Question |
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1. | The profit on a watch is given by P = x^{2} – 13x – 80, where x is the number of watches sold per day. How many watches were sold on a day when there was a $50 loss? |

2. | State which method should be applied as the first step for factoring the polynomial. (x + 9y)^{2} – 1 |

3. | Factor out the GCF with a negative coefficient. –40p^{2}q^{5} + 24p^{q4} – 40q^{3} |

4. | Simplify. |

5. | Factor 4x^{2}+5x-6 |

6. | Complete the following statement. 6m^{2} – 13mn – 15n^{2} = (m – 3n)(_____) |

7. | Add. Express your answer in simplest form. |

8. | During rush hour, Fernando can drive 25 miles using the side roads in the same time that it takes to travel 20 miles on the freeway. If Fernando's rate on the side roads is 9 mi/h faster than his rate on the freeway, find his rate on the side roads. |

9. | What values for x, if any, must be excluded in the following algebraic fraction? |

10. | Factor completely. 16x^{2} + 9 |

11. | Add. Express your result in simplest form. |

12. | Factor the trinomial completely. x^{2} – 8x + 16 |

13. | Solve the quadratic equation. x^{2} = –6x |

14. | Factor. x^{2}(y – z) – 25y^{2}(y – z) |

15. | Add. Express your answer in simplest form. + |

16. | Factor completely. x^{2} + x – 42 |

17. | Divide. |

18. | Factor the trinomial completely.. 6b^{4} – 18b^{3} – 60b^{2} |

19. | Find the area of the rectangle shown. |

20. | Simplify. |

21. | The directions on a concentrated cleaner state that 3 tablespoons of concentrate make 345 ounces of cleaning fluid. How many ounces of cleaning fluid will 2 tablespoons of cleaner make? |

22. | Factor completely by factoring out any common factors and then factoring by grouping. y^{4} + 3y^{3} – 5y^{2} – 15y |

23. | Factor completely. 15x^{2} – 16x + 4 |

24. | What values for x, if any, must be excluded in the following algebraic fraction? |

25. | Multiply. |

26. | State whether the following is true or false. x^{2} + 3x – 10 = (x + 5)(x – 2) |

27. | Add or subtract as indicated. |

28. | Find a positive value for k for which the polynomial can be factored. x^{2} – kx + 23 |

29. | Factor 3x^{2}-x-4 |

30. | The area of a rectangle of length t is given by 12t – t^{2}. Find the width of the rectangle in terms of t. |

## Solution: allied MAT110 week 4 check your understanding

Tutorial # 00074684Posted By: echo7 Posted on: 07/06/2015 05:05 AM