Multiple Choice Identify the choice that best completes the statement or answers the question.

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1 Algebra - nd Semester Final Exam Review Part Name: Hour: Date: Multiple Choice Identif the choice that best completes the statement or answers the question.. Which of the following is the inverse of the function?. Which of the following is the inverse of the function?. Which of the following shows the graphs of an equation and its inverse? x x x x. Which of the following equations is graphed below? x

2 . Which of the following shows the graphs of an equation and its inverse? x x x x 6. Which of the following equations is graphed below? x 7. Which of the following is true about the graph? It is smmetric about the origin. It is smmetric about the -axis. It is smmetric about the x-axis. It is smmetric about. 8. Which of the following is true about the graph of? It has rotational smmetr. It is smmetric about the x-axis. It is smmetric about the -axis. It is smmetric about the line = x. 9. Which of the following is a polnomial equation that crosses the x-axis at (-, 0) and (, 0), and touches the x-axis at (0, 0).

3 0. Which of the following is a polnomial equation that crosses the x-axis at (-, 0) and (, 0), and touches the x-axis at (, 0).. Which of the following represents the graph of the equation x x x x. Which of the following polnomial equations is represented b the graph below? x. If and, what is the value of?

4 . Which of the following represents the graph of the equation x x x x. Which of the following polnomial equations is represented b the graph below? x If and, what is the value of? 7. If and, which expression represent

5 8. If and, which expression represent 9. What is the equation of = x once it has been reflected (flipped) over the x-axis and shifted down units and right 7 units? 0. What is the equation of = x once it has been shifted up units and left units?. How can the graph of = be translated so that its equation becomes? It can be shifted right units and down units. It can be reflected across the x- axis, shifted left units and down units It can be shifted left units and up units. It can be reflected across the - axis, shifted left units and down units.. How can the graph of = be translated so that its equation becomes? It can be shifted right units and down units. It can be reflected across the x- axis, shifted left units and down units. It can be shifted left units and up units. It can be reflected across the - axis, shifted left units and down units.. The graph of a third degree polnomial function has zeros at -,, and. It is also negative for large positive values of x. Which of the following could represent this function?. The graph of a third degree polnomial function has zeros at, -, and. It is also positive for large positive values of x. Which of the following could represent this function?

6 . Which of the following is the graph of a polnomial of odd degree that has a negative leading coefficient? x x x x : Simplif the expression Simplif. Assume that all variables are positive. none of these 0. Identif the initial amount a and the growth factor b in the exponential function. a =.087, b = 00 a = 00, b =.087 a =.087, b = 00 a = 00, b =.087

7 Algebra - nd Semester Final Exam Review Part Name: Hour: Date:. Which of the following is the graph of a polnomial of even degree that has a positive leading coefficient? x x x x 0 0. Which of the following equations represents exponential growth?. How can ou determine if an exponential equation represents exponential growth? The initial value is negative. The base is a negative number. The base, b, is The base is a positive number greater than.. How can ou determine if an exponential equation represents exponential deca? The base is a positive number The initial value is negative. greater than. The base, b, is The base is a negative number.

8 . The table shows the estimated number of deer living in a forest over a five-ear perio Are the data best represented b a linear, exponential, or quadratic model? Write an equation to model the dat exponential; linear; quadratic; quadratic; 6. What equation models the data in the table if d = number of das and c = cost? Year Estimated Population d = c c = d c = d + d c = d + Das Cost Which kind of function best models the data? Write an equation to model the dat x What equation models the data in the table? x Select the reason wh power is smaller than. An positive number with a negative exponent is alwas negative. An positive number with a negative exponent is alwas equal to zero. An positive number with a negative exponent alwas equals the opposite reciprocal to the positive power. An positive number with a negative exponent alwas equals its reciprocal to the positive power.

