MATH 125 MATH EXIT TEST (MET) SAMPLE (Version 4/18/08) The actual test will have 25 questions. that passes through the point (4, 2)

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1 MATH MATH EXIT TEST (MET) SAMPLE (Version /8/08) The actual test will have questions. ) Find the slope of the line passing through the two points. (-, -) and (-, 6) A) 0 C) - D) ) Sketch the line with slope that passes through the point (, ) A) C) D) ) Find the equation of the line with slope -, passing through (6, ) A) = = C) = - D) = - + ) Find an equation of the line through (, -) and (, -) A) = = -6 - C) = D) = 6-7 ) Find the equation of the line perpendicular to = +, passing through (8, -6) A) = = - C) = D) = - +

2 6) Wrtie an equation in slope-intercept form for the line shown A) = - - = - - C) = - - D) = - 7) The number of televisions in the average American home ears after 99 is given b N() = Evaluate N(8) and interpret the result. A) N(8) =.; there were an average of. televisions per home in 00. N(8) =.8; there were an average of.8 televisions per home in 00. C) N(8) =.8; there were an average of.8 more televisions per home in 00 than in 99. D) N(8) =.; there were an average of. televisions per home in 00. 8) The population of Midville, in thousands of people, is given b P(t) =.t +, where t is the number of ears after 980. Choose the correct statement. A) In 986, the population was 9,000. In 986, the population was,000. C) In 980, the population was 00. D) In 99, the population was ) The charge for renting a car is $6 per da and initial fee of $. Write a formula for the cost of renting a car for das. A) = + = + 6 C) = + 6 D) = 6 + 0) The value, in dollars, of a cop machine is given b the function f() = , where is the number of ears that have passed since the machine was purchased. Interpret the slope of the graph of f as a rate of change. A) The cop machine decreases in value b $0 each ear. The cop machine was worth $000 initiall C) The cop machine depreciates entirel in 0 ears. D) The cop machine decreases in value b $0 each ear.

3 ) Francine received 0 hours of free Internet time in a promotional offer. She spends. hours per da connected to the Internet. H = f(t) gives the number of free hours Francine has left after t das. What does the t-intercept of the graph tell us? A) Francine had 0 free hours initiall. She will use up the free hours in 80 das. C) How long Francine spends on the Internet ever da. D) The number of das that have gone b ) A person is driving a car along a straight road. The graph shows the distance in miles that the driver is from home after hours The graph passes through the point (, 00). What is the meaning of this point? A) It will take the driver hours to complete the trip, which requires driving 00 additional miles. The driver has driven for hours and must drive an additional 00 miles to complete the trip. C) After hours the driver is 00 miles from home. D) After 00 hours, the driver is miles from home. ) The graph shows the number of gallons of water in a swimming pool after hours. There is a pump that can either add or remove water from the pool. Find the slope of the line, and interpret the slope as a rate of change A) The pump adds water at a rate of 00 gallons per hour for two hours. The pump adds 600 gallons of water. C) The pump adds water for two hours until there are 700 gallons of water in the pool. D) The pump adds water at a rate of 00 gallons per hour for two hours.

4 Solve the equation. ) = -9 A) C) 7 D) 0 7 ) -(k + ) - (-k - ) = A) 7 C) - 7 D) 6) Decide if the given value for the variable is a solution to the inequalit (Y/N). z - 7 < 6z - (z + ); z = A) Yes No 7) Solve the inequalit: 0-6 > ( - 8) A) < > C) > 0 D) < 0 8) Solve for : = 8 A) -, - 6 -, - C), 6 D) No solution 9) What is the -value of the solution to the sstem? -7 + = + = A) = =- C) =0 D) No solutions 0) What is the -value of the solution to the sstem? - + z = - + z = z = 0 A) = =0 C) = D) No solution ) What is the -value of the solution to the sstem? + + z = z = z = A) =- =- C) = D) No solution ) When 7% of a number is added to 6, the result is more than the number. Write the equation that models this problem. A) = = + C) = + D) 0.7 = 6 + Write a sstem of linear equations that models the situation. ) 6 boes of chocolate-covered almonds and soft drinks cost $8, 7 boes of chocolate-covered almonds and soft drinks cost $7. Let be the price of a bo of chocolate-covered almonds and be the price of a soft drink. A) + 6 = = = = 7 C) 6 + = = 7 D) = 8 + = 7

