Algebra I. Practice Test 2 Booklet. Student Name:

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1 Student Name: lgebra I Practice Test ooklet This publication/document has been produced under a contract with the Mississippi Department of Education. Neither the Department nor an other entities, public or private, shall hold copright on this publication/document. ecause this publication/document was produced with the public funds of Mississippi, it ma be reproduced within the scope of its original purpose of educational development. Reproduction and use for monetar gain are strictl prohibited.

2 lgebra I DIRETIONS Read each problem carefull. Then work the problem and find our answer among the answer choices.

3 Which of the following epressions is equivalent to ( ) ( )? D 0 In leo s class, g, the number of girls, is times b, the number of bos. There are a total of students in the class. Which sstem of equations could be used to evaluate this situation to determine the number of bos in leo s class? b g b g In which of the following sets of points is a function of? b g g b {(, ),(, ),(, ),(, )} {(, ),(, ),(, ),(, )} {(, ),(, ),(, ),(, )} J {(, ),(, ),(, ),(, )} g b b g D b g g b Which of the following binomials is NOT prime? J O ON

4 The graph below shows how far Kevin was from his house during the first minutes of his walk to school. Distance rom The ouse (miles) During which time interval is the rate of change the greatest? D.. 0. Kevin Walking to School 0 to minutes to minutes to minutes to minutes Time (minutes) Matrices and are shown below. 0 Which of the following matrices represent? 0 J 0 0 O ON

5 Lisa recorded the concentration, in milligrams per liter, of dissolved ogen in saline water at different temperatures, in degrees elsius, and made the scatter plot shown. oncentration of Dissolved Ogen (mg/l) Dissolved Ogen in Water Temperature ( ) Which of the following statements is true about the relationship between the concentration of dissolved ogen and the temperature of the water? The specifications for one of the bolts in a motor require that the diameter of the bolt, in millimeters, satisfies the inequalit d Which of the following represents a bolt that could NOT be used in this motor? J. mm. mm. mm. mm Mr. Paulson has a rectangular fenced area that has a length of feet and a width of feet. e plans to create a new rectangular fenced area using the original fence materials. e is going to remove feet from the length and add it to the width. D The concentration of dissolved ogen in water decreases with an increase in temperature. The concentration of dissolved ogen in water increases with an increase in temperature. The concentration of dissolved ogen in water does not depend on the temperature of the water. The concentration of dissolved ogen in water decreases with a decrease in temperature. ft Which epression below is one wa to represent the difference, in square feet, between the new fenced area and the original fenced area? D Original area ft O ON

6 0 There are two student volunteers stuffing 00 envelopes for a local charit. The equation below represents t, the time in hours it will take the two students working together to complete the entire job. What is the value of t in this equation? J t t Which of the following binomials is a factor of? D Which of the following is equivalent to z? z The scatter plot below shows data from an eperiment that tested the amount of lactic acid present in aging cheese. Lactic cid (parts per thousand) Which conclusion is best supported b the scatter plot? D Lactic cid in heese ge of heese (das) The longer cheese ages, the less lactic acid present. The longer cheese ages, the more lactic acid present. The amount of lactic acid present remains constant as cheese ages. No relationship eists between the time cheese ages and the amount of lactic acid present. J z z z z O ON

7 Which of the following best represents the graph of? 0 0 J 0 0 O ON

8 or which function will the value of alwas be triple the value of? ( ) D t :0 a.m. a man in a parachute is 000 feet above the ground. t :0 a.m. the same man is 00 feet above the ground. What is the average rate of change, in feet per minute, between :0 a.m. and :0 a.m.? Shell drew a line segment connecting point (, ) and point (, ) on a coordinate grid. Which is closest to the length of? 00 D 00 J units units units units O ON

9 Matri W shows the hourl wage of the analst positions and the number of ears an analst has worked for an insurance compan. The compan has decided to give all analst positions a 0% raise in their hourl wage. W nalst Level nalst Level nalst Level 0 rs rs + rs Which matri shows 0.0W W, the new hourl wages of the analst positions? 0 rs rs + rs 0 rs rs + rs nalst Level nalst Level..0. nalst Level 0... nalst Level 0... nalst Level... nalst Level rs rs + rs J 0 rs rs + rs nalst Level..0. nalst Level nalst Level 0... nalst Level nalst Level nalst Level O ON

