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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 616 · 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 = 80, what is x? (a) 16 (b) 15 (c) 14 (d) 90
  2. 2.If x/2 + 9 = 15, what is x? (a) 12 (b) 48 (c) 6 (d) 21
  3. 3.If 8x − 51 = 61, what is x? (a) 15 (b) 112 (c) 14 (d) 13
  4. 4.If 4x + 5 = 29, what is x? (a) 6 (b) 5 (c) 7 (d) 24
  5. 5.If 7x + 5 = 19, what is x? (a) 1 (b) 2 (c) 3 (d) 14
  6. 6.If x/2 + 1 = 11, what is x? (a) 20 (b) 24 (c) 10 (d) 21
  7. 7.If 2x + 25 = 49, what is x? (a) 37 (b) 24 (c) 13 (d) 12
  8. 8.If 7x − 19 = 58, what is x? (a) 12 (b) 77 (c) 10 (d) 11
  9. 9.If 4x − 1 = 27, what is x? (a) 28 (b) 8 (c) 6 (d) 7
  10. 10.If 7x − 19 = 9, what is x? (a) 28 (b) 5 (c) 3 (d) 4
  11. 11.If x/5 + 1 = 10, what is x? (a) 49 (b) 45 (c) 9 (d) 55
  12. 12.If 3x − 17 = 22, what is x? (a) 13 (b) 14 (c) 12 (d) 39
  13. 13.If 6x + 4 = 3x + 19, what is x? (a) 4 (b) 5 (c) 7 (d) 6
  14. 14.If 3x − 3 = 15, what is x? (a) 4 (b) 7 (c) 6 (d) 18
  15. 15.If 4x − 6 = 46, what is x? (a) 10 (b) 13 (c) 14 (d) 52
  16. 16.If 4x + 21 = 41, what is x? (a) 4 (b) 20 (c) 5 (d) 6
  17. 17.If 8x + 3 = 83, what is x? (a) 80 (b) 9 (c) 11 (d) 10
  18. 18.If x/6 + 9 = 14, what is x? (a) 138 (b) 5 (c) 30 (d) 75
  19. 19.If x/2 + 6 = 18, what is x? (a) 24 (b) 12 (c) 30 (d) 48
  20. 20.If 6x + 1 = 13, what is x? (a) 1 (b) 2 (c) 3 (d) 12
  21. 21.If 8x − 21 = 3, what is x? (a) 2 (b) 4 (c) 24 (d) 3
  22. 22.If 4x + 9 = 3x + 14, what is x? (a) 5 (b) 6 (c) 23 (d) 7
  23. 23.If x/5 + 15 = 26, what is x? (a) 55 (b) 115 (c) 205 (d) 11
  24. 24.If 5x − 2 = 8, what is x? (a) 1 (b) 2 (c) 10 (d) 3
  25. 25.If 5x + 1 = 3x + 23, what is x? (a) 13 (b) 10 (c) 12 (d) 11
  26. 26.If 8x + 12 = 100, what is x? (a) 88 (b) 11 (c) 12 (d) 14
  27. 27.If x/5 + 5 = 17, what is x? (a) 110 (b) 80 (c) 60 (d) 12
  28. 28.If 4x − 12 = 24, what is x? (a) 36 (b) 9 (c) 10 (d) 3
  29. 29.If 2x − 18 = 10, what is x? (a) 13 (b) 28 (c) 14 (d) 15
  30. 30.If 7x + 3 = 5x + 7, what is x? (a) 3 (b) 2 (c) 5 (d) 4
  31. 31.If 6x + 21 = 69, what is x? (a) 9 (b) 8 (c) 48 (d) 15
  32. 32.If x/4 + 12 = 21, what is x? (a) 132 (b) 72 (c) 36 (d) 9
  33. 33.If 8x − 31 = 81, what is x? (a) 112 (b) 15 (c) 14 (d) 13
  34. 34.If x/5 + 2 = 9, what is x? (a) 35 (b) 43 (c) 7 (d) 55
  35. 35.If 2x − 27 = 3, what is x? (a) 14 (b) 15 (c) 16 (d) 30
  36. 36.If 3x + 16 = 34, what is x? (a) 5 (b) 18 (c) 6 (d) 7
  37. 37.If 6x + 12 = 42, what is x? (a) 6 (b) 30 (c) 9 (d) 5
  38. 38.If 9x + 23 = 95, what is x? (a) 72 (b) 9 (c) 7 (d) 8
  39. 39.If x/6 + 14 = 18, what is x? (a) 94 (b) 24 (c) 4 (d) 192
  40. 40.If x/3 + 8 = 12, what is x? (a) 28 (b) 4 (c) 60 (d) 12

Answer key

  1. 15
  2. 12
  3. 14
  4. 6
  5. 2
  6. 20
  7. 12
  8. 11
  9. 7
  10. 4
  11. 45
  12. 13
  13. 5
  14. 6
  15. 13
  16. 5
  17. 10
  18. 30
  19. 24
  20. 2
  21. 3
  22. 5
  23. 55
  24. 2
  25. 11
  26. 11
  27. 60
  28. 9
  29. 14
  30. 2
  31. 8
  32. 36
  33. 14
  34. 35
  35. 15
  36. 6
  37. 5
  38. 8
  39. 24
  40. 12

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