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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 651 · 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/6 + 9 = 13, what is x? (a) 132 (b) 4 (c) 24 (d) 69
  2. 2.If x/4 + 7 = 16, what is x? (a) 36 (b) 9 (c) 92 (d) 57
  3. 3.If 2x + 14 = 18, what is x? (a) 16 (b) 3 (c) 4 (d) 2
  4. 4.If 9x + 9 = 81, what is x? (a) 10 (b) 9 (c) 72 (d) 8
  5. 5.If 4x + 5 = x + 38, what is x? (a) 12 (b) 10 (c) 13 (d) 11
  6. 6.If 7x − 35 = 56, what is x? (a) 91 (b) 3 (c) 14 (d) 13
  7. 7.If x/4 + 4 = 11, what is x? (a) 60 (b) 40 (c) 7 (d) 28
  8. 8.If 9x + 28 = 46, what is x? (a) 3 (b) 2 (c) 1 (d) 18
  9. 9.If 6x − 34 = 38, what is x? (a) 13 (b) 12 (c) 72 (d) 11
  10. 10.If 3x + 4 = 2x + 15, what is x? (a) 13 (b) 11 (c) 12 (d) 19
  11. 11.If x/3 + 10 = 15, what is x? (a) 75 (b) 15 (c) 5 (d) 35
  12. 12.If 6x + 8 = 5x + 11, what is x? (a) 5 (b) 19 (c) 4 (d) 3
  13. 13.If 7x + 11 = 5x + 33, what is x? (a) 22 (b) 12 (c) 13 (d) 11
  14. 14.If x/2 + 3 = 11, what is x? (a) 28 (b) 16 (c) 19 (d) 8
  15. 15.If 4x + 4 = x + 37, what is x? (a) 12 (b) 10 (c) 11 (d) 13
  16. 16.If 3x + 24 = 60, what is x? (a) 36 (b) 12 (c) 28 (d) 13
  17. 17.If x/5 + 14 = 19, what is x? (a) 25 (b) 81 (c) 5 (d) 165
  18. 18.If x/4 + 1 = 5, what is x? (a) 4 (b) 24 (c) 16 (d) 19
  19. 19.If 5x + 7 = 3x + 13, what is x? (a) 3 (b) 4 (c) 5 (d) 10
  20. 20.If x/2 + 6 = 12, what is x? (a) 12 (b) 6 (c) 18 (d) 36
  21. 21.If 8x + 11 = 3x + 66, what is x? (a) 11 (b) 13 (c) 5 (d) 12
  22. 22.If x/4 + 1 = 9, what is x? (a) 8 (b) 40 (c) 35 (d) 32
  23. 23.If x/2 + 10 = 19, what is x? (a) 9 (b) 58 (c) 28 (d) 18
  24. 24.If 4x + 26 = 62, what is x? (a) 36 (b) 10 (c) 22 (d) 9
  25. 25.If 5x + 18 = 3x + 30, what is x? (a) 8 (b) 24 (c) 7 (d) 6
  26. 26.If x/5 + 4 = 9, what is x? (a) 5 (b) 41 (c) 25 (d) 65
  27. 27.If 8x − 4 = 20, what is x? (a) 2 (b) 24 (c) 4 (d) 3
  28. 28.If 2x + 13 = 31, what is x? (a) 22 (b) 10 (c) 9 (d) 18
  29. 29.If 7x − 14 = 35, what is x? (a) 7 (b) 8 (c) 49 (d) 3
  30. 30.If x/5 + 2 = 13, what is x? (a) 55 (b) 11 (c) 63 (d) 75
  31. 31.If 9x + 3 = 102, what is x? (a) 10 (b) 12 (c) 99 (d) 11
  32. 32.If 3x + 19 = x + 27, what is x? (a) 2 (b) 4 (c) 5 (d) 23
  33. 33.If 3x + 8 = 2x + 13, what is x? (a) 5 (b) 1 (c) 6 (d) 21
  34. 34.If 5x + 7 = 4x + 19, what is x? (a) 26 (b) 13 (c) 14 (d) 12
  35. 35.If x/4 + 12 = 14, what is x? (a) 8 (b) 2 (c) 104 (d) 44
  36. 36.If 2x + 2 = 6, what is x? (a) 1 (b) 3 (c) 2 (d) 4
  37. 37.If x/2 + 15 = 22, what is x? (a) 14 (b) 7 (c) 29 (d) 74
  38. 38.If 6x + 13 = 2x + 29, what is x? (a) 2 (b) 5 (c) 6 (d) 4
  39. 39.If 7x + 15 = 2x + 55, what is x? (a) 8 (b) 9 (c) 14 (d) 10
  40. 40.If 3x − 4 = 32, what is x? (a) 11 (b) 13 (c) 12 (d) 36

Answer key

  1. 24
  2. 36
  3. 2
  4. 8
  5. 11
  6. 13
  7. 28
  8. 2
  9. 12
  10. 11
  11. 15
  12. 3
  13. 11
  14. 16
  15. 11
  16. 12
  17. 25
  18. 16
  19. 3
  20. 12
  21. 11
  22. 32
  23. 18
  24. 9
  25. 6
  26. 25
  27. 3
  28. 9
  29. 7
  30. 55
  31. 11
  32. 4
  33. 5
  34. 12
  35. 8
  36. 2
  37. 14
  38. 4
  39. 8
  40. 12

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