5 ) There were 0 people at a pla. The admission price was $ for adults and $ for children. The admission receipts were $0. Let be the number of adults that attended the pla and be th number of children who attended the pla. A) = = = 0 = 0 C) + = 0 + = 0 D) + = 0 + = 0 ) A certain aircraft can fl 80 miles with the wind in hours and travel the same distance against the wind in 8 hours. Let be the speed of the plane in still air and be the speed of the wind. A) = 80 8 =80 + = 80 8 = C) + = =80 D) + 8 = 80 = 8 Solve. 6) How much pure acid (00% acid solution) should be mied with 6 gallons of a 0% acid solution in order to get an 80% acid solution? A) gal gal C) 9 gal D) gal 7) Linda and Dave leave simultaneousl from the same starting point biking in opposite directions. Linda bikes at 6 miles per hour and Dave bikes at 9 miles per hour. How long will it be until the are miles apart from each other? A) hrs hrs C) hrs D) 8 hrs 8) Solve the equation: m - m = 0 A) -, 0, C) 0 D) -, 0 9) Which of the following is a step in the solution of = 0 b completing the square? A) = ( - 6) = C) ( - 6)= 8 D) (- )= 8 + 0) Which of the following is a step in the solution of = 0 b completing the square? A) = ( - ) = 8 + C) ( - 6) = D) ( - ) = 8 + ) Solve for r: A = P + r A) r = ± A - P r = ± A P - C) r = ± A P - D) r = ± A - P -

6 ) Use the quadratic formula to solve the equation = 0 A) C) , , D) , , ) A window washer accidentall drops a bucket from the top of a 6-foot building. The height h of the bucket after t seconds is given b h = -6t + 6. When will the bucket hit the ground? A) 6 sec 6 sec C) sec D) - sec ) Find the verte of the parabola. f() = A) (, ) (0, ) C) (, 7) D) (0, 7) ) Find an equation for the parabola with verte (-, -) and intercept (0, ). A) = + + = C) = - + D) = (+) - 6) A hotel finds that its revenue is given b R = (80 + 0) (00 - ) when it charges dollars for a room. To the nearest dollar, what is the maimum revenue it can earn? A) $9,90 $,0 C) $,8 D) no maimum 7) Find the equation for the parabola in the graph: A) =(- ) =(-)+ C) =(+)+ D) =(+)- 6

7 8) Find an equation for the parabola: A) = = C) = D) = + + 9) Solve the inequalit: - > 0 A) > > 0 or > C) < - or > D) < 0 or > 0) Solve: - 8 < A) < < < - or > C) < D) < or < ) Factor: - 86 A) C) - + D) ) Multipl: k + k + 8 k + k + 6 k + k k + 9k + A) k k + 7 k + 7 C) k k + k + 6 D) k + k k + 7 ) Divide: A) C) (6 - )(6 - ) ( + 8)( + 8) D)

8 ) Add. Simplif if possible A) 9 C) D) 0 ) Subtract. Simplif if possible. 7 z - z A) z - 7 z 7 - z z C) 7z + z D) 7 + z z 6) Solve: = - A) = = 7 C) = -6 D) = 6 7) Simplif: A) - - C) - D) - 8) is directl proportional to and = 6 when = 6. Find the constant of proportionalit k. Then, find when =. A) k = - 6; = - 78 k = 6; = 6 C) k = 8; = 0 D) k = 6; = 78 9) is inversel proportional to and =. when = 9. Find the constant of proportionalit k. Then, find when = 8. A) k = 0.; =. k = 6.8; =.8 C) k =.; = 0. D) k = 78.; =. 0) The amount of force F in pounds needed to lift a heav object with a lever varies inversel with the length L of the lever. It took 00 pounds of force to lift a refrigerator with a -foot lever. Which equation models F as a function of L? A) F = 8.L F = 00L C) F = 8. L D) F = 00 L ) Simplif and write answer with positive eponents: (a -) - a- A) -8 a6 a 8 8 C) a 6 D) - a8 8

9 ) Simplif the epression. Write with positive eponents. (/) / A) / C) D) 7/ ) Multipl: - A) - 8 C) - D) - Simplif the epression. Assume that all variables are positive. ) 8 A) 6 6 C) 6 D) 6 ) 78 A) 7 C) 78 D) Rationalize the denominator. 6) 7a 6 A) 9a 6 6 C) 7a 6 D) 7a 6 6 7) 7 - A) + - C) + D) 7-8) Solve the equation. + = + A) < < < < C) < < D) < < 9) The length a spring stretched from its natural length with work, W foot-pounds, is given b W L = where k is a constant for the given spring. If a certain spring has a constant of 66.8, and the spring k is to be stretched. feet from its natural length, how much work will be necessar? A) 68 foot-pounds 06.9 foot-pounds C) foot-pounds D) 9.7 foot-pounds 60) The length L of a river is related to the area A of its drainage basin b the formula L =.0 A0.. The Congo River is 6 miles long. What is the area of its drainage basin? A) 6 sq mi 689 sq mi C) about.6 0^-7 sq mi D) about.6 0^7 sq mi 9

