Applied Algebra II Semester 2 Practice Exam A DRAFT. 6. Let f ( x) = 2x A. 47 B. 92 C. 139 D. 407

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1 Applied Algebra II Semester Practice Eam A. Find the solution set of { + 0, 0} { + i 0, i 0} { + i, i } { +, } + = 9.. Let f ( ) = and ( ) 0 g =. Which epression is equivalent to f g? ( ) ( ). What is the simplified form of the epression ? 6. Simplif b 5 b b b b. 5. If h( ) = 0 and j( ) h( ) + j( )? = +, what is 6. Let f ( ) = and g( ) =. Which epression is equivalent to f g? ( )( ) GO ON Clark Count School District Revised 08/0/0

2 Applied Algebra II Semester Practice Eam A 7. Which is the inverse of the function k = 6 for 0? ( ) k ( ) k ( ) = + + ( ) = k = + k ( ) 6 = + 8. What function is represented b this graph? 9. Solve for : 5 = = 5 = 5 = 5 = The volume V of a sphere with radius r is given b V = π r. If a spherical hot air balloon has a volume of,000 cubic feet, what is the radius of the balloon? 9000 ft π 000 ft π 000 ft π 500 ft π = + + = + + = + = +. Simplif the epression ( i) + ( + i) ( + i) where i = i 7 i 5 + 5i 5 5i GO ON Clark Count School District Revised 08/0/0

3 Applied Algebra II Semester Practice Eam A. What function is represented b the graph?. Which graph represents f ( ) =? = + = + = + = GO ON Clark Count School District Revised 08/0/0

4 Applied Algebra II Semester Practice Eam A. Solve for : = 5 = 6 = = 7 5. Solve for : = = 7 = no solution 5 = 5 + = The value of w varies directl with and inversel with. If w = 5 when = and =, what is the value of w when = and =? What function is represented b the graph? 6. What is the solution to the given sstem of linear equations? + z = 0 + z = z = 5 ( 7,, 5 ) ( 8, 5, 5 ) 7,,5 9,8,5 f ( ) f ( ) f ( ) f ( ) = = + = = GO ON Clark Count School District Revised 08/0/0

5 Applied Algebra II Semester Practice Eam A 9. What is the domain of the function f ( ) =?, ecept 0, ecept and, ecept 0,, and 0. Which of the following functions have an asmptote at =? I. II. III. II onl = = = I and II onl I and III onl I, II, and III. If no denominators equal zero, which 5 epression is equal to +? Simplif the epression 5 9 ( + ) ( ) 5. What is the solution set of =? {, } {0, } { }. What is the solution set of = +? { 8, } { 8} {, } { } GO ON Clark Count School District Revised 08/0/0

6 Applied Algebra II Semester Practice Eam A 5. What is the minimum or maimum of the quadratic function q = 8 +? ( ) ( ) q = q = ( ) ( ) q = 5 q( ) = 8 6. A circle has the equation + =. If the circle were translated units right and units down, what is its new equation? 7. What graph represents the equation ( ) 5 + = 5? + = + = 5 ( ) ( ) + + = ( ) ( ) + + = GO ON Clark Count School District Revised 08/0/0

7 Applied Algebra II Semester Practice Eam A 8. Which equation is represented b the graph below? 9. What graph represents the equation + 0 = 0? ( ) ( ) = + = ( ) ( ) = 6 ( ) ( ) ( ) ( ) + = GO ON Clark Count School District Revised 08/0/0

8 Applied Algebra II Semester Practice Eam A 0. Find the center and radius of the circle that has the equation in standard form:. Epand the epression 6 n + 5. n= = 0 center at (, ); radius = 5 center at (, ); radius = 5 center at (, ); radius = 5 center at (, ); radius = 5. Given the sstem of linear equations: + = 5 + = 6 Which epression below shows the solution to the sstem using matrices? 5 = 6 5 = = 6 5 = What sequence is geometric? {, 6, 8, 7, 60, } {,, 6,, 6, },,,,, 9 7,,,,, What is the series when written in summation notation? i i= i + i= i + i + 6. How man terms are in the arithmetic sequence,, 7,,, 9? i i= i i= i i GO ON Clark Count School District Revised 08/0/0

