1. Pg. 116 Homework Pg. 117#44 – 51 Pg. 139#78 – 86 #20 (-2, 1)#21[0, 3] #22 (-∞, 2]U[3, ∞)#24(-∞, -3]U[½, ∞) #25 (0, 1)#26(-∞, -3]U(1, ∞) #27 [-2, 0]U[4, ∞)#28(-∞, -1]U[⅔, 3] #29 (-∞, -1.98)U(3.94, 7.04)#30[2.55, ∞) #33 (-∞, -4)U(-1, 2)#35(-3, 1) #37 [0.28, 2.39]#39(-∞, -3.66) #41 (-∞, 2)#43(-1, 1]U(3, ∞)

2. 2.5 Solving Higher-order Inequalities Algebraically and Graphically Equal squares are removed from the four corners of a 22- by 29-in. rectangular sheet of cardboard. The sides are turned up to make a box with no lid. Find the possible lengths of the sides of the removed squares if the volumes is to be less than 2000 cu in.

3. 2.5 Solving Higher-order Inequalities Algebraically and Graphically Squares with a side length of 5 in. are cut from each corner of a rectangular piece of cardboard with width w and length l. By folding along the dashed lines, a box is formed whose height is 5 in., width is (w – 10) in., and length is (l – 10) in. Suppose the length of the cardboard is twice its width. Find the dimensions of the cardboard if the volume of the resulting box is 2040 cu in.

4. 2.5 Solving Higher-order Inequalities Algebraically and Graphically A picture frame’s outside dimensions measure 16 by 20 in. The picture will be surrounded by a mat with a uniform border. The distance from the edge of the frame to the picture is x inches on all sides. – Find al algebraic representation for the area A of the picture in terms of x. – What values of x make sense in this problem situation? – Estimate the width of the uniform border if the area of the picture is 250 sq. in. (Use your calculator.)

5. The Quadratic Formula!! Solving Equations Best things about solving equations… – You can check your answer!! There are many ways to solve equations. So far, we’ve seen: – Linear – Absolute Value – Quadratic Formula – Factoring – Completing the Square – Sign Patterns We will now derive the Quadratic Formula!! You MUST know how to derive this for the test on the 28 th !!!! (Hint: Practice it at home so you can get better and better and just get it done in no time during the test!!)