10 6) Use the graph of f to evaluate f(-) = f() A) 0 - C) D) 6) Find f(-) when f() = - - A) 8 C) 8 D) 8 6) Find an eponential function that models the data in the table A) f() = () f() = + C) f() = () D) f() = + 6) Plutonium-8 decas at a rate of 0.8% per ear. How much of a 0-gram sample will be left after t ears? A) 0 0. t 0-0.8t C) t D) t 6) Solve the equation: (9 - ) = 7 A) 9 C) D) - 66) Solve the equation: + 6 = A) log + log 6 log log log + 6 C) log - 6 log D) log - log - log 6 t 67) Solve the equation: 600 = 7,000 A)..6 C) 6. D) 6.7 0

11 68) Epand the epression. Assume that all variables are positive. log 8 z8 A) log 8 - log 8 + log 8 z log 8 - log 8 z8 C) 8 log 8 log log 8 z D) log 8 - log 8 - log 8 z 69) Solve the equation: log ( + ) - log ( - ) = log A) - C) D) No solution 70) Solve the equation: log 9 + log 9 = A) 9 9 C) D) 9 7) f() =. +.log ( + ) gives the salinit of ocean water at depth meters. Find the salinit (to the nearest hundredth) at a depth of 607 meters. A) C) 9.8 D) 7.0 7) How long will it take for a population of 000 to double if its annual growth rate is 7. %? (Round to the nearest ear.) A) r 0 r C) 8 r D) r 7) Find out how long it takes a $00 investment to double if it is invested at 8% compounded semiannuall. Round to the nearest tenth of a ear. Use the formula A = P + r n nt. A) 8.6 ears 8.8 ears C) 9 ears D) 9. ears 7) Find the standard equation of the circle that has a enter at (-8, ) and a radius of A) ( - ) + ( + 8) = ( + 8) + ( - ) = C) ( + ) + ( - 8) = D) (- 8) + ( + ) = 7) Find the center and radius of the circle. + + = 8 A) (0, ); (0, ); C) (, 0); D) (0, -);

12 76) Which graph represents f() = - ; ou ma use the following table. A) 0 f() C) D) ) The graph below is the graph of the ellipse (-h) 9 + (-) 6 =. What is the value of h? A) 0 C) - D)

13 78) One of the graphs below is the graph of - =. Which one? A) C) D) ) A satellite is to be put into an elliptical orbit around a moon. The moon is a sphere with radius of 76 km located at the.center of the elliptical orbit. Determine an equation for the ellipse if the distance of the satellite from the surface of the moon varies from 6 km to km. A) 6 + = = C) = D) + 6 =

14 Answer Ke Testname: MET DRAFT 008 M ) C ) D ) D ) A ) D 6) C 7) B 8) B 9) D 0) A ) B ) C ) D ) A ) B 6) A 7) B 8) D 9) C 0) B ) C ) A ) C ) D ) C 6) C 7) B 8) B 9) B 0) D ) B ) A ) C ) C ) B 6) C 7) C 8) B 9) D 0) A ) D ) A ) A ) B ) B 6) C 7) C 8) D 9) A 0) D

15 Answer Ke Testname: MET DRAFT 008 M ) C ) A ) D ) B ) D 6) D 7) C 8) B 9) C 60) D 6) D 6) B 6) A 6) C 6) C 66) C 67) D 68) D 69) C 70) D 7) D 7) B 7) B 7) B 7) D 76) D 77) B 78) C 79) C

MATH 125 MET * SAMPLE* The actual test will have 25 questions (At least 20 will be multiple choice similar to below) Update Fall 2012

MATH 125 MET *** SAMPLE*** The actual test will have 25 questions (At least 20 will be multiple choice similar to below) Update Fall 2012 MATH MET *** SAMPLE*** The actual test will have questions (At least 0 will be multiple choice similar to below) Update Fall 0 MULTIPLE CHOICE. Choose the one alternative that best completes the statement