Introduction - Algebra II

Transcription

1 LIFORNI STNRS TEST lgebra II Introduction - lgebra II The following released test questions are taken from the lgebra II Standards Test. This test is one of the alifornia Standards Tests administered as part of the Standardized Testing and Reporting (STR) Program under policies set by the State oard of Education. ll questions on the alifornia Standards Tests are evaluated by committees of content experts, including teachers and administrators, to ensure their appropriateness for measuring the alifornia academic content standards in lgebra II. In addition to content, all items are reviewed and approved to ensure their adherence to the principles of fairness and to ensure no bias exists with respect to characteristics such as gender, ethnicity, and language. This document contains released test questions from the alifornia Standards Test forms in 00, 00, 00, 006, 007, and 008. First on the pages that follow are lists of the standards assessed on the lgebra II Test. Next are released test questions. Following the questions is a table that gives the correct answer for each question, the content standard that each question is measuring, and the year each question last appeared on the test. The following table lists each reporting cluster, the number of items that appear on the exam, and the number of released test questions that appear in this document. Some of the released test questions for lgebra II are the same test questions found in different combinations on the Integrated Mathematics and alifornia Standards Tests and the Summative High School Mathematics alifornia Standards Test. NUMER OF NUMER OF REPORTING QUESTIONS ON RELESE TEST LUSTER EXM QUESTIONS Polynomials and Rational Expressions 9 8 Quadratics, onics, and omplex Numbers 7 Exponents and Logarithms Series, ombinatorics, and Probability and Statistics 0 TOTL 6 96 In selecting test questions for release, three criteria are used: () the questions adequately cover a selection of the academic content standards assessed on the lgebra II Test; () the questions demonstrate a range of difficulty; and () the questions present a variety of ways standards can be assessed. These released test questions do not reflect all of the ways the standards may be assessed. Released test questions will not appear on future tests. For more information about the alifornia Standards Tests, visit the alifornia epartment of Education s Web site at This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 009 alifornia epartment of Education.

2 LIFORNI STNRS TEST lgebra II THE POLYNOMILS N RTIONL EXPRESSIONS REPORTING LUSTER The following five alifornia content standards are included in the Polynomials and Rational Expressions reporting cluster and are represented in this booklet by 8 test questions. These questions represent only some ways in which these standards may be assessed on the lgebra II alifornia Mathematics Standards Test. LIFORNI ONTENT STNRS IN THIS REPORTING LUSTER lgebra II.0* Students solve equations and inequalities involving absolute value..0* Students solve systems of linear equations and inequalities (in two or three variables) by substitution, with graphs, or with matrices..0* Students are adept at operations on polynomials, including long division..0* Students factor polynomials representing the difference of squares, perfect square trinomials, and the sum and difference of two cubes. 7.0* Students add, subtract, multiply, divide, reduce, and evaluate rational expressions with monomial and polynomial denominators and simplify complicated rational expressions, including those with negative exponents in the denominator. * enotes key standards This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 009 alifornia epartment of Education.

3 LIFORNI STNRS TEST lgebra II THE QURTIS, ONIS, N OMPLEX NUMERS REPORTING LUSTER The following seven alifornia content standards are included in the Quadratics, onics, and omplex Numbers reporting cluster and are represented in this booklet by test questions. These questions represent only some ways in which these standards may be assessed on the lgebra II alifornia Mathematics Standards Test. LIFORNI ONTENT STNRS IN THIS REPORTING LUSTER lgebra II.0* Students demonstrate knowledge of how real and complex numbers are related both arithmetically and graphically. In particular, they can plot complex numbers as points in the plane. 6.0* Students add, subtract, multiply, and divide complex numbers. 8.0* Students solve and graph quadratic equations by factoring, completing the square, or using the quadratic formula. Students apply these techniques in solving word problems. They also solve quadratic equations in the complex number system. 9.0* Students demonstrate and explain the effect that changing a coefficient has on the graph of quadratic functions; that is, students can determine how the graph of a parabola changes as a, b, and c vary in the equation y = a(x b) + c. 0.0* Students graph quadratic functions and determine the maxima, minima, and zeros of the function. 6.0 Students demonstrate and explain how the geometry of the graph of a conic section (e.g., asymptotes, foci, eccentricity) depends on the coefficients of the quadratic equation representing it. 7.0 Given a quadratic equation of the form ax + by + cx + dy + e = 0, students can use the method for completing the square to put the equation into standard form and can recognize whether the graph of the equation is a circle, ellipse, parabola, or hyperbola. Students can then graph the equation. * enotes key standards This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 009 alifornia epartment of Education.

