Math - Others Questions

The total amount of land of some particular countries is approximately 72 000 000 square miles Use the graph to find the area of the Country B The area of the Country B is approximately square miles Country A 25 Country B 20 Country C 16 Country D 14 Country E 5 Country F 13 Country G 7

If this library has 186 000 books find how many books are in the category of reference or other Nonfiction Children s Adult s ficti Reference Other 3

The circle graph to the right shows the percent of the types of books available in a library If the library has 126 000 books find how many books are classified as Adult s fiction The number of books classified as Adult s fiction is Tyne a whole number Adult s ficti Reference Other 2 Children s Nonfiction

The circle graph shows the percent of the land area of the countries of a region Which country is the largest Choose the correct answer below A Country A OC Country C OE Country G OG Country D O B Country B OD Country F O F Country E COL COL Cou Cou Cour Cour Cour

The line graph shows the goals per game average for a sporting series during the years shown Find the average number of goals per game in 1991 The average number of goals per game in 1991 was Round to the nearest tenth as needed Ave of Goals per Game Goals per Game Average 3 8 3 4 3 2 6 2 2 1 8 1979 1987 1995 2003 Year

The following circle graph shows the percent of the types of books available at Midway Memorial Library What percent of books are classified as some type of fiction The poroont FEED Nonfiction 21 Adult s fiction Reference 20 Children s fict Other 2

The list shows the golf scores for an amateur golfer Use this list to complete the frequency distribution table 88 97 75 Class Interval Scores 1733 90 99 75 77 Fill in the missing information 83 98 85 109 Class Frequency Number of Games 109 86 96 108 75 85

The line graph shows the goals per game average for a sporting series during the years shown During what year shown was the average number of goals per game the lowest The average number of gor Ave of Goals per Game Goals per Game Average 3 8 3 2 2 6 1976 1984 1992 2000 Year

The histogram shows the projected ages of householders in the near future How many householders will be 55 64 years old Approximately million householders will be 55 64 years old Round to the nearest million as needed Millions of Households 222252 27 24 21 18 A 15 12 9 6 pwo 3 0 Under 25 34 35 44 45 54 55 64 65 74 Age in Years 25 75 and Over

The histogram shows the number of miles that each adult from a survey of 96 adults drives per week How many adults drive fewer than 100 miles per week There are adults who drive fewer than 100 miles per week Number of Adults 30 25 20 15 10 5 0 0 49 50 99 100 149 150 199 200 249 250 299 Number of Miles Sa

The bar graph shows the number of major storms by month that have made landfall in a region between 1851 and 2012 Approximate the number of hurricanes that made landfall during the month of August During the month of August approximately hurricanes made landfall June July August September October November Hurricanes Making Landfall 0 10 20 30 40 50 60 70 80 90 100 110

The histogram shows the number of miles that each adult from a survey of 106 adults drives per week How many adults drive 150 199 miles per week There are adults who drive 150 199 miles per week Number of Adults 30 25 20 15 10 5 0 0 49 50 99 100 149 150 199 200 249 250 299 Number of Miles

The pictograph shows the annual number of wildfires in a region between 2000 and 2005 Which year of the years shown had the most wildfires The year had the most wildfires 10 000 fires AAA AAL 2000 2001 2002 2003 A 2004 2005 NA Wildfires in a Region Ad AAA

K aph shows the population of the world s largest cities including their suburbs Name the city with the seventh largest population and estimate its population Which city has the seventh largest population O City F O City C City I City D City J O O O City A City B City E City G O City H O O O City City City C City D City Cify F City G City H City City J 0 4 World s Largest Cities TULL 8 12 16 20 24 28 32 36 Population in millions

The pictograph shows last year s fruit production by the top fruit producing regions Which region produced the greatest quantity of fruit Which region produced the greatest quantity of fruit OA The coastal region OC The mountain region O E The lake region Annual Fruit Production in Top Producing Regions Southern Region Central Region Lake Region Mountain Region Northern Region Coastal Region OB The northern region OD The central region OF The southern region 15 million bushels

Solve the system of equations by graphing x y 9 x y 5 Use the graphing tool to graph the system Part 2 of 2 Select the correct choice below and fill in any answer boxes present in your choice OA The solution of the system is Type an ordered pair OB There are infinitely many solutions OC There is no solution 10 Points 0 of 3 10 6 Ay 4

