1 A B C D E F G H I J K L M N O P Q R S { U V W X Y Z 1 A B C D E F G H I J K L M N O P Q R S { U V W X Y Z

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1 lgebra o T ffi tudent abel ere tudent ame chool ame istrict ame/ ender emale ale onth ay ear ate of irth an eb ar pr ay un ul ug ep ct ov ec ast ame irst ame lace the tudent abel ere tate tudent dentifier chool se nly nd of ear ssessment ractice Test

2 nit irections: Today, you will be taking nit of the lgebra nd-of-ear ssessment ractice Test. ead each question carefully. ome questions will ask you to choose one correct answer, while others will ask you to choose more than one correct answer. ark your answers by filling in the circles in your test booklet for the answers you choose. o not make any stray marks in your test booklet. f you need to change an answer in your test booklet, be sure to erase your first answer completely. alculator irections: n the first section of this unit, you may not use a calculator. ou will not be allowed to return to the non-calculator section of the test after you have started the calculator section of the test. f you do not know the answer to a question, skip it and go on. f you finish the non-calculator section of nit early, you may review your answers and any questions you may have skipped in the non-calculator section. o T go on to the calculator section in nit until directed to do so.

3 athematics irections for ompleting the nswer rids. ork the problem and find an answer.. rite your answer in the boes at the top of the grid. rint only one digit or symbol in each bo. ou may not need all the boes to enter an answer, but do not leave a blank bo in the middle of an answer.. nder each bo in which you wrote your answer, fill in the bubble that matches the number or symbol you wrote above. ill in one and one bubble for each bo. o not fill in a bubble under an unused bo. ill in each bubble by making a solid mark that completely fills the circle. ractions cannot be entered into an nswer rid and will not be scored. nter fractions as decimals.. ee below for eamples on how to correctly complete an answer grid..\\\\\\.....»» To answer in a question, fill in the answer grid as follows: To answer. in a question, fill in the answer grid as follows:.»\\\\\..... \»».

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5 nit - ection (on-alculator) This unit has two sections: a non-calculator and a calculator section. ou will now take the first section of this unit in which you may not use a calculator. ou will not be allowed to return to the non-calculator section of the test after you have started the calculator section. ou will need to finish both sections within the allotted testing time. nce you finish the non-calculator section, read the directions in your test booklet on how to continue.

6 . The cost to manufacture pairs of sunglasses can be represented by a function, ( ). f it costs $ to manufacture pairs of sunglasses, which of the following is true? elect the correct equation. ( ) =. ( ) = ( ) = (. ) =

7 . hich is a graph of the solution set of the inequality y? y y y y

8 . everal points are plotted on the graph. y hich of the plotted points on the graph represent the zeros of the function f( ) = ( + )( )? elect all that apply. (, ) (, ) (, ) (, ) (, ) (, ) (, )

9 . The figure shows a graph of the function of f ( ) in the y-coordinate plane, with the verte at (, ) and the zeros at and. f() The function g is defined by g ( ) = +. hich statements are true? elect all that apply. f( ) is greater than g( ). f( ) is less than g( ). f( ) is greater than g( ). f( ) is less than g( ). f( ) is greater than g( ).

10 se the information provided to answer art and art for question. onsider the equation ( + ) + = +.. art et u = +. hich equation is equivalent to ( + ) + = + in terms of u? u u u u + u + = u + = + u + = u + = art hat are the solutions of the equation ( + ) + = +? elect all that apply.

11 . n the y-coordinate plane, the graph of the equation y = has zeros at = a and = b, where a < b. The graph has a minimum at (, c ). hat are the values of a, b, and c? a =, b =, c = a =, b =, c = a =, b =, c = a =, b =, c =

12 se the information provided to answer art and art for question. et a represent a non-zero rational number and let b represent an irrational number.. art hich epression could represent a rational number? b a + b ab b art onsider a quadratic equation with integer coefficients and two distinct zeros. f one zero is irrational, which statement is true about the other zero? The other zero must be rational. The other zero must be irrational. The other zero can be either rational or irrational. The other zero must be non-real.

