Algebra II. Released Test Questions. 3 What is the solution to the system of equations shown below?

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1 L I F O R N I ST N R S T E ST lgebra II What is the complete solution to the equation 6 =? What is the solution to the system of equations shown below? = ; = = ; = = ; = = ; = ST0007 ( 0,, ) y + z = 8 6 y z = y 9 z = 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 8 dozen 9 dozen ST00099,, 0 no solution infinitely many solutions ST000 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? ST009 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 007 alifornia epartment of Education.

2 L I F O R N I ST N R S T E ST lgebra II What system of inequalities best represents the graph shown below? y 7 Which polynomial represents ( + )( )? y > and y> + y > and y< + y < and y> + y < and y< ( ) ( + )= ST00 ST00 ST ) Which epression is equivalent to ( 6 y )( 6 y + )? y 6 y 6 y + y + y 6 y + y y ST ST a + c = (a+ c )( a+ c )( a+ ) c (a c )( a + ac+ c ) (a c )( a + ac+ c ) (a+ c )( a ac+ c ) ST008 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 007 alifornia epartment of Education.

3 L I F O R N I ST N R S T E ST lgebra II The total area of a rectangle is 9 y. Which factors could represent the length times width? ( y + y) )( ( + y )( + y) ( y)( y ( + y)( ) y ) ST008 Which is a simplified form of abc? (a b c ) a bc ab c bc Which product of factors is equivalent to ( + ) y? ( + +y) ( + y) ( + y)( y) ( + +y)( + y) ab c 0 8 What is? 7 y y y 8 ST0067 ST000 8y = y y ST0 6 6 Which product is equivalent to? ( ) ( + ) ST009 ( ) ( + ) ST00 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 007 alifornia epartment of Education.

4 L I F O R N I ST N R S T E ST i = 8 What is the simplest form of y + 0 y + 0 y? y ( + ) (+ y +y ) + y ST00 ST009 lgebra II 9 If i =, which point shows the location of i on the plane? Imaginary Real point point point point ST000 0 If i =, what is the value of i? i i ST008 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 007 alifornia epartment of Education.

5 L I F O R N I ST N R S T E ST lgebra II If i =, then i( 6i) = 8 8 ST00 What are the solutions to the equation + + =0? = 0; = = 0; = i = + i; = i = + ; = ST00 What is an equivalent form of? + i i i i i ST000 What is the product of the comple numbers ( + i) and ( i)? What are the solutions to the equation + =? = + ; = = + ; = = + ; = = + ; = ST i 0 6i ST008 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 007 alifornia epartment of Education.

6 L I F O R N I ST N R S T E ST 6 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? 6,,,, 6 ST009 7 Jenny is solving the equation 8 = 9 by completing the square. What number should be added to both sides of the equation to complete the square? 8 6 ST Which of the following most accurately describes the translation of the graph y = ( + ) to the graph of y = ( ) +? up and to the right down and to the right down and to the left up and to the left lgebra II ST007 9 Which of the following sentences is true about the graphs of y = ( ) + and y = ( + ) +? Their vertices are maimums. The graphs have the same shape with different vertices. The graphs have different shapes with different vertices. One graph has a verte that is a maimum, while the other graph has a verte that is a minimum. 0 What are the -intercepts of the graph of y =? ST09 and 6 and 6 and and ST0097 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 007 alifornia epartment of Education.

7 L I F O R N I ST N R S T E ST lgebra II Which is the graph of y = ( ) +? y y y y 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 007 alifornia epartment of Education.

8 L I F O R N I ST N R S T E ST Which ordered pair is the verte of f( ) = + 6 +? (, ) (, ) (, 0 ) (, 0 ) lgebra II y 6 0 y 9 = 0 What is the standard form of the equation of the conic given above? ( ) (y ) = (y + ) ( ) = ( y ) ( + ) = 6 9 ST008 ( ) + ( y ) = The graph of y = is a hyperbola. Which set of equations represents the asymptotes of the hyperbola s graph? y =, y = y =, y = y =, y = y =, y = ST006 What is the solution to the equation = 7? = = log 0 = log 7 + log 0 0 log 7 = 0 log 0 ST00 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 007 alifornia epartment of Education.

9 L I F O R N I ST N R S T E ST lgebra II 6 If log 0 =, what is the value of? 8 Which is the first incorrect step in simplifying log? 6 = 0 Step : log = log log 6 6 = Step : = 6 0 = 00 =00 ST0 7 Which equation is equivalent to log =? = 9 = 9 = 9 = 9 Step : = Step Step Step Each step is correct. ST007 9 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 7 = = 7 7 = 0, 0 =, 0 Michael s work renda s work 7 7 = = 7 7 =, 0 =, 0 9 ST0 Which is a completely correct solution? Jeremy s work Michael s work Shanan s work renda s work 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 007 alifornia epartment of Education.

10 L I F O R N I ST N R S T E ST 0 certain radioactive element decays over 00 time according to the equation y =, 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 ST0067 acteria in a culture are growing eponentially with time, as shown in the table below. lgebra II If the equation y = is graphed, which of the following values of would produce a point closest to the -ais? 8 log 6 0 = log 6 + log ST0 acteria Growth ay acteria Which of the following equations epresses the number of bacteria, y, present at any time, t? log 6 log (log 0 6 )(log 0 0 ) log log ST0099 y =00 + t y y = t y t =( 00 ) i ( ) t =( 00 ) i ( ) ST0 What is the value of log 7? 6 9 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 007 alifornia epartment of Education.

11 L I F O R N I ST N R S T E ST lgebra II If log 0. 0 and log 0. 77, what is the approimate value of log 7? ST06 8 Given the equation y = n where >0 and n <0, which statement is valid for real values of y? y > 0 y = 0 y < 0 y 0 ST00 6 If is a real number, for what values of is the 9 equation = true? all values of some values of no values of impossible to determine ST000 7 On a recent test, Jeremy wrote the equation 6 = +. Which of the following statements is correct about the equation he wrote? The equation is always true. The equation is always true, ecept when =. The equation is never true. The equation is sometimes true when =. ST060 9 If is a real number, which best describes the values of for which the inequality >0 is true? all > 0 all 0 all values of no values of 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 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 007 alifornia epartment of Education.

12 L I F O R N I ST N R S T E ST 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 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? ( y ) = 8y 08y + y y + 8y +08y y y + 8y y 08y y + 8y + y 08y y + lgebra II ST0008 How many terms does the binomial epansion of ( + y ) 0 contain? ST06 ST0007 What is the sum of the infinite geometric series ? ST067 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 007 alifornia epartment of Education.

13 L I F O R N I ST N R S T E ST lgebra II 6 What is the nth term in the arithmetic series below? n + n n + n ST078 9 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? 7 Which epression represents f( g( )) if f( )= and g( )= +? ST00 8 If f( )= + + and g( )= ( +), which is an equivalent form of f( )+ g( )? ST0 60 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? 7% % % 0% ST080 ST00 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 007 alifornia epartment of Education.

14 L I F O R N I ST N R S T E ST lgebra II 6 bo 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? SN00 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 007 alifornia epartment of Education.

15 L I F O R N I ST N R S T E ST lgebra II 6 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 Try out for Try out for Try out for guard forward catcher pitcher 80% 0% 70% 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 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 007 alifornia epartment of Education.

16 L I F O R N I ST N R S T E ST 6 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 approimately 7, what is the population standard deviation for these data? (Round the answer to the nearest tenth.) , 6,,, 7, lgebra II 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 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 007 alifornia epartment of Education.