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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 803 · 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 2x − 13 = 1, what is x? (a) 8 (b) 7 (c) 6 (d) 14
  2. 2.If 6x + 6 = 78, what is x? (a) 12 (b) 72 (c) 14 (d) 13
  3. 3.If 7x + 7 = 4x + 22, what is x? (a) 6 (b) 4 (c) 5 (d) 7
  4. 4.If 2x − 1 = 3, what is x? (a) 2 (b) 4 (c) 1 (d) 3
  5. 5.If x/5 + 3 = 6, what is x? (a) 3 (b) 15 (c) 27 (d) 45
  6. 6.If x/3 + 2 = 9, what is x? (a) 25 (b) 33 (c) 7 (d) 21
  7. 7.If 8x + 6 = 126, what is x? (a) 15 (b) 120 (c) 14 (d) 16
  8. 8.If 9x + 26 = 161, what is x? (a) 135 (b) 14 (c) 16 (d) 15
  9. 9.If 4x − 6 = 10, what is x? (a) 1 (b) 16 (c) 4 (d) 5
  10. 10.If 4x + 9 = 45, what is x? (a) 10 (b) 8 (c) 9 (d) 36
  11. 11.If x/5 + 15 = 17, what is x? (a) 70 (b) 10 (c) 160 (d) 2
  12. 12.If 8x + 28 = 92, what is x? (a) 64 (b) 15 (c) 9 (d) 8
  13. 13.If 2x + 11 = 23, what is x? (a) 12 (b) 17 (c) 7 (d) 6
  14. 14.If 7x + 28 = 70, what is x? (a) 7 (b) 42 (c) 6 (d) 14
  15. 15.If 8x + 5 = 5x + 8, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  16. 16.If 3x + 21 = 57, what is x? (a) 12 (b) 36 (c) 26 (d) 13
  17. 17.If 3x + 5 = x + 13, what is x? (a) 9 (b) 4 (c) 5 (d) 2
  18. 18.If 5x − 19 = 36, what is x? (a) 12 (b) 11 (c) 10 (d) 55
  19. 19.If 3x + 5 = 2x + 15, what is x? (a) 20 (b) 2 (c) 11 (d) 10
  20. 20.If 7x + 13 = 118, what is x? (a) 14 (b) 15 (c) 16 (d) 105
  21. 21.If 3x − 2 = 7, what is x? (a) 3 (b) 4 (c) 9 (d) 2
  22. 22.If 9x − 58 = 59, what is x? (a) 14 (b) 13 (c) 117 (d) 12
  23. 23.If 8x − 60 = 20, what is x? (a) 10 (b) 80 (c) 9 (d) 11
  24. 24.If x/2 + 9 = 19, what is x? (a) 56 (b) 10 (c) 29 (d) 20
  25. 25.If 8x + 2 = 6x + 6, what is x? (a) 1 (b) 4 (c) 3 (d) 2
  26. 26.If 2x + 15 = 39, what is x? (a) 27 (b) 13 (c) 12 (d) 24
  27. 27.If 8x − 74 = 6, what is x? (a) 9 (b) 11 (c) 80 (d) 10
  28. 28.If 8x + 11 = 35, what is x? (a) 3 (b) 4 (c) 2 (d) 24
  29. 29.If 2x + 10 = 18, what is x? (a) 14 (b) 8 (c) 4 (d) 5
  30. 30.If 7x + 3 = 5x + 5, what is x? (a) 2 (b) 4 (c) 1 (d) 3
  31. 31.If 6x + 23 = 35, what is x? (a) 3 (b) 2 (c) 1 (d) 12
  32. 32.If 7x + 4 = 3x + 36, what is x? (a) 9 (b) 7 (c) 10 (d) 8
  33. 33.If 9x + 7 = 106, what is x? (a) 12 (b) 10 (c) 11 (d) 99
  34. 34.If 7x + 16 = 3x + 60, what is x? (a) 12 (b) 11 (c) 13 (d) 19
  35. 35.If x/3 + 10 = 13, what is x? (a) 9 (b) 3 (c) 29 (d) 69
  36. 36.If 3x − 2 = 4, what is x? (a) 6 (b) 1 (c) 2 (d) 3
  37. 37.If 3x + 15 = 2x + 24, what is x? (a) 39 (b) 11 (c) 10 (d) 9
  38. 38.If 2x − 16 = 12, what is x? (a) 28 (b) 13 (c) 15 (d) 14
  39. 39.If 7x + 17 = 3x + 25, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  40. 40.If 5x + 5 = 2x + 8, what is x? (a) 3 (b) 2 (c) 4 (d) 1

Answer key

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

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