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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 696 · 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 6x + 14 = 32, what is x? (a) 4 (b) 2 (c) 18 (d) 3
  2. 2.If 7x − 46 = 24, what is x? (a) 70 (b) 11 (c) 9 (d) 10
  3. 3.If 4x + 1 = 2x + 19, what is x? (a) 3 (b) 11 (c) 10 (d) 9
  4. 4.If 6x + 29 = 101, what is x? (a) 13 (b) 12 (c) 72 (d) 11
  5. 5.If 8x − 13 = 27, what is x? (a) 4 (b) 40 (c) 6 (d) 5
  6. 6.If x/2 + 10 = 15, what is x? (a) 50 (b) 5 (c) 20 (d) 10
  7. 7.If 7x + 16 = 4x + 34, what is x? (a) 5 (b) 6 (c) 7 (d) 8
  8. 8.If 4x + 13 = 25, what is x? (a) 4 (b) 3 (c) 2 (d) 12
  9. 9.If 6x + 1 = 2x + 41, what is x? (a) 10 (b) 11 (c) 12 (d) 5
  10. 10.If 7x + 11 = 3x + 15, what is x? (a) 1 (b) 3 (c) 2 (d) 4
  11. 11.If x/3 + 7 = 16, what is x? (a) 69 (b) 9 (c) 41 (d) 27
  12. 12.If x/2 + 13 = 19, what is x? (a) 25 (b) 6 (c) 12 (d) 64
  13. 13.If x/6 + 12 = 19, what is x? (a) 42 (b) 7 (c) 186 (d) 102
  14. 14.If 2x + 8 = 12, what is x? (a) 10 (b) 4 (c) 2 (d) 3
  15. 15.If x/2 + 7 = 18, what is x? (a) 11 (b) 29 (c) 50 (d) 22
  16. 16.If 5x − 39 = 26, what is x? (a) 12 (b) 65 (c) 14 (d) 13
  17. 17.If 4x + 14 = 3x + 24, what is x? (a) 12 (b) 11 (c) 10 (d) 38
  18. 18.If 2x + 1 = 5, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  19. 19.If 4x + 2 = 3x + 3, what is x? (a) 3 (b) 2 (c) 1 (d) 5
  20. 20.If 6x + 5 = 5x + 6, what is x? (a) 1 (b) 11 (c) 2 (d) 3
  21. 21.If x/2 + 8 = 10, what is x? (a) 4 (b) 2 (c) 36 (d) 12
  22. 22.If x/2 + 4 = 15, what is x? (a) 38 (b) 22 (c) 26 (d) 11
  23. 23.If 3x − 18 = 24, what is x? (a) 2 (b) 42 (c) 15 (d) 14
  24. 24.If 4x + 3 = 2x + 15, what is x? (a) 2 (b) 6 (c) 7 (d) 9
  25. 25.If 2x + 26 = 34, what is x? (a) 4 (b) 5 (c) 8 (d) 30
  26. 26.If 8x + 10 = 82, what is x? (a) 10 (b) 72 (c) 9 (d) 8
  27. 27.If 7x + 4 = 6x + 14, what is x? (a) 12 (b) 18 (c) 10 (d) 11
  28. 28.If x/3 + 13 = 25, what is x? (a) 36 (b) 62 (c) 12 (d) 114
  29. 29.If x/6 + 2 = 9, what is x? (a) 66 (b) 7 (c) 52 (d) 42
  30. 30.If 6x + 7 = 4x + 15, what is x? (a) 11 (b) 6 (c) 5 (d) 4
  31. 31.If 2x − 9 = 3, what is x? (a) 5 (b) 6 (c) 7 (d) 12
  32. 32.If 9x + 27 = 108, what is x? (a) 81 (b) 10 (c) 9 (d) 15
  33. 33.If 4x + 28 = 76, what is x? (a) 12 (b) 13 (c) 48 (d) 26
  34. 34.If 9x − 18 = 27, what is x? (a) 45 (b) 1 (c) 5 (d) 6
  35. 35.If 3x + 20 = 2x + 27, what is x? (a) 8 (b) 47 (c) 7 (d) 9
  36. 36.If 7x − 43 = 6, what is x? (a) 6 (b) 7 (c) 8 (d) 49
  37. 37.If 8x − 24 = 8, what is x? (a) 5 (b) 3 (c) 4 (d) 32
  38. 38.If 3x + 7 = x + 29, what is x? (a) 12 (b) 13 (c) 11 (d) 18
  39. 39.If x/5 + 4 = 15, what is x? (a) 95 (b) 71 (c) 55 (d) 11
  40. 40.If 9x + 5 = 32, what is x? (a) 4 (b) 2 (c) 3 (d) 27

Answer key

  1. 3
  2. 10
  3. 9
  4. 12
  5. 5
  6. 10
  7. 6
  8. 3
  9. 10
  10. 1
  11. 27
  12. 12
  13. 42
  14. 2
  15. 22
  16. 13
  17. 10
  18. 2
  19. 1
  20. 1
  21. 4
  22. 22
  23. 14
  24. 6
  25. 4
  26. 9
  27. 10
  28. 36
  29. 42
  30. 4
  31. 6
  32. 9
  33. 12
  34. 5
  35. 7
  36. 7
  37. 4
  38. 11
  39. 55
  40. 3

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