13 . The figure shows the graphs of the functions y = f( ) and y = g( ). The four indicated points all have integer coordinates. y y = f() y = g() f g ( ) = k f ( ), what is the value of k? nter your answer in the bo. \.\\\\\\..... T

14 T ou have come to the end of the non-calculator section in nit of the test. f you have time, review your answers in the non-calculator section. ou will not be allowed to return to the non-calculator section once you have received your calculator. Then, raise your hand to receive your calculator before going on to the calculator section. T

15 nit - ection (alculator) nce you have received your calculator, continue with the calculator section.

16 . lephant opulation stimates amibia ombined estimates for tosha ational ark and the orthwestern opulation ear ase ear stimated umber of lephants,,,, The elephant population in northwestern amibia and tosha ational ark can be predicted by the epression, (. ) b, where b is the number of years since. hat does the value, represent? the predicted increase in the number of elephants in the region each year the predicted number of elephants in the region in the year when the elephant population is predicted to stop increasing the percentage the elephant population is predicted to increase each year

17 . erome is constructing a table of values that satisfies the definition of a function. nput utput hich number(s) can be placed in the empty cell so that the table of values satisfies the definition of a function? elect all that apply.

18 . random sample of teenagers participated in a taste test. ach teenager sampled four choices of fruit drink (labeled,,, and ), and then were asked to pick a favorite. The table shows the results of this taste test. Total oys irls Total ased on the information given, which of the given statements are true? elect all that apply. % of the participants were girls. % of the participants preferred. of the boys preferred. of the participants who preferred were girls. The proportion of boys who preferred is equal to the proportion of girls who preferred.

19 . The epression can be factored into the form a ( + b)( + c), where a, b, and c are constants, to reveal the zeros of the function defined by the epression. hat are the zeros of the function defined by? elect all that apply.. ind the equation that is equivalent to the quadratic equation shown. = ( ) = ( ) = ( ) = ( ) =

20 . ball was thrown upward into the air. The height, in feet, of the ball above the ground t seconds after being thrown can be determined by the epression t + t +. hat is the meaning of the in the epression? The ball took seconds to reach its maimum height. The ball took seconds to reach the ground. The ball was thrown from a height of feet. The ball reached a maimum height of feet.. local theater sells admission tickets for $. on Thursday nights. t capacity, the theater holds customers. The function n ( ) = n represents the amount of money the theater takes in on Thursday nights, where n is the number of customers. hat is the domain of n ( ) in this contet? all whole numbers all non-negative rational numbers all non-negative integers that are multiples of all non-negative integers less than or equal to

21 . aroline knows the height and the required volume of a cone-shaped vase she s designing. hich formula can she use to determine the radius of the vase? r = πh r = πh r = πh r = ± πh. n epression is shown. aa ( + b ) + ( a + b) + ba ( + b ) hich epression is equivalent to the epression shown? a + b ab + a + b a + b ab + a + b a + b ab + a + b a + b ab + a + b

22 . The ordered pairs (,. ), (, ), and (,. ) are points on the graph of a linear equation. hich of the following graphs shows all of the ordered pairs in the solution set of this linear equation? y y y y

23 . hen the solutions to each of the two equations shown are graphed in the y-coordinate plane, the graphs of the solutions intersect at a point. hat is the y-coordinate of the point of intersection? nter your answer in the bo. y = y = \.\\\\\\.....

24 . certain type of lily plant is growing in a pond in such a way that the number of plants is growing eponentially. The number of plants,, in the pond at time t is modeled by the function t () = ab t, where a and b are constants and t is measured in months. The table shows two values of the function. t ( t) hich equation can be used to find the number of plants in the pond at time t? t () = () t () = () t () = () t () = () t t t t

25 . The function r ( ) represents the radius of a circle for a given area,. graph of the function is shown in the figure. r(). adius (feet)... rea (square feet) ccording to the graph, what is the approimate average rate of change in the radius of the circle as the area increases from square feet to square feet?. foot per square foot. foot per square foot. foot per square foot feet per square foot

26 . f f( ) = +, which statement regarding the verte form of f ( ) is true? n verte form, of. f ( ) = ( ) + and therefore has a minimum value n verte form, of. f ( ) = ( ) + and therefore has a minimum value n verte form, of.. f ( ) = ( ) +. and therefore has a minimum value n verte form, of. f ( ) = ( ) +. and therefore has a minimum value. n the equations listed, a, b, c, and d are real numbers. hich of the equations could have solutions that are non-real? elect all that apply. a = b a + b = a + b + c = ( a + b)( c + d) = ab ( + c) = d

