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# review3 - MAC1140 Precalculus Algebra Summer B 2007 Review...

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MAC1140, Precalculus Algebra, Summer B 2007 Review Problems for Exam 3 1. Describe each graph! (If it’s a circle, find center and radius!) a) 2 x 2 + 2 y 2 + 20 x + 8 y + 56 = 0 b) 4 x 2 + 4 y 2 - 4 x + 12 y + 10 = 0 c) x 2 + y 2 - 4 y + 5 = 0 2. Find the slope-intercept form of the equation of a line that a) has slope - 1 and y -intercept 3 b) goes through the points ( - 2 , 1) and (1 , 0) c) is parallel to the line 5 x + y +1 = 0 and goes through the point (1 , 1) d) is perpendicular to the line 5 x + y + 1 = 0 and goes through the point (1 , 1) 3. Find all k such that the line through the points (1 , k ) and (3 , k 2 ) is perpendicular to the line 6 y + 2 x + 5 = 0. 4. A company has a fixed cost of \$400 and additional costs of \$3 for each unit of a product it produces. The revenue from selling one unit of the product is \$8. a) Find an equation that relates the profit P with the number x of units produced. b) What is the profit when 100 units are being sold? c) Find the x - and the y -intercept of the graph of the profit equation and interpret their significance.

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