STAAR State of Teas Assessments of Academic Readiness Algebra I Administered Ma 0 RELEASED Copright 0, 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.
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
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
Page 7 Algebra I
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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. Which situation can be represented b =? A The number of eggs,, in dozen eggs for sale after dozen eggs are sold B The cost,, of buing movie tickets that sell for $8 each C The cost,, after a $ discount, of buing T-shirts that sell for $ each D The number of inches,, in an -foot-tall tree after cutting off feet The scatterplot shows the number of free throws that different basketball plaers attempted and the number that each plaer made. Free Throws 80 Free Throws Made 70 60 50 0 0 0 0 0 0 0 0 0 50 60 70 80 90 Free Throws Attempted Based on the trend in the data, approimatel how man free throws would a plaer be epected to make if he attempted 60 free throws? F 50 G 5 H 5 J 60 Page 9
5 Which table shows the same rate of change of with respect to as =? 8 A C 6.50.75 8.50 5 0 8 B 0. 0.8 D. 8 8 8.8 5 0 A teacher will determine the total number of books to order for a class using the function b(n) = n, where n represents the number of students in the class. What is the independent quantit in this situation? F The number of students in the class G The total number of books to order H The number of books each student needs J Not here Page 0
5 The graph of quadratic function g is shown below. 5 5 6 7 8 Based on the graph, between which two values of is a zero of g located? A 9 and 8 B and C 7 and 5 D and 5 6 A college student needs classes that are worth a total of 0 credits in order to complete her degree. The college offers both -credit classes and -credit classes. Which sstem of equations can be used to determine f, the number of -credit classes the student can take to complete her degree, and h, the number of -credit classes? F f + h = 0 h + f = G f + h = h + f = 0 H f + h = 0 f + h = J f + h = f + h = 0 Page
7 The graph shows the time it took a worker to package 6 bottles of shampoo. Packaging Shampoo Bottles Number of Bottles 0 8 6 0 8 6 0 5 0 5 0 5 0 5 0 5 50 Time (min) The net da two workers packaged twice the number of bottles of shampoo in the same amount of time. If this new relationship is graphed on the same coordinate grid, which statement is true? A The new graph would have a -intercept at 80. B The new graph would be steeper than the original graph. C The new graph would be less steep than the original graph. D The new graph would have a -intercept at 8. Page
8 The side lengths of the figure below are given in centimeters. If the perimeter of this figure is 78 cm, what is the value of? F G 6 H 6 J 9 One tpe of redwood tree has an average height of 65 feet when it is 0 ears old. If the tree is more than 0 ears old, the average height, h, can be modeled b the function h =.95(a 0) + 65, where a is the age of the tree in ears. Which statement about this situation is true? A Ever additional.95 ft of length over 0 ft adds 5 ears to the age of this tpe of redwood tree. B For this tpe of redwood tree, the average height increases b.95 ft per ear throughout its lifetime. C Each additional ear of age over 0 ears adds.95 ft to the average height of this tpe of redwood tree. D For this tpe of redwood tree, the average height increases b 65 ft for ever 0 ears of growth. Page
0 The mapping below represents all of the points on the graph of function f. f() 0 7 5 0 What is the domain of f? F {,, 0,, 7} G { 5,,, 0,,,, 7} H { 5, 0,,, } J {5} What is the value of in the solution to the sstem of equations below? 5 = 0 + 9 = 7 A B C D 6 Page
