Algebra I. Administered May 2015 RELEASED

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1 STAAR State of Teas Assessments of Academic Readiness Algebra I Administered Ma 05 RELEASED Copright 05, Teas Education Agenc. All rights reserved. Reproduction of all or portions of this work is prohibited without epress written permission from the Teas Education Agenc.

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3 STAAR ALGEBRA I REFERENCE MATERIALS STAAR State of Teas Assessments of Academic Readiness GENERAL FORMULAS Slope of a line m = Pthagorean theorem a + b = c Quadratic formula FORMS OF LINEAR EQUATIONS b = b ac a Slope-intercept form = m + b Point-slope form = m( ) Standard form A + B = C Page

4 STAAR ALGEBRA I REFERENCE MATERIALS CIRCUMFERENCE Circle C = πr or C = πd AREA Triangle A = h b Rectangle or parallelogram A = bh Rhombus A = d d Trapezoid A = ( b + b ) h Regular polgon A ap = Circle A = πr SURFACE AREA Lateral Total Prism S = Ph S = Ph + B Pramid S = Pl S = Pl + B Clinder S = πrh S = π rh + πr Cone S = πrl S = πrl + πr Sphere VOLUME S = πr Prism or clinder V = Bh Pramid or cone V Bh = Sphere V = π r Page

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7 Page 7 Algebra I

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9 DIRECTIONS Read each question carefull. For a multiple-choice question, determine the best answer to the question from the four answer choices provided. For a griddable question, determine the best answer to the question. Then fill in the answer on our answer document. The scatterplot shows the number of visitors to a beach each da and the high temperature in degrees Fahrenheit for that da. Visitors to the Beach Number of Visitors High Temperature ( F) Based on this scatterplot, which statement appears to be true? A There is a nonlinear correlation between the high temperature and the number of visitors to the beach. B When the high temperature is above 00 F, fewer than 50 visitors are epected at the beach. C There is no correlation between the high temperature and the number of visitors to the beach. D When the high temperature is between 75 F and 90 F, more than 0 visitors are epected at the beach. Page 9

10 A man bought boes of doughnuts for $.9 each. He paid with a $50 bill and received the correct amount of change. If he received more than $0 but less than $0, which inequalit represents the number of boes of doughnuts he could have bought? F 9 G H J 9 The graph of quadratic function r is shown on the grid What is a solution to r() = 0? A 50 B C D 60 Page 0

11 The function = can be used to find the cost of joining an online music club and buing songs from the website. Based on this information, which statement about the graph of this situation is true? F The -intercept of the graph represents the cost of each song. G The -intercept of the graph represents the cost of joining the music club. H The slope of the graph represents the total number of songs bought b members of the club. J The slope of the graph represents the number of songs each member bus when visiting the website. 5 The first five figures in a pattern are shown below. Each figure is made up of identical circles. Figure Figure Figure Figure Figure 5 If the pattern continues, which epression can be used to find the number of circles that make up Figure n? A n + n B n + C n + D n + n Page

12 6 One wall inside a shoe store is used to displa walking shoes and running shoes. There are 5 pairs of shoes in this displa. There are.5 times as man pairs of walking shoes as there are running shoes on displa. How man pairs of walking shoes and running shoes are on displa? F 90 pairs of walking shoes and 5 pairs of running shoes G 5 pairs of walking shoes and pairs of running shoes H 5 pairs of walking shoes and 90 pairs of running shoes J pairs of walking shoes and 5 pairs of running shoes Page

13 7 The mapping below represents as a quadratic function of Which representation shows the same relationship between and?.75 A 0 C B D = 0.5 Page

14 The slope of the line that passes through the points ( 6, w ) and ( 0, ) is. What is the value of w? F 6 G 9 H J Page

15 9 The population of Webb Count, Teas, from the ear 000 through 00 is shown in the graph. Population of Webb Count, Teas 00 Population (thousands) (0, 9) (0, 50) Number of Years Since 000 If the trend shown in the graph continues, what will be the population of Webb Count in 05? A 07,000 B 7,500 C 7,500 D 5,000 Page 5

