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1 Math B Regents Exam 0609 Page b, P.I. A.M. The number of degrees equal to 5 9 radians is [A] 90 [B] 45 [C] 900 [D] b, P.I. A.G. The accompanying graph shows the curves of best fit for data points comparing temperature to altitude in four different regions, represented by the relations A, B, C, and D b, P.I. A.N.5 The expression [A] [C] is equivalent to [B] [D] b When the sum of i and - 9i is graphed, in which quadrant does it lie? [A] III [B] IV [C] II [D] I b, P.I. A.A. What is the solution of the inequality x 5? Which relation is not a function? [A] C [B] A [C] D [D] B b, P.I. A.N.0 What is the value of ( k)? k [A] [B] [C] 0 [D] [A] x [B] x [C] x or x [D] x b, P.I. G.G.54 Point A(,0) is a point on the graph of the equation y x 4x. When point A is reflected across the axis of symmetry, what are the coordinates of its image, point A? [A] (,-) [B] (,0) [C] (-,) [D] (0,) b, P.I. A.A.58 If sin x,, a a 0 which statement must be true? [A] csc x [C] sec x a [B] sec x a a [D] csc x a
2 Math B Regents Exam 0609 Page b The accompanying diagram represents the biological process of cell division b, P.I. A.A.8 Which expression is equivalent to ( ab )? 4 [A] ab [B] ab If this process continues, which expression best represents the number of cells at any time, t? [A] t [B] t [C] t [D] t [C] a b [D] ab b, P.I. A.A. The roots of the equation x [A] real, rational, and equal [B] real, rational, and unequal [C] real, irrational, and unequal [D] imaginary 5x 0 are. 0609b, P.I. A.A.5 The accompanying graph shows the average daily readership, in thousands, of the newspaper El Diario La Prensa b, P.I. G.G.58 Using a drawing program, a computer graphics designer constructs a circle on a coordinate plane on her computer screen. She determines that the equation of the circle's graph is ( x ) ( y ) 6. She then dilates the circle with the transformation D. After this transformation, what is the center of the new circle? [A] (-6,5) [B] (9,-6) [C] (-9,6) [D] (6,-5) Which type of function best represents this graph? [A] logarithmic [B] quadratic [C] exponential [D] trigonometric b, P.I. A.A.77 The expression sin A is equivalent to cos A [A] cos A [B] sin A [C] tan A [D] sin A
3 Math B Regents Exam 0609 Page b, P.I. A.A. What is the solution set of the equation y y? [A] {4} [B] { } [C] {-4,4} [D] {} b, P.I. A.A.6 What is the third term in the expansion of ( x ) 5? [A] 70x [B] 70x [C] 080x [D] 080x b, P.I. A.S.4 The accompanying table shows the scores on a classroom test b, P.I. A.A.7 The expression x x y x y is equivalent to [A] y [B] x y [C] y [D] x b, P.I. A.A.69 The Sea Dragon, a pendulum ride at an amusement park, moves from its central position at rest according to the trigonometric function P( t) 0sin( t), where t represents time, in seconds. How many seconds does it take the pendulum to complete one full cycle? [A] 6 [B] [C] 0 [D] b, P.I. A.A.4 If f( x) x fg ( ( )). 4 and g( x) x, find What is the population standard deviation for this set of scores? [A] 88 [B] 5 [C] 0. [D] b, P.I. A.A.7 In ABC,sin A 06., a 0, and b 7. Find sin B b, P.I. A.A.5 The manager of Stuart Siding Company found that the number of workers used to side a house varies inversely with the number of hours needed to finish the job. If four workers can side the house in 48 hours, how many hours will it take six workers working at the same speed to do the same job? [A] [B] 4 [C] 7 [D] b, P.I. A.A.7 x Solve algebraically for x: 9 x
4 Math B Regents Exam 0609 Page b, P.I. G.G.50 The accompanying diagram shows two lengths of wire attached to a wheel, so that AB and AC are tangent to the wheel. If the major arc BC has a measure of 0, find the number of degrees in m A b, P.I. A.S.7 The number of newly reported crime cases in a county in New York State is shown in the accompanying table. Write the linear regression equation that represents this set of data. (Let x 0 represent 999.) Using this equation, find the projected number of new cases for 009, rounded to the nearest whole number b, P.I. A.A.8 Solve for x: log ( x ) b, P.I. A.A.44 The accompanying graph shows the relationship between the cooling time of magma and the size of the crystals produced after a volcanic eruption. On the same graph, sketch the inverse of this function b, P.I. G.G.58 On the accompanying grid, graph and label ABC with vertices A(,), B( 04, ), and C( 5, ). On the same grid, graph and label A" B" C", the image of ABC after the transformation r axis r. x y x