9 Applied Algebra II Semester Practice Eam A 6. What is the 6 th term of the arithmetic sequence 7,, 5,,? Which is a formula of a geometric sequence when g = and g 6 = 96? ( ) g = ( ) g n n n = g n n = n ( ) = n ( ) g n 8. The first row in a school theatre has 5 seats. Each following row has one more seat than the row before it. A class of thirt-five students wants to sit in the same row. What is the lowest numbered row in which the can sit? 0 th row th row th row th row 9. Which is a recursive rule for the sequence,, 7,, 6,? =, = t tn tn =, = + t tn tn t = t = t + n, n n t =, t = t n n n 0. Which sequence represents the following definition: t = t = t + n n n {,, 6, 8, 0,, } {,, 8,,,, } {, 6, 8, 0,,, } {, 6,, 0, 0,, } GO ON Clark Count School District Revised 08/0/0

10 Applied Algebra II Semester Practice Eam A. The charge for parking at an airport is $5 for time up to one hour, plus $ for each additional hour (or portion of an hour) up to a maimum of $5. What graph represents this situation?. In the 980 s, the standard configuration for a Woming license plate was a small number between and, inclusive, followed b four digits with repetition allowed. For eample: WYOMING How man license plates were possible for the entire state of Woming in the 980 s? 6,000 0,000 00,000,000,000. A student will randoml choose four digits from the set {,,,, 5, 6}, without replacement, and arrange them in the order the were chosen. How man different four-digit numbers can be made in this wa? GO ON Clark Count School District Revised 08/0/0

11 Applied Algebra II Semester Practice Eam A. There are 0 students in a class. Four of them are to be selected at random to participate in an activit. How man different groups of students are possible? 0 0,00 0, What is the binomial epansion of ( + )? What is the rd term of the binomial epansion of ( + )? Linda flipped a fair coin si times and the result was heads each time. Which statement describes the probabilit of obtaining heads on the seventh flip? Heads is more probable than tails because she has flipped onl heads. Heads is not probable at all because onl heads has come up. Heads is less probable than tails because each result depends on the previous result. Heads is equall as probable as tails because each flip is independent. 8. A cooler contains 8 cans of cola, 6 cans of ginger ale, cans of root beer, and cans of orange soda. If a person reaches in the cooler and pulls out two cans at random, what is the probabilit that both cans will be ginger ale? GO ON Clark Count School District Revised 08/0/0

12 Applied Algebra II Semester Practice Eam A 9. Which of these measures are greatl influenced b etreme values? I. mean II. median III. interquartile range IV. range IV onl I and IV onl II and III onl I, III, and IV onl 50. The graph below shows the number of home runs hit b the teams in a baseball league. 0 Home Runs b Teams in a Baseball League Number of Teams Home Runs Which value could be the median number of home runs? Clark Count School District Revised 08/0/0

13 Applied Algebra II 0 0 Semester Free Response Practice Eam A OK Calculators allowed. Use the functions f ( ) = + and g( ) the questions below. = to answer (a) State the domain and range for f ( ). (b) Find ( ( )) (c) Find f ( ) ( ) f g. Find ( ). g f. (d) Sketch and label the graph of = f ( ).. The equation of a circle is ( ) + + = 5. (a) State the radius and the coordinates of the center of the circle. (b) Graph the circle. (c) Is the point (, ) inside, outside, or on the circle? Eplain.. Use the functions f ( ) = and g( ) 8 =. + (a) Graph the function = f ( ), labeling the asmptotes and intercepts on the graph. (b) Solve for if f ( ) = g( ). (c) Simplif f ( ) + g( ). 0 0 Clark Count School District Revised 0/05/0

