  32. 4
  33. 3
  34. 8
  35. 9
  36. 14
  37. 60
  38. 60
  39. 54
  40. 6

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