Basic Math Questions and Answers

Problem ID PRABMQ3D Find the two whole numbers that are the closest to 42 2019 ustrativa thematics All Rights Reserved

Find the value of each variable that makes the equation true Be prepared to explain your reasoning 23 25 29 2019 Illustrative Mathematics All Rights Reserved Type your answer below as a number example 5 3 1 4 1 2 or 3 2

What do you notice What do you wonder 300 20 9 3 100s 2 10s 9 1s 3 10 2 10 9 100

Find the area of square ABCD 3 D 2 2 A 3 C 3 2 2 B 3 Do not include units square units in your answer 2019 Illustrative Mathematics All Rights Reserved Type your answer below as a number example 5 3 1 4 1 2 or 3 2

Select all polynomial expressions that are equivalent to 6x4 4x 7x 5x 8 2019 Illustrative Mathematics All Rights Reserved Select all that apply 16x 10 O6x 5 4x 4 7x 3 5x 2 8x O6x 4 4x 3 7x 2 5x 8 08 5x 7x 2 4x 3 6x 4 8 5x 7x 2 4x 3 6x 4

K Listed in the accompanying table are heights in of mothers and their first daughters The data pairs are from a journal kept by Francis Galton Use the listed paired sample data and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal Use a 0 05 significance level to test the claim that there is no difference in heights between mothers and their first daughters COLL Mother Daughter 67 0 65 0 65 5 63 0 65 0 63 0 60 0 65 0 63 0 68 0 66 0 64 0 65 2 63 0 65 0 63 0 61 7 65 5 63 5 70 5 In this example Hd is the mean value of the differences d for the population of all pairs of data where each individual difference d is defined as the daughter s height minus the mother s height What are the null and alternative hypotheses for the hypothesis test Ho Hd 0 in H Hd 0 in Type integers or decimals Do not round Identify the test statistic t 0 25 Round to two decimal places as needed Identify the P value P value 0 80 Round to three decimal places as needed What is the conclusion based on the hypothesis test Since the P value is greater than the significance level do not reject the null hypothesis There is not sufficient evidence to warrant rejection of the claim that there is no difference in heights between mothers and their first daughters

The Carters bought a 343 000 townhome They made a down payment of 48 000 and took out a mortgage for the rest Over the course of 30 years they made monthly payments of 1768 68 on their mortgage until it was paid off a What was the total amount they ended up paying for the townhome including the down payment and monthly payments b How much interest did they pay on the mortgage 0 X

Express the solution graphically of 2 x 3 10 2 1 2 0 6 3 6 10 5 11 12 8 13 9

6 Evaluate Express each answer to three decimal places you must use radical form in your solution a 24006 b 9 c 1024

Quantity A X x 1 Quantity B 0 09 Quantity A is greater Quantity B is greater The two quantities are equal The relationship cannot be determined from the information given

Quantity A The median of the five numbers 2 5 x 9 and 11 Quantity A is greater Quantity B is greater 5 x 9 Quantity B The median of the five numbers 2 5 7 9 and 11 The two quantities are equal The relationship cannot be determined from the information given

2 3 4 Quantity A Each integer in a certain list of 50 positive integers is less than 5 and a frequency distribution of the integers in the list is shown An integer is to be chosen at random from the 50 integers in the list 20 10 5 The probability that the integer chosen will be less than 3 Quantity B 1 2 Quantity A is greater Quantity B is greater O The two quantities are equal The relationship cannot be determined from the information given

8 2 120 square units D 15 In the figure shown above all the corners form right angles What is the area of the figure in square units 31 square units 62 square units 102 square units

10 Choose the revision that best corrects punctuation errors in this sentence Dr Franklin along with his colleagues wrote the dissertation using three sources journals studies and anecdotal data OA Dr Franklin along with his colleagues wrote the dissertation using three sources journals studies and anecdotal data OB Dr Franklin along with his colleagues wrote the dissertation using three sources journals studies and anecdotal data OC Dr Franklin along with his colleagues wrote the dissertation using three sources Journals studies and anecdotal data OD Dr Franklin along with his colleagues wrote the dissertation using three sources journals studies and anecdotal data

