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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 576 · 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 + 22 = 67, what is x? (a) 4 (b) 45 (c) 6 (d) 5
  2. 2.If 4x + 1 = 3x + 11, what is x? (a) 11 (b) 10 (c) 9 (d) 12
  3. 3.If x/2 + 9 = 15, what is x? (a) 21 (b) 12 (c) 6 (d) 48
  4. 4.If 8x + 14 = 5x + 20, what is x? (a) 2 (b) 3 (c) 4 (d) 1
  5. 5.If 5x + 1 = 4x + 12, what is x? (a) 10 (b) 12 (c) 11 (d) 13
  6. 6.If 2x − 2 = 28, what is x? (a) 30 (b) 13 (c) 16 (d) 15
  7. 7.If 2x − 20 = 2, what is x? (a) 11 (b) 12 (c) 22 (d) 10
  8. 8.If 6x + 20 = 4x + 30, what is x? (a) 1 (b) 5 (c) 25 (d) 6
  9. 9.If 8x + 18 = 7x + 27, what is x? (a) 10 (b) 11 (c) 45 (d) 9
  10. 10.If 5x − 11 = 4, what is x? (a) 2 (b) 15 (c) 3 (d) 4
  11. 11.If 7x + 6 = 41, what is x? (a) 4 (b) 35 (c) 5 (d) 6
  12. 12.If 3x + 17 = 38, what is x? (a) 7 (b) 6 (c) 21 (d) 8
  13. 13.If 2x + 17 = 41, what is x? (a) 13 (b) 29 (c) 24 (d) 12
  14. 14.If 9x − 5 = 13, what is x? (a) 18 (b) 3 (c) 1 (d) 2
  15. 15.If x/2 + 10 = 19, what is x? (a) 28 (b) 58 (c) 9 (d) 18
  16. 16.If 2x − 1 = 21, what is x? (a) 22 (b) 10 (c) 11 (d) 12
  17. 17.If 4x − 13 = 47, what is x? (a) 15 (b) 16 (c) 14 (d) 60
  18. 18.If 8x + 19 = 51, what is x? (a) 5 (b) 4 (c) 3 (d) 32
  19. 19.If 9x − 17 = 1, what is x? (a) 3 (b) 18 (c) 1 (d) 2
  20. 20.If x/6 + 1 = 10, what is x? (a) 59 (b) 9 (c) 54 (d) 66
  21. 21.If 7x − 54 = 23, what is x? (a) 10 (b) 11 (c) 77 (d) 12
  22. 22.If 8x + 22 = 126, what is x? (a) 104 (b) 12 (c) 13 (d) 14
  23. 23.If x/3 + 14 = 18, what is x? (a) 4 (b) 40 (c) 12 (d) 96
  24. 24.If 7x + 11 = 2x + 56, what is x? (a) 10 (b) 5 (c) 11 (d) 9
  25. 25.If 9x + 14 = 6x + 26, what is x? (a) 4 (b) 3 (c) 5 (d) 6
  26. 26.If 5x + 8 = 43, what is x? (a) 35 (b) 6 (c) 7 (d) 8
  27. 27.If 8x + 3 = 7x + 6, what is x? (a) 5 (b) 3 (c) 4 (d) 9
  28. 28.If 5x + 3 = 2x + 39, what is x? (a) 14 (b) 11 (c) 12 (d) 13
  29. 29.If 9x − 35 = 82, what is x? (a) 12 (b) 117 (c) 13 (d) 14
  30. 30.If 7x − 37 = 68, what is x? (a) 105 (b) 14 (c) 16 (d) 15
  31. 31.If 8x + 25 = 129, what is x? (a) 12 (b) 14 (c) 104 (d) 13
  32. 32.If 5x − 28 = 47, what is x? (a) 16 (b) 75 (c) 15 (d) 14
  33. 33.If x/3 + 1 = 10, what is x? (a) 9 (b) 33 (c) 29 (d) 27
  34. 34.If 9x − 118 = 17, what is x? (a) 16 (b) 15 (c) 135 (d) 14
  35. 35.If 7x − 22 = 41, what is x? (a) 8 (b) 9 (c) 63 (d) 10
  36. 36.If 4x + 3 = 55, what is x? (a) 52 (b) 12 (c) 14 (d) 13
  37. 37.If x/2 + 9 = 12, what is x? (a) 3 (b) 42 (c) 15 (d) 6
  38. 38.If x/4 + 12 = 20, what is x? (a) 8 (b) 128 (c) 68 (d) 32
  39. 39.If 9x − 107 = 1, what is x? (a) 108 (b) 13 (c) 11 (d) 12
  40. 40.If 3x + 9 = 2x + 10, what is x? (a) 3 (b) 1 (c) 2 (d) 19

Answer key

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

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