4 LIFORNI STNRS TEST lgebra II THE EXPONENTS N LOGRITHMS REPORTING LUSTER The following six alifornia content standards are included in the Exponents and Logarithms reporting cluster and are represented in this booklet by test questions. These questions represent only some ways in which these standards may be assessed on the lgebra II alifornia Mathematics Standards Test. LIFORNI ONTENT STNRS IN THIS REPORTING LUSTER lgebra II Standard Set.0* Students prove simple laws of logarithms..* Students understand the inverse relationship between exponents and logarithms, and use this relationship to solve problems involving logarithms and exponents..* Students judge the validity of an argument according to whether the properties of real numbers, exponents, and logarithms have been applied correctly at each step..0* Students know the laws of fractional exponents, understand exponential functions, and use these functions in problems involving exponential growth and decay..0 Students use the definition of logarithms to translate between logarithms in any base..0 Students understand and use the properties of logarithms to simplify logarithmic numeric expressions and to identify their approximate values..0* Students determine whether a specific algebraic statement involving rational expressions, radical expressions, or logarithmic or exponential functions is sometimes true, always true, or never true. * enotes key standards This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 009 alifornia epartment of Education.

5 LIFORNI STNRS TEST lgebra II THE SERIES, OMINTORIS, N PROILITY N STTISTIS REPORTING LUSTER The following 0 alifornia content standards are included in the Series, ombinatorics, and Probability and Statistics reporting cluster and are represented in this booklet by 0 test questions. These questions represent only some ways in which these standards may be assessed on the lgebra II alifornia Mathematics Standards Test. LIFORNI ONTENT STNRS IN THIS REPORTING LUSTER lgebra II 8.0* Students use fundamental counting principles to compute combinations and permutations. 9.0* Students use combinations and permutations to compute probabilities. 0.0* Students know the binomial theorem and use it to expand binomial expressions that are raised to positive integer powers..0 Students apply the method of mathematical induction to prove general statements about the positive integers..0 Students find the general term and the sums of arithmetic series and of both finite and infinite geometric series..0 Students solve problems involving functional concepts, such as composition, defining the inverse function and performing arithmetic operations on functions..0 Students use properties from number systems to justify steps in combining and simplifying functions. Probability and Statistics PS.0 PS.0 PS7.0 Students know the definition of the notion of independent events and can use the rules for addition, multiplication, and complementation to solve for probabilities of particular events in finite sample spaces. Students know the definition of conditional probability and use it to solve for probabilities in finite sample spaces. Students compute the variance and the standard deviation of a distribution of data. * enotes key standards This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 009 alifornia epartment of Education.

6 LIFORNI STNRS TEST lgebra II What is the complete solution to the equation 6x =? What is the solution to the system of equations shown below? x= ; x= x= ; x= x= ; x= x= ; x= ST0007 ( 0,, ) x y+ z=8 x 6y z= 0 6x + y 9z= What are the possible values of x in x =? 0,, no solution x=. 0or x= 0.. 0< x < 0. infinitely many solutions. > x >. x=. 0or x= 0. ST000 For a wedding, Shereda bought several dozen roses and several dozen carnations. The roses cost $ per dozen, and the carnations cost $8 per dozen. Shereda bought a total of 7 dozen flowers and paid a total of $9. How many roses did she buy? 6 dozen 7 dozen restaurant manager bought 0 packages of bagels. Some packages contained 6 bagels each, and the rest contained bagels each. There were 68 bagels in all. How many packages of bagels did the manager buy? ST008 8 dozen ST009 9 dozen ST This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 009 alifornia epartment of Education.

