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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 812 · 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 8x + 23 = 63, what is x? (a) 6 (b) 5 (c) 4 (d) 40
  2. 2.If 5x − 13 = 12, what is x? (a) 5 (b) 25 (c) 4 (d) 6
  3. 3.If x/5 + 7 = 11, what is x? (a) 4 (b) 20 (c) 90 (d) 48
  4. 4.If x/4 + 9 = 13, what is x? (a) 88 (b) 43 (c) 16 (d) 4
  5. 5.If x/4 + 12 = 19, what is x? (a) 64 (b) 124 (c) 28 (d) 7
  6. 6.If 4x + 1 = 3x + 8, what is x? (a) 8 (b) 7 (c) 1 (d) 9
  7. 7.If 9x + 14 = 59, what is x? (a) 45 (b) 6 (c) 4 (d) 5
  8. 8.If x/4 + 6 = 13, what is x? (a) 28 (b) 46 (c) 76 (d) 7
  9. 9.If 2x + 14 = 36, what is x? (a) 22 (b) 25 (c) 11 (d) 12
  10. 10.If 5x − 5 = 15, what is x? (a) 5 (b) 20 (c) 4 (d) 2
  11. 11.If 5x + 21 = 36, what is x? (a) 4 (b) 2 (c) 15 (d) 3
  12. 12.If 5x − 6 = 4, what is x? (a) 1 (b) 10 (c) 2 (d) 3
  13. 13.If 5x + 2 = 72, what is x? (a) 13 (b) 70 (c) 14 (d) 15
  14. 14.If 3x + 18 = 2x + 20, what is x? (a) 2 (b) 3 (c) 4 (d) 38
  15. 15.If 5x − 18 = 12, what is x? (a) 5 (b) 7 (c) 30 (d) 6
  16. 16.If 6x + 18 = 4x + 32, what is x? (a) 25 (b) 7 (c) 9 (d) 8
  17. 17.If x/2 + 15 = 20, what is x? (a) 70 (b) 5 (c) 10 (d) 25
  18. 18.If 5x + 11 = 46, what is x? (a) 7 (b) 35 (c) 6 (d) 8
  19. 19.If x/5 + 7 = 14, what is x? (a) 35 (b) 63 (c) 105 (d) 7
  20. 20.If 3x − 4 = 11, what is x? (a) 6 (b) 4 (c) 15 (d) 5
  21. 21.If 8x + 2 = 2x + 44, what is x? (a) 9 (b) 8 (c) 6 (d) 7
  22. 22.If 5x − 5 = 20, what is x? (a) 25 (b) 3 (c) 6 (d) 5
  23. 23.If 3x + 8 = x + 28, what is x? (a) 10 (b) 11 (c) 5 (d) 18
  24. 24.If 6x + 12 = 72, what is x? (a) 14 (b) 11 (c) 10 (d) 60
  25. 25.If 2x + 14 = 44, what is x? (a) 30 (b) 16 (c) 29 (d) 15
  26. 26.If x/2 + 10 = 21, what is x? (a) 32 (b) 62 (c) 22 (d) 11
  27. 27.If 6x + 12 = 3x + 33, what is x? (a) 8 (b) 15 (c) 9 (d) 7
  28. 28.If x/4 + 13 = 16, what is x? (a) 3 (b) 116 (c) 12 (d) 51
  29. 29.If 3x + 9 = x + 17, what is x? (a) 5 (b) 4 (c) 13 (d) 2
  30. 30.If 2x − 7 = 21, what is x? (a) 28 (b) 7 (c) 15 (d) 14
  31. 31.If 3x + 9 = 51, what is x? (a) 14 (b) 42 (c) 15 (d) 20
  32. 32.If x/2 + 14 = 20, what is x? (a) 68 (b) 6 (c) 26 (d) 12
  33. 33.If x/2 + 8 = 11, what is x? (a) 38 (b) 6 (c) 3 (d) 14
  34. 34.If x/5 + 3 = 10, what is x? (a) 35 (b) 7 (c) 65 (d) 47
  35. 35.If 2x − 2 = 14, what is x? (a) 16 (b) 6 (c) 9 (d) 8
  36. 36.If x/6 + 2 = 6, what is x? (a) 48 (b) 4 (c) 34 (d) 24
  37. 37.If 5x + 24 = 44, what is x? (a) 5 (b) 4 (c) 20 (d) 3
  38. 38.If 3x + 5 = 47, what is x? (a) 15 (b) 13 (c) 14 (d) 42
  39. 39.If 6x + 20 = 4x + 32, what is x? (a) 8 (b) 6 (c) 26 (d) 7
  40. 40.If x/6 + 4 = 10, what is x? (a) 84 (b) 56 (c) 6 (d) 36

Answer key

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

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