5 Math B Regents Exam 0609 Page b, P.I. A.A.6 Express in simplest form: x 9 x 6 6 x. 0609b, P.I. A.A.7 The accompanying diagram shows a triangular plot of land located in Moira's garden b, P.I. A.S.5 Dave does not tell the truth 4 of the time. Find the probability that he will tell the truth at most twice out of the next five times b In the accompanying diagram, CD is an altitude of ABC. If CD 8, m A 45, and m B 0, find the perimeter of ABC in simplest radical form. Find the area of the plot of land, and round your answer to the nearest hundred square feet b, P.I. G.G.8 In the accompanying diagram of circle O, AD is a diameter with AD parallel to chord BC, chords AB and CD are drawn, and chords BD and AC intersect at E. Prove: BE CE. 0609b, P.I. A.A.68 Solve the equation cos cos for all values of to the nearest tenth of a degree, in the interval 0 60.
6 Math B Regents Exam 0609 Page [] D [] B [] A [4] D [5] C [6] A [7] A [8] B [9] A [0] C [] B [] D [] D [4] B [5] A [6] B [7] C [8] A [9] A [0] A [] [] 5, and appropriate work is shown. computational error is made. or conceptual error is made, such as finding or [] 5, but no work is shown. [] [] [4] [] 0.4, and appropriate work is shown. computational error is made. or or [] A correct equation is written, but sin B is not found. or [] 0.4, but no work is shown. [], and appropriate algebraic work is shown. computational error is made. or x x or [] The equation ( ) or an equivalent equation is written, but no further correct work is shown. or [], but a method other than algebraic is used. or [], but no work is shown. [] 40, and appropriate work is shown. computational error is made. or or [] 40, but no work is shown.
7 Math B Regents Exam 0609 Page [5] [6] [], and appropriate work is shown. computational error is made. or or [] 8 x, but no further correct work is shown. or [], but no work is shown. [] The inverse function is graphed correctly. [] One graphing error is made. [7] [4] y = -5.5x and 0, and appropriate work is shown, such as substituting 0 into the regression equation. [] Appropriate work is shown, but one computational, rounding, or substitution error is made. or [] The expression -5.5x is written and 0, and appropriate substitution is shown, but no equation is written. or [] y = -5.5x and 0, but no substitution is shown. [] Appropriate work is shown, but two or more computational, rounding, or substitution errors are made. or [] Appropriate work is shown, but one or [] An incorrect linear regression equation is written, but an appropriate number of new cases is found. or [] y = -5.5x , but no further correct work is shown. or [] The expression -5.5x is written and 0, but no substitution is shown. conceptual error and one computational, rounding, or substitution error are made. or [] The expression -5.5x is written or 0, but no substitution is shown.
8 Math B Regents Exam 0609 Page [8] [4] Both ABC and A" B" C" are graphed and labeled correctly. [] Appropriate work is shown, but one graphing or labeling error is made. or [] Appropriate work is shown, but only A" B" C" is graphed and labeled correctly. [] Appropriate work is shown, but two or more graphing or labeling errors are made. or [] Appropriate work is shown, but one conceptual error is made, such as reflecting over the x-axis before reflecting over the line y x. conceptual error and one graphing or labeling error are made. or [] A"(l,-), B"(4,0), and C"(,5) are stated, but no work is shown. or [] ABC is graphed and labeled correctly, but only r y x or r x axis is graphed correctly. [9] [4], and appropriate work is shown. [] Appropriate work is shown, but one computational, factoring, or simplification error is made. [] Appropriate work is shown, but two or more computational, factoring, or simplification errors are made. or [] Appropriate work is shown, but one conceptual error is made, such as not factoring out. or [] Appropriate work is shown, but the x 9 answer is left as or as an ( x ) equivalent expression. conceptual error and one computational, factoring, or simplification error are made. or [] Appropriate work is shown, but the x 9 answer is left as ( x ) ( x). or [], but no work is shown.