The length, in feet, of a small train at an amusement park can be modeled b the function f(c) = 9c +, where c is the number of passenger cars attached to the locomotive. The original passenger cars were replaced, and the length of the train is now modeled b the function h(c) = c +. Based on this information, which statement describes the change in this situation? F The locomotive is now 9 feet long, and the length of each passenger car remained the same. G The locomotive is now feet long, and the length of each passenger car remained the same. H Each passenger car is now 9 feet long, and the length of the locomotive remained the same. J Each passenger car is now feet long, and the length of the locomotive remained the same. The table of values for quadratic function g is shown below. g() 8 0 6 0 6 0 6 6 0 If is a solution to g() = 0, what is the other solution? A B C 6 D Page 5
A student bought concert tickets online. The total cost, c, in dollars, of t tickets can be found using the function below. c =.50t + 9.50 If the student spent a total of $8 on tickets, how man tickets did he bu? Record our answer and fill in the bubbles on our answer document. 5 Which graph represents the inequalit + >? A 9 8 7 6 5 9 8 7 6 5 5 6 7 8 9 5 6 7 8 9 C 9 8 7 6 5 9 8 7 6 5 5 6 7 8 9 5 6 7 8 9 B 9 8 7 6 5 9 8 7 6 5 5 6 7 8 9 5 6 7 8 9 D 9 8 7 6 5 9 8 7 6 5 5 6 7 8 9 5 6 7 8 9 Page 6
6 Which statement about the quadratic parent function is true? F Its graph is smmetrical about the -ais. G Its graph is smmetrical about the -ais. H Its domain is the set of all non-negative numbers. J Its range is the set of all real numbers. 7 The graph shows the relationship between the number of cookies a presenter at a convention had left to give awa and the number of presentations she had made. Cookies at Presentation Cookies Left 80 60 0 0 00 80 60 0 0 0 5 6 7 8 9 0 Presentations Made What does the -intercept of the graph represent? A The number of cookies the presenter had before making an presentations B The maimum number of cookies the presenter gave awa during ever presentation C The number of presentations the presenter made per hour D The maimum number of presentations the presenter made before running out of cookies Page 7
8 A farmer uses a lever to move a large rock. The force required to move the rock varies inversel with the distance from the pivot point to the point the force is applied. A force of 50 pounds applied to the lever 6 inches from the pivot point of the lever will move the rock. Which function models the relationship between F, the amount of force applied to the lever, and d, the distance of the applied force from the pivot point? F Pivot point d Rock F F d =,800 G d = 86 F H F =,800 d d J F = 86 9 Which set of ordered pairs represents as a function of? A {( 9, ), (0, 6), (, ), (, 6)} B {(, 0), (, ), ( 7, ), (, 8)} C {(, ), (, ), (, ), (, )} D {(5, ), (, ), (, ), (, )} Page 8
0 There are 56 laptops and desktop computers in a lab. There are 8 more laptops than desktop computers. What is the total number of laptops in the lab? Record our answer and fill in the bubbles on our answer document. Which statement about the quadratic functions below is false? f () = + 6 g() = 5 h() = + A The graphs of two of these functions have a minimum point. B The graphs of all these functions have the same ais of smmetr. C The graphs of two of these functions do not cross the -ais. D The graphs of all these functions have different -intercepts. Page 9
Which equation can be represented b the graph shown below? 9 8 7 6 5 9 8 7 6 5 5 6 7 8 9 5 6 7 8 9 F + 8 + 6 = 0 G 8 + 6 = 0 H 8 6 = 0 J + 8 6 = 0 The first five terms in a pattern are shown below. 0.5, 0.5, 0, 0.5, 0.5,... If the pattern continues, which epression can be used to find the nth term? A 0.75n.5 B 0.5n 0.5 C 0.5n 0.75 D 0.5n + 0.5 Page 0
What are the solutions to the equation =? F = ± 0 G = ± H = ± J = ± 0 5 Which inequalit is equivalent to + > 5 + 9? A > + B > C < D < Page