10 The table below shows the average dail temperature, in degrees ahrenheit, for select das in pril for Townsville. Townsville s verage Dail Temperature Which of the following is closest to the line-ofbest fit for the data? Da () Temperature () 0 Nathan correctl graphed the line of the inequalit on a coordinate grid, as shown, but did not shade the solution set. 0 Which of the following points would appear in the solution set of this inequalit? (, ) (, ) (, ) J (, ) D The courtard at the cit hall building is shaped like a square. The area of the courtard can be represented b ( ) square feet. Which epression represents the length, in feet, of one side of the courtard? D 0 O ON

11 Which of the following graphs does NOT represent a function of? 0 0 J 0 0 O ON

12 The coach keeps track of the number of shirts b size of the swim team and the tennis team. The following matrices represent the number of shirts b size of the swim team and the total number of shirts b size of both the swim and tennis teams. Small Medium Large Shirt Sizes for Swim Team os irls 0 Small Medium Large Shirt Sizes for oth Teams os irls Which of the following matrices represents the number of shirts b size of the tennis team? Shirt Sizes for Tennis Team Shirt Sizes for Tennis Team Small Medium Large os irls Small Medium Large os irls 0 Shirt Sizes for Tennis Team D Shirt Sizes for Tennis Team Small Medium Large os irls 0 Small Medium Large os irls 0 0 O ON

13 Which statement best describes the graph of the linear equation? The graph has a slope of and a -intercept of. The graph has a slope of and a -intercept of. The graph has a slope of and a -intercept of. J The graph has a slope of and a -intercept of. n equation and the first step in its solution are shown below. 0 Step : h h What value of h should be used to solve the equation b the method of completing the square? D ( ) ( ) linear function is graphed on the grid below. Which equation best represents a line that is perpendicular to the graph? J 0 O ON

14 Kell recorded the following data while observing the temperature, in degrees ahrenheit, of a chemical liquid cooling in her science class. What is the rate of change for the temperature of this liquid? D ooling Temperature of hemical Time (minutes) 0 0 Temperature ( ) degrees per minute 0. degrees per minute 0. degrees per minute. degrees per minute Eli used the steps shown below to solve the given equation. is teacher said his solution was incorrect. iven: In which step did the first error appear? Step Step Step J Step ( ) Step : Step : Step : Step : Step : Step : Step : Which epression is equivalent to ( ) ( )? D O ON

15 0 Emma recorded the square footage of several rental houses in one neighborhood and the rental cost of each house. She made the following scatter plot with the data she collected. Rental ost of ouses Rental ost (dollars) rea of ouse (square feet) Emma concluded that her graph proves that the cost for a rental house decreases as the square footage of the house decreases. Which statement could be used to justif Emma s conclusion? J The data points form a straight line. The data points are all in the first quadrant. The data points would be above a line-of-best fit. line-of-best fit would show a positive correlation. Which of the following quadratic equations has as one of its solutions? D 0 The diameter of a circular pond is 0. kilometers. Which is closest to the area of the surface of the pond? 0. km 0. km 0. km J. km O ON

16 Which statement best describes the relationship between the graphs of the two linear equations below? D The lines are the same. The lines are parallel. The lines intersect and are perpendicular. The lines intersect but are not perpendicular. Which equation best represents the line-of-best fit for the data shown in the table below? J 0 ndrew plans to bu T-shirts and sweaters. The price in dollars, including ta, of each T-shirt and sweater is shown in matri. The store is offering a % discount on all the items. ndrew determined the sale price of each item as shown in the matri below. Which operation justifies the sale price of each item he plans to bu? J 0. T-shirts Sweaters 0 Which of the following epressions is equivalent to ( )? D T-shirts Sweaters Which epression is equivalent to ( )( )? 0 D 0 O ON

17 The graph of a linear function is shown on the grid below. What is the equation for the line on the grid? J (,) 0 (0, ) 0 On a coordinate plane, line and are parallel. Which statement about and MUST be true? J kangaroo in a single hop can reach a maimum height of feet. The equation below can be used to determine h, the height in feet of the kangaroo s leap from the ground after t seconds. ow man seconds would it take for the kangaroo to reach its maimum height from the ground? D oth lines have the same -intercept. oth lines have the same -intercept. oth lines have the same equation. oth lines have the same slope. h t t 0. second 0. second.0 seconds. seconds l l l l The skating surface of a cit s rectangular ice skating rink is feet b 00 feet. Which is closest to the diagonal length of the ice skating rink? D feet feet feet 0 feet O ON

