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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 343 · 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 + 3 = 6, what is x? (a) 27 (b) 45 (c) 15 (d) 3
  2. 2.If 7x + 28 = 56, what is x? (a) 12 (b) 28 (c) 4 (d) 5
  3. 3.If 4x + 15 = 55, what is x? (a) 11 (b) 40 (c) 9 (d) 10
  4. 4.If x/5 + 5 = 15, what is x? (a) 50 (b) 10 (c) 70 (d) 100
  5. 5.If 6x + 28 = 76, what is x? (a) 9 (b) 48 (c) 7 (d) 8
  6. 6.If x/4 + 13 = 16, what is x? (a) 116 (b) 3 (c) 51 (d) 12
  7. 7.If 5x + 27 = 92, what is x? (a) 14 (b) 12 (c) 65 (d) 13
  8. 8.If 9x + 4 = x + 76, what is x? (a) 8 (b) 11 (c) 10 (d) 9
  9. 9.If 9x + 1 = 136, what is x? (a) 16 (b) 15 (c) 14 (d) 135
  10. 10.If 9x + 13 = 2x + 34, what is x? (a) 3 (b) 2 (c) 5 (d) 4
  11. 11.If 2x + 11 = 37, what is x? (a) 13 (b) 14 (c) 24 (d) 26
  12. 12.If 3x + 4 = x + 26, what is x? (a) 11 (b) 12 (c) 13 (d) 15
  13. 13.If x/3 + 5 = 11, what is x? (a) 18 (b) 48 (c) 28 (d) 6
  14. 14.If 2x + 22 = 50, what is x? (a) 28 (b) 36 (c) 15 (d) 14
  15. 15.If 5x + 21 = 61, what is x? (a) 7 (b) 40 (c) 8 (d) 9
  16. 16.If 5x − 7 = 3, what is x? (a) 1 (b) 3 (c) 10 (d) 2
  17. 17.If 9x + 22 = 76, what is x? (a) 7 (b) 54 (c) 6 (d) 5
  18. 18.If 3x + 6 = 2x + 16, what is x? (a) 2 (b) 22 (c) 11 (d) 10
  19. 19.If 8x + 4 = x + 81, what is x? (a) 13 (b) 12 (c) 10 (d) 11
  20. 20.If x/2 + 3 = 6, what is x? (a) 9 (b) 18 (c) 3 (d) 6
  21. 21.If 8x − 79 = 41, what is x? (a) 15 (b) 16 (c) 120 (d) 14
  22. 22.If 8x − 59 = 53, what is x? (a) 112 (b) 14 (c) 15 (d) 13
  23. 23.If 9x + 3 = 2x + 10, what is x? (a) 3 (b) 1 (c) 2 (d) 4
  24. 24.If 7x + 17 = 73, what is x? (a) 8 (b) 7 (c) 56 (d) 9
  25. 25.If 2x + 9 = 33, what is x? (a) 21 (b) 24 (c) 13 (d) 12
  26. 26.If 6x + 6 = 36, what is x? (a) 5 (b) 7 (c) 30 (d) 6
  27. 27.If x/6 + 4 = 11, what is x? (a) 7 (b) 42 (c) 62 (d) 90
  28. 28.If x/4 + 9 = 18, what is x? (a) 9 (b) 108 (c) 63 (d) 36
  29. 29.If 5x + 9 = 74, what is x? (a) 12 (b) 13 (c) 65 (d) 14
  30. 30.If 8x + 19 = x + 33, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  31. 31.If 2x + 26 = 46, what is x? (a) 20 (b) 11 (c) 10 (d) 36
  32. 32.If 6x + 17 = 107, what is x? (a) 90 (b) 16 (c) 15 (d) 14
  33. 33.If 8x + 5 = 37, what is x? (a) 4 (b) 32 (c) 5 (d) 3
  34. 34.If 2x − 12 = 14, what is x? (a) 14 (b) 1 (c) 13 (d) 26
  35. 35.If 6x − 40 = 38, what is x? (a) 14 (b) 13 (c) 78 (d) 12
  36. 36.If 3x − 7 = 11, what is x? (a) 5 (b) 6 (c) 7 (d) 18
  37. 37.If 5x + 18 = 3x + 22, what is x? (a) 4 (b) 3 (c) 2 (d) 20
  38. 38.If 8x + 24 = 104, what is x? (a) 11 (b) 80 (c) 10 (d) 16
  39. 39.If x/3 + 7 = 18, what is x? (a) 11 (b) 75 (c) 47 (d) 33
  40. 40.If 3x + 15 = x + 31, what is x? (a) 9 (b) 4 (c) 23 (d) 8

Answer key

  1. 15
  2. 4
  3. 10
  4. 50
  5. 8
  6. 12
  7. 13
  8. 9
  9. 15
  10. 3
  11. 13
  12. 11
  13. 18
  14. 14
  15. 8
  16. 2
  17. 6
  18. 10
  19. 11
  20. 6
  21. 15
  22. 14
  23. 1
  24. 8
  25. 12
  26. 5
  27. 42
  28. 36
  29. 13
  30. 2
  31. 10
  32. 15
  33. 4
  34. 13
  35. 13
  36. 6
  37. 2
  38. 10
  39. 33
  40. 8

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