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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 416 · 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 x/5 + 3 = 12, what is x? (a) 45 (b) 57 (c) 75 (d) 9
  2. 2.If 3x + 21 = 57, what is x? (a) 12 (b) 26 (c) 13 (d) 36
  3. 3.If 7x + 1 = 64, what is x? (a) 8 (b) 9 (c) 63 (d) 10
  4. 4.If 5x + 27 = 87, what is x? (a) 60 (b) 13 (c) 11 (d) 12
  5. 5.If 6x − 2 = 46, what is x? (a) 9 (b) 7 (c) 8 (d) 48
  6. 6.If 4x + 8 = 2x + 14, what is x? (a) 4 (b) 3 (c) 1 (d) 11
  7. 7.If x/4 + 7 = 10, what is x? (a) 33 (b) 3 (c) 12 (d) 68
  8. 8.If 4x + 11 = 3x + 15, what is x? (a) 26 (b) 4 (c) 5 (d) 6
  9. 9.If 8x + 17 = 7x + 27, what is x? (a) 44 (b) 10 (c) 12 (d) 11
  10. 10.If 9x + 8 = 89, what is x? (a) 81 (b) 8 (c) 10 (d) 9
  11. 11.If 5x + 19 = 44, what is x? (a) 4 (b) 25 (c) 5 (d) 6
  12. 12.If 3x + 2 = 44, what is x? (a) 13 (b) 15 (c) 14 (d) 42
  13. 13.If 2x + 26 = 40, what is x? (a) 33 (b) 8 (c) 14 (d) 7
  14. 14.If 4x − 1 = 47, what is x? (a) 13 (b) 48 (c) 11 (d) 12
  15. 15.If 6x + 11 = 101, what is x? (a) 90 (b) 15 (c) 14 (d) 16
  16. 16.If 7x + 10 = 24, what is x? (a) 3 (b) 1 (c) 2 (d) 14
  17. 17.If x/5 + 1 = 4, what is x? (a) 3 (b) 19 (c) 25 (d) 15
  18. 18.If x/3 + 7 = 13, what is x? (a) 18 (b) 60 (c) 6 (d) 32
  19. 19.If 8x + 15 = x + 85, what is x? (a) 10 (b) 12 (c) 11 (d) 9
  20. 20.If x/3 + 6 = 15, what is x? (a) 9 (b) 63 (c) 39 (d) 27
  21. 21.If 9x + 7 = 88, what is x? (a) 10 (b) 9 (c) 8 (d) 81
  22. 22.If 6x + 5 = x + 40, what is x? (a) 7 (b) 5 (c) 8 (d) 9
  23. 23.If 9x + 7 = 52, what is x? (a) 45 (b) 5 (c) 4 (d) 6
  24. 24.If 4x + 5 = 2x + 17, what is x? (a) 7 (b) 6 (c) 2 (d) 11
  25. 25.If 7x − 18 = 3, what is x? (a) 4 (b) 21 (c) 3 (d) 2
  26. 26.If 5x − 23 = 17, what is x? (a) 7 (b) 9 (c) 8 (d) 40
  27. 27.If x/2 + 8 = 14, what is x? (a) 20 (b) 44 (c) 12 (d) 6
  28. 28.If x/5 + 11 = 23, what is x? (a) 170 (b) 12 (c) 60 (d) 104
  29. 29.If 3x − 5 = 31, what is x? (a) 12 (b) 13 (c) 11 (d) 36
  30. 30.If 8x − 68 = 36, what is x? (a) 14 (b) 13 (c) 12 (d) 104
  31. 31.If 3x + 20 = x + 24, what is x? (a) 1 (b) 22 (c) 3 (d) 2
  32. 32.If x/2 + 4 = 15, what is x? (a) 26 (b) 22 (c) 11 (d) 38
  33. 33.If 5x − 19 = 31, what is x? (a) 50 (b) 10 (c) 9 (d) 11
  34. 34.If 4x + 11 = 59, what is x? (a) 13 (b) 12 (c) 48 (d) 11
  35. 35.If 7x + 11 = 53, what is x? (a) 42 (b) 7 (c) 6 (d) 5
  36. 36.If x/2 + 5 = 9, what is x? (a) 13 (b) 4 (c) 8 (d) 28
  37. 37.If x/4 + 10 = 13, what is x? (a) 42 (b) 92 (c) 12 (d) 3
  38. 38.If x/3 + 7 = 9, what is x? (a) 20 (b) 6 (c) 2 (d) 48
  39. 39.If 5x − 59 = 6, what is x? (a) 65 (b) 12 (c) 14 (d) 13
  40. 40.If 5x − 23 = 37, what is x? (a) 12 (b) 11 (c) 13 (d) 60

Answer key

  1. 45
  2. 12
  3. 9
  4. 12
  5. 8
  6. 3
  7. 12
  8. 4
  9. 10
  10. 9
  11. 5
  12. 14
  13. 7
  14. 12
  15. 15
  16. 2
  17. 15
  18. 18
  19. 10
  20. 27
  21. 9
  22. 7
  23. 5
  24. 6
  25. 3
  26. 8
  27. 12
  28. 60
  29. 12
  30. 13
  31. 2
  32. 22
  33. 10
  34. 12
  35. 6
  36. 8
  37. 12
  38. 6
  39. 13
  40. 12

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