16 0 A cit emploee paints curbs in parking lots and replaces road signs. It takes 0.5 hour to paint a parking lot curb and.5 hours to replace a road sign. The function below can be used to find c, the number of parking lot curbs the emploee paints when he replaces r road signs in a 0-hour workweek. c 0.5r 0.5 If the emploee painted 0 curbs in one week, how man road signs did he replace that week? F 0 G 0 H 0 J Customers at a bank are charged a fee when the echange U.S. dollars for foreign currenc. The function f () can be used to determine the number of Japanese en a customer receives in echange for dollars, where > 5. Which table shows this relationship? U.S. Dollars Echanged Japanese Yen Received U.S. Dollars Echanged Japanese Yen Received A 50,7.5 C 50, ,0 5 6,0 0 9,.5 0 9,07.5 5, ,07.5 U.S. Dollars Echanged Japanese Yen Received U.S. Dollars Echanged Japanese Yen Received B 65 5,0.5 D 0,0 0 6,0 5 7, ,50 0 9,0 5 9,.5 5,0 Page 6

17 A rectangular prism has a width of inches, a length of inches, and a height of inches. Which epression represents the volume in cubic inches of this rectangular prism? F G H J Page 7

18 The graph of line t is shown on the grid Line w is steeper than line t and has a -intercept that is below the -intercept of line t. Which function could be represented b line w? A = B = + C = + D = A senior emploee who works 6 hours earns $9.50 more than a junior emploee who works hours. The senior emploee earns $ per hour. What is the hourl pa in dollars and cents for the junior emploee? Record our answer and fill in the bubbles on our answer document. Page

19 5 In three different workouts a runner burned 00 calories in 0 minutes, 50 calories in 5 minutes, and 00 calories in 0 minutes. Based on the data, which statement is true if the number of calories burned is a function of the number of minutes the runner worked out? A The number of minutes the runner worked out is the dependent quantit. B The number of workouts the runner completed is the dependent quantit. C The number of calories burned is the dependent quantit. D The number of steps the runner takes is the dependent quantit. 6 What is the range of the function graphed on the grid? F { =,, } G H J =, 0, Page 9

20 7 Points (, ) and (7, ) are on the graphs of both quadratic functions f and g. The graph of f opens downward, and the graph of g opens upward. Which of these statements are true? I. The graphs of f and g have the same ais of smmetr. II. The graphs of f and g have the same -intercepts. III. The graph of f has a maimum point, and the graph of g has a minimum point. IV. The graph of f is the result of a reflection of the graph of g across the -ais. A I onl B II onl C II and IV D I and III A scientist needs to print a research report on her computer s printer. If she prints in black ink onl, b(t) 5 t describes the number of pages left to print after t minutes. If she prints in colored ink, c(t) 5 0t describes the number of pages left to print after t minutes. Based on this information, which statement is true? F The printer prints more pages per minute in colored ink than in black ink. G The printer prints fewer pages per minute in colored ink than in black ink. H The printer prints the same number of pages per minute in either tpe of ink. J The printer prints the entire research report in 5 minutes. 9 Which epression is equivalent to? A m 5m B m m 6 9 C m 7m 6 5 D m m 9 Page 0

21 0 The graph of an equation in the form = m + b is shown on the grid (0, 5) (5, ) Based on the graph, what is the value of when = 7? Record our answer and fill in the bubbles on our answer document. When a contractor paints a square surface that has a side length of feet, he needs to know the area of the surface in order to bu the correct amount of paint. Since the contractor alwas adds 5 square feet to the area, he bus etra paint. Which function can be used to find the total area in square feet, A(), that the contractor will use to determine how much paint he needs to bu? A A() = 5 B A() = (5 + ) C A() = (5) D A() = + 5 Page

22 The graph below shows the change in the value of a car over several ears. Value of a Car 0 Value (thousands of dollars) Time (ears) Based on the information in the graph, which conclusion appears to be true? F The car lost about one-half of its value ever ears. G The car lost about one-quarter of its value ever ear. H The car lost less of its value between ears 9 and 0 than between ears and. J The car lost more of its value between ears 9 and 0 than between ears and. What is the equation in standard form of the line that passes through the point (, ) and has a slope of? A 6 B C 6 D Page

