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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 640 · 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 + 7 = 97, what is x? (a) 9 (b) 11 (c) 90 (d) 10
  2. 2.If 6x + 20 = x + 35, what is x? (a) 5 (b) 11 (c) 4 (d) 3
  3. 3.If 2x − 2 = 12, what is x? (a) 8 (b) 7 (c) 14 (d) 5
  4. 4.If 3x + 2 = 44, what is x? (a) 15 (b) 42 (c) 13 (d) 14
  5. 5.If 5x + 2 = 4x + 4, what is x? (a) 4 (b) 3 (c) 6 (d) 2
  6. 6.If x/5 + 14 = 17, what is x? (a) 155 (b) 71 (c) 15 (d) 3
  7. 7.If 8x − 1 = 15, what is x? (a) 16 (b) 2 (c) 1 (d) 3
  8. 8.If x/5 + 13 = 18, what is x? (a) 155 (b) 25 (c) 77 (d) 5
  9. 9.If x/2 + 8 = 16, what is x? (a) 24 (b) 48 (c) 8 (d) 16
  10. 10.If 7x + 24 = 80, what is x? (a) 9 (b) 7 (c) 8 (d) 56
  11. 11.If 2x − 1 = 3, what is x? (a) 3 (b) 1 (c) 2 (d) 4
  12. 12.If 2x + 27 = 43, what is x? (a) 9 (b) 16 (c) 8 (d) 35
  13. 13.If x/6 + 5 = 11, what is x? (a) 61 (b) 36 (c) 96 (d) 6
  14. 14.If 2x + 25 = 43, what is x? (a) 34 (b) 9 (c) 18 (d) 10
  15. 15.If 7x + 8 = 2x + 13, what is x? (a) 4 (b) 1 (c) 3 (d) 2
  16. 16.If x/6 + 7 = 14, what is x? (a) 7 (b) 42 (c) 126 (d) 77
  17. 17.If 7x + 30 = 51, what is x? (a) 2 (b) 21 (c) 3 (d) 4
  18. 18.If x/5 + 7 = 16, what is x? (a) 73 (b) 9 (c) 115 (d) 45
  19. 19.If 5x − 17 = 13, what is x? (a) 6 (b) 30 (c) 5 (d) 7
  20. 20.If 8x + 17 = 89, what is x? (a) 9 (b) 10 (c) 72 (d) 8
  21. 21.If 7x + 30 = 128, what is x? (a) 98 (b) 15 (c) 14 (d) 13
  22. 22.If x/3 + 2 = 13, what is x? (a) 37 (b) 45 (c) 33 (d) 11
  23. 23.If 3x + 20 = 47, what is x? (a) 27 (b) 8 (c) 9 (d) 10
  24. 24.If 7x + 26 = 68, what is x? (a) 42 (b) 6 (c) 7 (d) 5
  25. 25.If 8x + 17 = 57, what is x? (a) 5 (b) 40 (c) 6 (d) 4
  26. 26.If 2x + 8 = 20, what is x? (a) 14 (b) 6 (c) 7 (d) 12
  27. 27.If 9x + 1 = 91, what is x? (a) 9 (b) 90 (c) 11 (d) 10
  28. 28.If 2x + 22 = 50, what is x? (a) 15 (b) 14 (c) 28 (d) 36
  29. 29.If 3x + 11 = 2x + 20, what is x? (a) 31 (b) 11 (c) 10 (d) 9
  30. 30.If 7x + 19 = 2x + 34, what is x? (a) 4 (b) 5 (c) 2 (d) 3
  31. 31.If 3x + 20 = 38, what is x? (a) 18 (b) 6 (c) 5 (d) 7
  32. 32.If 4x + 29 = 85, what is x? (a) 14 (b) 15 (c) 56 (d) 13
  33. 33.If x/2 + 14 = 17, what is x? (a) 3 (b) 62 (c) 6 (d) 20
  34. 34.If 9x − 5 = 22, what is x? (a) 27 (b) 2 (c) 4 (d) 3
  35. 35.If 5x + 8 = 4x + 17, what is x? (a) 1 (b) 10 (c) 9 (d) 25
  36. 36.If 9x + 18 = x + 34, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  37. 37.If 3x − 25 = 17, what is x? (a) 14 (b) 42 (c) 13 (d) 15
  38. 38.If 8x + 12 = 7x + 20, what is x? (a) 9 (b) 8 (c) 32 (d) 10
  39. 39.If 4x − 47 = 13, what is x? (a) 60 (b) 14 (c) 16 (d) 15
  40. 40.If 8x + 13 = 7x + 17, what is x? (a) 30 (b) 5 (c) 6 (d) 4

Answer key

  1. 10
  2. 3
  3. 7
  4. 14
  5. 2
  6. 15
  7. 2
  8. 25
  9. 16
  10. 8
  11. 2
  12. 8
  13. 36
  14. 9
  15. 1
  16. 42
  17. 3
  18. 45
  19. 6
  20. 9
  21. 14
  22. 33
  23. 9
  24. 6
  25. 5
  26. 6
  27. 10
  28. 14
  29. 9
  30. 3
  31. 6
  32. 14
  33. 6
  34. 3
  35. 9
  36. 2
  37. 14
  38. 8
  39. 15
  40. 4

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