7 LIFORNI STNRS TEST lgebra II 6 What system of inequalities best represents the graph shown below? 8 Which system of linear inequalities is represented by this graph? y y y> and y>x+ y> and y<x+ x y< and y>x+ y< and y<x+ ST0000 y x+ y x 7 Which point lies in the solution set for the y x 6 system? y x< 6 y x+ y x x y x+ y (, ) (, ) ( 0, ) (, ) x+ y x y ST0079 ST009 7 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 009 alifornia epartment of Education.

8 LIFORNI STNRS TEST lgebra II 9 What is the solution to the following system of equations? ( x + 6 x +) (x x +)= (, ) (, ) (, ) (, ) x y = x + y = 6 ST0078 6x 0x 6x +x 0x +x Which expression is equivalent to (6 y )( 6 y + )? ST00 0 x + 7 ) x + x + x 7x +6 x + 7x 7x + 6 x + 7 6y 6y 6y +y +y x +x x + x + 7 6y +y y ST0008 x 7x + 7x 6+ x + 7 x + 7x 7x + 6+ x + 7 What is the volume of the figure below? ST0009 Which polynomial represents (x + x )(x )? 6x x x 0 x + x + 6 x + 6x x x +0 6x +x + x 0 6x +x + x + 0 x +0x + x+ x +x + x+ ST00 x +0x + x+ x +x + x+ ST08 8 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 009 alifornia epartment of Education.

9 LIFORNI STNRS TEST lgebra II What is ( x x)(x + x + x x 8 x x x +6 x x 8)? x +x 6 x x + 6x x 6 x 6x + x ST09 9 Which expression shows the complete factorization of x 7? (x 7)(x + ) (x )(x + 7) ( x 7 )( x + 7) ( x 7)( x + 7 ) ST07 6 8a + c = ( a+ c)( a+ c)( a+ c) ( a c)( a +ac+ c ) ( a c)( a +ac+ c ) ( a+ c)( a ac+ c ) 0 x 0xy + 6 y = (x y ) (x +0 y) ( x y ) ( xy) ST008 ST The total area of a rectangle is x 9 y. Which factors could represent the length times width? (x y)(x + y) (x + y)( x + y) (x y)(x y) ( x + y)( x y ) ST008 x = x + x + x 0 x + x x + x 0 7x 9 x + x 0 x + x + x + x 0 8 Which product of factors is equivalent to (x + ) y? x + x + x + x 0 ST009 (x + + y) (x + y) (x + y)( x y) (x + + y)( x + y) ST000 9 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 009 alifornia epartment of Education.

10 LIFORNI STNRS TEST lgebra II c a b Which is a simplified form of? (a b c ) x + x x 9 i = x + x + x a bc ab c x bc x + ab c x + x ST0067 ST00 0x 8x What is? 7 y y y 8x 8xy 7 y 8x 6 What is the simplest form of x y+ 0 x y + 0 xy? xy ( x + ) (x + y) x + y x + y ST009 8xy 7 ST0 x 0 x x i = x + 8 x + 6 x x 6 Which product is equivalent to? x (x ) (x + ) (x ) (x + ) ST00 8 x ( x + )( x ) x + ( x + )( x + ) 8 x ( x + )( x + ) x + x + 0 ST007 0 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 009 alifornia epartment of Education.

11 LIFORNI STNRS TEST lgebra II 8 x y xy ( x + y ) x y = xy 0 (x+ y) x y (x y) ( x+ y ) xy 0 If i = i i, what is the value of i? ST008 Which of the following complex numbers is represented by the point on the graph below? ST008 9 If i =, which point shows the location of i on the plane? Imaginary Real Imaginary i i i + i Real ST0 point point point point ST000 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 009 alifornia epartment of Education.