6 The approimate distance in miles between Los Angeles and a commercial jet fling from Boston to Los Angeles can be found using the function m = 75t +,650, where t is the number of hours the jet has been fling. Which number of hours and minutes is closest to the amount of time that the jet has been fling if the jet is,500 miles from Los Angeles? F hours and 5 minutes G 8 hours and minutes H hours and 6 minutes J 9 hours and minutes 7 The total cost of renting a banquet hall is a function of the number of hours the hall is rented. The owner of the banquet hall charges $85 per half hour up to a maimum of hours plus a $50 cleaning fee. What is the greatest value in the range for this situation? Record our answer and fill in the bubbles on our answer document. Page
8 The number of possible pairings of objects selected from a set of objects can be modeled b p() = 0.5( ). Which table shows this quadratic relationship? Objects Objects Number of Objects, Possible Pairings, p() Number of Objects, Possible Pairings, p() F H 6 9 8 7 78 78 Objects Objects Number of Objects, Possible Pairings, p() Number of Objects, Possible Pairings, p() G J 5 0 6 8 8 0 66 66 9 Two functions are given below. f() = + g() = + How does the graph of f compare with the graph of g? A The graph of f is less steep than the graph of g. B The graph of f has the same -intercept as the graph of g. C The graph of f is parallel to the graph of g. D The graph of f is steeper than the graph of g. Page
0 Which situation is represented b the graph below? Volume of Lemonade in Pitcher Time F A man poured lemonade from a full pitcher at a constant rate. Then for several seconds, he stopped pouring from the pitcher. Then the man poured the rest of the lemonade from the pitcher at a faster rate than before. G A bo poured lemonade into an empt pitcher. Then for several seconds, he stopped pouring into the pitcher. Then the bo poured more lemonade into the pitcher at a slower rate than before. H A woman poured lemonade from a full pitcher at a constant rate. Then for several seconds, she stopped pouring from the pitcher. Then the woman poured the rest of the lemonade from the pitcher at a slower rate than before. J A girl poured lemonade into an empt pitcher. Then for several seconds, she stopped pouring into the pitcher. Then the girl poured more lemonade into the pitcher at a faster rate than before. The measure of an obtuse angle is represented b (9 + 7). Which is not a possible value for? A 7. B. C 6.9 D 6.8 Page
An online music service lets customers download an unlimited number of songs for $0.5 each after paing a monthl membership fee of $5.00. The total amount of mone a customer spends on music in dollars in a single month can be found using the function = 0.5 + 5. What does the variable represent in this function? F The total amount of mone the customer spends on music each month G The number of songs the customer downloads each month H The number of customers that use the music service J The cost of downloading one song Which graph can be obtained b translating the graph of h() = 0. + down 7 units? A 0 9 8 7 6 5 9 8 7 6 5 5 6 7 8 9 5 6 7 8 C 0 9 8 7 6 5 9 8 7 6 5 5 6 7 8 9 5 6 7 8 B 0 9 8 7 6 5 9 8 7 6 5 5 6 7 8 9 5 6 7 8 D 0 9 8 7 6 5 9 8 7 6 5 5 6 7 8 9 5 6 7 8 Page 5
The mass of a substance varies directl with the volume of the substance. The volume of 00 kilograms of the substance is 80 liters. What is the volume, in liters, of. kilograms of this substance? Record our answer and fill in the bubbles on our answer document. Page 6
5 The graph shows the cost of purchasing small flags at a gift shop if the flags are equall priced. Gift Shop Cost (dollars) 9 8 7 6 5 0 9 8 7 6 5 0 Number of Flags Based on this information, which ordered pair represents an additional point on the graph? A (5, 9) B (8, ) C (6, ) D (7, 9) Page 7