Restaurant industry food and drink sales y in billions of dollars in a certain country from 2008 through 2017 can be approximated by the equation y 3x 4 1x 541 where x is t number of years since 2008 Assume that this trend continues and predict the year in which the restaurant industry food and drink sales will be 1458 billion The year in which the restaurant industry food and drink sales will be 1458 billion is Round to the nearest whole number as needed

A rocket is launched from the top of a 30 foot cliff with an initial velocity of 170 feet per second The height h of the rocket after t seconds is given by the equation h 16t 170t 30 How long after the rocket is launched will it be 20 feet from the ground ta Simplif feet seconds an integer or decimal rounded to the nearest tenth of a second as needed

A large chocolate bar has a base area of 55 62 square feet and its length is 0 5 foot shorter than twice its width Find the length and the width of the bar The width of the bar is Simplify your answer Type feet square feet ounded to one decimal place as needed

Use the quadratic formula to solve the equation Find the exact solutions then approximate these solutions to the nearest tenth 2 x 4x 1 0 C What are the exact solutions Select the correct choice below and fill in any answer boxes in your choice A x 2 3 2 3 Simplify your answer Type each answer as a single fraction using radicals as needed Use a comma to separate answers as needed B The solution is not a real number What are the approximate solutions Select the correct choice below and fill in any answer boxes in your choice OA x Use a comma to separate answers as needed Round to the nearest tenth as needed OB The solution is not a real number

Use the quadratic formula to solve the equation Find the exact solutions then approximate these solutions to the nearest tenth x 7x 2 What are the exact solutions Select the correct choice below and fill in any answer boxes in your choice A 7 57 7 57 2 2 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression Use a comma to separate answers as needed B The solution is not a real number What are the approximate solutions Select the correct choice below and fill in any answer boxes in your choice O A x Use a comma to separate answers as needed Round to the nearest tenth as needed OB The solution is not a real number X

Let A 3 5 7 B 21 30 35 and C 9 3 7 Define r to be the relation from A to B defined by the following zry if and only xly Also let s be the relation from B to C given by s 30 3 30 9 21 3 35 7 Enter each answer below as a list of ordered pairs separated by commas Be sure to not repeat any ordered pairs a Find all the elements in r Answer r 4 b Find all of the elements in the composition rs

B 7 Graph each equation on grid paper Explain the strategy you used a y 2x 7 1 c y x 5 4 e V 100t 6000 f C 10n 95 362 Chapter 6 Linear Functions a O A y y f x 20 2 2 0 b y x 3 5 d y x 4 y y h x 2 4 X b d O 2 6 y 2 N y g x 0 S x y y k x 12 For each graph that follows i Determine its slope and y intercept ii Write an equation to describe the graph then verify the equation iii Use the equation to calculate the value of y when x 10 15 a How can you use the slope intercept form of an equation y mx b to graph the horizontal line y 2 b How can you graph the vertical line x 2 Explain your answers 16 Alun has a part time job working as a bus boy at a local restaurant He earns 34 a night plus 5 of the tips a Write an equation for Alun s total earnings E dollars when the tips are t dollars b What will Alun earn when the tips are 400 Explain your strategy What were the nightly tips when Alun earned

5 Graph the line with each y intercept and slope 1 a y intercept is 1 slope is b y intercept c y intercept 2 is 5 slope is 2 is 4 slope is 4 d y intercept is 0 slope is 22 3

The perimeter of the quadrilateral is 49 centimeters Find the length of each side X 4 X 7 Side one x 7 3x 2 x 2x 2 cm cm

The length of a rectangle is 7 centimeters less than three times its width Its area is 20 square centimeters Find the dimensions of the rectangle The width is and the length is

Write a quadratic equation that has two solutions 9 and 8 Choose the correct answer below O A x 9 x 8 0 O B x x 72 0 O C x 9 x 8 0 OD 9x x 8 0 OE x 9 x 8 0 OF 9x x 8 0

The area of the square is 36 square units Find the length of its sides X The length of each of the square s sides is units 3 units

18 Match each equation with its graph How did you decide on the equation for each graph a y 2x 1 b y 3x 1 1 d y x c y x 1 1 Graph A 4 2 0 2 4 N Graph C 4 2 2 0 X 4 2 Graph B y 20 2 Graph D 2 2 N X X

18 Match each equation with its graph How did you decide on the equation for each graph a y 2x 1 b y 3x 1 1 c y x 1 d y 1 Graph A y 4 2 0 24 Graph C y 2 0 2 X X 2 2 2 N Graph B y Graph D y 2 2 0 2 2 X Wo that

