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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 85 · 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 x/5 + 10 = 21, what is x? (a) 55 (b) 95 (c) 11 (d) 155
  2. 2.If 4x + 12 = 3x + 20, what is x? (a) 8 (b) 9 (c) 32 (d) 10
  3. 3.If x/5 + 3 = 6, what is x? (a) 3 (b) 45 (c) 27 (d) 15
  4. 4.If x/5 + 4 = 12, what is x? (a) 8 (b) 80 (c) 56 (d) 40
  5. 5.If 3x − 10 = 17, what is x? (a) 8 (b) 10 (c) 27 (d) 9
  6. 6.If 7x − 21 = 49, what is x? (a) 70 (b) 11 (c) 10 (d) 4
  7. 7.If 2x + 25 = 45, what is x? (a) 35 (b) 20 (c) 11 (d) 10
  8. 8.If x/4 + 10 = 21, what is x? (a) 74 (b) 124 (c) 11 (d) 44
  9. 9.If 2x + 22 = 32, what is x? (a) 10 (b) 27 (c) 5 (d) 6
  10. 10.If 6x + 30 = 72, what is x? (a) 8 (b) 17 (c) 42 (d) 7
  11. 11.If 9x + 6 = 7x + 20, what is x? (a) 9 (b) 7 (c) 8 (d) 13
  12. 12.If x/3 + 7 = 10, what is x? (a) 51 (b) 3 (c) 9 (d) 23
  13. 13.If 4x − 15 = 33, what is x? (a) 48 (b) 13 (c) 11 (d) 12
  14. 14.If 4x + 2 = 2x + 14, what is x? (a) 8 (b) 6 (c) 7 (d) 2
  15. 15.If 5x + 1 = 71, what is x? (a) 14 (b) 15 (c) 70 (d) 13
  16. 16.If 6x + 10 = x + 15, what is x? (a) 3 (b) 1 (c) 2 (d) 5
  17. 17.If 3x − 3 = 9, what is x? (a) 12 (b) 5 (c) 4 (d) 2
  18. 18.If x/5 + 2 = 11, what is x? (a) 65 (b) 45 (c) 9 (d) 53
  19. 19.If x/5 + 3 = 11, what is x? (a) 40 (b) 52 (c) 70 (d) 8
  20. 20.If 7x + 13 = 34, what is x? (a) 21 (b) 2 (c) 4 (d) 3
  21. 21.If 6x − 10 = 26, what is x? (a) 5 (b) 7 (c) 36 (d) 6
  22. 22.If 3x + 29 = 47, what is x? (a) 7 (b) 6 (c) 5 (d) 18
  23. 23.If 2x − 27 = 1, what is x? (a) 13 (b) 14 (c) 28 (d) 15
  24. 24.If 4x + 4 = 24, what is x? (a) 5 (b) 20 (c) 7 (d) 6
  25. 25.If 9x + 6 = 4x + 56, what is x? (a) 12 (b) 9 (c) 10 (d) 11
  26. 26.If x/5 + 9 = 14, what is x? (a) 61 (b) 25 (c) 5 (d) 115
  27. 27.If 5x + 16 = 4x + 19, what is x? (a) 3 (b) 4 (c) 35 (d) 5
  28. 28.If 5x + 6 = 2x + 21, what is x? (a) 5 (b) 9 (c) 6 (d) 7
  29. 29.If 4x + 15 = 23, what is x? (a) 3 (b) 8 (c) 1 (d) 2
  30. 30.If 4x + 1 = x + 37, what is x? (a) 12 (b) 14 (c) 11 (d) 13
  31. 31.If x/6 + 15 = 24, what is x? (a) 9 (b) 54 (c) 234 (d) 129
  32. 32.If 6x + 16 = 28, what is x? (a) 3 (b) 1 (c) 12 (d) 2
  33. 33.If 3x + 12 = 45, what is x? (a) 19 (b) 11 (c) 12 (d) 33
  34. 34.If 4x − 5 = 11, what is x? (a) 16 (b) 5 (c) 3 (d) 4
  35. 35.If 8x + 13 = 7x + 22, what is x? (a) 9 (b) 10 (c) 11 (d) 35
  36. 36.If 6x − 14 = 4, what is x? (a) 3 (b) 4 (c) 2 (d) 18
  37. 37.If 5x + 20 = 35, what is x? (a) 11 (b) 4 (c) 3 (d) 15
  38. 38.If x/4 + 13 = 23, what is x? (a) 79 (b) 144 (c) 10 (d) 40
  39. 39.If 6x + 18 = 60, what is x? (a) 7 (b) 13 (c) 8 (d) 42
  40. 40.If 3x + 13 = 58, what is x? (a) 15 (b) 45 (c) 14 (d) 16

Answer key

  1. 55
  2. 8
  3. 15
  4. 40
  5. 9
  6. 10
  7. 10
  8. 44
  9. 5
  10. 7
  11. 7
  12. 9
  13. 12
  14. 6
  15. 14
  16. 1
  17. 4
  18. 45
  19. 40
  20. 3
  21. 6
  22. 6
  23. 14
  24. 5
  25. 10
  26. 25
  27. 3
  28. 5
  29. 2
  30. 12
  31. 54
  32. 2
  33. 11
  34. 4
  35. 9
  36. 3
  37. 3
  38. 40
  39. 7
  40. 15

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