MA Practice Questions for the Final Exam 07/10 .! 2! 7. 18! 7.! 30! 12 " 2! 3. A x y B x y C x xy x y D.! 2x! 5 y E.

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1 MA 00 Practice Questions for the Final Eam 07/0 ) Simplify:! y " [! (y " )].!! 7. 8! 7.! 0! "! A y B y C y y D.!! y E. None of these ) Which number is irrational? A.! B C. 7 D.. E.! ) The slope of a line passing through the two points (, ) and (,! ) is 4 A. B. C.! D.! E. None of these 4) # $! % A B C. "!.! ".!! D E.! ". None of these ) The slope of a line perpendicular to the line with equation! y" 4 % 0 is A.! B. C. D.! E. None of these 6) Solve the inequality,! 7& " 6. Write solution using interval notation. #!'! $ #! $ # $ # $, '!'!!, ' A., B. C., D. E. None of these 7) Solve for :! % " 4 A. % B. % C. % D. % E. There is no solution. 8) Find the distance between P(4,! ) and Q(,). A. 0 B. C. 0 D. 40 E. 6 9) Solve for : " 7 % " " A. %, %! B. % C. % D. %,! E. There is no solution. 0) Solve:! 7 ( #!'! + -) ' $,, ' $ #!'! *-, ' $ A., 4, B. C., 4,. / / )! ' $ E + #!' -) ' $ D. 4,., 4,.

2 MA 00 Practice Questions for the Final Eam 07/0 ) If y varies inversely as and y = 8 when = 6, find when y =. 4 A. % 4 B. % C. % D. % E. None of these ) Simplify:!! 0 ab! 4a b 6 0 b 0 a 0 a 0 b A. B. C. D. E. None of these a 4 b 4 b 4 a! "! " ) Divide and simplify: 6!! (! )! A. B. C. D. E. None of these " " ( " )( " ) 4) Which of the following is a factor of "! a! a? A.! a B.! C. D. a E. None of these ) Combine terms and simplify: 4! ) Factor: A.! 0 B.! 4 C. 4 D. 8 E. None of these 6! 4y 8 #! $# " $ #! 4 $ #! 4 $# " 4 $ #! $ A. 4 y 4 y B. 4 y C. 4 y y D. 4 y E. None of these 7" y %! 7) Solve the system of equations for : 8 9 " y % A. %! B. % C. % D. %! E. None of these 8) Solve for :! %, A. %! %! B. %!, % C. %, % D. %, %! E. None of these 9) Solve for :! %! 4! 4 A. % 4, % B. % 0, % C. % 0, % 6 D. % 6, % 4 E. None of these 0) Rationalize the denominator:!

3 MA 00 Practice Questions for the Final Eam 07/0 A.! B. " C. " D. 6 " E. None of these 7 7 ) Give the equation of the line in slope-intercept form which is parallel to the line! y %7 and contains the point (,! ). 7 8 A. y %! 4 B. y %! " C. y %! D. y % " E. None of these ) One solution of "! % 0 is A.!! B.!! C.!! D.! E.!! ) Epand the logarithm epressing in terms of 4) 0 z log, log y, and log z : log y 4 0 log z A. B. log z! log! log y C. (log z! log! log y) 4(log )(log y) 0 log z D. E. log z! log " log y 4(log )(log y)! 0 % 48 A. B. 4 C. 6 D. E. None of these 4 6 ) # $ log % 6 A. B.! C. 4 D.! 4 E. None of these 4 4 6) Condense this epression to a single logarithm and simplify: loga7! loga 0 " loga # $ # $ A. log B. log C. log D. log 6 E. None of these a a a a 0 7) If " %, then find. (Give your answer correct to decimal places.) A. 0.4 B. 0.0 C. 0.6 D E ) The sum of two positive numbers is and their difference is. Find the smaller of the two numbers. 4 A. B. C. D. E. None of these