9 0. Select the reason wh power is smaller than. An positive number with a negative exponent is alwas negative. An positive number with a negative exponent alwas equals its reciprocal to the positive power. An positive number with a negative exponent alwas equals the opposite reciprocal to the positive power. An positive number with a negative exponent is alwas equal to zero.. Which of the following has the largest value?. Which of the following has the smallest value?. Your favorite math teacher bought an 89 abacus that Albert Einstein received for his 6 th birthda for $,000. Each ear it appreciates in value b %. Which equation can be used to find the value, v, of the abacus x ears after it was purchased? v = (.0) v = (.0) v = (0.9) v = (.0). You bought a car for $,000. Each ear it appreciates in value b 8.%. Which equation can be used to find the value, v, of the car, x ears after it was purchased?. For which values of x is the function f(x) = negative? or or 6. For which values of x is the function (x 6)(x + ) positive? or or

10 7. Scott is a computer-notebook salesman. He estimated that the number of people using notebooks,, in a town after x ears could be represented b the equation = 0(.7) x. Which of the following is a graph of this equation? 8. Suppose a laborator has a g sample of polonium-0.the half-life of polonium-0 is about 8 das. Which of the following equations could be used to calculate the number of grams remaining from the original sample t das after the scientist collected it? A = A = A = (0.)(8t) 9. The half-life of a certain radioactive material is 8 hours. An initial amount of the material has a mass of 7 kg. Which of the following equations could be used to calculate the number of grams remaining from the original sample t hours after the scientist collected it?

11 0. Polonium-0 is a radioactive substance that has a half-life of 8 das. If there is a 9 g sample of polonium-0 left on April 9 and found on October 9, 8 das later, approximatel how much polonium-0 would remain? 9. grams. grams 98 grams 0 grams. The population of a certain bacteria increases dail b 0%. If the population of bacteria was 000 on April, which of the following graphs correctl depicts this situation? 8000 Bacteria 8000 Bacteria Das Das 9000 Bacteria Bacteria Das Das. The half-life of a certain radioactive material is,000 ears. An initial amount of the material having a mass of,000 kg was left in 980 and found in the future in the ear 6,980. Approximatel how man kg remain? 66.9 kg 7. kg kg 800 kg. Describe the end behavior of. As and as As and as As and as As and as. Describe the end behavior of. As and as As and as As and as As and as

12 . Which of the following statements is true regarding the function: As x increases, f(x) remains constant. As x increases, f(x) increases. As x increases, f(x) is zero. As x increases, f(x) decreases. 6. Which of the following statements is true regarding the function: As x increases, f(x) remains constant. As x increases, f(x) increases. As x increases, f(x) is zero. As x increases, f(x) decreases. 7. Identif the asmptotes of the graph. x = ; = x = ; = x = ; = x = ; = O x The graph of the function f(x) = + is shown below. What are the equations of the asmptotes of the function? x = 0 ; = x = ; = x = ; = x = ; = O x How can be simplified? 60. How can be simplified?

13 Algebra - nd Semester Final Exam Review Part Name: Hour: Date: 6. Which of the following correctl simplifies the expression shown? Which of the following correctl simplifies the expression shown? 6. The volume of a cube varies directl with the cube of the lengths of its sides. If the lengths of the sides double, what happens to the volume of the cube? The volume will increase b a factor of. The volume will increase b a factor of. The volume will increase b a factor of 6. The volume will increase b a factor of The area of a circle varies directl with the square of its radius. If the length of the radius triples, what happens to the area of the circle? The volume will increase b a factor of. The volume will increase b a factor of 6. The volume will increase b a factor of 8. The volume will increase b a factor of Which is the solution of the equation (x ) 7 = -8? Which is a solution to the equation (x - 8) = 8? For what values of a is there no solution to the equation (x + ) a = -8? For what values of a is there a solution to the equation (x ) a =? 0 -

14 69. In a parking garage, the first two hours costs $. Each additional hour costs $0.0 per hour. Which of the following accuratel represents the total cost, c, of parking a car in the garage for h hours? 70. At a local gm, membership costs $0 for the first month and $0 for each additional month. Which of the following accuratel represents the total cost, c, of attending the gm for m months? 7. What is the equation for an absolute value function that has been translated units up from the parent function? = x + = x = x = x + 7. What is the equation for an absolute value function that has been translated. units down from the parent function? = x. = x +. =.x -. = x 7. Which of the following describes the function? quadratic function power function exponential function logarithmic function 7. Which of the following describes the function? quadratic function power function exponential function logarithmic function 7. Which function has an asmptote? absolute value quadratic linear exponential 76. Which function does not have an asmptote? exponential quadratic inverse variation l