12 LIFORNI STNRS TEST lgebra II If i =, then i( 6i) = 8 8 What is an equivalent form of? + i i ST00 If i = and a and b are non-zero real numbers, what is? a+ bi a+ bi a + b a bi a + b a+ bi a b a bi a b i i i ST000 What is the product of the complex numbers ( + i) and ( i)? i 0 6i ST008 6 Which expression represents ( i) ( +i)? 8 i 8 i i i 7 What is the sum of the complex numbers ( i) and ( + i)? 9 i 9i 6+ 6i 9 9i ST07 ST006 ST00 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 009 alifornia epartment of Education.

13 LIFORNI STNRS TEST lgebra II 8 What are the solutions to the equation x + x + = 0? x =0; x = x = 0; x= i x = + i; x = i x = + ; x = ST00 0 There are two numbers with the following properties. ) The second number is more than the first number. ) The product of the two numbers is 9 more than their sum. Which of the following represents possible values of these two numbers? 9 What are the solutions to the equation + =? x x x = + ; x = 6,,,,6 ST009 x = + ; x = x = + ; x = Jenny is solving the equation x 8x = 9 by completing the square. What number should be added to both sides of the equation to complete the square? x = + ; x = ST ST0008 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 009 alifornia epartment of Education.

14 LIFORNI STNRS TEST lgebra II Two consecutive positive integers have the property that one integer times twice the other equals 6. What is the sum of these two integers? 7 9 What are the solutions to the equation x 6x + = 8? and i and i + i and i + i and i Which of the following most accurately describes the translation of the graph y = ( x + ) to the graph of y = ( x ) +? up and to the right down and to the right down and to the left up and to the left ST0006 ST0 Which of the following sentences is true about the graphs of y = ( x ) + and y = ( x + ) +? Their vertices are maximums. The graphs have the same shape with different vertices. The graphs have different shapes with different vertices. One graph has a vertex that is a maximum, while the other graph has a vertex that is a minimum. 6 What are the x-intercepts of the graph of y = x x? and 6 and 6 and ST09 and ST0097 ST007 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 009 alifornia epartment of Education.

15 LIFORNI STNRS TEST lgebra II 7 Which is the graph of y = ( x ) +? y y x x y y x x ST09 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 009 alifornia epartment of Education.

16 LIFORNI STNRS TEST lgebra II 8 Which ordered pair is the vertex of f( x) = x + 6 x +? (, ) (, ) (, 0) (, 0 ) 0 Which of the following represents a parabola? x + y = r y x + = a b px = y y x = a b ST006 ST008 x 9 The graph of y = is a hyperbola. Which set of equations represents the asymptotes of the hyperbola s graph? y = x, y = x y = x, y = x y = x, y = x y = x, y = x x y 6x 0 y 9 = 0 What is the standard form of the equation of the conic given above? (x ) (y ) = (y + ) (x ) = (y ) (x + ) = 6 9 (x ) (y ) + = ST006 ST00 6 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 009 alifornia epartment of Education.

17 LIFORNI STNRS TEST Which statement describes the graph of the equation x + y + x 6 y = 0? a hyperbola with center (, ) and vertices (, ) and (, ) a hyperbola with center (, ) and vertices (, ) and (, ) a circle with center (, ) and radius 8 a circle with center (, ) and radius ST07 What is the solution to the equation x = 7? x = x = log 0 x = log log 0 lgebra II Which equation is equivalent to log = x? 9 = x 9 = x 9 x = 9 9 = x ST0 6 If log x y =, which of the following is true? y = x y = x x = y x = y ST006 log 7 x = 0 log 0 ST00 7 Which is the first incorrect step in simplifying log? 6 If log 0 x =, what is the value of x? x = 0 x = 0 x = 00 Step : log = log log 6 6 Step : = 6 Step : = Step Step Step Each step is correct. x =00 ST007 ST0 7 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 009 alifornia epartment of Education.

