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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 410 · 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 2x − 3 = 17, what is x? (a) 20 (b) 10 (c) 11 (d) 7
  2. 2.If x/5 + 10 = 17, what is x? (a) 7 (b) 135 (c) 75 (d) 35
  3. 3.If 7x − 6 = 15, what is x? (a) 2 (b) 4 (c) 3 (d) 21
  4. 4.If 5x − 4 = 6, what is x? (a) 3 (b) 1 (c) 10 (d) 2
  5. 5.If 4x + 23 = 47, what is x? (a) 24 (b) 7 (c) 5 (d) 6
  6. 6.If 9x + 20 = 146, what is x? (a) 14 (b) 15 (c) 13 (d) 126
  7. 7.If x/5 + 3 = 7, what is x? (a) 50 (b) 20 (c) 4 (d) 32
  8. 8.If x/5 + 7 = 17, what is x? (a) 78 (b) 10 (c) 50 (d) 120
  9. 9.If 3x − 4 = 2, what is x? (a) 6 (b) 3 (c) 2 (d) 1
  10. 10.If 2x + 23 = 47, what is x? (a) 24 (b) 35 (c) 12 (d) 13
  11. 11.If 8x + 11 = 115, what is x? (a) 14 (b) 12 (c) 104 (d) 13
  12. 12.If 7x − 44 = 26, what is x? (a) 11 (b) 9 (c) 70 (d) 10
  13. 13.If x/4 + 8 = 12, what is x? (a) 80 (b) 40 (c) 16 (d) 4
  14. 14.If 6x + 16 = x + 76, what is x? (a) 14 (b) 13 (c) 11 (d) 12
  15. 15.If 5x − 55 = 5, what is x? (a) 60 (b) 11 (c) 12 (d) 13
  16. 16.If x/6 + 12 = 19, what is x? (a) 186 (b) 42 (c) 7 (d) 102
  17. 17.If 2x − 12 = 14, what is x? (a) 1 (b) 13 (c) 26 (d) 14
  18. 18.If x/4 + 4 = 12, what is x? (a) 64 (b) 32 (c) 44 (d) 8
  19. 19.If 5x + 7 = 52, what is x? (a) 45 (b) 9 (c) 10 (d) 8
  20. 20.If x/2 + 9 = 20, what is x? (a) 11 (b) 22 (c) 58 (d) 31
  21. 21.If x/2 + 13 = 17, what is x? (a) 60 (b) 21 (c) 8 (d) 4
  22. 22.If 3x + 11 = 41, what is x? (a) 11 (b) 10 (c) 30 (d) 9
  23. 23.If 5x − 4 = 21, what is x? (a) 6 (b) 4 (c) 25 (d) 5
  24. 24.If 8x + 11 = 6x + 25, what is x? (a) 18 (b) 1 (c) 8 (d) 7
  25. 25.If 9x + 20 = 7x + 24, what is x? (a) 2 (b) 22 (c) 4 (d) 3
  26. 26.If x/5 + 7 = 19, what is x? (a) 88 (b) 60 (c) 130 (d) 12
  27. 27.If 3x − 6 = 9, what is x? (a) 5 (b) 1 (c) 6 (d) 15
  28. 28.If 7x + 3 = 73, what is x? (a) 10 (b) 11 (c) 9 (d) 70
  29. 29.If 7x + 30 = 44, what is x? (a) 3 (b) 2 (c) 1 (d) 14
  30. 30.If 3x + 26 = 41, what is x? (a) 15 (b) 6 (c) 4 (d) 5
  31. 31.If x/4 + 2 = 5, what is x? (a) 28 (b) 12 (c) 18 (d) 3
  32. 32.If 2x − 7 = 7, what is x? (a) 14 (b) 8 (c) 7 (d) 6
  33. 33.If x/4 + 9 = 14, what is x? (a) 47 (b) 5 (c) 20 (d) 92
  34. 34.If 7x + 8 = 3x + 44, what is x? (a) 10 (b) 9 (c) 13 (d) 11
  35. 35.If 8x + 3 = 2x + 33, what is x? (a) 7 (b) 5 (c) 6 (d) 3
  36. 36.If 3x + 23 = 41, what is x? (a) 5 (b) 18 (c) 6 (d) 7
  37. 37.If 8x + 14 = 78, what is x? (a) 7 (b) 8 (c) 9 (d) 64
  38. 38.If x/5 + 2 = 13, what is x? (a) 75 (b) 63 (c) 11 (d) 55
  39. 39.If x/6 + 11 = 20, what is x? (a) 186 (b) 109 (c) 9 (d) 54
  40. 40.If x/5 + 11 = 23, what is x? (a) 12 (b) 170 (c) 60 (d) 104

Answer key

  1. 10
  2. 35
  3. 3
  4. 2
  5. 6
  6. 14
  7. 20
  8. 50
  9. 2
  10. 12
  11. 13
  12. 10
  13. 16
  14. 12
  15. 12
  16. 42
  17. 13
  18. 32
  19. 9
  20. 22
  21. 8
  22. 10
  23. 5
  24. 7
  25. 2
  26. 60
  27. 5
  28. 10
  29. 2
  30. 5
  31. 12
  32. 7
  33. 20
  34. 9
  35. 5
  36. 6
  37. 8
  38. 55
  39. 54
  40. 60

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