1 Literary analyses should OA Be written in the past tense OB Use informal language OC Be written in first person point of view D Avoid plot summarization 2 What are important aspects of a strong thesis statement for a college level essay OA Short clear direct provides plenty of background information shows emotion OB Makes an argument explains sources arguments at length OC Represents the core idea of the paper references important sources critics by name explains relationship between sources D Short clear direct makes an argument represents the core idea of the paper 3 When writing a speech what is an effective method for concluding the speech OA Repeating your introduction verbatim B Calling the audience to action OC Telling the audience their opinion is wrong OD Acknowledging the counterargument 4 According to MLA Style 8th edition 2016 a correct Works Cited entry for a book would

9 Which of the following sentences does NOT have effective quote integration OA In Where I Lived and What I Lived For Thoreau states that his retreat to the woods around Walden Pond was motivated by his desire to live deliberately and to face only the essential facts of life OB Thoreau suggests the consequences of making ourselves slaves to progress when he says We do not ride on the railroad it rides upon us OC Thoreau argues that shams and delusions are esteemed for soundest truths while reality is fabulous OD I went to the woods because I wished to live deliberately to front only the essential facts of life and see if I could not learn what it had to teach and not when I came to die discover that I had not lived Thoreau states this to show why he went into the woods 10 Choose the revision that best corrects punctuation errors in this sentence Dr Franklin along with his colleagues wrote the dissertation using three sources journals studies and anecdotal data OA Dr Franklin along with his colleagues wrote the dissertation using three sources journals studies and anecdotal data OB Dr Franklin along with his colleagues wrote the dissertation using three sources journals studies and anecdotal data OC Dr Franklin along with his colleagues wrote the dissertation using three sources Journals studies and anecdotal data OD Dr Franklin along with his colleagues wrote the dissertation using three sources journals studies and anecdotal data

20 What is the best revision of the following passage The sweater is knit The sweater is red The sweater is small The sweater doesn t fit my brother OA The sweater is knit the sweater is red the sweater is small the sweater doesn t fit my brother OB The sweater is knit and it is red and it is small and it doesn t fit my brother OC The small red knit sweater does not fit my brother OD No revision needed 21 All of the following show the purpose of a literary analysis EXCEPT OA To express a writer s personal perspective interpretation judgment or critical evaluation of a work OB To summarize a literary work and provide an outline of plot and character details OC To demonstrate why an author used specific ideas word choices or writing structures to convey their message OD To examine the literary devices word choices or writing structures the author uses within a work 22 Why is audience especially important for technical writing OA It shapes how you condense and present more complex ideas B It determines whether you get paid for your work OC It helps influence what topic you choose OD It isn t any more important than any other style of writing

18 A student is working on a literary analysis of an eighteenth century American writer The student s teacher has encouraged the student to include the author s historical context as a part of the discussion but the student does not understand what this means Which of the following is a question the tutor could ask the student to help brainstorm for this assignment OA Consider the history of the English language in America What rhetorical devices does the author use in this speech and how have those devices changed over time OB Consider the author s age when this work was first published How many works did he publish in his lifetime and how do we view his works today OC The character of Mrs Briggs is an older reclusive woman How would you describe the author s use of irony in her participation in the festival OD Slavery is a theme in this work Consider when and where the author was born How was slavery perceived in that colony at the time and how would that affect his writing 19 How are sources organized at the end of an essay in all citation formats OA Date of publication OB Alphabetical by the first word in the citation OC Alphabetical by title regardless of location in the citation OD In the order in which they are cited in the essay

Read the following passage and answer question 7 below 1 When one considers the prolific body of works written by Shakespeare one may think of how many of the themes found in his tragedies comedies and sonnets still resonate today 2 It is this very reason that Shakespeare s literary accomplishments is loved by many 3 Conversely because these themes are so universally recognized he is probably one of the most often quoted authors whether by design or not 4 Everybody ought to know some of these phrases they use come from the Bard 5 For whom cannot avoid using a well placed To be or not to be if it fits the situation 6 Even if you think that s the kind of utterance only used by English Lit majors you must admit to having heard All that glitters isn t gold 7 It is widely believed the first use of that term was seen in The Merchant of Venice 8 Granted Shakespeare used the archaic word glisters instead of glitters in his play but hopefully you get my meaning 9 No pun intended 10 Speaking of which Shakespeare is considered the master of puns but that s a whole other story and a new paragraph for another time 7 Which pre writing strategy would this student find LEAST helpful OA Outlining B Freewriting C Clustering OD Journaling

