# Algebra I. Administered May 2013 RELEASED

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1 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.

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3 STAAR ALGEBRA I REFERENCE MATERIALS STAARTM 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 S = πr VOLUME Prism or clinder V = Bh Pramid or cone V = Bh Sphere V = πr 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. A dentist made the scatterplot below to show the number of cavities her patients had as it relates to the number of times the flossed their teeth each week. Cavities and Flossing 7 Number of Cavities Number of Times the Patient Flossed Each Week Which of the following best describes the correlation for the data? A Positive correlation B Nonlinear correlation C Negative correlation D No correlation What is the verte of the graph of the quadratic function f() = + + 0? F (, ) G (, ) H (, ) J (, ) Page 9

10 Which of the following graphs best represents a sstem of equations that has no solution? A C B D Page 0

11 A famil will travel 0 miles from their house in order to reach Dallas, TX. Which inequalit can be used to find all possible values of t, the time it will take this famil to reach Dallas in hours, if the travel at an average speed of at least r miles per hour? F t 0r r G t > 0 H t 0 r J t > 0r The graph below shows the relationship between the number of dollars a worker earns and the number of hours worked. Worker s Earnings Amount Earned (\$) Time Worked (h) What does the slope of the graph represent? A The number of hours of work it takes to earn \$0 B The amount of mone earned per hour C The amount earned for 0 hours of work D The number of hours worked per dollar earned Page

12 The perimeter of a rectangle is centimeters. The length of the rectangle can be represented b ( + ), and its width can be represented b ( 7). What are the dimensions of this rectangle in centimeters? F Length = 0 and width = G Length = 8 and width = H Length = and width = J Length = and width = 9 Page

13 7 A graph is shown below Which of the following equations are represented b the graph? I. = II. = III. = ( )( ) IV. = ( ) A II and IV B I and III C II and III D I and IV Page

14 8 Which table shows the same relationship as = +? F G 0 0 H J In which step below does a mistake first appear in simplifing the epression 0.( c + ) (c + ) + 0(c )? Step : c + (c + ) + 0(c ) Step : c + c + 0(c ) Step : c + c + 0c 0 Step : 7c A Step B Step C Step D Step Page

15 0 The value of varies directl with. Which function represents the relationship between 0 and if = when = 0? F = 00 G = 9 H = 0 J = 9 A table of values for the eponential function f is shown below. f() 0,000,80 7,80,87,07 Which situation could describe this function? A The value of a house increases b approimatel % per ear. B The value of a house increases b \$,80 per ear. C The value of a house decreases b approimatel % per ear. D The value of a house decreases b \$,80 per ear. Page

16 There are 9 books stacked on a shelf. The thickness of each book is either inch or inches. The height of the stack of 9 books is inches. Which sstem of equations can be used to determine, the number of -inch-thick books in the stack, and, the number of -inch-thick books? F + = + = 9 G + = + = 9 H + = 9 + = J + = 9 + = Page

17 Which graph shows a function with a domain of all real numbers greater than 7? A C B D Page 7

18 Students at a school will sell hats to raise mone. There are some hats left over from last ear, and 0 boes of hats will be ordered this ear. When the order arrives, the total number of hats the students will have can be determined using the function f() = 8 + 7, where represents the number of boes ordered. If the number of hats per bo changes so that the situation is modeled b the function h() = + 7, then how man fewer hats will the students have available to sell if the still order 0 boes? Record our answer and fill in the bubbles on our answer document. What is the solution set for the quadratic equation = 0? A {} B {, } C {} D {, } Page 8

19 A painter charges \$ per hour for labor plus \$0 for a ladder rental when he paints a house. The customer provides the paint. The total charge to paint a customer s house was \$90. How man hours did the painter spend painting this house? F h G 8 h H h J Not here Page 9

20 7 The slope and -intercept of the graph of f were changed to make the graph of g, as shown below f 7 g Which statement describes the changes that were made to the graph of f to make the graph of g? A The slope was multiplied b, and the -intercept was decreased b to make the graph of g. B The slope was multiplied b, and the -intercept was increased b to make the graph of g. C The slope was multiplied b, and the -intercept was decreased b to make the graph of g. D The slope was multiplied b, and the -intercept was increased b to make the graph of g. Page 0

