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..4848... 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) # $! % 4 4 4 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,.
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! 8 80 6) 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:!
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 4 8 7 # $ # $ 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. 0.60 E. 0.8 8) 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
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? 7 8 8 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 ( ) % 0 8 9 " & 9 & 0 7! : 0 7! : 0 C. f ( ) % 8 D. f ( ) % 0 8 9 & 9 & 0 E. None of the above 4
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 (! ).! 4 4 4 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, 70.76 B. $0, 8.09 C. $66,9.6 D. $,86.8 E. $7, 66.
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 7 7 7 7 A. " i B.! i C.! i D.! 4 i E. " i 4 4 4 4 ) 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
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