Algebra I. Administered May 2017 RELEASED

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1 STAAR State of Teas Assessments of Academic Readiness 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 FACTORING Perfect square trinomials Difference of squares PROPERTIES OF EXPONENTS Product of powers Quotient of powers Power of a power Rational eponent Negative eponent LINEAR EQUATIONS Standard form Slope-intercept form Point-slope form Slope of a line QUADRATIC EQUATIONS Standard form Verte form Quadratic formula Ais of smmetr m a (m n) n a m n n a = a n a = = = a n a b b = a m m = STAAR State of Teas Assessments of Academic Readiness a + ab + b = (a + b) a ab + b = (a b) a b = (a b)( a + b) m n (m + n) a a = a m n ( a ) = a mn A + B = C = m + b = m ( ) f( ) = a + b + c f( ) = a ( h ) + k b ac a

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8 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 epression is equivalent to? A B C D 9 A drummer and a guitarist each wrote songs for their band. The guitarist wrote 8 fewer than twice the number of songs that the drummer wrote. The wrote a total of songs. Which sstem of equations models this situation if the drummer wrote d songs and the guitarist wrote g songs? F G H g = d 8 g + d = g = 8 d g = d d = g 8 d = g J d = 8 g d + g = Page 8

9 Which graph best represents the solution set of? A C B D The graph of f( ) = was transformed to create the graph of g( ) = (.). Which of these describes this transformation? F G H J A horizontal shift to the right. units A horizontal shift to the left. units A vertical shift down. units A vertical shift up. units Page 9

10 A set of weights includes alb barbell and pairs of weight plates. Each pair of plates weighs 0 lb. If pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented b f( ) = 0 +. What is the range of the function for this situation? A ^0,,,,,, ` B C D ^,,,, 8, 0, ` ^0,,, ` ^,, 8, ` The area of a rectangle is 9 8 square ards. If the length of the rectangle is ards, which epression represents the width of the rectangle in ards? F 9 G 8 H 9 J 0 The total number of seats in an auditorium is modeled b f( ) =, where represents the number of rows of seats. How man rows are there in the auditorium if it has a total of seats? A B C D 0 Page 0

11 8 The graph of an eponential function is shown on the grid. q r s t 8 8 Which dashed line is an asmptote for the graph? F G H J Line q Line r Line s Line t 9 Which situation best represents causation? A B C D When the number of bus stops increases, the number of car sales decreases. When fewer firefighters report to a house fire, the damage caused b the fire decreases. When ice cream sales increase, incidents of sunburn increase. When it rains several inches, the water level of a lake increases. Page

12 0 The graph of a quadratic function is shown on the grid Which function is best represented b this graph? F f( ) = + G f( ) = + H f( ) = J f( ) = + + What is the solution to 8 ( ) = ( )? A B C 0 D No solution Page

13 A lifeguard earns $0 per week for working 0 hours plus $ per hour worked over 0 hours. A lifeguard can work a maimum of 0 hours per week. Which graph best represents the lifeguard s weekl earnings in dollars for working h hours over 0? Weekl Earnings w Weekl Earnings w F Amount Earned (dollars) h H Amount Earned (dollars) h Number of Hours Worked over 0 Number of Hours Worked over 0 Weekl Earnings w Weekl Earnings w G Amount Earned (dollars) h J Amount Earned (dollars) h Number of Hours Worked over 0 Number of Hours Worked over 0 Page

14 A shoe compan is going to close one of its two stores and combine all the inventor from both stores. These polnomials represent the inventor in each store: A g g + Store A: g + Store B: g g + Which epression represents the combined inventor of the two stores? B g g + C g + g + D g + g + Page

15 The graph of quadratic function f is shown on the grid. (, ) (, ) (, ) What is the -intercept of the graph of f? Record our answer and fill in the bubbles on our answer document. A particular tpe of cell doubles in number ever hour. Which function can be used to find the number of cells present at the end of h hours if there are initiall of these cells? A n = ¹ h B n = () h C n = + ( ) h D n = + ¹ h Page

16 What is the slope of the line represented b =? F G H J Which epression is equivalent to + +? A ( + )( ) B ( )( + ) C ( + )( + ) D ( )( ) Page

17 8 A bus travels two different routes: the Green Route and the Blue Route. The routes are different lengths. On Monda the bus traveled the Green Route times and the Blue Route times, traveling a total of miles. On Tuesda the bus traveled the Green Route times and the Blue Route times, traveling a total of 9 miles. What is the length of the Green Route in miles? F G H J. mi. mi. mi.8 mi 9 The table shows the heights and the lengths of several rectangles. Height (in.) Length (in.) 0 What does the correlation coefficient for the data indicate about the strength of the linear association between the height and the length of these rectangles? A B C D Weak negative correlation Strong negative correlation Weak positive correlation Strong positive correlation Page

18 0 The epression ( )( ) is equivalent to n. What is the value of n? Record our answer and fill in the bubbles on our answer document. The population of Center Cit is modeled b eponential function f, where is the number of ears after the ear 0. The graph of f is shown on the grid. Center Cit 900, ,000 00,000 Population 00,000 00,000 00,000 00,000 00,000 00, Time After 0 (ears) Which inequalit best represents the range of f in this situation? A 0 B 0,000 C 0 0 D 0,000,000,000 Page 8

19 A sequence can be generated b using a = a, where a = n (n ) greater than. What are the first four terms in the sequence? and n is a whole number F G H J,, 9, 8, 0,, 8, 0, 00, 00, 0,, 00 What is the equation in slope-intercept form of the line that passes through the points (, ) and (, )? 99 A = + 99 B = + C = + D = + Page 9