21 8 The population of a town is currentl 9,000. The function p = 9, t can be used to estimate p, the population of the town t ears from now. Based on this function, which statement is true? F The population of the town is increasing at a constant rate. G The population of the town will reach 0,000 between and ears from now. H The population of the town will increase b people two ears from now. J The population of the town will increase and then decrease. 9 The graph of = is shown below If the coefficient of is changed from to another positive number to create a new function, how will the graph of the new function compare with the graph of the original function? A The -intercepts of the new graph will be the same as the -intercepts of the original graph. B The verte of the new graph will be different from the verte of the original graph. C The new graph will be wider or narrower than the original graph. D The new graph will open in the opposite direction as the original graph. Page

22 0 For the function w, w(9) = 7, and w( 7) = 9. If = w(), what is the value of when = 7? Record our answer and fill in the bubbles on our answer document. The late fee for overdue books at a librar is \$0. per da per book, with a maimum late fee of \$.00 per book. Which graph models the total late fee for books that were checked out on the same da and are overdue? Fees for Overdue Books Fees for Overdue Books A Late Fee (\$) C Late Fee (\$) Das Overdue Das Overdue Fees for Overdue Books Fees for Overdue Books B Late Fee (\$) D Late Fee (\$) Das Overdue Das Overdue Page

23 Which inequalit is equivalent to 7 > 8? 7 F > G > H < J < 7 7 The sophomore class needs a combined total of medium and large T-shirts for field da. The number of medium T-shirts needed is three times the number of large T-shirts needed. Based on this information, would it be reasonable for the sophomore class to order 7 large T-shirts and medium T-shirts? A No, because the number of medium T-shirts is not times the number of large T-shirts B No, because the number of large T-shirts is not times the number of medium T-shirts C Yes, because the total number of T-shirts is D Yes, because the number of large T-shirts is of the total number of T-shirts Page

24 An airplane s altitude in feet during its descent for landing can be found using the function f() = ,000, where represents the horizontal distance in miles from where the plane begins its descent. After new government regulations become law, the airplane s descent will be modeled b the function g() = ,00. Which statement describes this change? F The airplane starts its descent from an altitude 00 feet higher. G The airplane starts its descent from an altitude 00 feet lower. H The airplane descends 00 feet per horizontal mile faster. J The airplane descends 00 feet per horizontal mile slower. The graph of the quadratic function h passes through the points (, ), (, ), (, ), and (7, ). Which of the following shows the same relationship as h? A h C h() 7 h() 7 B h( ) = + + D Page

25 What is the value of in the solution to the sstem of equations below? + = = F G 8 H J 7 7 What is the zero of the linear function graphed below? (0, ) (, ) Record our answer and fill in the bubbles on our answer document. Page

26 8 The function = + is graphed below What are the values of when + =? F = and = G = and = H = and = J = and = Page

27 9 A store manager begins each shift with the same total amount of mone. She keeps \$00 in a safe and distributes the rest equall to the cashiers in the store. This situation can be represented b the function = situation? ( 00). What does the variable represent in this A The total amount of mone the manager has at the beginning of a shift B The total amount of mone the manager has at the end of a shift C The amount of mone each cashier has at the beginning of a shift D The amount of mone each cashier has at the end of a shift 0 What is the equation in standard form of the line that passes through the point (, ) and has a slope of 0.? F + = G + = 77 H + = J + = Page 7

28 Which coordinate pair is in the solution set for <? A (, 0) B (, ) C (0, ) D (, ) Page 8

29 Which graph does not represent as a function of? F H G J The graph of line p represents =. If the slope of line p is multiplied b 0 to create line r, which statement about the graphs of the two lines is true? A Line r intersects line p. B Line r is parallel to line p. C Line r is 0 units above line p. D Line r is 0 units below line p. Page 9

30 A table of values for the quadratic function f is shown below f() If is one solution to f() = 0, what is the value of the other solution? Record our answer and fill in the bubbles on our answer document. A print shop charges a fied amount per photocop and gives a 0% discount off the total cost of the photocopies. The total cost is a function of the number of photocopies made. What is the independent quantit in this situation? A The total cost of the photocopies B The price per photocop C The amount of the discount D The total number of photocopies made Page 0

31 The set of ordered pairs below represents some points on the graph of function f. {(, ), (, ), (, ), (, ), ( 7, 9)} What is the parent function of f? F = G = H = J = 7 The average annual rainfall for a particular cit is. inches. In the first 0 weeks of this ear, the cit received a total of 9.7 inches of rain. If it is epected to rain between. and. inches per week through the end of the ear, what is a reasonable number of additional weeks needed for this cit to reach its average annual rainfall? A weeks B weeks C 9 weeks D weeks Page

