Algebra Questions

K With aging body fat increases and muscle mass declines The line graphs show the percent body fat in adult females and males as they age from 25 to 75 years Use this information to complete parts a through c below CE a Find an estimate for the percent body fat in 75 year old males Type a whole number b At what age does the percent body fat in males reach a maximum years old Type a whole number What is the percent body fat for that age Type a whole number c At what age do males have 23 body fat years old Type a whole number Percent Body Fat 40 36 32 28 24 20 15 Percent Body Fat in Adults 25 35 45 Age Females Males 55 65 75 oo

Match the story with the correct graph As the leak in the pipe became worse the liquid flowed faster and faster Choose the graph below that best illustrates the story OA Amount of liquid Time OB Amount of liquid Time O C Time O D Time

points reflected across a line the shape of a reflected figure and reflections appearing in a tessellation or mosaic Question 1 Imagine reflecting triangle ABC across line MN Then answer the questions about the reflected figure

41 B 1 2 3 4 3 The cylindrical mixing barrel on a cement truck measures 4 yards long and has a radius of 0 8 yards How much cement can the truck hold in its mixing barrel 4 A rectangular fish tank measures 24 inches by 10 inches by 10 inches How much water can the tank hold M 5 7 5 6 7 8 9 10 11 12 zoom in 00 O volume length

B 1 2 3 4 44 Type a response 5 6 7 8 9 10 11 12 10 If New York is 32 degrees what is the temperature in Celsius

11 Use the formula from above to find the Interest rate 1 54 P 450 t 2 years r 6 7

7 Person time A sample of 100 healthy men was followed for the development of prostate cancer They were followed for different amounts of time 20 men were followed for 5 years and then developed prostate cancer 10 men were followed for 1 year and then were lost to follow up The remaining men were followed for 10 years and never developed prostate cancer Calculate the number of person years of observation accrued by this population 8 The incidence rate of a non fatal disease is 400 100 000 person years People usually have the disease for an average of 3 years at which time the disease resolves spontaneously Think about which pieces of information you have about this disease and any equations we might have learned that link these pieces of information hint see

5 In 2019 there were 4 120 new cases of breast cancer diagnosed among women in Alabama and 510 new cases diagnosed among women in Alaska Based on these data is it accurate to say that the incidence rate of breast cancer is higher in Alabama than Alaska Why or why not

Total Number of Persons Who Ate Each Specified Combination of Food Items at Ben s Steakhouse Ate porterhouse steak Did not eat porterhouse steak Ate porterhouse steak Ate prime rib Did not eat porterhouse steak 172 418 Total Number of Persons Who Ate Each Specified Combination of Food Items at Ben s Steakhouse and Who Later Became Sick with Gastrointestinal Symptoms Ate prime rib Did not eat prime rib 145 Did not eat prime rib 139 231 105 182 30 1 Using the data provided above calculate the gastrointestinal GI illness attack rate in persons who ate only porterhouse steak and did not eat prime rib Be sure to show your work No work no credit 2 Using the data provided above calculate the gastrointestinal GI illness attack rate in persons who ate only prime rib and did not eat porterhouse steak Be sure to show your work No work no credit

3 ch lerinnen und Sch ler Dieses Jahr sind es no 895 Sch lerinnen und Sch ler Wie viele Sch lerinnen und Sch ler sind das weniger LEG CEN obywa S 19097ba No 19 1024 895 1126 datbly ahmon von 2684 Euro und Ausgaben von 1986 Euro

Factor completely Then solv h x 27 12x y4

Estimate the product by rounding the numbers so that the resulting arithmetic can easily be performed by hand or in your head Then use a calculator to perform the computation How reasonable i your estimate when compared to the actual answer 62 of 811 754 The estimated product is Type an integer

rect graph The hazardous liquid oozed more and more slowly Choose the graph below that best illustrates the story O A Amount of liquid Time OB Time Time

Obtain an estimate for the following computation by rounding the numbers so that the resulting arithmetic can easily be performed by hand or in your head Then use a calculator to perform the computation How reasonable is your estimate when compared to the actual answer 30 45 16 406 An estimate of the difference is Type a whole number C