9 Math B Regents Exam 0609 Page 4 [0] [4] 98 or an equivalent answer, and 04 appropriate work is shown, such as C0( ) ( ) 5C( ) ( ) 5C( ) ( ) [] Appropriate work is shown, but one computational or rounding error is made. or [] C ( ) ( 4 ), C ( ) ( ) 4, and C ( ) ( ) are evaluated, but the values are 4 4 not added. [] Appropriate work is shown, but two or more computational or rounding errors are made. or [] Appropriate work is shown, but one conceptual error is made, such as finding the probability of "not telling the truth at most twice" or the probability of "telling the truth at least twice." or [] C0( ) ( ) 5C( ) ( ) 5C( ) ( ), but no further correct work is shown. conceptual error and one computational or rounding error are made. or [] Appropriate work is shown to find 70, the probability of telling the truth 04 exactly twice out of five times. or [] 98 or an equivalent answer, but no 04 work is shown. [] [4] 4 8 8, and appropriate work is shown, such as labeling the diagram using special right triangle rules or right triangle trigonometry. [] Appropriate work is shown, but one computational error is made or the answer is not in simplest radical form. or [] The measures of the four segments are found correctly, but the perimeter is not found or is found incorrectly. [] Appropriate work is shown, but two or more computational errors are made. or [] Appropriate work is shown, but one or [] The measures of three segments are found correctly, but no further correct work is shown. conceptual error and one computational error are made. or [] The measures of two segments are found correctly, but no further correct work is shown. or [] 4 8 8, but no work is shown.
10 Math B Regents Exam 0609 Page 5 [] [4] 60, 09.5, 50.5, 00, and appropriate work is shown algebraically or graphically. [] Appropriate work is shown, but one computational, factoring, graphing, or rounding error is made. or [] Appropriate work is shown, but only three correct values of are found. [] Appropriate work is shown, but two or more computational, factoring, graphing, or rounding errors are made. or [] Appropriate work is shown, but one or [] Appropriate work is shown, but only two correct values of are found. conceptual error and one computational, factoring, graphing, or rounding error are made. or [] Appropriate substitutions are made and the equation is written in standard form, but no further correct work is shown. or [] 60, 09.5, 50.5, 00, but no work is shown. [0] 60 or 09.5 or 50.5 or 00, but no work is shown. or [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously [] [6] 8,00, and appropriate work is shown, such as using the Law of Cosines or Hero(n)'s formula. [5] Appropriate work is shown, but one computational or rounding error is made. [4] Appropriate work is shown, but two or more computational or rounding errors are made. [] Appropriate work is shown, but one or [] The Law of Cosines is used to find an angle, but no further correct work is shown. [] Appropriate work is shown, but one conceptual error and one computational or rounding error are made. [] A correct substitution is made into the Law of Cosines, but no further correct work is shown. or [] 8,00, but no work is shown.
11 Math B Regents Exam 0609 Page 6 [4] [6] A complete and correct proof that includes a conclusion is written. [5] A proof is written that demonstrates a thorough understanding of the method of proof and contains no conceptual errors, but one statement and/or reason is missing or is incorrect. or [5] BEA CED is proven or BEC is proven to be isosceles, but no further correct work is shown. [4] A proof is written that demonstrates a good understanding of the method of proof, but two statements and/or reasons are missing or are incorrect. [] A proof is written that demonstrates a good understanding of the method of proof, but one [] Some correct relevant statements about the proof are made, but three or four statements and/or reasons are missing or are incorrect. or [] A proof is written that demonstrates understanding of the method of proof, but one conceptual error is made, and one statement or reason is missing or is incorrect. [] Only one correct relevant statement and reason are written. [0] The "given" and/or the "prove" statements are rewritten in the style of a formal proof, but no further correct relevant statements are written. or [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously
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