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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 101 · 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/2 + 9 = 19, what is x? (a) 29 (b) 20 (c) 10 (d) 56
  2. 2.If 5x + 14 = 59, what is x? (a) 8 (b) 10 (c) 9 (d) 45
  3. 3.If 5x + 20 = 40, what is x? (a) 12 (b) 20 (c) 4 (d) 5
  4. 4.If 9x + 4 = 94, what is x? (a) 11 (b) 90 (c) 9 (d) 10
  5. 5.If 9x + 24 = 51, what is x? (a) 4 (b) 2 (c) 3 (d) 27
  6. 6.If x/4 + 8 = 16, what is x? (a) 96 (b) 56 (c) 8 (d) 32
  7. 7.If 7x + 4 = 3x + 48, what is x? (a) 10 (b) 12 (c) 13 (d) 11
  8. 8.If x/4 + 3 = 7, what is x? (a) 16 (b) 4 (c) 25 (d) 40
  9. 9.If 9x + 28 = 82, what is x? (a) 5 (b) 6 (c) 54 (d) 7
  10. 10.If 4x + 9 = 3x + 19, what is x? (a) 12 (b) 11 (c) 28 (d) 10
  11. 11.If 9x + 20 = 101, what is x? (a) 10 (b) 8 (c) 81 (d) 9
  12. 12.If 3x + 8 = 44, what is x? (a) 12 (b) 13 (c) 36 (d) 11
  13. 13.If 8x + 1 = 5x + 10, what is x? (a) 2 (b) 4 (c) 5 (d) 3
  14. 14.If 9x + 1 = 136, what is x? (a) 15 (b) 16 (c) 135 (d) 14
  15. 15.If 5x + 19 = 94, what is x? (a) 14 (b) 75 (c) 15 (d) 16
  16. 16.If x/2 + 4 = 8, what is x? (a) 12 (b) 4 (c) 24 (d) 8
  17. 17.If 5x + 7 = 22, what is x? (a) 2 (b) 15 (c) 3 (d) 4
  18. 18.If 8x + 16 = 120, what is x? (a) 104 (b) 14 (c) 17 (d) 13
  19. 19.If x/5 + 9 = 21, what is x? (a) 96 (b) 150 (c) 12 (d) 60
  20. 20.If 9x − 51 = 30, what is x? (a) 8 (b) 10 (c) 81 (d) 9
  21. 21.If 6x − 14 = 22, what is x? (a) 6 (b) 36 (c) 7 (d) 5
  22. 22.If 8x − 5 = 11, what is x? (a) 1 (b) 3 (c) 16 (d) 2
  23. 23.If x/6 + 2 = 11, what is x? (a) 78 (b) 54 (c) 9 (d) 64
  24. 24.If 8x + 7 = 3x + 22, what is x? (a) 3 (b) 2 (c) 5 (d) 4
  25. 25.If 4x + 30 = 90, what is x? (a) 60 (b) 30 (c) 15 (d) 16
  26. 26.If 3x + 19 = x + 37, what is x? (a) 28 (b) 11 (c) 9 (d) 10
  27. 27.If x/2 + 3 = 7, what is x? (a) 20 (b) 8 (c) 4 (d) 11
  28. 28.If 3x + 28 = 61, what is x? (a) 10 (b) 11 (c) 33 (d) 12
  29. 29.If 3x + 19 = 25, what is x? (a) 3 (b) 1 (c) 6 (d) 2
  30. 30.If 5x + 19 = 79, what is x? (a) 11 (b) 13 (c) 12 (d) 60
  31. 31.If 6x + 2 = 4x + 4, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  32. 32.If 4x + 10 = 38, what is x? (a) 8 (b) 12 (c) 7 (d) 28
  33. 33.If 2x − 10 = 2, what is x? (a) 6 (b) 12 (c) 5 (d) 7
  34. 34.If 4x + 30 = 82, what is x? (a) 28 (b) 13 (c) 14 (d) 52
  35. 35.If 6x − 34 = 14, what is x? (a) 8 (b) 48 (c) 9 (d) 7
  36. 36.If 6x + 3 = 39, what is x? (a) 7 (b) 36 (c) 5 (d) 6
  37. 37.If x/5 + 5 = 8, what is x? (a) 15 (b) 65 (c) 35 (d) 3
  38. 38.If 6x + 4 = 2x + 8, what is x? (a) 2 (b) 1 (c) 4 (d) 3
  39. 39.If x/3 + 6 = 17, what is x? (a) 69 (b) 33 (c) 11 (d) 45
  40. 40.If 7x + 9 = x + 81, what is x? (a) 15 (b) 13 (c) 9 (d) 12

Answer key

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

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