6 The table shows the functions used to determine the number of points earned ever month b regular and elite members of a dining club who spend d dollars that month at participating restaurants. Dining Club Points Member Status Regular Elite r e Points Earned = 5d + 00 = 8d + 00 Which statement describes the difference in these situations? F Regular members earn more points for ever dollar spent and are automaticall awarded 00 more points per month than elite members. G Regular members earn more points for ever dollar spent and are automaticall awarded 00 more points per month than elite members. H Elite members earn more points for ever dollar spent and are automaticall awarded 00 more points per month than regular members. J Elite members earn more points for ever dollar spent and are automaticall awarded 00 more points per month than regular members. 7 Which of the following describes all the solutions to the inequalit 5 + 7 when =? A 0 B 0 C 0 D 0 Page 8
8 The table shows the plaing time in minutes of high-definition videos and the file size of these videos in megabtes (MB). Videos Plaing Time, (min) 0.5.5.5 5 File Size, (MB) 60 80 0 50 600 What does the slope of the graph of this situation represent? F The increase in the file size of the video per minute of plaing time G The file size of each video H The plaing time of each video J The increase in the plaing time per MB of video Page 9
9 Function f is graphed below. What is the range of f? A { < } B { < } C { < } D { < } 0 Which statement about the quadratic equation below is true?.5 + 7 = 0 F The equation has = as its onl solution. G The equation has no real solutions. H The equation has = and = as its onl solutions. J The equation has an infinite number of solutions. Page 0
Which representation shows the same relationship as g() = (6 + )? g() A 8 0 6 5 B g = {(, 08), (0, 9), (, 6), (, 0)} g 8 0 6 C 8 0 6 6 0 8 6 0 8 g() D 5 5 9 6 Page
If f() = + 8, what is the value of f(6)? Record our answer and fill in the bubbles on our answer document. An architecture student is drawing a graph of an arch. As shown below, the arch has the shape of a parabola that begins at the origin and has a verte at (.6,.). Arch Drawing 0 9 8 7 6 5 0 5 6 7 8 9 0 Other than the origin, at which point will the graph intersect the -ais? A (., 0) B (9., 0) C (.6, 0) D (0.6, 0) Page
The volume of two identical cubes is related to the edge length of the cubes. Which function represents the combined volume of these cubes? F = G = H = 8 J = Page
5 The slope and -intercept of the line represented b = + are both divided b to 5 5 5 create a new line. Which graph represents the new line? A 0 9 8 7 6 5 0 9 8 7 6 5 5 6 7 8 9 0 5 6 7 8 9 0 C 0 9 8 7 6 5 0 9 8 7 6 5 5 6 7 8 9 0 5 6 7 8 9 0 B 0 9 8 7 6 5 0 9 8 7 6 5 5 6 7 8 9 0 5 6 7 8 9 0 D 0 9 8 7 6 5 0 9 8 7 6 5 5 6 7 8 9 0 5 6 7 8 9 0 Page
6 A bo has 80 prize tickets he wants to echange for action figures at a prize booth. At this prize booth 5 tickets can be echanged for a large action figure, and 7 tickets can be echanged for small action figures. The bo wants times as man small action figures as large action figures. Based on this information, can the bo get 80 small action figures? F No, because he would not have enough tickets for 0 large action figures G Yes, because he would still have enough tickets for 0 large action figures H No, because he would not have enough tickets for 0 large action figures J Yes, because he would still have enough tickets for 0 large action figures 7 Which epression is equivalent to c d 9 7 (c + ) + d (c + )? A cd c + d 7 B cd 7c C cd + c + d + 7 D cd + 8c + Page 5