27 What types of information should a student cite in their paper OA No citations within the paper are necessary if the student includes a well developed bibliography or reference list at the end of the paper OB Quotations paraphrases and summaries facts that are common knowledge do not need to be cited OC Quotations and paraphrases only summaries and facts that are common knowledge do not need to be cited OD Quotations only paraphrases summaries and information that is common knowledge are covered by the bibliography or reference list at the end of the paper 28 A student says they are struggling with ASA citation formatting Which of the following is the best approach OA Point out that the requirement must be a typo the instructor almost certainly wants APA format OB Transfer the session to another tutor in the hopes that they will be able to help OC Let the student know that we are not able to help with ASA citations OD Share an academic resource for ASA citations and walk the student through the process of applying that information to some of their sources 29 Which of the following is good practice in academic writing OA Use contractions as often as possible to improve conciseness OB After introducing an author by full name refer to them by first name only in the rest of the paper OC Write in third person OD Use hyperbole to convey the seriousness of ideas

25 A student is working on a short story and their teacher wants them to incorporate more descriptive language How could you help them improve the sentence The sun was hot OA Explain the difference in showing and telling ask open ended questions to prompt the student to use more descriptive language OB Explain that the student should only write about instances of direct experience ask open ended questions to prompt the student to choose an interesting experience OC Prompt the student to increase their use of abstract language by offering sample sentences OD List imagery and sensory detail that you associate with the sun on the board for the student 26 A student is writing an essay arguing that cats make better pets than dogs One of their supporting points is that cats require less time from their owners How could you guide the student in developing this idea OA Have the student estimate the amount of time that cat and dog owners spend caring for their respective pets OB Verify that the student can support the counterargument OC Instruct the student to choose a different topic pets are not a suitable subject for academic writing OD Ask the student about the specific reasons that dogs require more work than cats

During the pre writing phase what should your thesis be like OA Concrete Developing a solid thesis is the first thing you should do and it should not change as you continue in the writing process OB Non existent You shouldn t have any thesis at this point to avoid influencing your later ideas OC Flexible The thesis can and sometimes should change as you develop your ideas but acts like a guide for shaping your ideas OD Inverse Your thesis should start out as the opposite of what you think you ll end up with 24 Which of the following is the correct grammatical rule for writing numbers in text in APA 7th ed format OA Single digit whole numbers should be spelled out with some exceptions OB Numbers greater than nine should be expressed in numeral form with some exceptions OC A number should be written out if it begins a sentence OD All of the above 25 A student is working on a short story and their teacher wants them to incorporate more descriptive language How could you help them improve the sentence The sun was hot OA Explain the difference in showing and telling ask open ended questions to prompt the student to use more descriptive language OB Explain that the student should only write about instances of direct experience ask open ended questions to prompt the student to choose an interesting experience OC Prompt the student to increase their use of abstract language by offering sample sentences OD List imagery and sensory detail that you associate with the sun on the board for the student

Read the following paragraph and answer question 14 and 15 below Gym class and scheduled study halls some may argue are sufficient free periods to eliminate the pressure on high school students But while exercise is a stress reliever physical education class was too structured to allow for enjoyment Activities forced upon students may give them a cardiovascular workout but were still part of a class setting and had specific requirements The atmosphere lacked an element of fun and leisure therefore gym class cannot be the sole opportunity for students to work off stress 14 Which of the following statements best assesses grammar in the paragraph above OA The paragraph is correct and free of errors OB The writer should check comma usage in the paragraph OC The writer should avoid shifting between verb tenses OD The writer should revise awkwardly worded sentences 15 If this passage is the introductory paragraph for a classical argumentative paper what would the refutation section i e counterargument of this paper likely discuss OA The structure of physical education classes OB Exercise as a stress reliever OC Requirements of gym class OD Decreasing time spent in study hall