18 The following scatter plot and the line-of-best fit shows the relationship between a woman s height and her shoe size. Shoe Size 0 ased on the linear model, which is the best prediction of the shoe size of a woman who is inches tall? 0. 0 J. Women s Shoe Sizes eight (inches) Matrices M and N are shown below. Which of the following represent M N? D M 0 Which of the following is the solution for? N or or or 0 J or Jerem plans to construct a storage building that will have a square-shaped floor. In his plans, each side is represented b the epression ( ) feet. If the plans show that the perimeter of the floor of the building is feet, what is the value of? D O ON

19 The table shows the number of times different documents were reviewed and the total number of errors that were found on each document. Document Review Number of Reviews () Number of Errors () Which equation best represents the line-of-best fit for the data in the table? What is the solution set of the equation? {, } J {, } { }, {, } The volume of a sphere can be determined b the formula V π r. Which of the following describes the volume of a sphere when its radius is tripled? 0 J D The volume will be times as large as the original volume. The volume will be times as large as the original volume. The volume will be times as large as the original volume. The volume will be times as large as the original volume. What is the factored form of ( )( ) ( )( ) ( )( ) D ( )( )? O ON

20 0 n automobile dealership used matrices to represent the inventor of sport-utilit vehicles (SUVs) and cars on its lot before and after a deliver of new automobiles. utomobile Inventor efore Deliver SUVs ars ompact ull-size Luur utomobile Inventor fter Deliver SUVs ars ompact 0 ull-size 0 Luur Which matri represents the number of SUVs and cars that were delivered to the automobile dealership? SUVs ars ompact ull-size 0 Luur SUVs ars ompact ull-size Luur SUVs ars ompact ull-size Luur J SUVs ars ompact ull-size Luur 0 O ON

21 Monica s rectangular lawn has a length of 0 feet and a width of feet. She made a flower bed along two sides of the lawn, as shown in the diagram. What is the solution to the equation ( ) ( )? 0 ft Lawn ft D lower ed ft Which of the following epressions can be used to find the area, in square feet, of the flower bed? D 0 0 ft Wanda drew a regular octagon that has side lengths of ( ) centimeters, as shown below. ( + ) cm Which graph best represents the solution set for 0? J What is the perimeter, in centimeters, of the octagon Wanda drew? J O ON

22 The total charge in dollars for a car rental can be determined b using the function c 0., where c represents the total cost of the rental and represents the total distance traveled in miles. Velocit (feet per second) Which statement justifies that the total cost for renting this car and driving a distance of 00 miles is $.00? D The total cost increases $0.0 for ever miles traveled. The total cost increases $.00 for ever 0 miles traveled. There is an initial charge of $.00 for ever mile traveled. The cost increases $0.0 for ever mile traveled after an initial charge of $.00. The data below shows the velocit of a cclist during a 0-second time period. 0 0 ased on the scatter plot, which of the following describes the time when the velocit of the cclist was greater than feet per second? J Velocit of a clist Time (seconds) etween and seconds etween. and. seconds etween. and. seconds etween and seconds The graph for the sstem of inequalities without the shading of its solution set is shown on the coordinate grid. Which area should be shaded to represent the solution set of this sstem of inequalities? rea rea rea D rea rea rea rea 0 rea What is the solution set for the equation c c? { }, {, } {, } { } J, O ON

23 Susie graphed the equation of a line that passes through point (, ) and is parallel to the graph of. Which of the following represents the equation of the line that Susie graphed? D enr drew two circles. The first circle he drew has a radius of centimeters and an area of π square centimeters. If the radius of the second circle is half that of his first circle, which of the following describes the area of the second circle? The area of the second circle is times the area of his first circle. The area of the second circle is times the area of his first circle. The area of the second circle is the area of his first circle. D The area of the second circle is the area of his first circle. 0 Triangle LMN has vertices L (, ), Which of the following trinomials is prime over M (, ), and N (, ) as shown below. the set of rational numbers? L 0 M N 0 J Which of the following is a true statement? The slope of MN is. The slope of LN is. The midpoint of ( ) ( ) MN is,. J The midpoint of LN is, 0. O ON

24 Which graph best represents the line that is parallel to the line defined b? 0 0 D 0 0 O ON

25 If, which inequalit has the solution The table shows the relationship between, the? number of emploees hired for a construction project, and, the cost of the project. J onstruction Project Number of Emploees 0 ost of Project (dollars) , ,0 Which equation is closest to the line-of-best fit for this data? D STOP

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