18 LIFORNI STNRS TEST lgebra II 8 Jeremy, Michael, Shanan, and renda each worked the same math problem at the chalkboard. Each student s work is shown below. Their teacher said that while two of them had the correct answer, only one of them had arrived at the correct conclusion using correct steps. Jeremy s work Shanan s work 7 x 7 x x x = x x = x 7 x7 = x 0, x 0 = x, x 0 Michael s work renda s work 7 x 7 x x x = x x = x 7 x7 = x, x 0 = x, x 0 Which is a completely correct solution? Jeremy s work Michael s work Shanan s work renda s work ST00 9 student showed the following steps in his solution of the equation below, but his answer was not correct. log (x x + ) log ( x ) + log =6 Step : log (x )( x ) log ( x ) + = 6 Step : log (x )( x ) log ( x )= Step : log ( x ) = Step : x = Step : x = 6 In which step did he make his first error? Step Step Step Step ST06 60 Which is the first incorrect step in simplifying ( x ) ( x )? Step : ( x ) ( x ) Step : = x 6 x = x 6 x Step : Ste p : x 6 = x = x Step Step Step Step ST009 8 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 009 alifornia epartment of Education.

19 LIFORNI STNRS TEST 6 certain radioactive element decays over time according to the equation y = 00, where = the number of grams present initially and t = time in years. If 000 grams were present initially, how many grams will remain after 900 years? 00 grams 0 grams grams 6. grams t ST acteria in a culture are growing exponentially with time, as shown in the table below. acteria Growth lgebra II 6 If the equation y = x is graphed, which of the following values of x would produce a point closest to the x-axis? 8 ST0 6 Which table below correctly describes points of the exponential function f( x)= x? x 0 f(x) 8 6 ay acteria Which of the following equations expresses the number of bacteria, y, present at any time, t? y = 00 + t y =( 00) i ( ) t y = t t y =( 00) i () ST0 x 0 f(x) x 0 8 f(x) 9 x 0 f(x) 7 ST096 9 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 009 alifornia epartment of Education.

20 LIFORNI STNRS TEST lgebra II 6 In 997 the population of a small town was 700. If the annual rate of increase is about 0.8%, which value below expresses the population five years later? ( 700 )(0.008) (700)(.008) ( 700)( ) (700)(. 008 ) 66 log 6 0 = log log 0 0 log 0 6 log 0 0 (log 0 6 )(log 0 0 ) log 0 0 log 0 6 ST06 ST Jonathan wrote the equation log 6 (x )= 0 on the board. He needs one clue for problem solving. Which fact provides the correct information that he needs to solve the equation? 6 0 = 6 = 6 =0 6 = ST08 68 What is the value of log 7? 6 9 ST If log 0.0 and log 0.77, what is the approximate value of log 7? ST06 70 Which of the following is a simplified form of the expression log + log log? log 0 log 0 log 7 log 7 ST006 7 If x is a real number, for what values of x is the x 9 equation = x true? all values of x some values of x no values of x impossible to determine ST000 0 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 009 alifornia epartment of Education.

21 LIFORNI STNRS TEST 7 On a recent test, Jeremy wrote the equation x 6 = x +. Which of the following x statements is correct about the equation he wrote? The equation is always true. The equation is always true, except when x =. The equation is never true. The equation is sometimes true when x =. 7 Given the equation y = x n where x >0 and n <0, which statement is valid for real values of y? y > 0 y = 0 y < 0 y 0 ST060 ST00 7 If x is a real number, which best describes the values of x for which the inequality x >0 is true? all x > 0 all x 0 all values of x no values of x lgebra II 7 Which of the following conclusions is true about the statement below? x = The statement is always true. The statement is true when x is negative. The statement is true when x = 0. The statement is never true. x ST06 76 If x is a real number, for what values of x is the equation log x = x true? all values of x some values of x no values of x impossible to determine ST belardo wants to create several different 7-character screen names. He wants to use arrangements of the first letters of his first name (abe), followed by arrangements of digits in 98, the year of his birth. How many different screen names can he create in this way? ST00 ST0096 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 009 alifornia epartment of Education.

