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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 518 · 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 6x + 10 = 88, what is x? (a) 78 (b) 14 (c) 13 (d) 12
  2. 2.If 3x − 16 = 14, what is x? (a) 30 (b) 11 (c) 10 (d) 9
  3. 3.If 8x − 8 = 24, what is x? (a) 32 (b) 4 (c) 5 (d) 2
  4. 4.If 4x + 15 = x + 30, what is x? (a) 5 (b) 6 (c) 15 (d) 3
  5. 5.If 9x + 17 = 2x + 87, what is x? (a) 9 (b) 11 (c) 10 (d) 12
  6. 6.If 5x + 18 = x + 42, what is x? (a) 6 (b) 15 (c) 7 (d) 4
  7. 7.If x/5 + 13 = 21, what is x? (a) 40 (b) 92 (c) 8 (d) 170
  8. 8.If 4x + 12 = 2x + 36, what is x? (a) 24 (b) 13 (c) 4 (d) 12
  9. 9.If x/4 + 4 = 7, what is x? (a) 3 (b) 24 (c) 12 (d) 44
  10. 10.If 9x + 8 = 3x + 26, what is x? (a) 5 (b) 4 (c) 3 (d) 2
  11. 11.If 2x − 1 = 17, what is x? (a) 9 (b) 8 (c) 18 (d) 10
  12. 12.If x/2 + 12 = 17, what is x? (a) 22 (b) 10 (c) 58 (d) 5
  13. 13.If 6x + 21 = 93, what is x? (a) 13 (b) 19 (c) 12 (d) 72
  14. 14.If 2x + 3 = 31, what is x? (a) 17 (b) 28 (c) 15 (d) 14
  15. 15.If 9x + 17 = 116, what is x? (a) 99 (b) 10 (c) 12 (d) 11
  16. 16.If 9x + 5 = 2x + 89, what is x? (a) 13 (b) 11 (c) 12 (d) 14
  17. 17.If 9x + 14 = 104, what is x? (a) 10 (b) 11 (c) 90 (d) 9
  18. 18.If x/2 + 2 = 11, what is x? (a) 9 (b) 20 (c) 18 (d) 26
  19. 19.If 9x + 4 = x + 84, what is x? (a) 12 (b) 10 (c) 8 (d) 11
  20. 20.If 3x + 11 = x + 27, what is x? (a) 4 (b) 9 (c) 19 (d) 8
  21. 21.If 3x − 5 = 1, what is x? (a) 1 (b) 6 (c) 3 (d) 2
  22. 22.If 2x + 18 = 28, what is x? (a) 10 (b) 5 (c) 23 (d) 6
  23. 23.If x/3 + 4 = 10, what is x? (a) 42 (b) 18 (c) 26 (d) 6
  24. 24.If x/3 + 15 = 19, what is x? (a) 4 (b) 42 (c) 12 (d) 102
  25. 25.If 3x − 5 = 22, what is x? (a) 10 (b) 8 (c) 9 (d) 27
  26. 26.If 7x + 22 = 99, what is x? (a) 10 (b) 77 (c) 12 (d) 11
  27. 27.If 4x − 3 = 21, what is x? (a) 5 (b) 6 (c) 24 (d) 7
  28. 28.If 4x + 2 = 38, what is x? (a) 10 (b) 36 (c) 9 (d) 8
  29. 29.If 2x + 27 = 41, what is x? (a) 7 (b) 34 (c) 8 (d) 14
  30. 30.If x/4 + 9 = 20, what is x? (a) 11 (b) 116 (c) 44 (d) 71
  31. 31.If x/6 + 8 = 13, what is x? (a) 126 (b) 70 (c) 30 (d) 5
  32. 32.If x/3 + 5 = 11, what is x? (a) 18 (b) 6 (c) 48 (d) 28
  33. 33.If x/4 + 1 = 10, what is x? (a) 44 (b) 9 (c) 36 (d) 39
  34. 34.If x/4 + 10 = 19, what is x? (a) 9 (b) 66 (c) 116 (d) 36
  35. 35.If x/4 + 3 = 8, what is x? (a) 29 (b) 20 (c) 44 (d) 5
  36. 36.If 5x + 15 = 3x + 17, what is x? (a) 16 (b) 1 (c) 3 (d) 2
  37. 37.If 5x − 28 = 42, what is x? (a) 70 (b) 14 (c) 13 (d) 15
  38. 38.If x/5 + 4 = 7, what is x? (a) 3 (b) 31 (c) 15 (d) 55
  39. 39.If 8x + 16 = 2x + 22, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  40. 40.If 2x + 14 = 32, what is x? (a) 9 (b) 10 (c) 18 (d) 23

Answer key

  1. 13
  2. 10
  3. 4
  4. 5
  5. 10
  6. 6
  7. 40
  8. 12
  9. 12
  10. 3
  11. 9
  12. 10
  13. 12
  14. 14
  15. 11
  16. 12
  17. 10
  18. 18
  19. 10
  20. 8
  21. 2
  22. 5
  23. 18
  24. 12
  25. 9
  26. 11
  27. 6
  28. 9
  29. 7
  30. 44
  31. 30
  32. 18
  33. 36
  34. 36
  35. 20
  36. 1
  37. 14
  38. 15
  39. 1
  40. 9

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