1 point Choose the system of equations that best represents the situation I have 30 coins all nickels dimes and quarters worth 4 60 There are two more dimes than quarters How many of each kind of coin do I have n d q 30 05n 10d 25g 4 60 d 2 g 05n 10d 25g 30 05n 10d 25g 4 60 25g 2 10d n d q 4 60 05n 10d 25g 30 q 2 d n d q 30 05n 10d 25g 4 60 q 2 d

Choose the system of equations that best represents the situation below The sum of two numbers is 25 and their difference is 7 Find the two numbers x y 25 x y 7 x y 18 x y 25 x y 7 x y 25 x y 7 Previous 3

2 1 point Solve the system of equations using any method x y 2 3x 3y 6 O infinite solutions 0 6 no solution 6 0

4 1 point The solution to the system is 3 4 3x 2y 1 4y 7 3x True False

Choose the correct answer below Points 0 of 1 Choose which reasoning process is shown in the following example Explain your answer An HMO does a follow up study on 826 randomly selected patients given a flu shot None of these people became seriously ill with the flu The study concludes that all HMO patients be urged to get a flu shot in order to prevent a serious case of the flu OA It is inductive reasoning because a general conclusion is drawn based on specific observations OB It is deductive reasoning because a general conclusion is drawn based on specific observations Save OC It is inductive reasoning because the flu is epidemic If someone does not take the flu shot there is a great possibility for that person to catch a serious case of the flu OD It is deductive reasoning because additional information may prove that other patients may not have taken the flu shot and still did not catch a serious case of the flu

K Question 4 1 1 11 The next number is Identify a pattern in the given list of numbers Then use this pattern to find the next number More than one pattern might exist so it is possible that there is more than one correct answer 37 31 25 19 13 HW Score 0 0 of 11 points O Points 0 of 1 C Sav

Identify the reasoning process induction or deduction Explain your answer The data in the graph are from a random sample of 1200 full time four year undergraduate college students on 100 campuses The bar chart shows the percentage of students identifying the greatest problem on campus We can conclude that there is a high probability that approximately 15 of all full time four year college students believe that drug abuse is the greatest problem on campus 50 40 30 20 10 0 The Greatest Problems on Campus B C A A Alcohol Abuse B Cost of Education C Student Loan Debt D Lack of Financial Aid E Drug Abuse F Drunk Driving Select the correct answer below OA This is an example of deductive reasoning because a general conclusion is reached based on a specific example OB This is an example of inductive reasoning because a specific conclusion is reached from general facts OC This is an example of deductive reasoning because a specific conclusion is reached from general facts OD This is an example of inductive reasoning because a general conclusion is reached based on a specific example E F

Determine whether the statement makes sense or does not make sense and explain your reasoning I used the 2000 data shown in the bar graph to conclude inductively that by 2030 online classes will not be perceived as equal in value to those taken in a classroom Percentage of College Students 80 70 60 50 40 30 20 10 0 Comparing Online Classes wth Those Taken in a Classroom 30 Equal Educational Value 62 Unequal Educational Value 8 No Response Points 0 of 1 Choose the correct answer below Save OA The statement does not make sense because it is not possible to arrive at a general conclusion based on observations of one specific example OB The statement makes sense because it is possible to provide a specific conclusion from one or more general statements OC The statement does not make sense because it is not possible to provide a specific conclusion from one or more general statements OD The statement makes sense because it is possible to arrive at a general conclusion based on observation of a specific example

18 1 point Elsa works at the China Emporium on Saturdays packing dishes for shipment She receives 12 cents for each piece she packs successfully and is fined 18 cents for each piece she breaks If she handles 188 pieces and is paid 20 16 she must have broken 8 pieces True False

3 1 point The bill for five glasses of apple juice and four salads is 9 50 but the total for four glasses of apple juice and five salads is 10 30 What would the be the bill for a glass of juice and a salad not enough information to determine 2 20 1 30 0 70 Next

13 1 point Solve the system of equations using any method 2x 4y 11 3x 6y 17 1 3 no solution infinite solutions 0 0

15 1 point Solve the system of equations by elimination 4b 13c 24 12b5c 16 Hint When you have variables that are not x and y put them in alphabetical order in your ordered pair EX b c 2 2 4 1 2 no solution

