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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 715 · 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 7x − 3 = 53, what is x? (a) 56 (b) 8 (c) 7 (d) 9
  2. 2.If 4x − 4 = 8, what is x? (a) 12 (b) 3 (c) 1 (d) 4
  3. 3.If 3x + 4 = 2x + 6, what is x? (a) 4 (b) 2 (c) 3 (d) 10
  4. 4.If 8x + 11 = 6x + 19, what is x? (a) 6 (b) 4 (c) 15 (d) 5
  5. 5.If 4x + 8 = x + 35, what is x? (a) 9 (b) 11 (c) 10 (d) 8
  6. 6.If x/6 + 5 = 8, what is x? (a) 3 (b) 43 (c) 18 (d) 78
  7. 7.If 6x + 4 = 64, what is x? (a) 11 (b) 10 (c) 60 (d) 9
  8. 8.If x/4 + 15 = 18, what is x? (a) 57 (b) 132 (c) 3 (d) 12
  9. 9.If 5x − 25 = 30, what is x? (a) 12 (b) 11 (c) 55 (d) 1
  10. 10.If 7x + 3 = 101, what is x? (a) 13 (b) 15 (c) 98 (d) 14
  11. 11.If 4x + 6 = 2x + 20, what is x? (a) 7 (b) 9 (c) 13 (d) 8
  12. 12.If 3x + 7 = 2x + 19, what is x? (a) 14 (b) 13 (c) 12 (d) 26
  13. 13.If 6x + 29 = 47, what is x? (a) 2 (b) 18 (c) 3 (d) 4
  14. 14.If x/2 + 1 = 4, what is x? (a) 6 (b) 3 (c) 7 (d) 10
  15. 15.If x/3 + 9 = 17, what is x? (a) 24 (b) 42 (c) 78 (d) 8
  16. 16.If 9x − 58 = 32, what is x? (a) 9 (b) 10 (c) 90 (d) 11
  17. 17.If 5x + 29 = 74, what is x? (a) 10 (b) 8 (c) 45 (d) 9
  18. 18.If 7x + 17 = 45, what is x? (a) 5 (b) 3 (c) 28 (d) 4
  19. 19.If x/6 + 9 = 11, what is x? (a) 2 (b) 12 (c) 57 (d) 120
  20. 20.If x/6 + 15 = 25, what is x? (a) 10 (b) 135 (c) 240 (d) 60
  21. 21.If x/6 + 9 = 18, what is x? (a) 99 (b) 9 (c) 162 (d) 54
  22. 22.If x/5 + 8 = 13, what is x? (a) 5 (b) 57 (c) 105 (d) 25
  23. 23.If 4x − 11 = 17, what is x? (a) 8 (b) 7 (c) 6 (d) 28
  24. 24.If 6x + 7 = 4x + 23, what is x? (a) 10 (b) 9 (c) 15 (d) 8
  25. 25.If x/2 + 7 = 12, what is x? (a) 5 (b) 38 (c) 10 (d) 17
  26. 26.If 2x − 3 = 25, what is x? (a) 11 (b) 28 (c) 14 (d) 15
  27. 27.If x/3 + 1 = 13, what is x? (a) 38 (b) 12 (c) 42 (d) 36
  28. 28.If x/4 + 2 = 14, what is x? (a) 12 (b) 54 (c) 64 (d) 48
  29. 29.If 9x + 5 = 8x + 8, what is x? (a) 4 (b) 5 (c) 3 (d) 13
  30. 30.If 7x − 27 = 1, what is x? (a) 28 (b) 5 (c) 4 (d) 3
  31. 31.If 8x + 17 = 113, what is x? (a) 13 (b) 11 (c) 12 (d) 96
  32. 32.If x/5 + 8 = 15, what is x? (a) 67 (b) 115 (c) 7 (d) 35
  33. 33.If 5x − 3 = 22, what is x? (a) 25 (b) 6 (c) 5 (d) 4
  34. 34.If 3x + 19 = x + 41, what is x? (a) 11 (b) 12 (c) 30 (d) 13
  35. 35.If 5x + 22 = 77, what is x? (a) 55 (b) 10 (c) 12 (d) 11
  36. 36.If 2x + 8 = 36, what is x? (a) 28 (b) 14 (c) 22 (d) 15
  37. 37.If 6x − 65 = 13, what is x? (a) 14 (b) 12 (c) 13 (d) 78
  38. 38.If 7x + 10 = x + 34, what is x? (a) 4 (b) 3 (c) 6 (d) 5
  39. 39.If 6x − 26 = 22, what is x? (a) 8 (b) 9 (c) 7 (d) 48
  40. 40.If 4x + 13 = 29, what is x? (a) 16 (b) 4 (c) 5 (d) 3

Answer key

  1. 8
  2. 3
  3. 2
  4. 4
  5. 9
  6. 18
  7. 10
  8. 12
  9. 11
  10. 14
  11. 7
  12. 12
  13. 3
  14. 6
  15. 24
  16. 10
  17. 9
  18. 4
  19. 12
  20. 60
  21. 54
  22. 25
  23. 7
  24. 8
  25. 10
  26. 14
  27. 36
  28. 48
  29. 3
  30. 4
  31. 12
  32. 35
  33. 5
  34. 11
  35. 11
  36. 14
  37. 13
  38. 4
  39. 8
  40. 4

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