20 Identify the graph below that corresponds to each given slope and y intercept a slope 3 y intercept 2 1 b slope y intercept 2 c slope 3 y intercept 2 1 d slope y intercept 2 Graph A 2 20 3 Graph C y 0 3 X Graph B 4 2 Graph D y

15 a How can you use the slope intercept form of an equation y mx b to graph the horizontal line y 2 b How can you graph the vertical line x 2 Explain your answers

6 Alun has a part time job working as a bus boy at a local restaurant He earns 34 a night plus 5 of the tips a Write an equation for Alun s total earnings E dollars when the tips are t dollars b What will Alun earn when the tips are 400 Explain your strategy c What were the nightly tips when Alun earned 64 Explain your strategy

19 Match each equation with its graph Compare the graphs What do you notice a f x x 4 c f x x 3 Graph A f x 2 20 3 2 Graph C 0 2 f X X b f x x 1 d f x x 1 Graph B f x 4 20 Graph D f x 4 12 2 0 2 X

19 Match each equation with its graph Compare the graphs What do you notice a f x x 4 b f x x 1 c f x x 3 d f x x 1 Graph A Graph B f x 2 0 3 Graph C 0 O f x X x 4 N 0 f x Graph D f x 2 0 2 X

17 Which equation matches each given graph Justify your choice a y x 4 y 4x 1 y x 4 y 4x 1 3 b y x 1 2 y x 1 3x 1 2 y x 1 y I x y 2 3 c y x 7 3 y x I y 7x 7 5 3 5 x 7 y 4 2 y f x y 2 20 NO 2 X y h x 2 y g x 24 0 2 do A 8 x

2 For each graph that follows i Determine its slope and y intercept ii Write an equation to describe the graph then verify the equation iii Use the equation to calculate the value of y when x 10

5 Write an equation for the graph of a linear function that a has slope 7 and y intercept 16 3 b has slope and y intercept 5 7 c passes through H 0 3 and has slope 6 16 d has y intercept 8 and slope e passes through the origin and has slope 5

4 An online music site charges a one time membership fee of 20 plus 0 80 for every song that is downloaded a Write an equation for the total cost C dollars for downloading n songs b Jacques downloaded 109 songs What was the total cost c Michelle paid a total cost of 120 How many songs did she download

3 For a service call an electrician charges an 80 initial fee plus 50 for each hour she works a Write an equation to represent the total cost C dollars for thours of work b How would the equation change if the electrician charges 100 initial fee plus 40 for each hour she works

13 This graph represents the height of a float plane above a lake as the plane descends to land h 800 E 600 Height m 400 200 0 h f t 00 4 6 8 Time min 10 a Determine the slope and the h intercept What do they represent b Write an equation to describe the graph then verify the equation c Use the equation to calculate the value of h when t 5 5 min d Suppose the plane began its descent at 700 m and it landed after 8 min i How would the graph change

11 A student said that the equation of this graph is y 3x 4 a What mistakes did the student make b What is the equation of the graph 2 0 N y 2 X y f x

9 The total fee for withdrawing money at an ATM in a foreign country is a 3 50 foreign cash withdrawal fee plus a 2 currency conversion fee Write an equation to represent the total fee F dollars for withdrawing d dollars

4 For each equation identify the slope and y intercept of its graph a y 4x 7 4 c y x 7 1 e y 5x b y x 12 d y 11x f y 3 3 8

Pandora com surveyed a group of subscribers regarding which online music channels they use on a regular basis The following information summarizes their answers 7 listened to rap heavy metal and alternative rock 10 listened to rap and heavy metal 13 listened to heavy metal and alternative rock 12 listened to rap and alternative rock 17 listened to rap 24 listened to heavy metal 22 listened to alternative rock 9 listened to none of these three channels a How many people were surveyed b How many people listened to either rap or alternative rock c How many listened to heavy metal only

y 42 Y 15 1

Question 13 The phasor representation of the function20cos 5t 10 is 2j430 A B 20j430 C 52100 D 100 100

Hand draw the Bode Diagram for the following transfer function Show all intermediate steps 20 points 10 s 10 H s 3s

Question 5 The expression A 0 46 204 Solution A 6 j5 3 j4 j 8 j3 10 4260 B 46 19j is equal to C 0 46 204 D None of thes 6 j5 3 j4 j 7 81 40 52 53 1 90 8 j3 102260 8 54220 6 10 260 0 464 204

Question 7 If TF 0 increases 20 dB for a 10 fold increase in o how much does it rise for just doubling o