23 A new spiral notebook contains 0 more sheets of paper than a new memo book. The total number of sheets of paper in new spiral notebooks and 5 new memo books is 0. Which sstem of equations can be used to find s, the number of sheets of paper in one new spiral notebook, and m, the number of sheets of paper in one new memo book? s m 0 F s 5m 0 s m 0 G s 5m 0 s m 0 H 5s m 0 s m 0 J 5s m 0 5 Which function is equivalent to f() 6 5? A f() ( )( 5) B f() ( 5)( ) C f() ( )( 5) D f() ( 5)( ) Page

24 6 The average blue whale gains weight at a constant rate each da during its first si months of life. The relationship between the average blue whale s weight in tons, w, and its age in das, d, for the first si months of its life can be modeled b the function w = 0.d +. Based on this relationship, which statement is not true for the average blue whale? F The average blue whale weighs tons at birth. G When the average blue whale is 5 das old, it weighs 0 tons. H The average blue whale gains 0. ton per da during its first si months of life. J When the average blue whale weighs tons, it is 50 das old. 7 Quadratic functions g and k are shown below. g() 5 k() 5 c For what value of c will the graph of k be 9 units above the graph of g? Record our answer and fill in the bubbles on our answer document. Page

25 A customer pas an annual membership fee of $5 to a neighborhood car wash. Each time he takes his car to the car wash, he pas onl $7. The total amount of mone he spends at the car wash in one ear in dollars can be found using the function = What does the variable represent in this function? F The total amount of mone the customer spends each month at the car wash G The number of months the customer has been a member at the car wash H The number of times the customer takes his car to the car wash in one ear J The cost each time the customer takes his car to the car wash 9 The owner of a store bus large boes of cand bars from a warehouse and repackages them to sell in smaller boes in his store. The store owner packages cand bars in each small bo. Each large bo contains cand bars. Which graph represents the relationship between large boes and small boes? Cand Bars Cand Bars A Number of Small Boes 0 6 C Number of Small Boes Number of Large Boes 0 5 Number of Large Boes Cand Bars Cand Bars B Number of Small Boes 5 D Number of Small Boes Number of Large Boes Number of Large Boes Page 5

26 0 The function L = 0.T models the relationship between L, the length in feet of a pendulum, and T, the period in seconds of the pendulum. Which value is closest to the period in seconds for a pendulum that is 0 ft long? F 5. s G.9 s H 6. s J 6. s Airline passengers pa $9 to fl to California. For this price, customers ma check pieces of luggage. There is a fee of $5 for each additional piece of luggage a passenger wants to check. Which function can be used to find the amount in dollars a passenger has to pa to fl with p pieces of luggage, where p? A c 5p + 9 B c 5( p ) 9 p C c 9 5 p D c 9 5 Page 6

27 There are founding members of an organization. The function = + can be used to determine the number of members in the organization after months. Based on this function, which statement is true? F The number of members in the organization increases b 9 members each month. G At the end of 6 months, there will be members in the organization. H The number of members in the organization increases b members each month. J At the end of 6 months, there will be 0 members in the organization. The scatterplot below shows the relationship between the number of baseballs used in games and the number of pitches thrown in these games. Baseballs Used Number of Baseballs Pitches Thrown Based on the scatterplot, what is the best prediction of the number of baseballs that will be used if 75 pitches are thrown? A 50 C 00 B 60 D 60 Page 7

28 A plane can carr a maimum cargo weight of 60,000 pounds. A compan uses one of these planes to ship,000-pound containers. The total cargo weight is a function of the number of containers in the plane. What is the greatest value in the domain for this situation? Record our answer and fill in the bubbles on our answer document. 5 What is the value of in the solution to this sstem of equations? 6 0 A B C 0 D Page

29 6 The table represents some points on the graph of linear function g. g() The graph of g was translated down 0 units to create the graph of function h. Which statement comparing the graphs of g and h is true? F The -intercept of the graph of g is 0 units to the right of the -intercept of the graph of h. G The graph of g is steeper than the graph of h. H The -intercept of the graph of g is 0 units above the -intercept of the graph of h. J The graph of g is less steep than the graph of h. 7 What are the solutions to the equation + 5 =? A = and = B = 6 and = C = 6 and = D = 0 and = Page 9

30 A factor worker packed boes at a constant rate, took a 0-minute break, and then continued packing boes at twice the rate before the break. The worker then spent hour cleaning the work area. Which graph models this situation? Work Rate Work Rate F Boes Packed Time (h) H Boes Packed Time (h) Work Rate Work Rate G Boes Packed Time (h) J Boes Packed Time (h) Page 0

