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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 678 · 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 + 21 = 70, what is x? (a) 8 (b) 49 (c) 13 (d) 7
  2. 2.If 6x + 20 = 5x + 26, what is x? (a) 46 (b) 8 (c) 7 (d) 6
  3. 3.If 5x − 17 = 8, what is x? (a) 6 (b) 4 (c) 5 (d) 25
  4. 4.If 9x + 22 = 40, what is x? (a) 1 (b) 3 (c) 18 (d) 2
  5. 5.If x/5 + 7 = 16, what is x? (a) 73 (b) 9 (c) 45 (d) 115
  6. 6.If 3x + 4 = x + 10, what is x? (a) 7 (b) 3 (c) 5 (d) 4
  7. 7.If 7x + 9 = 65, what is x? (a) 9 (b) 8 (c) 7 (d) 56
  8. 8.If 5x − 4 = 16, what is x? (a) 5 (b) 3 (c) 20 (d) 4
  9. 9.If 3x + 26 = 47, what is x? (a) 8 (b) 6 (c) 7 (d) 21
  10. 10.If 3x − 3 = 3, what is x? (a) 6 (b) 3 (c) 2 (d) 1
  11. 11.If 6x + 14 = 4x + 32, what is x? (a) 9 (b) 11 (c) 23 (d) 10
  12. 12.If 2x + 7 = 11, what is x? (a) 3 (b) 9 (c) 2 (d) 4
  13. 13.If 9x + 5 = 59, what is x? (a) 7 (b) 54 (c) 6 (d) 5
  14. 14.If 6x + 2 = 50, what is x? (a) 8 (b) 48 (c) 9 (d) 7
  15. 15.If 7x + 14 = 63, what is x? (a) 7 (b) 8 (c) 11 (d) 49
  16. 16.If x/6 + 2 = 9, what is x? (a) 66 (b) 7 (c) 52 (d) 42
  17. 17.If 5x + 16 = 2x + 40, what is x? (a) 8 (b) 10 (c) 7 (d) 9
  18. 18.If x/6 + 14 = 26, what is x? (a) 72 (b) 12 (c) 240 (d) 142
  19. 19.If 6x − 68 = 4, what is x? (a) 11 (b) 72 (c) 12 (d) 13
  20. 20.If 9x + 5 = 50, what is x? (a) 4 (b) 5 (c) 45 (d) 6
  21. 21.If 5x + 2 = 4x + 5, what is x? (a) 5 (b) 7 (c) 3 (d) 4
  22. 22.If x/3 + 2 = 6, what is x? (a) 24 (b) 12 (c) 4 (d) 16
  23. 23.If 9x + 18 = 6x + 21, what is x? (a) 2 (b) 1 (c) 3 (d) 13
  24. 24.If 7x − 66 = 4, what is x? (a) 70 (b) 10 (c) 9 (d) 11
  25. 25.If 5x + 30 = 65, what is x? (a) 8 (b) 7 (c) 35 (d) 19
  26. 26.If 9x + 19 = 8x + 31, what is x? (a) 50 (b) 14 (c) 12 (d) 13
  27. 27.If 7x − 19 = 86, what is x? (a) 15 (b) 105 (c) 14 (d) 16
  28. 28.If 3x + 10 = 25, what is x? (a) 15 (b) 4 (c) 5 (d) 6
  29. 29.If 3x + 10 = x + 28, what is x? (a) 10 (b) 9 (c) 19 (d) 11
  30. 30.If x/6 + 13 = 15, what is x? (a) 2 (b) 77 (c) 168 (d) 12
  31. 31.If 7x + 17 = 87, what is x? (a) 10 (b) 9 (c) 70 (d) 11
  32. 32.If 6x + 14 = x + 44, what is x? (a) 5 (b) 8 (c) 6 (d) 7
  33. 33.If 7x + 1 = 99, what is x? (a) 98 (b) 14 (c) 13 (d) 15
  34. 34.If 4x + 2 = x + 23, what is x? (a) 9 (b) 6 (c) 8 (d) 7
  35. 35.If 5x + 18 = 38, what is x? (a) 4 (b) 5 (c) 3 (d) 20
  36. 36.If x/2 + 14 = 22, what is x? (a) 30 (b) 72 (c) 8 (d) 16
  37. 37.If 2x − 1 = 9, what is x? (a) 10 (b) 6 (c) 5 (d) 4
  38. 38.If 3x + 21 = 36, what is x? (a) 6 (b) 15 (c) 5 (d) 19
  39. 39.If 7x − 25 = 10, what is x? (a) 35 (b) 4 (c) 6 (d) 5
  40. 40.If 4x + 1 = 45, what is x? (a) 11 (b) 10 (c) 12 (d) 44

Answer key

  1. 7
  2. 6
  3. 5
  4. 2
  5. 45
  6. 3
  7. 8
  8. 4
  9. 7
  10. 2
  11. 9
  12. 2
  13. 6
  14. 8
  15. 7
  16. 42
  17. 8
  18. 72
  19. 12
  20. 5
  21. 3
  22. 12
  23. 1
  24. 10
  25. 7
  26. 12
  27. 15
  28. 5
  29. 9
  30. 12
  31. 10
  32. 6
  33. 14
  34. 7
  35. 4
  36. 16
  37. 5
  38. 5
  39. 5
  40. 11

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