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Exam 1 - 1 MAT 194 Exam#1 Name Sept 23 2008 Show all work...

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1 MAT 194 Name________________________________________ Exam #1 Sept. 23, 2008 Show all work! Answer all questions! (1) [15 pts] Consider the function 2 () 5 1 2 gx x x = +− . (a) Calculate the average rate of change between (-7, 2) and (0, -12). (b) Find the equation of the line through the points (-7, 2) and (0, -12). (c) Find an equation of the line perpendicular to the line found in part (b) and through the point (-1, 3). (2) [5 pts] Given 2 () 3 2 8 f xxx = −+ , evaluate and simplify (2 ) f x .

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2 (3) [5 pts] Simplify the expression 13 6 121 x z and leave without radicals if possible. Assume all variables are positive. (4) [5 pts] Simplify 1 25 416 xy yz x −−    . (5) [5 pts] Perform the operation. Express the answer in reduced form. 2 65 12 5 24 10 rr r + ++
3 (6) [10 pts] Are the statements in (a) through (e) true or false? Give an explanation for your answer. (a) () Qf t = means Q is equal to f times t . (b) If ( ) p fA = is the amount of paint (in gallons) needed to cover a wall of area A square feet, 1 (120) 2 f = means that 120 gallons of paint are needed to cover an area of 1 2 sq. ft.

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Exam 1 - 1 MAT 194 Exam#1 Name Sept 23 2008 Show all work...

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