11 What is a key element of Rogerian style arguments OA Uses forceful language to persuade an antagonistic audience OB Minimizes mutual concerns between the writer and the audience OC Brings up the writer s arguments before the audience s OD Offers a compromise to a problem between the writer and the audience Read the following passage and answer question 12 below The healthcare system may not always be supportive of a woman s childbirth plans according to Joyce Gardner hospital policies and practices including nurseries pacifiers glucose water and feeding schedules actually hinder breastfeeding 311 Hospitals often separate newborns from their mothers placing them in nurseries which contributes to woefully low rates of breastfeeding It should also be noted that if a woman is uneducated in regards to the scientific evidence that exists in favor of breastfeeding she may never question whether such practices as listed above are necessary Ultimately recognizing these messages and replacing the negative with the positive will increase breastfeeding rates in the United States 12 Which of the following sentences is a strong thesis statement for a paper on the topics discussed in the passage above OA Improving breastfeeding education and increasing healthcare support for breastfeeding will increase breastfeeding rates in the United States OB Breastfeeding rates need to increase in the United States Og The healthcare system needs to change to improve child development OD Mothers should avoid breastfeeding their children since the healthcare system does not support breastfeeding

12 Which of the following sentences is a strong thesis statement for a paper on the topics discussed in the passage above OA Improving breastfeeding education and increasing healthcare support for breastfeeding will increase breastfeeding rates in the United States OB Breastfeeding rates need to increase in the United States OC The healthcare system needs to change to improve child development OD Mothers should avoid breastfeeding their children since the healthcare system does not support breastfeeding 13 A student needs to cite two entries by the same author in MLA 8th ed Which option is correct OA Smith John The World as We Know It Elephant Daily Journal 2019 url Trucks Ruin Everything Elephant Daily Journal 2019 url OB Smith John The World as We Know It Elephant Daily Journal 2019 url Smith John Trucks Ruin Everything Elephant Daily Journal 2019 url OC Smith John The World as We Know It Elephant Daily Journal 2019 url Trucks Ruin Everything Elephant Daily Journal 2019 url OD Smith John The World as We Know It Elephant Daily Journal 2019 url Trucks Ruin Everything Elephant Daily Journal 2019 url

Answer question 8 based on the passage below 1 By conducting some local web searches in your city it is possible to find local online apartment search web sites 2 These sites can be incredibly useful 3 They show locations throughout the city list prices amenities the size sometimes floor plans and notes on the general surrounding neighborhood 4 When first beginning to look for an apartment it is important to get a sense of where the properties are and what the price ranges are 5 Spending hours and hours researching an apartment that looks attractive can become a large loss of time once it s clear that the apartment is too expensive or too far away 6 It s also a good idea to consult sites that supply plenty of pictures so that you can see the apartment for yourself before ever setting up a showing https www pdesas org ContentWeb Content Content 22461 Lesson 20Plan 8 Which sentence is the best topic sentence for this paragraph OA Sentence 6 OB Sentence 4 OC Sentence 2 OD Sentence 1

Must newspapers comply with fair housing advertising laws OA Yes newspapers must make sure real estate advertisements comply with fair housing law B No only newspapers that are run by the federal government such as the Federal Registry are required to follow government practices OC Only newspapers that carry real estate advertising every day rather just weekend real estate sections must comply with federal rules OD No under the First Amendment to the Constitution newspapers are free to print whatever they d like

Must a buyer s agent show a very small house to a family with many children who all live together OA Yes the familial status section of fair housing law requires that families be given the option to buy OB Yes it is not the real estate agent s decision to make regarding how many people should live in one house OC The buyer s agent should determine the number bedrooms and their size and calculate whether the family would fit in the house OD No if local occupancy standards are prohibitive the house need not be shown

7 Evaluate the following using only your knowledge of fractions exponents laws and other methods taught in class You must show work to prove your answer Simply answering the question will not give you any marks 0 25 05

5 Simplify Write each expression with only positive exponents 1 2 a a xa b e e S

5 Given isosceles ANGI with legs HI and GI and median IJ find the mzHIJ 20 degrees 40 degrees 70 degrees 140 degrees

2 Write each power with only positive exponents a x 2 b d b 3 xb 2

Express the given decimal as a percent 0 8889

Determine the answer to the question Thirty three percent of what number is 132

Express the given traction as a percent 1 80

mine the answer to the question 7 of 34 is what number Simplify your answer Type an integer or a decimal 7 of 34 is C

Write the decimal 3 94 as a percent 3 94

Ray Flagg took out a 60 month fixed installment loan of 12 000 to open a new pet store He paid no money dow and began making monthly payments of 221 Ray s business does better than expected and instead of making h 30th payment Ray wishes to repay his loan in full Complete parts a through c Click the icon to view the table of interest rates TEEN a Determine the APR of the installment loan APR 4 b How much interest will Ray save by paying off the loan early Use the actuarial method Interest saved Round to the nearest cent