22 LIFORNI STNRS TEST lgebra II 78 train is made up of a locomotive, 7 different cars, and a caboose. If the locomotive must be first, and the caboose must be last, how many different ways can the train be ordered? 00 8,0 6,880 8, ST09 80 Teresa and Julia are among 0 students who have applied for a trip to Washington,.. Two students from the group will be selected at random for the trip. What is the probability that Teresa and Julia will be the students selected? 79 There are candidates in a city election. The winner will be the mayor, and the runner-up will be the vice-mayor. How many different combinations of mayor and vice-mayor are possible? ST ( y ) = 8y 08y + y y + ST009 8y +08y y y + 8y y 08y y + 8y + y 08y y + ST How many terms does the binomial expansion 0 of ( x + y ) contain? ST06 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 009 alifornia epartment of Education.

23 LIFORNI STNRS TEST 8 What are the first terms in the expansion of ( 6 + x )? + x + 0 x + 0 x + x + x + 8 x + x + 0 x +0 x + x + 60 x +60x 8 What is (x + y ) in expanded form? x + x y + 6x y + xy + y x + x y + 6x y + xy + y x + x y +0 x y + xy + y ST00 x + x y +0 x y +0 x y + xy + y ST What is the sum of the infinite geometric series ? 8 6 ST What is the nth term in the arithmetic series below? n + n n + n Which expression represents f( g( x )) if f( x)= x and g( x)= x +? x + x x x + 6x +8 x + x+ x +8 lgebra II ST078 ST00 88 Given that f( x) = x and g( x) = x 6, what is g( f( ))? ST009 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 009 alifornia epartment of Education.

24 LIFORNI STNRS TEST lgebra II 89 If f ( x )= x + x + and g( x )= (x +), which is an equivalent form of f( x )+ g( x )? x + x + x + x + x +8x + 0x + 0x +0 9 One bag contains green marbles and white marbles, and a second bag contains green marbles and white marble. If Trent randomly draws one marble from each bag, what is the probability that they are both green? ST00 90 math teacher is randomly distributing rulers with centimeter labels and 0 rulers without centimeter labels. What is the probability that the first ruler she hands out will have centimeter labels and the second ruler will not have labels? 6 ST08 ST0 9 box contains 7 large red marbles, large yellow marbles, small red marbles, and small yellow marbles. If a marble is drawn at random, what is the probability that it is yellow, given that it is one of the large marbles? On a certain day the chance of rain is 80% in San Francisco and 0%in Sydney. ssume that the chance of rain in the two cities is independent. What is the probability that it will not rain in either city? 8 SN00 7% % % 0% ST080 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 009 alifornia epartment of Education.

25 LIFORNI STNRS TEST lgebra II 9 The probabilities that Jamie will try out for various sports and team positions are shown in the chart below. Jamie Try out for basketball team Try out for baseball team Try out for guard 80% Try out for forward 0% Try out for catcher 70% Try out for pitcher 0% Jamie will definitely try out for either basketball or baseball, but not both. The probability that Jamie will try out for baseball and try out for catcher is %. What is the probability that Jamie will try out for basketball? 0% 60% 80% 90% ST00 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 009 alifornia epartment of Education.

26 LIFORNI STNRS TEST lgebra II 9 small-business owner must hire seasonal workers as the need arises. The following list shows the number of employees hired monthly for a -month period.,,, 6, 9 If the mean of these data is approximately 7, what is the population standard deviation for these data? (Round the answer to the nearest tenth.) , 6,,, 7, James found the mean and standard deviation of the set of numbers given above. If he adds to each number, which of the following will result? The mean will be multiplied by. The standard deviation will increase by. The mean will not change. The standard deviation will not change. SN007 ST00 6 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 009 alifornia epartment of Education.

27 LIFORNI STNRS TEST lgebra II Question Number orrect nswer Standard Year of Release This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 009 alifornia epartment of Education.

28 LIFORNI STNRS TEST lgebra II Question Number orrect nswer Standard Year of Release This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 009 alifornia epartment of Education.

29 LIFORNI STNRS TEST lgebra II Question Number orrect nswer Standard Year of Release PS PS PS PS PS PS PS This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 009 alifornia epartment of Education.