Math 11 LE2 - Mathematics 11 1st Sem AY 2015-2016 2nd Long Exam Directions Show all necessary solutions No solution no credit Use nonerasable blue or

Math 11 LE2 - Mathematics 11 1st Sem AY 2015-2016 2nd Long...

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Mathematics 11 2nd Long Exam 1st Sem, AY 2015-2016 October 19, 2015 Directions: Show all necessary solutions. No solution, no credit. Use nonerasable blue or black ink pen only. Box your final answers. I. Write TRUE if the statement is always true. Otherwise, write FALSE. (1 point each) 1. The set f = { (1 , 5) , (2 , 0) , (3 , 6) , (4 , 0) } is a function. 2. The graph of y + 3 x - 6 = 0 has y -intercept - 6. 3. The equation 2 x 2 - 5 x - 1 = 0 has solutions x = 5 ± 17 4 . II. Simplify the following expressions. Express rational powers as radicals in simplest form. (Assume all denominators are nonzero.) 1. 3 4 - 2 3 (3 points) 2. ( 16 x - 2 ) 3 / 4 x 5 / 2 y - 6 16 y - 2 (3 points) 3. 3 12 + 18 - 2 75 (3 points) III. Find the solution set of the following equations and inequality. 1. 5 + 13 - 2 x = x (4 points) 2. 2 x + 7 x + 1 = 3 (4 points) 3. ( x 2 + 3) 2 - 4( x 2 + 3) - 5 = 0 (4 points) 4. 2 x - 1 x + 3 1 (4 points) IV. Do as indicated. 1. Given the points M (4 , - 1) and N (7 , 3). (a) Find the length and midpoint of the line segment MN . (2 points)
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