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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 197 · 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 9x + 6 = 87, what is x? (a) 9 (b) 8 (c) 10 (d) 81
  2. 2.If x/3 + 15 = 17, what is x? (a) 2 (b) 96 (c) 6 (d) 36
  3. 3.If x/6 + 2 = 6, what is x? (a) 48 (b) 4 (c) 24 (d) 34
  4. 4.If x/4 + 4 = 13, what is x? (a) 48 (b) 68 (c) 9 (d) 36
  5. 5.If 9x + 4 = 22, what is x? (a) 18 (b) 1 (c) 3 (d) 2
  6. 6.If 9x + 14 = 50, what is x? (a) 36 (b) 4 (c) 5 (d) 3
  7. 7.If 3x + 15 = 60, what is x? (a) 25 (b) 15 (c) 16 (d) 45
  8. 8.If 5x + 18 = 3x + 24, what is x? (a) 21 (b) 3 (c) 4 (d) 5
  9. 9.If x/6 + 4 = 16, what is x? (a) 92 (b) 72 (c) 120 (d) 12
  10. 10.If 4x − 10 = 2, what is x? (a) 2 (b) 12 (c) 3 (d) 4
  11. 11.If 8x + 3 = 123, what is x? (a) 15 (b) 14 (c) 120 (d) 16
  12. 12.If 7x + 11 = 3x + 15, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  13. 13.If 9x + 8 = 53, what is x? (a) 45 (b) 5 (c) 4 (d) 6
  14. 14.If 8x − 21 = 3, what is x? (a) 24 (b) 3 (c) 2 (d) 4
  15. 15.If 3x + 10 = 55, what is x? (a) 16 (b) 15 (c) 14 (d) 45
  16. 16.If 9x + 10 = 7x + 12, what is x? (a) 2 (b) 1 (c) 3 (d) 11
  17. 17.If 8x + 10 = x + 94, what is x? (a) 12 (b) 14 (c) 11 (d) 13
  18. 18.If 8x + 16 = 5x + 52, what is x? (a) 13 (b) 14 (c) 12 (d) 11
  19. 19.If 3x + 13 = 2x + 24, what is x? (a) 37 (b) 13 (c) 11 (d) 12
  20. 20.If 7x − 47 = 23, what is x? (a) 11 (b) 9 (c) 70 (d) 10
  21. 21.If 4x + 2 = 26, what is x? (a) 5 (b) 6 (c) 7 (d) 24
  22. 22.If 9x + 11 = 5x + 43, what is x? (a) 8 (b) 9 (c) 7 (d) 10
  23. 23.If 6x − 19 = 23, what is x? (a) 42 (b) 6 (c) 8 (d) 7
  24. 24.If x/2 + 12 = 16, what is x? (a) 56 (b) 8 (c) 20 (d) 4
  25. 25.If 7x − 8 = 13, what is x? (a) 3 (b) 21 (c) 4 (d) 2
  26. 26.If x/5 + 11 = 17, what is x? (a) 30 (b) 140 (c) 6 (d) 74
  27. 27.If 8x + 3 = 27, what is x? (a) 2 (b) 4 (c) 24 (d) 3
  28. 28.If 8x + 1 = 57, what is x? (a) 8 (b) 7 (c) 56 (d) 6
  29. 29.If 7x + 6 = 5x + 18, what is x? (a) 7 (b) 12 (c) 1 (d) 6
  30. 30.If 6x + 11 = 89, what is x? (a) 13 (b) 12 (c) 14 (d) 78
  31. 31.If 4x + 16 = 3x + 21, what is x? (a) 7 (b) 6 (c) 5 (d) 37
  32. 32.If 8x + 27 = 123, what is x? (a) 96 (b) 12 (c) 13 (d) 11
  33. 33.If x/2 + 5 = 15, what is x? (a) 10 (b) 25 (c) 40 (d) 20
  34. 34.If x/3 + 15 = 27, what is x? (a) 12 (b) 66 (c) 36 (d) 126
  35. 35.If 7x + 4 = 5x + 22, what is x? (a) 11 (b) 13 (c) 10 (d) 9
  36. 36.If 7x + 3 = 5x + 9, what is x? (a) 5 (b) 6 (c) 4 (d) 3
  37. 37.If x/3 + 2 = 7, what is x? (a) 5 (b) 27 (c) 15 (d) 19
  38. 38.If 5x + 1 = 2x + 13, what is x? (a) 6 (b) 3 (c) 4 (d) 5
  39. 39.If 7x + 10 = 6x + 17, what is x? (a) 9 (b) 27 (c) 7 (d) 8
  40. 40.If 2x + 4 = 22, what is x? (a) 13 (b) 18 (c) 10 (d) 9

Answer key

  1. 9
  2. 6
  3. 24
  4. 36
  5. 2
  6. 4
  7. 15
  8. 3
  9. 72
  10. 3
  11. 15
  12. 1
  13. 5
  14. 3
  15. 15
  16. 1
  17. 12
  18. 12
  19. 11
  20. 10
  21. 6
  22. 8
  23. 7
  24. 8
  25. 3
  26. 30
  27. 3
  28. 7
  29. 6
  30. 13
  31. 5
  32. 12
  33. 20
  34. 36
  35. 9
  36. 3
  37. 15
  38. 4
  39. 7
  40. 9

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