20 The graph of f( ) = is transformed to create the graph of h ( ) = f ( ). Which graph best represents f and h? F h f H f h G f h J h f A student is ordering a flower arrangement. She can choose an combination of roses and carnations for her flower arrangement, and she does not want to spend more than $0. If roses cost $ each and carnations cost $ each, which inequalit represents all possible combinations of roses and carnations? A + < 0 B + 0 C + > 0 D + 0 Page 0

21 The graph models the linear relationship between the temperature of Earth s atmosphere and the altitude above sea level. Earth s Atmosphere Temperature ( C) Altitude (km) Which of these best represents the rate of change of the temperature with respect to altitude? F. C/km G. C/km H 0.9 C/km J 0. C/km The value of is directl proportional to the value of. If = when = 0, what is the value of when = 0? Record our answer and fill in the bubbles on our answer document. Page

22 8 Which epression is equivalent to m m 0? F (m )(m + ) G (m 0)(m ) H (m + )(m ) J (m + 0)(m + ) 9 The line graphed on the grid represents the first of two equations in a sstem of linear equations If the graph of the second equation in the sstem passes through the points (, 0) and (, ), which statement is true? A The onl solution to the sstem is (0, ). B The onl solution to the sstem is (0, ). C D The sstem has no solution. The sstem has an infinite number of solutions. Page

23 0 What is the domain of f( ) = 9? F f( ) 9 G All real numbers H J 9 A student used f( ) =.00(.0) to show how the balance in a savings account will increase over time. What does the.00 represent? A B C D The interest the savings account earned for the first ear The annual interest rate of the savings account The number of ears the savings account has earned interest The starting balance of the savings account Page

24 The graph of a function is shown on the grid Which ordered pair best represents the location of the -intercept? F (,0) G (0, ) H (0, ) J (, 0) Page

25 Researchers in Antarctica discovered a warm sea current under a glacier that is causing the glacier to melt. The ice shelf of the glacier had a thickness of approimatel 0 m when it was first discovered. The thickness of the ice shelf is decreasing at an average rate of 0.0 m per da. Which function can be used to find the thickness of the ice shelf in meters das since the discover? A t ( ) = B t ( ) = 0.0( + 0) C t ( ) = D t ( ) = 0.0( + 0) What is the positive solution to the equation 0 =? Record our answer and fill in the bubbles on our answer document. The amount of fertilizer in a landscaping compan s warehouse decreases at a rate of % per week. The amount of fertilizer in the warehouse was originall 8,000 cubic ards. Which function models the amount of fertilizer in cubic ards left after w weeks? A f( w) = 0.9(8,000) w B f( w) =.0(8,000) w C f( w) = 8,000(0.9) w D f( w) = 8,000(.0) w Page

26 What is the equation of the line that passes through the point (, ) and has a slope of zero? F = G = H = J = Which ordered pair is in the solution set of +? A (, ) B (, ) C (, ) D (, ) Page

27 8 Which table does NOT show as a function of? F G H J Page

28 9 A projectile is launched into the air from the ground. The table shows the height of the projectile, h(), t at different times. Projectile Height Time (seconds) Height (meters), 0,0, 0,90, 0,0, Based on the table, which function can best be used to model this situation? A B C ht ( ) = 99t + 88 ht ( ) =.9t + 9t + 0. ht ( ) =.9t + 9t + D ht ( ) = 99t +,0. 0 Which value of makes the equation 0.( + 0) = + 0.( ) true? F G H J Page 8

29 Which epression is a factor of 8 +? A B 9 C D The graph of linear function g is shown on the grid ( 8, ) (,.) What is the zero of g? Record our answer and fill in the bubbles on our answer document. Page 9

30 Which quadratic function in verte form can be represented b the graph that has a verte at (, ) and passes through the point (, 0)? A B = ( + ) + = ( + ) C = ( ) + D = ( ) The graph of part of linear function g is shown on the grid Which inequalit best represents the domain of the part shown? F 9 < G 9 < H < g( ) J g( ) < Page 0

31 A student graphed f( ) = and g( ) = f( ) + on the same coordinate grid. Which statement describes how the graphs of f and g are related? A B C D The graph of f is shifted units up to create the graph of g. The graph of f is steeper than the graph of g. The graph of f is shifted units down to create the graph of g. The graph of f is less steep than the graph of g. The graph of a quadratic function is shown on the grid. Which equation best represents the ais of smmetr? F = G = H = J = 0 Page

32 If p( ) = ( + ) +, what is the value of p()? A 90 B C D 8 The graphs of lines k and k are shown on the grid. k k Which sstem of equations is best represented b this graph? F = + 9 = G = + 9 = H = = 9 J + = = Page

33 9 Which statement about the graph of = is true? ¹ A B C D The graph has a vertical asmptote. The graph crosses the -ais at (0, ). 9 The graph has an asmptote at =. The graph decreases from left to right. 0 The table represents some points on the graph of a linear function Which equation represents the same relationship? F + 8 = ( + 0) G + 0 = ( + 8) H + 8 = ( + 0) J + 0 = ( + 8) Page

34 Which epression is equivalent to ( ) ( 8 )? A 0 B 9 0 C D 9 The function =. +.( ) can be used to determine the cost in dollars for a tai ride of miles. What is the rate of change of the cost in dollars with respect to the number of miles? F G H J $.0 per mile $. per mile $. per mile $. per mile Page

35 Which graph best represents a function with a range of all real numbers greater than or equal to? A C B D Page

36 What is the value of in the solution to this sstem of equations? + = = + F G H 0 J Page BE SURE YOU HAVE RECORDED ALL OF YOUR ANSWERS ON THE ANSWER DOCUMENT. STOP

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