Student: Teacher Due Date: August 10th, 2014 Algebra II Summer HW 4 https://docs.google.com/forms/d/1DY7g0IigTIWn4ioqcFEqopIqRC2NCFLeHAq4B_Yxow/viewform?c=0&w=1 &usp=mail_form_link Non Extended Response (1.5 points each) 1) Factor the following perfect-square trinomials: a) π₯ 2 − 12π₯ + 36 (x - 6)2 2) Continued from question 1. In the following, choose k to create a perfect square trinomial: b) π₯ 2 + 14π₯ + 49 c) π₯ 2 − 20π₯ + 100 a) π₯ 2 − 16π₯ + π b = 16 π =8 2 2 8 = 64 x2 – 16x +64 As suggested, these should all look like either(π₯ − π)2 ππ (π₯ + π)2 . State the important connection between the coefficients of the given trinomials and the values you found for r. 3) The point on segment AB that is equidistant from A and B is called the midpoint of AB. For each of the following, find coordinates for the midpoint of AB: π΄ = (−1,5) πππ π΅ = (3, −7) Midpoint Formula (π₯1 + π₯2 ) (π¦1 + π¦2 ) , 2 2 b) π₯ 2 + 10π₯ + π c) π₯ 2 − 5π₯ + π 4) βπ΄π΅πΆ is similar to βπππ. π΄π΅ is 5 inches long, π΅πΆ is 8 inches long, and π΄πΆ is 3 inches long. If the longest side of βπππ is 20 inches long, what is the perimeter, in inches, of βπππ? a. b. c. d. e. 16 28 40 64 88 First, draw βπ΄π΅πΆ. Then, draw βπππ. You will have to set up two proportions to set up the side lengths. 8 5 The first one starts with 20=π₯ 4 5) √27 + √48 = ? a. b. c. d. e. 6) If the circumference of a circle is 3 π inches, how long is the radius, in inches? 5√3 7√3 3√3 + 3√4 12√3 3 + 4√3 a. 3 4 b. 3 2 c. 2 3 d. √ e. 7) Apply the zero-product property (you may have to look this up) to solve the following equations: a) (π₯ − 2)(π₯ + 3) = 0 b) π₯(2π₯ + 5) = 0 c) 5(π₯ − 1)(π₯ + 4)(2π₯ − 3) = 0 The zero product property says that if any two numbers multiplied together equals zero, then one or both of those terms equal zero. πΆ = π2π, solve for r 4 3 4√3 3 8) What is the value of the expression 2π₯ 3 − π₯ 2 + 3π₯ + 5 for π₯ = −2? a. b. c. d. e. -21 -13 8 11 21 If you use your calculator, make sure to use parentheses: 2(−2)3… Extended Response (4 points each) 1) According to the U.S. Census Bureau, the population of the USA has a net gain of 1 person every 14 seconds. How would you figure out how many additional persons this amounts to in one year? The important part of this question is not the final answer, but your explanation of the process you would use to solve it. First, decide how many people it would be in a minute, hour, day, etc. 2) What are you most excited for going into Algebra II? What are you most apprehensive about? The first change could be from work-word.