8 What is the equation of the line that has a slope of 0 and passes through the point (6, 8)? F = 6 G = 6 H = 8 J = 8 9 A cand compan sells cases of chocolate bars. The compan has fied costs of $0,000, and each case of chocolate bars costs an additional $5 to make. The compan sells each case for $0. The graph of a sstem of linear equations representing this compan s costs and revenue for manufacturing and selling cases of chocolate bars is shown below. Sales of Chocolate Bars Dollars (in thousands) 50 0 0 0 0 = 0,000 + 5 = 0 Costs Revenue 0 0.5.5.5 Number of Cases (in thousands) How man cases of chocolate bars will this compan need to sell in order for costs and revenue to be equal? A,500 B 6,000 C 5,000 D 60,000 Page 6
z a z b 50 Which epression is equivalent to? z c (a b c) F z (a b + c) G z (a + b c) H z (a + b + c) J z Page 7
5 The scatterplot shows the relationship between the distance that students traveled to get to school and the number of times those students were tard during the school ear. Distance and Tardiness 0 Number of Times Tard 8 6 0 0.5.0.5.0.5 Distance Traveled (miles) The principal of the school wants to use this information to help him determine if there is a correlation between distance traveled and the number of times tard. Which statement is a reasonable conclusion that the principal could make? A A student who travels.5 miles to get to school will be tard 9 times during the school ear. B A student who travels more than miles to get to school will be tard at least 7 times during the school ear. C There is no correlation between the distance a student travels to get to school and the number of times the student will be tard during the school ear. D There is a nonlinear correlation between the distance a student travels to get to school and the number of times the student will be tard during the school ear. Page 8
5 A tennis plaer broke the old record for the most matches won in a tournament b at least matches. Which inequalit can be used to find all possible values of t, the number of matches the plaer won, in terms of r, the old record? F t r G t r r H t J t r + 5 The cost of staing at a hotel can be found using the function = 9 + 9.95, where is the number of das a guest stas at the hotel and is the cost in dollars. The cost includes a flat fee for Internet access. If the fee for Internet access is not included, which statement is true? A The cost is $9.95 less per da. B The cost is $9.95 less. C The cost is $9.95 more per da. D The cost is $9.95 more. Page 9
5 The table shows the population, p, of mice in a field at the end of m months. Mouse Population Time, m (months) 0 Population, p 6 8 96 Based on the data in the table, what will be the population of mice in the field at the end of 8 months? F 9 G,07 H,56 J 56 Page 0 BE SURE YOU HAVE RECORDED ALL OF YOUR ANSWERS ON THE ANSWER DOCUMENT. STOP
STAAR Algebra I Ma 0 TX866 5 A B C D E Printed in the USA DPSS/ISD79
STAAR Algebra I Answer Ke 0 Release Item Reporting Readiness or Content Student Correct Number Categor Supporting Epectation Answer Readiness A.5(C) C Readiness A.(D) G Supporting A.6(A) C Supporting A.(A) F 5 5 Supporting A.0(B) D 6 Supporting A.8(A) J 7 Readiness A.6(C) B 8 Readiness A.(A) H 9 Readiness A.(E) C 0 Readiness A.(B) F Readiness A.8(B) B Readiness A.6(F) J 5 Readiness A.0(A) B Readiness A.7(B) 5 Readiness A.(D) A 6 Supporting A.(A) G 7 Readiness A.6(B) D 8 5 Supporting A.(B) H 9 Supporting A.(B) A 0 Readiness A.8(B) 8 5 Readiness A.9(D) A Readiness A.5(C) J Supporting A.(B) C 5 Readiness A.0(A) G 5 Readiness A.(A) D 6 Readiness A.7(B) F 7 Supporting A5(B) A.5(B) 70 8 Readiness A.(D) G 9 Readiness A.6(C) C 0 Supporting A.(C) F Supporting A.7(C) D Supporting A.(A) G 5 Supporting A.9(C) C Supporting A.6(G).56 5 Readiness A.(E) D 6 Readiness A.6(F) H 7 Readiness A.7(B) C 8 Readiness A.6(B) F 9 Readiness A.(B) D 0 5 Readiness A.0(A) H Readiness A.5(C) D Readiness A.(A) 7 5 Readiness A.9(D) B Supporting A.(C) F 5 Readiness A.6(C) C 6 Supporting A.8(C) J 7 Supporting A.(B) A 8 Supporting A.6(D) J 9 Readiness A.8(B) B 50 5 Supporting A.(A) H 5 Readiness A.(D) C 5 Supporting A.7(A) J 5 Readiness A.6(F) B 5 Readiness A.(E) H