31 9 The table represents some points on the graph of linear function h. h() Which situation can be modeled b this function? A The cost in dollars of buing items that cost $5 each B The number of miles an airplane had traveled after fling 555 miles per hour for hours C The remaining number of miles on a 60-mile trip after traveling 65 miles per hour for hours D The amount owed on a $555 loan after paing $65 per month for months 0 Which inequalit represents all the values of for 6( ) when = 6? F 0 G H J 0 Page

32 What is the zero of r() 6? A 6 B 6 C 6 D 6 The cost of parking in the garage at the airport is $6 per da. A separate parking facilit outside the airport charges 5% less per da to park. What would be the savings in dollars and cents of parking for 6 das in the facilit outside the airport instead of in the airport garage? Record our answer and fill in the bubbles on our answer document. Two functions are given below. p() q() 5 5 How does the graph of p compare with the graph of q? A The graph of p has a different -intercept than the graph of q. B The graph of p is less steep than the graph of q. C The graph of p is steeper than the graph of q. D The graph of p is parallel to the graph of q. Page

33 The graph models A, the area in square feet of a rectangular porch with a length that is 0.56w less than ft given a width of w feet. A Porch Area Area (ft ) Width (ft) w Based on the graph, what is the width in feet of the porch with the greatest area? F 75 ft G 50 ft H 5 ft J 50 ft Page

34 5 The owner of a clothing store bus T-shirts for c dollars each and sells them for p dollars each. Last month she bought 600 T-shirts and sold 500 of them and made a profit of $,00. This month she bought 00 T-shirts and sold them all and made a profit of $,00. Which sstem of equations can be used to determine the values of c and p? 500p 600c,00 A 00p 00c,00 600p 500c,00 B 00p 00c,00 500p 600c,00 C 00p c,00 600p 500c,00 D 00p c,00 6 Which representation does not show as a function of? F 0 0 H G {(, ), (0, ), (, ), (7, 7)} J Page

35 7 The graph below shows the relationship between the number of gallons of fuel remaining in a truck and the number of hours the truck has been driven. Driving a Truck Fuel (gal) Time Driven (h) What does the -intercept of the graph represent? A The number of gallons of fuel in the truck before an driving occurred B The number of hours the truck was driven before running out of fuel C The number of gallons of fuel the truck can hold D The number of hours required to use one gallon of fuel If f() ( ) and g() +, which statement is true? F f ( ) G f(0) H f () J f () g( ) g( ) g() g() Page 5

36 9 Which graph represents the inequalit 7? A C B D If the value of varies inversel with, which function represents the relationship between and if = when =? F = G = 6 H = 6 J = Page 6

37 5 Function k has a parent function. The table shows some ordered pairs that belong to k. k() Which graph shows the parent function of k? A C B D Page 7

38 5 What is the solution to the sstem of equations below? 7 F The ordered pair (, 0) is the solution. G The ordered pair (0, ) is the solution. 7 H There are an infinite number of solutions. J There is no solution. 5 The graphs show the cost of attending a count fair on Thursda and on Saturda and plaing games each da. Thursda Saturda Cost ($) Number of Games Cost ($) Number of Games Based on the graphs, which statement is true? A The cost of each game on Thursda is $0.50 less than the cost of each game on Saturda. B A person would spend $ more to attend the fair and pla 6 games on Saturda than on Thursda. C The cost of each game on Saturda is $ less than the cost of each game on Thursda. D A person would spend $ more to attend the fair and pla 5 games on Thursda than on Saturda. Page

39 5 The student council sent its members on four field trips during the school ear. The number of buses needed to transport the members on each trip is a function of the number of members who went on each trip. This function consists of onl the ordered pairs (5, ), (7, ), (6, 5), and (05, 6). What is the domain for this situation? F {5, 05} G {,, 5, 6} H {5, 7, 6, 05} J {,, 5, 6, 5, 7, 6, 05} Page 9 BE SURE YOU HAVE RECORDED ALL OF YOUR ANSWERS ON THE ANSWER DOCUMENT. STOP

40 STAAR Algebra I Ma 05 TX A B C D E Printed in the USA DPSS/ISD7