4 MA 00 Practice Questions for the Final Eam 07/0 9) Bob is years older than his daughter Jane. Three years ago, Bob was twice as old as Jane. If represents Jane s present age, which equation could be used to find? A. " % (! ) B. " % C. " % D. " % (! ) E. None of these 0) Paul can paint a room in hours. Sally can paint the same room in hours. How long will it take for them to paint the room if they work together? A. 4 hours B. hours C. hours D. hour E. None of these ) The base of a triangle is inches less than its altitude. The area is 8 square inches. Find the base of the triangle. A. 9 in. B. 6 in. C. 4 in. D. 4 in. E. None of these ) At :00 P.M. two cars start toward each other from towns 40 miles apart. If the rate of one car is 0 mph faster than the other, find the rate of the faster car if the two cars meet at :00 P.M.? A. 4 mph B. mph C. 40 mph D. 0 mph E. None of these ) A computer dealer marks up all his merchandise % over his cost. If he sells a mouse for $0.00, how much did he pay for it? A. $6.0 B. $4. C. $9. D. $.0 E. $0.69 4) Two investments are made totaling $4800. Part of the money is invested at 8% and the rest at 9%. In the first year they yield $4 in simple interest. How much money is invested at 8%? A. $80 B. $980 C. $600 D. $000 E. None of these ) At what simple interest rate will $000 accumulate to $480 in 8 years?. 9.%..7%. 8.%. 8.%. None of these A B C D E 6) The equation for the circle with center (!,) and radius is: A y B y C y. (! ) " ( " ) %. ( " ) " (! ) %. (! ) " (! ) % D y E. (! ) " ( " ) %. None of these 7) The graph at the right can best be described by which piecewise function? 7 : 0 7! : 0 A. f( ) % 8 B. f ( ) % " & 9 & 0 7! : 0 7! : 0 C. f ( ) % 8 D. f ( ) % & 9 & 0 E. None of the above 4

5 MA 00 Practice Questions for the Final Eam 07/0 8) Multiply and simplify completely: (i! )(i! ) A. 4 " 9 i B.! 6! 9 i C. 4! 9 i D.! 6 " 9 i E. None of these 8 9) For f( ) %, find f (! ).! A. f (! ) %! 4 B. f (! ) % C. f (! ) %! D. f (! ) %! E. None of these 40) Let f ( ) % 4! and g( ) % ". Find ( f! g)(). A. ( f! g)( ) % 6 B. ( f! g)( ) % 4 C. ( f! g)( ) %! D. ( f! g)( ) % E. None of these 4) For a one-to-one function, f, given by!!! " D. f ( ) % E. None of these % f "! ( ), determine ( ). f!!! A. f ( ) % B. f ( ) % C. f ( ) %! 4) The area of a rectangular patio is given by the function A( ) %! " 0 " 00, where is the width measured in feet. Find the maimum area of the patio. A. 4 ft B. ft C. 7 ft D. ft E. None of these 4) When a certain make of car is purchased for $8,000, its trade-in value t years after purchase is given by V( t ) % 8000(0.8) t dollars. Find the car s trade-in value after 4 years, rounded to the nearest dollar. A. $8604 B. $480 C. $996 D. $60 E. None of these 44) The graph at the right can best be described by which equation? A. y % e " B. y % ln C. y % e # $ D. y % E. y % ln( " ) e 4) What amount invested today will accumulate to $4,000 by the end of 8 years if it is invested at 8.% compounded monthly? Give your answer correct to the nearest cent. A. $7, B. $0, 8.09 C. $66,9.6 D. $,86.8 E. $7, 66.

6 MA 00 Practice Questions for the Final Eam 07/0 46) Maria Valdez is going to make quarterly deposits of $4 in a savings account. How much will she have after years if the account pays 6% annual interest, compounded quarterly? Give your answer rounded to the nearest dollar. A. $0,400 B. $,96 C. $4,687 D. $9,6 E. $,69 47) Find the payment required to repay a $0,000 loan over years, with monthly payments at a 6% annual rate. A. $7. B. $487. C. $67.88 D. $86.66 E. None of these 48) Simplify: 7 y A. y y B. y y C. y y D. y y E. None of these 49) The graph of %! "! looks most like which of the following? y 0) Divide:! 4 i " i A. " i B.! i C.! i D.! 4 i E. " i ) What number should be added to " 6 in order to complete the square? A. B. 69 C. 676 D. E. None of these ) Use the graph at the right. Which statement is false? A. There is a relative maimum of. B. f() % 0 C. There are -intercepts; 0,, and 4. D. The range of the function is [0, 4]. E. The graph is decreasing on (,). y y % f# $ 4 ) What is the verte of the parabola represented by g( ) %! " 8 "? A. (,9) B. (,! 9) C. (!,! ) D. (!,) E. None of these 6

7 MA 00 Practice Questions for the Final Eam 07/0 4) Solve: log(4) " log(! ) % log(" ) A. % B. % 6 C. % 9 D. %! E. No solution Answers: ) A; ) C; ) E # $ ) D; ) B; 4) A; ) C; 6) C; 7) D; 8) E # $! ; 4) B; ) D; 6) A; 7) A; 8) B; 9) B; 0) E; ) A; %!, % ; 9) C; 0) C; ) C; ) E; ) B; 4) B; ) D; 6) A; 7) E; 8) A; 9) A; 0) B; ) C; ) A; ) C; 4) D; ) A; 6) B; 7) D; 8) C; 9) C; 40) C; 4) A; 4) D; 4) C; 44) C; 4) E; 46) D; 47) D; 48) B; 49) E; 0) C; ) B; ) D; ) A; 4) C 7