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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 158 · 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 + 27 = 48, what is x? (a) 4 (b) 21 (c) 3 (d) 2
  2. 2.If x/5 + 12 = 24, what is x? (a) 12 (b) 180 (c) 108 (d) 60
  3. 3.If x/5 + 7 = 19, what is x? (a) 88 (b) 130 (c) 60 (d) 12
  4. 4.If 2x − 13 = 15, what is x? (a) 14 (b) 1 (c) 28 (d) 15
  5. 5.If 7x + 3 = 66, what is x? (a) 9 (b) 63 (c) 8 (d) 10
  6. 6.If 5x + 19 = x + 47, what is x? (a) 9 (b) 8 (c) 6 (d) 7
  7. 7.If 7x + 13 = 2x + 63, what is x? (a) 9 (b) 11 (c) 12 (d) 10
  8. 8.If 4x + 9 = x + 24, what is x? (a) 3 (b) 5 (c) 11 (d) 6
  9. 9.If x/6 + 14 = 19, what is x? (a) 198 (b) 30 (c) 100 (d) 5
  10. 10.If 2x + 24 = 32, what is x? (a) 28 (b) 5 (c) 8 (d) 4
  11. 11.If 4x + 1 = 13, what is x? (a) 12 (b) 2 (c) 3 (d) 4
  12. 12.If 2x + 14 = 22, what is x? (a) 5 (b) 4 (c) 8 (d) 18
  13. 13.If x/2 + 1 = 5, what is x? (a) 12 (b) 8 (c) 9 (d) 4
  14. 14.If 7x + 20 = 2x + 70, what is x? (a) 11 (b) 18 (c) 10 (d) 12
  15. 15.If 6x + 6 = x + 36, what is x? (a) 5 (b) 7 (c) 6 (d) 8
  16. 16.If 9x + 20 = 101, what is x? (a) 10 (b) 9 (c) 8 (d) 81
  17. 17.If 4x + 24 = 52, what is x? (a) 8 (b) 7 (c) 19 (d) 28
  18. 18.If 7x + 8 = 71, what is x? (a) 8 (b) 9 (c) 10 (d) 63
  19. 19.If 6x + 5 = 59, what is x? (a) 8 (b) 10 (c) 54 (d) 9
  20. 20.If 5x − 16 = 49, what is x? (a) 14 (b) 65 (c) 12 (d) 13
  21. 21.If x/4 + 6 = 8, what is x? (a) 56 (b) 2 (c) 26 (d) 8
  22. 22.If 8x − 5 = 11, what is x? (a) 16 (b) 2 (c) 3 (d) 1
  23. 23.If 2x − 7 = 23, what is x? (a) 15 (b) 30 (c) 16 (d) 8
  24. 24.If x/2 + 13 = 22, what is x? (a) 31 (b) 9 (c) 18 (d) 70
  25. 25.If 3x − 1 = 44, what is x? (a) 14 (b) 16 (c) 45 (d) 15
  26. 26.If 8x + 25 = 81, what is x? (a) 6 (b) 7 (c) 56 (d) 8
  27. 27.If 7x + 2 = 3x + 50, what is x? (a) 14 (b) 13 (c) 11 (d) 12
  28. 28.If 7x + 1 = 3x + 25, what is x? (a) 5 (b) 6 (c) 8 (d) 7
  29. 29.If 6x + 18 = x + 28, what is x? (a) 1 (b) 4 (c) 3 (d) 2
  30. 30.If 6x + 14 = 2x + 54, what is x? (a) 17 (b) 10 (c) 11 (d) 5
  31. 31.If 2x + 4 = 34, what is x? (a) 16 (b) 30 (c) 15 (d) 19
  32. 32.If 9x + 17 = 44, what is x? (a) 4 (b) 2 (c) 3 (d) 27
  33. 33.If 3x + 6 = 18, what is x? (a) 12 (b) 5 (c) 4 (d) 8
  34. 34.If x/4 + 8 = 16, what is x? (a) 8 (b) 56 (c) 32 (d) 96
  35. 35.If 2x − 18 = 10, what is x? (a) 15 (b) 28 (c) 14 (d) 13
  36. 36.If x/2 + 15 = 18, what is x? (a) 6 (b) 3 (c) 66 (d) 21
  37. 37.If 6x − 11 = 13, what is x? (a) 4 (b) 24 (c) 5 (d) 3
  38. 38.If 4x − 2 = 10, what is x? (a) 12 (b) 4 (c) 3 (d) 2
  39. 39.If 5x + 20 = 4x + 24, what is x? (a) 4 (b) 44 (c) 5 (d) 6
  40. 40.If 5x + 12 = 57, what is x? (a) 10 (b) 45 (c) 8 (d) 9

Answer key

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

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