15 Power Gen'd (000 MW) Power Gen'd (000 MW) Power Gen'd (000 MW) Power Gen'd (000 MW) 77. A music store is offering a coupon promotion on its DVD s. The regular price for DVD s is $9.99. With the coupon, customers are given $.00 off the cost of the entire DVD purchase. Which of the following tpes of functions will best model the situation? Linear Function Quadratic Function Exponential Function Power Function 78. Which graph correctl displas the data given in the table? Countries with Ten or More Nuclear Reactors Number of Nuclear Reactors Power Generated (Megawatts) United States 09 98,78 France 7 9,0 Japan 8 8,09 United Kingdom,909 Russia 9 9,8 Canada,7 German,67 Ukraine,679 Sweden 0,00 From The World Almanac and Book of Facts, 99, s.v. Energ - World Nuclear Power No. of Reactors No. of Reactors No. of Reactors No. of Reactors 79. What is the line of best fit for the data in question 78? Use a graphing calculator.

16 Electricit Supplied Electricit Supplied Electricit Supplied Electricit Supplied 80. Which graph correctl displas the data given in the table? Countries with Ten or More Nuclear Reactors Number of Nuclear Reactors Electricit Supplied (Terawatt-Hours*) United States France 7 0. Japan 8 6. United Kingdom 79.8 Russia 9 9. Canada 88.6 German.0 Ukraine 7. Sweden 8.9 * One terawatt-hour (TW-hr) equals one trillion watt-hours of electrical energ. From The World Almanac and Book of Facts, 99, s.v. Energ - World Nuclear Power No. of Reactors No. of Reactors No. of Reactors No. of Reactors 8. What is the line of best fit for the data in question 80? Use a graphing calculator.

17 8. The scatterplot above shows the football game attendance for Kenned High School and the temperature at the start of each game. Which of the following statements reflects the relationship between the temperature and attendance? No one came to football game when the temperature dropped below degrees. As the temperature increased, attendance decrease As the temperature increased, attendance also increase Temperature does not seem to consistentl affect attendance. 8. Which of the following best describe the data shown in the scatterplot below? It cannot be determined if there is a correlation. There is a weak correlation. There is a strong negative correlation. There is a strong positive correlation. Number of Weeks 8. What is the term used to describe the points in the scatterplot indicated b the arrow? maxima outsider cluster outlier 8. Are there an outliers in the following graph? Yes No Possibl No, but there is an outsider Number of Weeks

18 Score Score Score Score 86. Which graph shows the best trend line for the following dat 60 Violin Competition 60 Violin Competition Practice (weeks) Violin Competition 60 Practice (weeks) Violin Competition Practice (weeks) Practice (weeks) 87. What is the line of best fit for the data in question 86? Use a graphing calculator. 88. Since 98, the dail costs of patient care in communit hospitals in the United States has increased b 8. % per ear. Which of the following tpes of functions would best model the situation? Linear Function Quadratic Function Exponential Function Power Function 89. What situation can be modeled with a quadratic function? paing our phone bill the path of throwing a snowball depreciation of our car bacteria growth

19 Algebra - nd Semester Final Exam Review Part 90. Graph the set of dat Decide whether a linear model is reasonable. If so, draw a trend line and write its equation. Name: Hour: Date: {(, 7), (, ), (, ), (, ), (0, )} es; 8 es; 8 8 O 8 x O 8 x es; 8 es; 8 O 8 x 8 O 8 x 8 9. Which of the following equations best fits the data shown in the scatterplot below? = -x + 8 = x + 8 = -x + 8 = x + 8

20 9. A ball is thrown into the air with an upward velocit of 6 ft/s. Its height h in feet after t seconds is given b the function. In how man seconds does the ball reach its maximum height? Round to the nearest hundredth if necessar. What is the ball s maximum height?. s; 69.7 ft. s;. ft. s; 9. ft. s; 9 ft 9. What is the line of best fit for this data? =.8x. ; r = =.x +.8; r = =.8x. ; r = =.x +.8; r = Average Speed (mi/h) Time (hours) What is the line of best fit for this data? Christine s Best Javelin Throws (Use x = 0 for 997.) =.x ; r = = 0.86x +.; r = =.x ; r = = 0.86x +.; r = The line of best fit for a data set has a correlation coefficient of r = What does this indicate about the line of best fit? There is a strong negative 9% of the data are on the line of correlation. best fit. The slope of the line is -.9. There is a strong positive correlation.