27 athematics se the information provided to answer art and art for question. uring the st day of a canned-goods drive, asmine s homeroom teacher collected cans. uring the rd day, the teacher collected cans. et represent each collection day, and let represent the number of canned goods collected on that day.. art ased on the situation, asmine claims that the number of canned goods collected can be modeled by an eponential function. hat is the number of canned goods collected on the th day based on an eponential model? nter your answer in the bo..\\\\\\..... \

28 art amon disagrees with asmine and claims that the number of canned goods collected can be modeled by a linear function. hich statement is true about the number of cans predicted to be collected on the th day based on the two models? The number of cans predicted to be collected on the th day using a linear model is greater than that predicted using an eponential model. The number of cans predicted to be collected on the th day using a linear model is less than that predicted using an eponential model. The number of cans predicted to be collected on the th day using a linear model is equal to that predicted using an eponential model. There is not enough information to determine the relationship between the number of cans predicted to be collected on the th day using a linear model and that predicted using an eponential model.

29 se the information provided to answer art and art for question. n a basketball game, arlene made field goals. ach of the field goals were worth either points or points, and arlene scored a total of points from field goals.. art et represent the number of -point field goals and y represent the number of -point field goals. hich equations can be used as a system to model the situation? elect all that apply. + y = + y = + y = + y = + y = + y = art ow many -point field goals did arlene make in the game? nter your answer in the bo. \.\\\\\\.....

30 se the information provided to answer art and art for question. achel manages a souvenir store. popular item at the store is a small drum. The store typically sells, of these drums per month for $ each. achel knows that for each $ increase in the price of the drum, fewer drums would be sold in a month.. art hat is a function for the monthly revenue, in dollars, from sales of the drum, (), where represents the number of price increases of $? onthly revenue equals the number of drums sold times the price of each drum. ( ) = (, )( + ) ( ) = (, + )( ) ( ) = (, + )( ) ( ) = (, )( + ) art hich statements are true about, the monthly revenue from sales of the small drum? elect all that apply. To maimize revenue, the drum should be sold for $. To maimize revenue, the drum should be sold for $. To maimize revenue, the drum should have a price increase of $. The revenue is the same for a price increase of $ and a price increase of $. The amount of revenue from the sales of the drum is % greater with a price increase of $. The maimum revenue is $, more than the revenue from selling the drum with no price increase.

31 se the information provided to answer art and art for question. The function f ( ) = is graphed in the y-coordinate plane as shown.. art ased on the graph of the function, which statements are true? elect all that apply. f is increasing on the interval <. f is decreasing on the interval <. f is increasing on the interval < <. f is decreasing on the interval < <. f is increasing on the interval < <. f is decreasing on the interval < <. f is increasing on the interval >. f is decreasing on the interval >.

32 art ased on the graph of the function, which statements are true? elect all that apply. f ( ) < on the interval <. f ( ) > on the interval <. f ( ) < on the interval < <. f ( ) > on the interval < <. f ( ) < on the interval < <. f ( ) > on the interval < <. f ( ) < on the interval >. f ( ) > on the interval >.

33 se the information provided to answer art and art for question. embers of two cross-country teams ran an obstacle course. The table shows the times, in minutes and seconds, for the members of team to complete the course. Team bstacle ourse Times : : : : : : : : : : : : : : : : : : : : The obstacle course times, in minutes and seconds, for team are summarized in the bo plot shown. Team bstacle ourse Times

34 . art hich histogram represents the times from Team on the obstacle course? Team Team requency bstacle ourse Times requency bstacle ourse Times Team Team requency bstacle ourse Times requency bstacle ourse Times art hich statements are true about the data for team and team? elect all that apply. The median time of team is less than the median time of team. The median time of team is greater than the median time of team. The interquartile range of team is less than the interquartile range of team. The interquartile range of team is equal to the interquartile range of team. The data for team is skewed to the left. The data for team includes an outlier.

