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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 706 · 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/3 + 15 = 19, what is x? (a) 42 (b) 102 (c) 12 (d) 4
  2. 2.If 8x − 18 = 38, what is x? (a) 7 (b) 56 (c) 6 (d) 8
  3. 3.If x/6 + 7 = 9, what is x? (a) 12 (b) 47 (c) 2 (d) 96
  4. 4.If 5x + 27 = 42, what is x? (a) 4 (b) 3 (c) 2 (d) 15
  5. 5.If 2x + 16 = 22, what is x? (a) 19 (b) 6 (c) 4 (d) 3
  6. 6.If 3x + 13 = 31, what is x? (a) 7 (b) 6 (c) 5 (d) 18
  7. 7.If 7x + 16 = 44, what is x? (a) 28 (b) 3 (c) 5 (d) 4
  8. 8.If 8x + 10 = 58, what is x? (a) 7 (b) 48 (c) 6 (d) 5
  9. 9.If 7x − 32 = 31, what is x? (a) 10 (b) 63 (c) 8 (d) 9
  10. 10.If x/5 + 13 = 18, what is x? (a) 155 (b) 77 (c) 5 (d) 25
  11. 11.If 2x + 10 = 34, what is x? (a) 22 (b) 12 (c) 24 (d) 13
  12. 12.If x/6 + 6 = 17, what is x? (a) 138 (b) 96 (c) 66 (d) 11
  13. 13.If 2x + 24 = 54, what is x? (a) 39 (b) 16 (c) 30 (d) 15
  14. 14.If 4x + 30 = 70, what is x? (a) 25 (b) 10 (c) 40 (d) 11
  15. 15.If x/2 + 7 = 11, what is x? (a) 4 (b) 8 (c) 15 (d) 36
  16. 16.If x/3 + 11 = 16, what is x? (a) 5 (b) 37 (c) 81 (d) 15
  17. 17.If 5x − 23 = 7, what is x? (a) 30 (b) 7 (c) 5 (d) 6
  18. 18.If 4x + 12 = 2x + 14, what is x? (a) 3 (b) 2 (c) 1 (d) 13
  19. 19.If x/2 + 2 = 12, what is x? (a) 22 (b) 10 (c) 28 (d) 20
  20. 20.If x/4 + 11 = 20, what is x? (a) 124 (b) 36 (c) 69 (d) 9
  21. 21.If x/2 + 14 = 18, what is x? (a) 22 (b) 8 (c) 64 (d) 4
  22. 22.If 7x + 4 = 5x + 20, what is x? (a) 10 (b) 12 (c) 9 (d) 8
  23. 23.If 3x + 2 = x + 12, what is x? (a) 4 (b) 5 (c) 6 (d) 7
  24. 24.If 6x + 11 = 41, what is x? (a) 5 (b) 30 (c) 6 (d) 4
  25. 25.If 3x − 12 = 6, what is x? (a) 6 (b) 5 (c) 18 (d) 7
  26. 26.If 3x + 5 = 41, what is x? (a) 13 (b) 11 (c) 36 (d) 12
  27. 27.If 5x − 18 = 17, what is x? (a) 7 (b) 35 (c) 8 (d) 6
  28. 28.If 4x + 26 = 82, what is x? (a) 27 (b) 15 (c) 14 (d) 56
  29. 29.If 2x − 1 = 29, what is x? (a) 15 (b) 16 (c) 14 (d) 30
  30. 30.If 4x + 3 = 55, what is x? (a) 14 (b) 52 (c) 13 (d) 12
  31. 31.If 5x + 7 = 32, what is x? (a) 25 (b) 4 (c) 6 (d) 5
  32. 32.If x/3 + 13 = 24, what is x? (a) 111 (b) 59 (c) 11 (d) 33
  33. 33.If 2x − 5 = 25, what is x? (a) 16 (b) 15 (c) 30 (d) 10
  34. 34.If 5x + 27 = 47, what is x? (a) 20 (b) 5 (c) 3 (d) 4
  35. 35.If 9x + 1 = 37, what is x? (a) 3 (b) 4 (c) 5 (d) 36
  36. 36.If 5x + 11 = 31, what is x? (a) 20 (b) 3 (c) 4 (d) 5
  37. 37.If 7x + 2 = 72, what is x? (a) 11 (b) 10 (c) 9 (d) 70
  38. 38.If 6x + 23 = 113, what is x? (a) 14 (b) 16 (c) 90 (d) 15
  39. 39.If 9x + 29 = 92, what is x? (a) 8 (b) 63 (c) 7 (d) 6
  40. 40.If 8x + 1 = 25, what is x? (a) 2 (b) 24 (c) 3 (d) 4

Answer key

  1. 12
  2. 7
  3. 12
  4. 3
  5. 3
  6. 6
  7. 4
  8. 6
  9. 9
  10. 25
  11. 12
  12. 66
  13. 15
  14. 10
  15. 8
  16. 15
  17. 6
  18. 1
  19. 20
  20. 36
  21. 8
  22. 8
  23. 5
  24. 5
  25. 6
  26. 12
  27. 7
  28. 14
  29. 15
  30. 13
  31. 5
  32. 33
  33. 15
  34. 4
  35. 4
  36. 4
  37. 10
  38. 15
  39. 7
  40. 3

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