14 APPLIED ALGEBRA II SEMESTER EXAM ITEM SPECIFICATION SHEET & KEY Free Response # Course Concepts / Objectives Sllabus Objectives Radical functions, arithmetic of functions, and composition of functions Circles Rational equations and functions NV State Standards # Objective Sllabus Objective NV State Standard Ke Solve quadratic equations and inequalities A Simplif radical epressions b appling properties of radicals B Use properties of rational eponents to simplif epressions B Perform arithmetic operations of functions C 5 Perform arithmetic operations of functions A 6 Find a composition of functions D 7 Derive and verif inverses of functions A 8 Graph square root/cube root equations C 9 Solve equations with radicals or rational eponents... D 0 Solve application problems using roots, rational eponents, powers, and radicals... A Perform operations with comple numbers C Graph eponential functions A Graph eponential functions C Solve eponential equations C 5 Solve eponential equations B 6 Solve sstems of linear equations in three..5. variables...5 A 7 Solve problems using direct, inverse, or joint variation A 8 Graph rational functions C 9 Identif domain, range, and asmptotes of rational functions C 0 Identif domain, range, and asmptotes of rational functions A Simplif rational epressions D Simplif rational epressions B 0 0 Page of Revised: 09/9/0 Clark Count School District

15 APPLIED ALGEBRA II SEMESTER EXAM ITEM SPECIFICATION SHEET & KEY Solve rational equation A Solve rational equation D 5 Analze graphs of polnomial functions to determine characteristics...9 B.. 6 Graph circle or write the equation of a circle D Graph circle or write the equation of a circle A Graph circle or write the equation of a circle C Graph circle or write the equation of a circle A Find the center/radius of a circle D..5.. Solve sstems using matrices A..5 Solve for a given number of terms in a sequence.... A Write a series in epanded form given summation notation.... B Differentiate between arithmetic and geometric sequences and series.... C 5 Write a series in summation notation given the epanded form.... A 6 Determine the n th term of an arithmetic or geometric sequence..5.. C 7 Determine the n th term of an arithmetic or geometric sequence..5.. D 8 Mathematical model using sequences/series to solve application problem..6.. B 9 Develop recursive formula for a given arithmetic sequence/series..7.. C 0 Write a sequence given a recursive formula..8.. D Define, graph, or evaluate piecewise functions....5 D Calculate the number of was an event ma occur using the Fundamental Counting Principle B Calculate the number of was an event ma occur using the Fundamental Counting Principle C Calculate the number of was an event ma occur using the Fundamental Counting Principle B / D 5 Epand a binomial epression C 6 Calculate the r th term of a binomial epression B 7 Distinguish among various terms and smbols used to describe probabilit D 8 Find theoretical and/or eperimental probabilit of a simple/compound event C 0 0 Page of Revised: 09/9/0 Clark Count School District

16 APPLIED ALGEBRA II SEMESTER EXAM ITEM SPECIFICATION SHEET & KEY 9 Distinguish among the various measures of tendenc and variabilit B 50 Organize data using statistical methods C 0 0 Page of Revised: 09/9/0 Clark Count School District

( ) ( ) ( )( ) Algebra II Semester 2 Practice Exam A DRAFT. = x. Which expression is equivalent to. 1. Find the solution set of. f g x? B.

( ) ( ) ( )( ) Algebra II Semester 2 Practice Exam A DRAFT. = x. Which expression is equivalent to. 1. Find the solution set of. f g x? B. Algebra II Semester Practice Eam A. Find the solution set of 5 5 +, 9 9 +, 5 5 +, =.. Let f ( ) = and g( ) =. Which epression is equivalent to f g? ( ) ( ) + ( ) 9 9 +, 5. If h( ) = 0 and j( ) h( ) + j