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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 625 · 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 3x − 3 = 6, what is x? (a) 4 (b) 9 (c) 3 (d) 1
  2. 2.If 7x − 2 = 12, what is x? (a) 3 (b) 2 (c) 1 (d) 14
  3. 3.If 9x + 2 = 7x + 4, what is x? (a) 4 (b) 1 (c) 3 (d) 2
  4. 4.If 5x + 13 = 4x + 23, what is x? (a) 11 (b) 10 (c) 12 (d) 36
  5. 5.If 9x + 8 = 4x + 48, what is x? (a) 10 (b) 8 (c) 7 (d) 9
  6. 6.If 6x + 2 = 4x + 12, what is x? (a) 6 (b) 5 (c) 7 (d) 1
  7. 7.If 5x + 11 = x + 55, what is x? (a) 11 (b) 10 (c) 12 (d) 13
  8. 8.If 2x + 20 = 46, what is x? (a) 13 (b) 14 (c) 33 (d) 26
  9. 9.If 6x + 6 = 60, what is x? (a) 11 (b) 10 (c) 9 (d) 54
  10. 10.If 5x − 51 = 4, what is x? (a) 10 (b) 55 (c) 12 (d) 11
  11. 11.If x/4 + 14 = 26, what is x? (a) 90 (b) 48 (c) 160 (d) 12
  12. 12.If 7x − 9 = 5, what is x? (a) 3 (b) 14 (c) 1 (d) 2
  13. 13.If 4x − 2 = 38, what is x? (a) 9 (b) 11 (c) 10 (d) 40
  14. 14.If x/2 + 3 = 10, what is x? (a) 7 (b) 26 (c) 17 (d) 14
  15. 15.If 3x − 39 = 3, what is x? (a) 13 (b) 14 (c) 15 (d) 42
  16. 16.If 9x + 21 = 75, what is x? (a) 5 (b) 54 (c) 6 (d) 7
  17. 17.If 9x + 13 = 2x + 34, what is x? (a) 5 (b) 2 (c) 3 (d) 4
  18. 18.If 7x − 66 = 32, what is x? (a) 98 (b) 15 (c) 14 (d) 13
  19. 19.If 4x − 19 = 1, what is x? (a) 20 (b) 6 (c) 5 (d) 4
  20. 20.If 4x + 3 = 2x + 17, what is x? (a) 8 (b) 9 (c) 7 (d) 10
  21. 21.If 9x + 14 = 8x + 22, what is x? (a) 36 (b) 8 (c) 9 (d) 10
  22. 22.If 3x + 8 = 50, what is x? (a) 42 (b) 13 (c) 15 (d) 14
  23. 23.If 7x + 3 = 5x + 11, what is x? (a) 5 (b) 6 (c) 7 (d) 4
  24. 24.If 9x + 16 = 142, what is x? (a) 126 (b) 13 (c) 15 (d) 14
  25. 25.If 2x + 19 = 49, what is x? (a) 16 (b) 30 (c) 15 (d) 34
  26. 26.If 8x + 16 = 56, what is x? (a) 5 (b) 6 (c) 40 (d) 9
  27. 27.If 5x + 24 = 34, what is x? (a) 3 (b) 2 (c) 10 (d) 1
  28. 28.If 6x − 1 = 11, what is x? (a) 12 (b) 2 (c) 3 (d) 1
  29. 29.If 8x + 3 = 19, what is x? (a) 16 (b) 3 (c) 2 (d) 1
  30. 30.If 8x + 1 = 57, what is x? (a) 7 (b) 6 (c) 56 (d) 8
  31. 31.If x/4 + 10 = 22, what is x? (a) 78 (b) 12 (c) 128 (d) 48
  32. 32.If 3x + 23 = 56, what is x? (a) 11 (b) 12 (c) 33 (d) 10
  33. 33.If 7x + 23 = 86, what is x? (a) 63 (b) 10 (c) 8 (d) 9
  34. 34.If 6x + 16 = 5x + 18, what is x? (a) 4 (b) 3 (c) 2 (d) 34
  35. 35.If 8x + 10 = 82, what is x? (a) 10 (b) 9 (c) 8 (d) 72
  36. 36.If 7x + 10 = 45, what is x? (a) 5 (b) 35 (c) 4 (d) 6
  37. 37.If 7x − 26 = 72, what is x? (a) 13 (b) 14 (c) 98 (d) 15
  38. 38.If 4x − 45 = 11, what is x? (a) 15 (b) 13 (c) 56 (d) 14
  39. 39.If 4x − 14 = 42, what is x? (a) 7 (b) 56 (c) 14 (d) 15
  40. 40.If 7x − 5 = 44, what is x? (a) 8 (b) 7 (c) 6 (d) 49

Answer key

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

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