35 se the information provided to answer art through art for question. onsider the function function. f ( ), shown in the y-coordinate plane, as the parent y y = f() art The graph of a transformation of the function f ( ) is shown. y hich epression defines the transformation shown? f ( + ) f ( + ) + f ( ) + f ( + ) +

36 art The graph of a transformation of the function f ( ) is shown. y hich epression defines the transformation shown? f ( + ) + f ( + ) + f ( ) f ( + )

37 art The graph of a transformation of the function f ( ) is shown. y hich epression defines the transformation shown? f ( ) f ( ) + f ( ) + f ( + ) +

38 art The graph of a transformation of the function f ( ) is shown. y The transformation shown can be epressed in the form y = p f( + r) + n, where p, r, and n are constants. hich value must be less than? p r n

39 se the information provided to answer art through art for question. The population of a city in was,. y, the city s population had grown to, people.. art ssuming that the population of the city has grown linearly since and continues to grow at the same rate, what will be the population in? nter your answer in the bo. \.\\\\\\..... art hich epression is an appropriate eponential model for the population of the city? et t represent the time, in years, since., (. ) t, (. ) t, (. ) t, (. ) t

40 art ssuming that the population of the city has grown eponentially since and continues to grow at the same rate, what will be the population in? ive your answer to the nearest whole number. nter your answer in the bo. \.\\\\\\..... art nother town s population could be modeled by the function t t () =, (. ), where represents the population and t represents the time, in years, since. ased on the model, by approimately what percent does the population of this town increase each year?

41 se the information provided to answer art and art for question. The area,, in square feet, of a rectangular storage bin in a warehouse is given by the function ( ) = +, where is the width, in feet, of the storage bin.. art f the function is graphed in a coordinate plane, which statement would be true? The -intercepts of the function are and, which are a lower bound and an upper bound for the possible values of the length of the storage bin. The -intercepts of the function are and, which are a lower bound and an upper bound for the possible values of the width of the storage bin. The -intercepts of the function are and, which are a lower bound and an upper bound for the possible values of the length of the storage bin. The -intercepts of the function are and, which are a lower bound and an upper bound for the possible values of the width of the storage bin.

42 art The process of completing the square can be used to calculate the width, in feet, of the storage bin that gives a maimum area. hat is the missing value? nter your answer in the bo. = + = + ( )?.\\\\\\..... \ athematics

43 se the information provided to answer art and art for question. onsider the function f( ) = +.. art hat is the verte form of f ( )? f ( ) = ( ) f ( ) = ( + ) f ( ) = (. ). f ( ) = ( +. ). art hat is a factored form of f ( )? f ( ) = ( + )( ) f ( ) = ( )( + ) f ( ) = ( + )( ) f ( ) = ( )( + )

44 se the information provided to answer art through art for question. eah would like to earn at least $ per month. he babysits for $ per hour and works at an ice cream shop for $ per hour. eah cannot work more than a total of hours per month. et represent the number of hours eah babysits and let y represent the number of hours eah works at the ice cream shop.. art hich graph shows the set of points that represents the number of hours that eah can work in order to earn at least $ and not work more than hours per month? y y ours orking at ce ream hop ours orking at ce ream hop ours abysitting ours abysitting y y ours orking at ce ream hop ours orking at ce ream hop ours abysitting ours abysitting

45 art hich pairs conditions? (, y) represent hours that eah could work to meet the given elect all that apply. (, ) (, ) (, ) (, ) (, ) art f eah babysits for hours this month, what is the minimum number of hours she would have to work at the ice cream shop to earn at least $? ive your answer to the nearest whole hour. nter your answer in the bo. \.\\\\\\.....

46 art eah prefers babysitting over working at the ice cream shop. ut of total hours, what is the maimum number of hours she can babysit to be able to earn at least $ per month? ive your answer to the nearest whole hour. nter your answer in the bo. athematics.\\\\\\..... \

47 se the information provided to answer art and art for question. The diagram shows two cylinders with bases that have the same center and heights of millimeters. mm r mm. art hich is a function for the volume,, that is inside the larger cylinder but outside the one with the smaller radius, r? r () =, π πr r () = π πr r () = πr r () = π( r) art uppose that there is space between the inner and outer cylinders and the radius of the inner cylinder must be an integer greater than or equal to. hat is the domain of? all integers greater than or equal to,,,,,,, or,,,,,, or m

48 se the information provided to answer art and art for question. The function f is defined by f ( ) =.. art f f ( + ) = + k, what is the value of k? nter your answer in the bo. \.\\\\\\..... art hat are the zero(s) of f ( + )? elect all that apply. = = = = = = T

49 T ou have come to the end of the calculator section in nit of the test. eview your answers in the calculator section of nit only. Then, close your test booklet and raise your hand to turn in your test materials. T

50 - rinted in the