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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 389 · 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/5 + 14 = 21, what is x? (a) 175 (b) 7 (c) 91 (d) 35
  2. 2.If x/5 + 13 = 20, what is x? (a) 165 (b) 87 (c) 35 (d) 7
  3. 3.If 5x + 8 = 28, what is x? (a) 4 (b) 3 (c) 5 (d) 20
  4. 4.If 4x + 2 = 3x + 4, what is x? (a) 4 (b) 2 (c) 6 (d) 3
  5. 5.If 2x − 6 = 16, what is x? (a) 22 (b) 5 (c) 12 (d) 11
  6. 6.If 3x − 9 = 30, what is x? (a) 13 (b) 14 (c) 39 (d) 7
  7. 7.If 5x + 17 = 3x + 33, what is x? (a) 25 (b) 8 (c) 9 (d) 2
  8. 8.If x/6 + 7 = 12, what is x? (a) 114 (b) 30 (c) 65 (d) 5
  9. 9.If x/2 + 14 = 21, what is x? (a) 7 (b) 28 (c) 70 (d) 14
  10. 10.If 2x + 2 = 18, what is x? (a) 9 (b) 16 (c) 8 (d) 10
  11. 11.If 2x − 9 = 5, what is x? (a) 8 (b) 6 (c) 14 (d) 7
  12. 12.If 4x + 18 = 58, what is x? (a) 11 (b) 40 (c) 10 (d) 19
  13. 13.If 9x − 36 = 36, what is x? (a) 7 (b) 9 (c) 72 (d) 8
  14. 14.If 9x − 7 = 29, what is x? (a) 5 (b) 36 (c) 3 (d) 4
  15. 15.If 4x + 14 = 3x + 15, what is x? (a) 3 (b) 29 (c) 1 (d) 2
  16. 16.If 5x − 34 = 41, what is x? (a) 16 (b) 14 (c) 75 (d) 15
  17. 17.If 6x − 14 = 4, what is x? (a) 4 (b) 18 (c) 3 (d) 2
  18. 18.If 7x − 5 = 44, what is x? (a) 6 (b) 7 (c) 49 (d) 8
  19. 19.If 5x − 5 = 55, what is x? (a) 13 (b) 12 (c) 60 (d) 10
  20. 20.If 4x − 15 = 17, what is x? (a) 8 (b) 9 (c) 7 (d) 32
  21. 21.If x/5 + 13 = 17, what is x? (a) 20 (b) 4 (c) 72 (d) 150
  22. 22.If 3x − 9 = 33, what is x? (a) 42 (b) 8 (c) 14 (d) 15
  23. 23.If 3x + 22 = 37, what is x? (a) 5 (b) 4 (c) 15 (d) 6
  24. 24.If 2x + 9 = 33, what is x? (a) 24 (b) 21 (c) 12 (d) 13
  25. 25.If 5x + 1 = x + 13, what is x? (a) 4 (b) 3 (c) 2 (d) 5
  26. 26.If 7x + 1 = 57, what is x? (a) 56 (b) 8 (c) 9 (d) 7
  27. 27.If 9x + 18 = 7x + 22, what is x? (a) 20 (b) 2 (c) 3 (d) 4
  28. 28.If x/3 + 11 = 15, what is x? (a) 78 (b) 4 (c) 34 (d) 12
  29. 29.If 7x + 16 = x + 82, what is x? (a) 13 (b) 11 (c) 10 (d) 12
  30. 30.If 6x − 1 = 17, what is x? (a) 4 (b) 18 (c) 3 (d) 2
  31. 31.If 3x + 17 = 50, what is x? (a) 10 (b) 12 (c) 11 (d) 33
  32. 32.If 3x − 16 = 5, what is x? (a) 7 (b) 6 (c) 8 (d) 21
  33. 33.If x/6 + 9 = 20, what is x? (a) 174 (b) 66 (c) 111 (d) 11
  34. 34.If 7x − 12 = 23, what is x? (a) 4 (b) 6 (c) 35 (d) 5
  35. 35.If 9x + 17 = 4x + 47, what is x? (a) 7 (b) 5 (c) 8 (d) 6
  36. 36.If 8x − 2 = 22, what is x? (a) 4 (b) 3 (c) 24 (d) 2
  37. 37.If x/3 + 11 = 13, what is x? (a) 28 (b) 2 (c) 6 (d) 72
  38. 38.If 4x + 6 = 3x + 7, what is x? (a) 3 (b) 13 (c) 2 (d) 1
  39. 39.If 9x + 13 = 2x + 69, what is x? (a) 8 (b) 9 (c) 10 (d) 7
  40. 40.If 2x − 3 = 5, what is x? (a) 8 (b) 1 (c) 5 (d) 4

Answer key

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

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