Review Test Submission_ Practice Final Exam_ GSE Algebra II Y

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Question 1 Selected Answer: Answers: Response Feedback: A band must know the dimensions of the stage where they are having a concert. The area of the rectangular stage is 77 ft2 and the width i... s x. The length of the stage is (2x – 3) feet. What is the length of the stage? 49 ft 7 ft 50 ft 11 ft 49 ft 77 = x(2x – 3) 77 = 2x² - 3x Distribute. For a rectangle, A = lw0 = 2x² - 3x – 77 Set the equation equal to 0, subtract 85 from both sides. 0 = 2x² - 14x + 11x - 77 Rewrite the trinomial. 0 = (2x² - 14x) + (11x – 77) Group into a sum of two pairs. 0 = 2x(x – 7) + 11(x – 7) Factor the greatest common factor from both pairs. 0 = (x – 7)(2x + 11) Factor the common binomial from each pair. x – 7 = 0; 2x + 11 = 0 Use the zero-product property to set each factor equal to 0. x = 7; 2x = - 11 Solve each equation separately. x = 7; x = -11/2 Reject x = -11/2, length must be positive. Length = 2x – 3; x = 7 = 2(7) – 3 = 14 – 3 = 11 The stage is 11 feet long. Question 2 Selected Answer: Answers: Response Feedback: Since 1972 the U.S. Fish and Wildlife Service has kept a list of endangered species in the United States. For the years 1972 – 1998, the number of species s on the list can be modeled by s = 119.6e 0.0917t where t is the number of years since 1972. Approximately how many species were on the list in 1993? 820 875 2,752 820 626 To determine t for the year 1993, subtract 1993 – 1972 = 21 s = 119.6e 0.0917t s = 119.6e 0.0917(21) = 119.6e (0.0917 • 21) Group the exponents to make sure the order of operations is followed. = 119.6e 1.9257 Minimize rounding errors by keying the entire expression into a calculator. ≈ 820.45 Approximately 820 [Show More]

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