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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 452 · 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 7x − 10 = 25, what is x? (a) 4 (b) 6 (c) 5 (d) 35
  2. 2.If 2x + 29 = 47, what is x? (a) 10 (b) 9 (c) 18 (d) 38
  3. 3.If x/5 + 12 = 15, what is x? (a) 3 (b) 135 (c) 63 (d) 15
  4. 4.If 5x + 1 = 66, what is x? (a) 12 (b) 14 (c) 65 (d) 13
  5. 5.If 8x + 26 = 58, what is x? (a) 4 (b) 3 (c) 32 (d) 5
  6. 6.If 8x + 13 = 3x + 63, what is x? (a) 11 (b) 12 (c) 10 (d) 9
  7. 7.If x/2 + 4 = 16, what is x? (a) 12 (b) 24 (c) 28 (d) 40
  8. 8.If 8x + 13 = 5x + 22, what is x? (a) 4 (b) 2 (c) 3 (d) 5
  9. 9.If 4x + 28 = 36, what is x? (a) 2 (b) 8 (c) 3 (d) 16
  10. 10.If 8x − 50 = 70, what is x? (a) 15 (b) 14 (c) 16 (d) 120
  11. 11.If 4x + 29 = 49, what is x? (a) 6 (b) 20 (c) 4 (d) 5
  12. 12.If x/5 + 11 = 20, what is x? (a) 89 (b) 45 (c) 155 (d) 9
  13. 13.If 8x + 25 = 105, what is x? (a) 11 (b) 10 (c) 80 (d) 9
  14. 14.If 8x + 2 = 4x + 30, what is x? (a) 6 (b) 9 (c) 7 (d) 8
  15. 15.If 3x + 13 = 34, what is x? (a) 7 (b) 21 (c) 8 (d) 6
  16. 16.If 4x − 7 = 1, what is x? (a) 2 (b) 1 (c) 8 (d) 3
  17. 17.If 7x + 5 = 103, what is x? (a) 15 (b) 98 (c) 14 (d) 13
  18. 18.If x/4 + 11 = 18, what is x? (a) 61 (b) 28 (c) 116 (d) 7
  19. 19.If 7x + 4 = 5x + 8, what is x? (a) 3 (b) 6 (c) 4 (d) 2
  20. 20.If 6x + 7 = 73, what is x? (a) 66 (b) 12 (c) 11 (d) 10
  21. 21.If 7x − 95 = 3, what is x? (a) 98 (b) 13 (c) 14 (d) 15
  22. 22.If x/4 + 6 = 10, what is x? (a) 64 (b) 16 (c) 4 (d) 34
  23. 23.If x/4 + 13 = 17, what is x? (a) 55 (b) 16 (c) 4 (d) 120
  24. 24.If x/2 + 7 = 18, what is x? (a) 29 (b) 11 (c) 22 (d) 50
  25. 25.If x/3 + 1 = 7, what is x? (a) 6 (b) 24 (c) 20 (d) 18
  26. 26.If x/5 + 5 = 17, what is x? (a) 80 (b) 110 (c) 60 (d) 12
  27. 27.If x/6 + 2 = 7, what is x? (a) 5 (b) 30 (c) 40 (d) 54
  28. 28.If 6x − 24 = 42, what is x? (a) 66 (b) 11 (c) 12 (d) 3
  29. 29.If 9x + 12 = 138, what is x? (a) 14 (b) 13 (c) 126 (d) 15
  30. 30.If 9x + 6 = 8x + 8, what is x? (a) 2 (b) 3 (c) 4 (d) 14
  31. 31.If x/4 + 7 = 9, what is x? (a) 29 (b) 8 (c) 2 (d) 64
  32. 32.If 3x − 19 = 20, what is x? (a) 12 (b) 13 (c) 39 (d) 14
  33. 33.If x/4 + 15 = 22, what is x? (a) 73 (b) 148 (c) 7 (d) 28
  34. 34.If 2x + 7 = 35, what is x? (a) 28 (b) 21 (c) 15 (d) 14
  35. 35.If 6x + 6 = 5x + 15, what is x? (a) 21 (b) 11 (c) 9 (d) 10
  36. 36.If x/4 + 5 = 15, what is x? (a) 40 (b) 80 (c) 10 (d) 55
  37. 37.If 6x + 18 = 4x + 32, what is x? (a) 7 (b) 25 (c) 9 (d) 8
  38. 38.If 8x + 13 = 2x + 25, what is x? (a) 4 (b) 1 (c) 3 (d) 2
  39. 39.If 6x − 9 = 3, what is x? (a) 3 (b) 12 (c) 1 (d) 2
  40. 40.If 6x − 29 = 1, what is x? (a) 30 (b) 4 (c) 5 (d) 6

Answer key

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

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