21 Score Score Score Score 96. Which graph shows the best trend line for the following dat 60 Violin Competition 60 Violin Competition Practice (weeks) Violin Competition 60 Practice (weeks) Violin Competition Practice (weeks) Practice (weeks) 97. What is the line of best fit for the scatterplot below? What does the slope represent? =.x 00; Gina saves $.0 for ever hundred dollars she earns =.x 00; Gina saves $.00 for ever $.0 she earns = -.x 00; Gina saves $.0 for ever hundred dollars she earns = -.x 00; Gina saves $.00 less for ever additional $.0 she earns

22 98. Which of the following equation is a line of best fit for the scatterplot? Based on the equation, predict the length of the lizard s tail if its total length was cm? 99. Factor the polnomial to determine which of the following statements is true. The graph will cross at and and will touch the x-axis at 0. The graph will touch the x-axis at and -. The graph will cross at, -,, and -. The graph will touch at, -,, and The polnomial function to the right is written in factored form. What is true about the graph of the function? The graph will cross the x-axis at - and. The graph will cross the x-axis at 0, -, and. The graph will cross the x-axis at 0, -, and touch at. The graph will cross the x-axis at and Which of the following statements is true about the equation: The function has a degree of and a maximum of real zeros. The function has a degree of and a maximum of real zeros. The function has a degree of 0 and a maximum of 0 real zeros. The function has a degree of 0 and a maximum of 9 real zeros. 0. Which of the following statements is true for the equation: The function has a degree of and a maximum of real zeros. The function has a degree of and a maximum of real zeros. The function has a degree of 7 and a maximum of 7 real zeros. The function has a degree of 7 and a maximum of 6 real zeros...

23 Algebra - nd Semester Final Exam Review Answer Ke Name: Hour: Date:. ANS: B. ANS: A. ANS: B. ANS: C. ANS: D 6. ANS: A 7. ANS: C 8. ANS: A 9. ANS: B 0. ANS: A. ANS: A. ANS: C. ANS: D. ANS: A. ANS: C 6. ANS: B 7. ANS: B 8. ANS: D 9. ANS: D 0. ANS: D. ANS: B. ANS: C

24 . ANS: B. ANS: A. ANS: C 6. ANS: A 7. ANS: B 8. ANS: A 9. ANS: C 0. ANS: A. ANS: C. ANS: C. ANS: D. ANS: B. ANS: A 6. ANS: B 7. ANS: A 8. ANS: D 9. ANS: D 0. ANS: B. ANS: A. ANS: A. ANS: C. ANS: B. ANS: A 6. ANS: C

25 7. ANS: C 8. ANS: C 9. ANS: D 0. ANS: D. ANS: A. ANS: B. ANS: D. ANS: B. ANS: D 6. ANS: C 7. ANS: B 8. ANS: B 9. ANS: C 60. ANS: A 6. ANS: A 6. ANS: B 6. ANS: D 6. ANS: D 6. ANS: B 66. ANS: C 67. ANS: C 68. ANS: C 69. ANS: C

26 70. ANS: D 7. ANS: C 7. ANS: A 7. ANS: B 7. ANS: C 7. ANS: D 76. ANS: A 77. ANS: D 78. ANS: C 79. ANS: D 80. ANS: B 8. ANS: D 8. ANS: B 8. ANS: C 8. ANS: A 8. ANS: B 86. ANS: A 87. ANS: B 88. ANS: A 89. ANS: C 90. ANS: A 9. ANS: B

27 9. ANS: C 9. ANS: B 9. ANS: D 9. ANS: A 96. ANS: C 97. ANS: B 98. ANS: A 99. ANS: B 00. ANS: C 0. ANS: B 0. ANS: A

Thank you and have a great summer.

Thank you and have a great summer. Pablo Muñoz Superintendent of Schools Ali Alavi Supervisor of Mathematics Summer Math Assignment: The Passaic Public Schools Mathematics Department requests that students to complete a summer assignment.