End-of-Course Assessment

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1 End-of-ourse Assessment Part I: alculator NOT Permitted Multiple hoice Read each question. Then write the letter of the correct answer on our paper.. Which of the following is an irrational number? A 5 3 " D "5. You toss a 6-sided number cube and a coin at the same time. How man possible outcomes are there? A 6 8 D 3. Rewrite (53 )(7 ) (5 6 )(7 8 using positive ) eponents. A D What is the solution to the equation Z Z 3 5 6? A,,, D 5, 5. Which equation represents a line perpendicular to a line that passes through (, ) and (, 5)? A D Solve 5 z for. A 5 z 5 z 5 z D 5 z 83

2 7. Simplif 3"8 "3. A 5 " D " 8. A spinner is divided into 5 equal sections labeled A,,, D, E. You spin the spinner twice. What is the probabilit ou land on a vowel both times? A D 5 0. Mand works part-time to earn mone for a trip. The amount she saves after working hours is given b the equation How much does Mand earn per hour? A $7.50 $3.50 $0 D $7.50. Epress the following sentence in equation form. Five times the difference of a number and is equal to the quotient of the same number and 6. A ( ) Multipl ( )( 3). A D 8 6 5( ) 5 6 D 5( ) 5 6. Simplif " 3? "8 3. A 6 " 3 " 3 " D 3 " 8

3 3. Simplif ( 3 ). A D What tpe of function is f () 5 3? A eponential linear quadratic D none of the above. The graph of which equation is shown? O 3 7. Solve the equation 3 5. A,,, D, A 5ZZ 3 5 ZZ 3 5 Z 3Z D 5 Z 3Z 5. What is the solution of the sstem e ? A (, 5) (0, ) (, ) D (, 0) 8. What is the solution to the equation 5 9 3? A 7 D 85

4 9. Which of the following is the best estimate of an equation of a line of best fit for the scatter plot below? 6 A D A baseball team is choosing new uniforms. The can choose from black, blue, white, and gra pants. The can choose from red, blue, green, and white shirts. How man different combinations of a pants and shirts are possible? A 8 6 D 6. Which list is in order from least to greatest? A 5, ",,,, "5. Multipl 3 5 3? 5 3 A D 60? A square-shaped area has sides measuring 5"9 m. What is the area of the square? A 5 m 80 m 5 m D 05 m. A student has scores of 73, 8, 9, and 78. What score must the student earn on the fifth test in order to have an average score of 85? A D 99 5,, ",,, "5 5, ",,, "5, D, ", 5,,, "5 86

5 Short Response 5. Eplain wh the following question ma be biased. Do ou agree that more of the high school budget should be spent on the softball team than on the basketball team? 6. The area of a rectangle is 6 5. The width is. What is the length? 7. Graph the inequalit, Graph the function f () 5. 87

6 Etended Response 9. A ball is thrown directl upward from a height of 30 feet with an initial velocit of 6 feet per second. The equation h 5 6t 6t 30 gives the height h after t seconds. Part A How long does it take for the ball to reach its maimum height? Show or eplain our work. Part What is the maimum height of the ball? Show or eplain our work. 30. Refer to the table below Part A Make a scatter plot of the data. Part Estimate an equation of the line of best fit. 88

7 End-of-ourse Assessment Part II: alculator Permitted Multiple hoice Read each question. Then write the letter of the correct answer on our paper. 3. The length of the hpotenuse of a right triangle is 6 inches. One of the legs measures 0 inches. What is the length of the other leg? A 6 inches 8 inches inches D 8 inches 3. Write the epression using onl positive eponents A D Simplif (3 ) ( 3). A D A bag contains 5 blue, 3 red, and 8 green marbles. You choose a marble, do not replace it, and then choose another. What is the probabilit that both marbles are red? A D Which function does the table represent? 5 A D

8 36. Which of the following is the graph of 5 Z Z? 37. Which of the following is the graph of the solution to the inequalit 5. 9? A A D O 38. In a sample of 50 randoml selected students, 3 students chose comed as their favorite tpe of movie. ased on this data, what is the best estimate of how man of the 890 students in the school would NOT choose comed as their favorite tpe of movie? D O A 95 students 00 students 850 students D 965 students 39. What is the solution to the equation Z Z 5? A 5, 7 5, 5 5, 3 D 5, 7 O 0. How does the graph of 5 3 differ from that of 5 3? A The graph is translated unit left. The graph is translated unit down. The graph is reflected across the -ais. D The graph is reflected across the -ais. 90

9 . You deposit $75 in an account that pas % interest compounded quarterl. How much will ou have in the account after ears? A $8. $89.50 $0.73 D $ The length of the base of a triangle is more than twice its height. The area of the triangle is 8 in.. What is the length of the base of the triangle? A 3 inches inches 7 inches D 9 inches. The graph of which inequalit is shown? A. 5 $ 5, 5 D # 5 3. The length of a rectangle is 3 more than twice its width. The perimeter of the rectangle is centimeters. What is the length of the rectangle? A 6 cm 3 cm 5 cm D 9 cm O 5. What is the solution of the sstem e 5 5 3? A (, 3) (, 5) (3, ) D (3, ) 6. What is the solution to the equation 3 5? A D 7. What is the solution to the inequalit 9 #, 5? A 5 #, #, 3 $.3 D 5 $. 9

10 8. Solve the equation 5 8. A 3, 3, 3, D 3, 9. A clinder has a volume of 35p ft 3. Its height is 5 feet. What is its diameter? A 3 feet.5 feet 6 feet D 9 feet 50. What is the slope of the line through the points (3, ) and (5, 8)? A D 5 5. What is 8 feet per minute in inches per hour? A 3.6 inches per hour 0 inches per hour 90 inches per hour D,960 inches per hour 53. Which point is in the solution set for.? A (, ) (0, ) (0, ) D (, 0) 5. What is the verte of the graph of the function f () 5 5? A (, 5) (, 7) (, 9) D (7, ) 5. How man was can ou arrange the letters in the word MATH? A D 56 9

11 Short Response 55. The ages of the members of a hiking club are 7, 8,, 8, 3, 36, 3, and 5. A new member who is 5 ears old joins the club. In general, describe how this will affect the mean, median, mode, and range of the ages of the club. 56. What is the factored form of 6 3? Show or eplain our work. 57. One angle of an obtuse triangle is four times the first angle, while the third angle is 30 less than the first angle. What are the degree measures of the three angles? Show or eplain our work. 58. What are the zeros of the function f () 5 6? Show or eplain our work. 93

12 Etended Response 59. Marco has a combination of 0 nickels and dimes for a total of $.5. Part A Write a sstem of equations ou could use to determine the number of each tpe of coin Marco has. Part How man of each tpe of coin does Marco have? Show or eplain our work. 60. A map uses a scale of 0.5 in.: 5 miles. Part A What is the actual distance between two towns if the are 5 inches apart on the map? Show or eplain our work. Part What is the distance between two towns on the map if the actual distance between them is 75 miles? Show or eplain our work. 9

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