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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 382 · 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 4x − 8 = 16, what is x? (a) 6 (b) 7 (c) 24 (d) 2
  2. 2.If 4x + 26 = 34, what is x? (a) 2 (b) 3 (c) 8 (d) 15
  3. 3.If 4x − 18 = 30, what is x? (a) 3 (b) 12 (c) 13 (d) 48
  4. 4.If x/5 + 15 = 25, what is x? (a) 110 (b) 200 (c) 10 (d) 50
  5. 5.If 9x + 1 = 2x + 85, what is x? (a) 11 (b) 13 (c) 12 (d) 14
  6. 6.If 7x + 1 = 71, what is x? (a) 70 (b) 10 (c) 9 (d) 11
  7. 7.If x/2 + 12 = 16, what is x? (a) 56 (b) 4 (c) 8 (d) 20
  8. 8.If 9x + 17 = 6x + 26, what is x? (a) 2 (b) 4 (c) 5 (d) 3
  9. 9.If 6x + 4 = x + 24, what is x? (a) 5 (b) 3 (c) 6 (d) 4
  10. 10.If 5x + 5 = 45, what is x? (a) 40 (b) 10 (c) 9 (d) 8
  11. 11.If 4x + 13 = 2x + 21, what is x? (a) 17 (b) 5 (c) 6 (d) 4
  12. 12.If 8x + 1 = 3x + 21, what is x? (a) 5 (b) 6 (c) 3 (d) 4
  13. 13.If 4x + 8 = 3x + 17, what is x? (a) 25 (b) 11 (c) 10 (d) 9
  14. 14.If 6x − 7 = 41, what is x? (a) 7 (b) 9 (c) 8 (d) 48
  15. 15.If x/5 + 1 = 3, what is x? (a) 20 (b) 14 (c) 2 (d) 10
  16. 16.If 2x + 29 = 59, what is x? (a) 16 (b) 30 (c) 15 (d) 44
  17. 17.If 2x − 2 = 22, what is x? (a) 13 (b) 12 (c) 24 (d) 10
  18. 18.If 7x − 28 = 21, what is x? (a) 7 (b) 6 (c) 8 (d) 49
  19. 19.If 7x − 83 = 22, what is x? (a) 14 (b) 105 (c) 15 (d) 16
  20. 20.If x/4 + 2 = 8, what is x? (a) 24 (b) 40 (c) 6 (d) 30
  21. 21.If x/5 + 13 = 15, what is x? (a) 10 (b) 140 (c) 62 (d) 2
  22. 22.If 7x + 10 = 5x + 30, what is x? (a) 10 (b) 12 (c) 11 (d) 20
  23. 23.If 9x + 3 = 48, what is x? (a) 45 (b) 4 (c) 5 (d) 6
  24. 24.If 6x − 1 = 17, what is x? (a) 3 (b) 2 (c) 4 (d) 18
  25. 25.If 4x − 10 = 10, what is x? (a) 4 (b) 20 (c) 6 (d) 5
  26. 26.If 5x − 14 = 21, what is x? (a) 8 (b) 7 (c) 6 (d) 35
  27. 27.If 7x + 9 = 65, what is x? (a) 9 (b) 7 (c) 56 (d) 8
  28. 28.If 9x − 6 = 21, what is x? (a) 27 (b) 3 (c) 4 (d) 2
  29. 29.If 9x − 8 = 19, what is x? (a) 4 (b) 2 (c) 27 (d) 3
  30. 30.If 2x + 6 = 22, what is x? (a) 16 (b) 9 (c) 8 (d) 14
  31. 31.If x/4 + 11 = 21, what is x? (a) 73 (b) 10 (c) 128 (d) 40
  32. 32.If 9x + 22 = 130, what is x? (a) 11 (b) 13 (c) 108 (d) 12
  33. 33.If 2x − 5 = 1, what is x? (a) 2 (b) 4 (c) 3 (d) 6
  34. 34.If 3x + 9 = 27, what is x? (a) 7 (b) 12 (c) 6 (d) 18
  35. 35.If 2x + 10 = 16, what is x? (a) 13 (b) 4 (c) 6 (d) 3
  36. 36.If 4x + 6 = x + 42, what is x? (a) 13 (b) 12 (c) 14 (d) 16
  37. 37.If x/2 + 4 = 15, what is x? (a) 26 (b) 11 (c) 38 (d) 22
  38. 38.If 4x − 16 = 40, what is x? (a) 56 (b) 14 (c) 15 (d) 6
  39. 39.If 3x + 8 = 17, what is x? (a) 4 (b) 3 (c) 9 (d) 2
  40. 40.If 9x − 2 = 52, what is x? (a) 7 (b) 54 (c) 5 (d) 6

Answer key

  1. 6
  2. 2
  3. 12
  4. 50
  5. 12
  6. 10
  7. 8
  8. 3
  9. 4
  10. 8
  11. 4
  12. 4
  13. 9
  14. 8
  15. 10
  16. 15
  17. 12
  18. 7
  19. 15
  20. 24
  21. 10
  22. 10
  23. 5
  24. 3
  25. 5
  26. 7
  27. 8
  28. 3
  29. 3
  30. 8
  31. 40
  32. 12
  33. 3
  34. 6
  35. 3
  36. 12
  37. 22
  38. 14
  39. 3
  40. 6

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