32 8 A teacher collected data on 0 students for two different quizzes. The scatterplot below shows the relationship between the number of points scored on Quiz and the number of points scored on Quiz. Quiz Scores 00 Points Scored on Quiz Points Scored on Quiz Which statement describes the data? F The number of points scored on Quiz was less than the number of points scored on Quiz for an student who scored at least 0 points on Quiz. G The number of points scored on Quiz was greater than the number of points scored on Quiz for an student who scored 0 or fewer points on Quiz. H The number of points scored on Quiz was greater than the number of points scored on Quiz for an student who scored at least 0 points on Quiz. J The number of points scored on Quiz was less than the number of points scored on Quiz for an student who scored 0 or fewer points on Quiz. Page

33 9 The number of ferrboat trips, f (c), needed to transport c cars in da can be found using c the function f(c) =. If there are no more than,000 cars transported b ferrboat dail, 0 what is the range of the function for this situation? A The set of all integers greater than or equal to,000 B The set of all integers from 0 to,000 C The set of all integers greater than or equal to 0 D The set of all integers from 0 to 0 0 A high school band held a bake sale. The number of cupcakes sold was four more than twice the number of cookies sold. The band sold a total of cupcakes and cookies. How man cupcakes were sold? F 8 G H J Page

34 Two points on the graph of a quadratic function are shown on the grid below What is the equation for the ais of smmetr of the graph of this function? A = B = C = D = Page

35 The dishwasher at a restaurant is loaded with the same number of dishes ever time it is used. The table below shows the total number of dishes washed as a function of the number of times the dishwasher is used. Restaurant Dishwasher Number of Times Used 8 Total Number of Dishes Washed 0 08 Based on the data in the table, what is the total number of dishes that will have been washed when the dishwasher is used 9 times? Record our answer and fill in the bubbles on our answer document. The first si numbers in a pattern are shown below.,,,,,,... If the pattern continues, which epression can be used to find the nth number in the pattern? n A n B n C n D Page

36 The graph below shows the water level in a tank being drained at a constant rate. Tank Water Level Height (in.) 0 8 (, 0) (, ) 0 7 Time (h) If the rate at which the tank is drained is changed to inches per hour and the initial water level stas the same, how would the time it takes to empt the tank be affected? F It would take fewer hours. G It would take. more hours. H It would take fewer hours. J It would take more hours. An architect is designing an office building with n floors that will have an FM radio antenna.8 m tall on its roof. Each floor of the building will be.9 m high. Which function can be used to find the total height of the building in meters, including the FM antenna? A h(n) =.8n +.9 B h(n) =.9n +.8 C h(n) =.9n.8 D h(n) = 9.7n Page

37 What are the -intercepts of the graph of the quadratic function f() = +? F and G and H 0 and J and 7 A weightlifter is adding plates of equal weight to a bar. The table below shows the total weight, including the bar, that he will lift depending on the total number of plates on the bar. Number of Plates 8 Total Weight (lb) 8 Based on this information, which statement is true? A The bar weighs lb without an plates. B The bar weighs 70 lb without an plates. C The bar weighs lb without an plates. D The bar weighs lb without an plates. Page 7

38 8 What is the range of the function shown below? f() F { 7,, 0, } G { 9,, } H { 9, 7,,,, 0, } J { } 9 Which set of ordered pairs contains onl points that are on the graph of the function =? A {(, 7), (0, 0), (, )} B {( 8, 0), (, ), (8, )} C {(, 7), (, ), (8, )} D {( 7, 9), (, 0), (, 8)} Page 8

39 0 Which inequalit can be represented b the graph below? (0, b) F + b G b H + b J + b z Which epression is equivalent to? z A 9 8 z 0 B 8 z 0 C 9 z D z Page 9

40 If =, what is the value of when = 9? F G H J Which epression is equivalent to? A ( + 7)( ) B ( + )( ) C ( 7)( + ) D ( )( + ) Page 0

41 If the graph of = 9 + is translated units up, which equation describes the new graph? F = G = + H = + 8 J = + Page BE SURE YOU HAVE RECORDED ALL OF YOUR ANSWERS ON THE ANSWER DOCUMENT. STOP

42 STAAR Algebra I Ma 0 TX9 A B C D E Printed in the USA DPSS/ISD9

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