Determine the monthly payment for the installment loan Annual Number of Percentage Payments per Time in Year n Years t Amount Financed P Rate r 14 000 5 5 Click the icon to view the partial APR table The monthly payment is S Round to the nearest cent as needed DEE

Determine the amplitude the period the phase shift and the vertical shift of the function y 3 sin 4 x 50 2 with respect to y sin x O a O b amplitude period 90 phase shift left 50 vertical shift up 2 units O O amplitude 3 period 90 phase shift right 50 vertical shift up 2 units c amplitude 3 d period 180 phase shift left 50 vertical shift up 2 units amplitude 2 period 90 phase shift right 50 vertical shift up 3 units

1 Write as a single power Express your answers with positive exponents a 5 5 b 999 993 c 82 d eje

2 Brad and Amir visit the grocery store They discover that hamburger buns and hamburger patties are packaged in different quantities Hamburger buns come in packages of 8 Hamburger patties come in packages of 6 4 12 18 29 30 36 42 44 154

Jack Fitzgerald wishes to purchase a used car that has a cash price of 12 000 The installment terms include a down payment of 3 000 and 48 monthly payments of 224 a What finance charge will Jack pay b What is the APR to the nearest half percent The finance charge is Annual Percentage Rate Table for Monthly Payment Plans Finance charge per 100 of amount financed Number 7 50 8 00 8 50 9 00 9 50 of Payments 36 48 11 98 12 81 13 64 14 48 15 32 16 06 17 18 18 31 19 45 20 59

In a mathematics class 70 students received an A on the third test which is 175 of the students who received an A on the second test How many students received an A on the second test On the second test students received an A

Express the given percent as a decimal 1 4

Use PMT P Ic nt to determine the payment amount Round to the nearest dollar 1 1 The price of a home is 270 000 The bank requires a 5 down payment and two points at the time of closing The cost of the home is financed with a 30 year fixed rate mortgage a 7 5 a Find the required down payment b Find the amount of the mortgage c How much must be paid for the two points at closing d Find the total interest over 30 years to the nearest dollar OA a down payment 13 500 b amount of mortgage 256 500 c points paid at closing 5 130 d total interest over 30 years 388 980 OC a down payment 13 500 b amount of mortgage 256 500 c points paid at closing 5 400 d total interest over 30 years 375 480 OB a down payment 13 500 b amount of mortgage 256 500 c points paid at closing 5 130 d total interest over 30 years 645 480 OD a down payment 8 100 b amount of mortgage 261 900 c points paid at closing 5 400 d total interest over 30 years 388 980

Which option is the best revision of this sentence from an email to a teacher I m trying to study for my math exam but I m totally losing my mind OA I am studying for my math exam and I have a few questions B I m studying all the things for my math exam and I m confused OC Btw I m studying for my math exam and I am like OD I am experiencing acute difficulties preparing for my math examination

Which phrase should be removed from this business e mail To all sales department employees At the end of November we enter the holiday season This is the busiest season of the year for our company All of us must be prepared to work extra hours until the end of the year and that means every single last one of us By working as a team toward a common goal we can make this season a success Thank you in advance for all of your hard work A to work extra hours until the end of the year B and that means every single last one of us C At the end of November D By working as a team toward a common goal

The word is is usually followed by the part Percent is the easiest piece to find because it will have a percent sign 16 is 25 of what number The part is The whole is The percent is Solve 21 128 04100 Out of the 25 students in Mrs Archer s class 19 have a pet What percent of the students in Mrs Archer s eless have a pet 100 The part is The whole is The percent is 100 Country music makes up 75 of Ruben s music library If Jackson s mom limits the amount of time he is allowed to he has downloaded 90 country music songs how many songs does Ruben have in his music library play video games After Jackson plays for 9 minutes his mom tells him that he used up 30 of his time How many more minutes can Jackson play before he uses all of his time The part is The whole is The percent is Solve Solve The part is The whole is The percent is Solve 100

O 6 of 14 awarded cored Required information List all numeric answers using numbers Example 1 10 100 Ordered Humalog Mix 75 25 inject 35 units subcut 3 times a day 15 minutes before meals for 60 days On hand Humalog Mix 75 25 10 mL vials How many vials should be dispensed Assume that partial vials are not dispensed Round up your answer to nearest whole number 11 vials