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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 88 · 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 − 25 = 3, what is x? (a) 4 (b) 5 (c) 3 (d) 28
  2. 2.If x/2 + 11 = 23, what is x? (a) 12 (b) 35 (c) 24 (d) 68
  3. 3.If 6x + 24 = 60, what is x? (a) 7 (b) 36 (c) 14 (d) 6
  4. 4.If x/6 + 9 = 13, what is x? (a) 132 (b) 69 (c) 4 (d) 24
  5. 5.If 2x + 1 = 9, what is x? (a) 5 (b) 3 (c) 8 (d) 4
  6. 6.If 5x + 18 = 4x + 19, what is x? (a) 1 (b) 2 (c) 3 (d) 37
  7. 7.If x/6 + 8 = 10, what is x? (a) 12 (b) 2 (c) 108 (d) 52
  8. 8.If x/3 + 1 = 6, what is x? (a) 17 (b) 21 (c) 5 (d) 15
  9. 9.If 7x − 62 = 1, what is x? (a) 10 (b) 8 (c) 9 (d) 63
  10. 10.If 2x + 5 = 21, what is x? (a) 8 (b) 13 (c) 9 (d) 16
  11. 11.If 4x + 30 = 82, what is x? (a) 13 (b) 14 (c) 52 (d) 28
  12. 12.If 6x + 12 = 66, what is x? (a) 13 (b) 10 (c) 54 (d) 9
  13. 13.If x/3 + 8 = 19, what is x? (a) 33 (b) 81 (c) 49 (d) 11
  14. 14.If x/2 + 1 = 9, what is x? (a) 20 (b) 8 (c) 17 (d) 16
  15. 15.If 7x − 4 = 10, what is x? (a) 2 (b) 1 (c) 14 (d) 3
  16. 16.If x/3 + 2 = 7, what is x? (a) 19 (b) 27 (c) 15 (d) 5
  17. 17.If x/4 + 6 = 16, what is x? (a) 88 (b) 10 (c) 40 (d) 58
  18. 18.If 6x + 18 = x + 43, what is x? (a) 4 (b) 6 (c) 5 (d) 7
  19. 19.If x/5 + 9 = 15, what is x? (a) 120 (b) 30 (c) 6 (d) 66
  20. 20.If 7x + 3 = 4x + 15, what is x? (a) 3 (b) 6 (c) 4 (d) 5
  21. 21.If x/2 + 2 = 11, what is x? (a) 9 (b) 18 (c) 20 (d) 26
  22. 22.If 4x + 6 = 62, what is x? (a) 14 (b) 56 (c) 17 (d) 15
  23. 23.If 8x + 11 = 6x + 29, what is x? (a) 20 (b) 10 (c) 11 (d) 9
  24. 24.If 3x + 30 = 54, what is x? (a) 8 (b) 9 (c) 24 (d) 28
  25. 25.If 7x − 10 = 4, what is x? (a) 14 (b) 1 (c) 3 (d) 2
  26. 26.If 5x + 9 = 24, what is x? (a) 4 (b) 2 (c) 3 (d) 15
  27. 27.If 8x − 3 = 13, what is x? (a) 1 (b) 16 (c) 3 (d) 2
  28. 28.If 7x + 8 = 6x + 9, what is x? (a) 3 (b) 17 (c) 2 (d) 1
  29. 29.If 5x + 1 = 61, what is x? (a) 11 (b) 13 (c) 12 (d) 60
  30. 30.If 2x + 10 = 40, what is x? (a) 16 (b) 25 (c) 30 (d) 15
  31. 31.If 5x + 1 = 4x + 13, what is x? (a) 14 (b) 13 (c) 11 (d) 12
  32. 32.If 6x − 23 = 7, what is x? (a) 6 (b) 30 (c) 4 (d) 5
  33. 33.If x/3 + 10 = 13, what is x? (a) 29 (b) 69 (c) 9 (d) 3
  34. 34.If x/6 + 11 = 16, what is x? (a) 85 (b) 30 (c) 5 (d) 162
  35. 35.If x/6 + 10 = 20, what is x? (a) 110 (b) 10 (c) 180 (d) 60
  36. 36.If x/2 + 12 = 19, what is x? (a) 26 (b) 62 (c) 7 (d) 14
  37. 37.If 8x + 10 = 2x + 28, what is x? (a) 3 (b) 4 (c) 5 (d) 2
  38. 38.If x/2 + 3 = 11, what is x? (a) 28 (b) 8 (c) 16 (d) 19
  39. 39.If 2x − 22 = 4, what is x? (a) 12 (b) 14 (c) 13 (d) 26
  40. 40.If 6x + 5 = 3x + 41, what is x? (a) 13 (b) 14 (c) 4 (d) 12

Answer key

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

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