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Algebra 2 Problem Set #2 Mr. Lynch Name: ________________________________________________ Date: ___________ Period: _________ You will have one week to complete this problem set and it will be due on Friday, January 8th, 2016. You may ask me or another student a question about this problem set, but all work turned in should be your own and on a separate sheet of paper. If you received any help from someone you must give credit to that person by letting me know on which problem you received the help. (Ex: #3: I received help from Bobby Lynch on this part of the problem). Also, let me know if you worked together in a group and with whom. Please complete the problems on a separate sheet of paper. 3x y 6 1.) Solve the system by substitution 3x 5y 12 and 3x 2 y 6 0 2.) Solve the system by linear combination: 5 x 3 y 9 0 3.) Graph the system of inequalities: y 3x 3 3y x 3 4.) Solve the equation by finding the roots. a.) ( y 7) 2 (2 y 3) 0 b.) (2t 2)(3t 5) 0 5.) Factor. a.) y 2 5 y 14 d.) 3x 2 17 x 6 g.) r 2 18r 81 b.) x 2 3x 88 e.) 7 x 2 18 x 9 c.) t 2 23t 90 f.) 36 x 2 144 6.) Solve the equation by factoring. a.) x 2 32 4 x b.) 5 x 2 29 x 6 0 c.) 4 x 2 9 0 7.) Evaluate the expression. 25 a.) 169 b.) 49 d.) 0 e.) b 2 4ac for a = 3, b = 3, and c = -6 c.) 8.) Use a calculator to evaluate. Round to two decimal places. 12 2 12 13 3 2 5 a.) b.) 3 4 81 c.) 9.) Solve the equation. If possible, leave answers in radical form. a.) z 2 100 b.) 5 x 2 125 0 c.) x 2 7 13 52 6 d.) 3 y 2 4 11 10.) Simplify the expression. If possible, leave answers in radical form. 28 a.) 98 b.) 112 c.) 6 d.) 288 9 2 5 32 99 e.) f.) 35 14 g.) 5 8 h.) 3 50 11.) Solve using the quadratic formula. a.) 3 x 2 3 x 3 b.) x 2 6 x 3 0 12.) Use the discriminant to determine the number of solutions. b.) x 2 3x 4 0 b.) 4 x 2 16 x 16 0 c.)