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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 781 · 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) 4 (b) 3 (c) 28 (d) 5
  2. 2.If 6x + 5 = 59, what is x? (a) 10 (b) 54 (c) 8 (d) 9
  3. 3.If 7x + 24 = 87, what is x? (a) 8 (b) 9 (c) 10 (d) 63
  4. 4.If 3x + 4 = x + 10, what is x? (a) 4 (b) 7 (c) 5 (d) 3
  5. 5.If 8x − 3 = 13, what is x? (a) 2 (b) 3 (c) 1 (d) 16
  6. 6.If x/3 + 6 = 8, what is x? (a) 18 (b) 42 (c) 6 (d) 2
  7. 7.If x/4 + 11 = 15, what is x? (a) 16 (b) 104 (c) 49 (d) 4
  8. 8.If 7x + 23 = 37, what is x? (a) 3 (b) 2 (c) 1 (d) 14
  9. 9.If 7x − 32 = 31, what is x? (a) 10 (b) 8 (c) 63 (d) 9
  10. 10.If 9x + 5 = 4x + 20, what is x? (a) 2 (b) 3 (c) 4 (d) 5
  11. 11.If 6x − 2 = 82, what is x? (a) 13 (b) 14 (c) 84 (d) 15
  12. 12.If 3x + 3 = x + 5, what is x? (a) 4 (b) 1 (c) 2 (d) 3
  13. 13.If 7x + 7 = 77, what is x? (a) 12 (b) 10 (c) 11 (d) 70
  14. 14.If x/6 + 5 = 9, what is x? (a) 24 (b) 84 (c) 4 (d) 49
  15. 15.If 4x + 17 = 3x + 20, what is x? (a) 3 (b) 37 (c) 5 (d) 4
  16. 16.If 7x + 5 = 2x + 20, what is x? (a) 4 (b) 5 (c) 3 (d) 2
  17. 17.If 9x + 2 = 38, what is x? (a) 36 (b) 5 (c) 4 (d) 3
  18. 18.If x/4 + 14 = 21, what is x? (a) 7 (b) 28 (c) 70 (d) 140
  19. 19.If x/6 + 14 = 22, what is x? (a) 48 (b) 216 (c) 118 (d) 8
  20. 20.If 9x − 28 = 80, what is x? (a) 108 (b) 11 (c) 13 (d) 12
  21. 21.If 9x − 31 = 104, what is x? (a) 16 (b) 14 (c) 135 (d) 15
  22. 22.If 2x + 7 = 33, what is x? (a) 20 (b) 14 (c) 13 (d) 26
  23. 23.If x/4 + 12 = 16, what is x? (a) 112 (b) 16 (c) 52 (d) 4
  24. 24.If x/2 + 12 = 23, what is x? (a) 70 (b) 22 (c) 34 (d) 11
  25. 25.If x/4 + 1 = 12, what is x? (a) 44 (b) 47 (c) 11 (d) 52
  26. 26.If 8x − 8 = 32, what is x? (a) 3 (b) 6 (c) 5 (d) 40
  27. 27.If 4x + 18 = 2x + 40, what is x? (a) 12 (b) 29 (c) 13 (d) 11
  28. 28.If x/6 + 6 = 9, what is x? (a) 90 (b) 3 (c) 48 (d) 18
  29. 29.If 6x − 4 = 14, what is x? (a) 3 (b) 18 (c) 4 (d) 2
  30. 30.If 5x − 54 = 16, what is x? (a) 70 (b) 13 (c) 14 (d) 15
  31. 31.If 4x − 2 = 34, what is x? (a) 36 (b) 10 (c) 9 (d) 8
  32. 32.If 7x + 2 = 4x + 29, what is x? (a) 11 (b) 8 (c) 10 (d) 9
  33. 33.If x/3 + 5 = 10, what is x? (a) 5 (b) 15 (c) 45 (d) 25
  34. 34.If 5x − 5 = 5, what is x? (a) 3 (b) 1 (c) 2 (d) 10
  35. 35.If 2x + 2 = 26, what is x? (a) 13 (b) 24 (c) 12 (d) 14
  36. 36.If x/6 + 3 = 10, what is x? (a) 7 (b) 57 (c) 78 (d) 42
  37. 37.If x/2 + 4 = 15, what is x? (a) 22 (b) 11 (c) 26 (d) 38
  38. 38.If 8x − 9 = 31, what is x? (a) 6 (b) 4 (c) 40 (d) 5
  39. 39.If 5x − 51 = 14, what is x? (a) 14 (b) 12 (c) 13 (d) 65
  40. 40.If 5x + 2 = 37, what is x? (a) 8 (b) 35 (c) 7 (d) 6

Answer key

  1. 4
  2. 9
  3. 9
  4. 3
  5. 2
  6. 6
  7. 16
  8. 2
  9. 9
  10. 3
  11. 14
  12. 1
  13. 10
  14. 24
  15. 3
  16. 3
  17. 4
  18. 28
  19. 48
  20. 12
  21. 15
  22. 13
  23. 16
  24. 22
  25. 44
  26. 5
  27. 11
  28. 18
  29. 3
  30. 14
  31. 9
  32. 9
  33. 15
  34. 2
  35. 12
  36. 42
  37. 22
  38. 5
  39. 13
  40. 7

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