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Klataza 🧮 Math

Unit 38 · Review: mixed problems

🎯 Nullstellen

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Aufgaben

  1. 4x + 4 = 1x + 10 x =
  2. Anna has 6 apples and buys 7 more. How many does she have?
  3. f(x) = −2x³ − 3x² − 4x + 4. Berechne f'(−3).
  4. f(x) = x³ − 8x² + 15x. Bestimme alle Nullstellen. x =
  5. 4x = 16 x =
  6. Anna has 9 apples and buys 6 more. How many does she have?
  7. f(x) = −x³ + 2x² + 5x + 2. Bilde f'(x). f'(x) =
  8. f(x) = x³ + 4x² + 3x. Bestimme die größte Nullstelle.
  9. x + 3 = 15 x =
  10. 21 sweets are shared by 7 children. How many does each get?
  11. 6x + 13 = 79 x =
  12. A ticket costs 2 €. How much do 9 tickets cost?
  13. f(x) = −x³ − 4x² − 4x + 3. Bilde f'(x). f'(x) =
  14. f(x) = x³ − 7x² + 12x. Bestimme die größte Nullstelle.
  15. 3(x − 14) = -21 x =
  16. Anna has 5 apples and buys 9 more. How many does she have?
  17. f(x) = 3x³ + 4x² − 2x − 5. Berechne f'(0).
  18. f(x) = x³ − x² − 6x. Bestimme die größte Nullstelle.
  19. 6x = 18 x =
  20. Anna has 7 apples and buys 7 more. How many does she have?

Tipp: Do the same on both sides until x is alone.

Lösungen

1. x = 2 · 2. 13 · 3. −40 · 4. x = 0; 3; 5 · 5. x = 4 · 6. 15 · 7. f'(x) = −3x² + 4x + 5 · 8. 0 · 9. x = 12 · 10. 3 · 11. x = 11 · 12. 18 · 13. f'(x) = −3x² − 8x − 4 · 14. 4 · 15. x = 7 · 16. 14 · 17. −2 · 18. 3 · 19. x = 3 · 20. 14