14 1 point There is no solution to the system 3x 5y 20 2x 5y 20 True False Previous

12 1 point Solve the system of equations by elimination 3x 2y 16 5x 2y 8 0 0 0 0 O 3 2 3 25 2 5 2 1

10 1 point Solve the system of equations by substitution y 3x 7 6x 2y 12 infinite solutions 1 4 no solution 2 13

point Based on the system of equations graphed below what can you conclude about the two lines 2 43 2 1 0 2 3 No solution since the lines are parallel with the same slope One solution since the lines will intersect at some point The system of equations has infinite solutions No solution since the lines are perpendicular and they have opposite reciprocal slopes

9 1 point Solve the system of equations by substitution 3y 6x 24 8 2x y no solution 2 12 0 8 infinite solutions

1 1 point Based on the table below Taxi Cab B has the greater rate of change Taxi Cab Taxi Cab Miles Driven 10 15 20 25 True False A 25 35 45 55 B 15 27 39 51

1 point Which situation below would represent a negative rate of change John s parents put 40 on his school account for lunch Each day he pays 3 for lunch Let y represent the amount of money John has after x days in his school account Judy is babysitting after school and charges 20 a day Each day she gets paid she puts half of what she earns in a savings account Let y represent the amount of money Judy has in her bank account after x days John s situation would have a negative rate of change Both situations would have a negative rate of change Judy s situation would have a negative rate of change Not enough information 0000

2 1 point The table below shows how the cost of peaches change as the number of pounds change What is the rate of change Pounds of Total Peaches Cost 1 1 35 2 2 70 3 4 05 4 5 40 2 70 per pound 5 40 per pound 4 05 per pound 1 35 per pound

Find a basis for the subspace spanned by the given vectors What is the dimension of the subspace 5 7 16 2 18 3 5 3 6 3 A basis for the subspace is given by Use a comma to separate vectors as needed

Show that Eno Pn cos 0 csc Hint sin 1 cos x 2

ctions Place each number below in the smallest set in which it belongs For mple 1 is a real number a rational number and an integer so we place it in the gers box but not inside the whole numbers or natural numbers 7 3 25 1 1 3 TE 2 175 0 7 Natural numbers Whole numbers Integers 2 2 3 3 1 3 1000 0 00005 YT pl 2 14 2

Given A 2 3 and B a 4 if B is the midpoint of AC then find the x coordinates of C 3 5 1

K Select the choices that correctly complete the sentence below Consider the place value chart for the number 8 732 464 Millions period hund tens ones 8 Thousands period hund tens 3 7 ones 2 Ones period hund 4 tens ones 6 4 In order to round 8 732 464 to the nearest thousand we look at the thousands digit which is rounded Thus 8 732 464 rounded to the nearest thousand is The digit to the right of the thousands digit is so we the dign

Round the following decimal to the given place value 12 23978 to the nearest ten The decimal 12 23978 rounded to the nearest ten is Type a whole number or a decimal

Part 1 of 2 a Estimate the sum 5962 7793 b Based on your estimation in part a does an exact sum of 11 755 seem reasonable a The estimate for the sum is

Round the following decimal to the given place value 346 324 to the nearest whole number The decimal 346 324 rounded to the nearest whole number is Type a whole number

Round the decimal to the given place value 41 70483 nearest thousandth 41 70483 rounded to the nearest thousandth is

Round the decimal to the nearest tenth 0 79 0 79 rounded to the nearest tenth is 0

Determine the place value of the digit in the given whole number 86 074 777 the 0 Choose the correct answer below Ten millions Millions O Hundred thousands O Ten thousands

Find the place value of the underlined digit in the decimal 84 606 Choose the correct answer below O tenths O ones O hundredths O thousandths O tens

Determine the place value of the digit 3 in the whole number 3587 Choose the correct answer below O tens O hundreds Othousands O ones

Determine the place value of the digit 7 in the whole number 5271 Choose the correct answer below hundreds O tens O ones O thousands

Identify the place value of the digit 8 in the decimal number 417 584 Choose the correct answer below O thousandths O hundredths O tenths O ones

Express the given interval as an inequality in terms of x and select the graph of the interval 5 9 The inequality is