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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 399 · 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 + 13 = x + 46, what is x? (a) 13 (b) 11 (c) 12 (d) 10
  2. 2.If 7x − 26 = 72, what is x? (a) 98 (b) 14 (c) 13 (d) 15
  3. 3.If 5x − 37 = 3, what is x? (a) 40 (b) 7 (c) 9 (d) 8
  4. 4.If 4x − 5 = 15, what is x? (a) 4 (b) 6 (c) 5 (d) 20
  5. 5.If 3x + 11 = 26, what is x? (a) 4 (b) 15 (c) 6 (d) 5
  6. 6.If 7x + 19 = 2x + 79, what is x? (a) 13 (b) 12 (c) 11 (d) 14
  7. 7.If 4x + 8 = 2x + 32, what is x? (a) 4 (b) 20 (c) 12 (d) 13
  8. 8.If x/5 + 1 = 11, what is x? (a) 10 (b) 50 (c) 54 (d) 60
  9. 9.If 7x − 9 = 12, what is x? (a) 3 (b) 2 (c) 4 (d) 21
  10. 10.If x/5 + 7 = 13, what is x? (a) 100 (b) 30 (c) 58 (d) 6
  11. 11.If 7x − 18 = 45, what is x? (a) 63 (b) 8 (c) 10 (d) 9
  12. 12.If 8x + 3 = 4x + 19, what is x? (a) 4 (b) 5 (c) 6 (d) 3
  13. 13.If 4x − 37 = 19, what is x? (a) 15 (b) 14 (c) 56 (d) 13
  14. 14.If 2x + 25 = 47, what is x? (a) 12 (b) 36 (c) 22 (d) 11
  15. 15.If 4x + 17 = 3x + 21, what is x? (a) 4 (b) 6 (c) 38 (d) 5
  16. 16.If 6x + 3 = 5x + 7, what is x? (a) 5 (b) 10 (c) 6 (d) 4
  17. 17.If 8x + 3 = 5x + 15, what is x? (a) 6 (b) 4 (c) 5 (d) 3
  18. 18.If 9x + 18 = 126, what is x? (a) 16 (b) 13 (c) 12 (d) 108
  19. 19.If 8x + 7 = 47, what is x? (a) 4 (b) 40 (c) 6 (d) 5
  20. 20.If 7x + 6 = 2x + 41, what is x? (a) 9 (b) 6 (c) 7 (d) 8
  21. 21.If 4x − 39 = 21, what is x? (a) 60 (b) 16 (c) 15 (d) 14
  22. 22.If 3x + 12 = 45, what is x? (a) 11 (b) 33 (c) 19 (d) 12
  23. 23.If 8x − 4 = 12, what is x? (a) 3 (b) 16 (c) 2 (d) 1
  24. 24.If 8x + 12 = 28, what is x? (a) 16 (b) 2 (c) 5 (d) 3
  25. 25.If 3x + 6 = 18, what is x? (a) 8 (b) 4 (c) 12 (d) 5
  26. 26.If 7x + 13 = x + 25, what is x? (a) 3 (b) 1 (c) 2 (d) 4
  27. 27.If 6x + 11 = x + 66, what is x? (a) 13 (b) 12 (c) 10 (d) 11
  28. 28.If 4x + 14 = 38, what is x? (a) 13 (b) 24 (c) 7 (d) 6
  29. 29.If x/3 + 5 = 7, what is x? (a) 2 (b) 16 (c) 36 (d) 6
  30. 30.If x/4 + 14 = 24, what is x? (a) 40 (b) 10 (c) 82 (d) 152
  31. 31.If 3x − 19 = 5, what is x? (a) 8 (b) 9 (c) 24 (d) 7
  32. 32.If x/4 + 1 = 13, what is x? (a) 12 (b) 48 (c) 51 (d) 56
  33. 33.If 6x + 18 = x + 23, what is x? (a) 2 (b) 3 (c) 4 (d) 1
  34. 34.If 5x + 11 = 41, what is x? (a) 30 (b) 5 (c) 7 (d) 6
  35. 35.If 5x + 18 = x + 58, what is x? (a) 10 (b) 11 (c) 19 (d) 12
  36. 36.If 2x − 3 = 1, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  37. 37.If 3x + 15 = x + 27, what is x? (a) 21 (b) 6 (c) 3 (d) 7
  38. 38.If 2x + 13 = 31, what is x? (a) 18 (b) 9 (c) 22 (d) 10
  39. 39.If x/5 + 12 = 23, what is x? (a) 103 (b) 11 (c) 175 (d) 55
  40. 40.If 6x + 9 = 51, what is x? (a) 42 (b) 10 (c) 8 (d) 7

Answer key

  1. 11
  2. 14
  3. 8
  4. 5
  5. 5
  6. 12
  7. 12
  8. 50
  9. 3
  10. 30
  11. 9
  12. 4
  13. 14
  14. 11
  15. 4
  16. 4
  17. 4
  18. 12
  19. 5
  20. 7
  21. 15
  22. 11
  23. 2
  24. 2
  25. 4
  26. 2
  27. 11
  28. 6
  29. 6
  30. 40
  31. 8
  32. 48
  33. 1
  34. 6
  35. 10
  36. 2
  37. 6
  38. 9
  39. 55
  40. 7

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