MTH 215T MTH215T mth 215t Best Tutorials Guide — onlinehelp123.com

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11 min readApr 18, 2021

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MTH/215T
QUANTITATIVE REASONING I

The Latest Version A+ Study Guide

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MTH 215T Entire Course

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MTH 215T Wk 1 — Using a zyBook- Readings and Assignments

Complete each section of Ch. 1, “What is a zyBook?” You must use this link to earn points.

MTH 215T Wk 1 — Readings and Assignments

Complete each section of Ch. 2, “Numbers in Everyday Life,” and you will learn how adding, subtracting, multiplying, dividing, fractions, and percentages are used in the real world. These skills will be important in the coming weeks.

MTH 215T Wk 2 — Readings and Assignments

Complete each section of Ch. 3, “Wk 2 — Solving Everyday Problems,” and you will review ratio, rates, and unit conversions. The topics in each section build on the skills you learned in Wk 1 and are concepts you will encounter in real life.

MTH 215T Wk 3 — Readings and Assignments

Complete each section of Ch. 4, “Wk 3 — Problem Solving with Shapes,” to learn how to determine perimeter, area, and volume for a variety of shapes. Pay attention to how you can apply these concepts outside of class.

MTH 215T Wk 3 — Midterm Exam

Complete the Midterm Exam. You have one attempt at the exam and will not see the correct answer. So, be sure you review all previous course materials before attempting it.

Question 1

A store in Minnesota advertises that on a holiday, everything is 20% off. A person buys shoes for $40 and socks for $10. In Minnesota there is no tax on shoes or socks. What is the final price?

$20

$40

$50

$30

Question 2

Sarah is planning a party at a party hall. The meal option is $50 per person and includes the hall for free. The hall-only option is $1,500 but allows an external caterer, which charges $30 per person. Sarah plans to invite 40 people. Which is a better cost comparison?

Meal option: $2,700. Hall-only option: $2,000. Hall-only option is cheaper.

Meal option: $1,000. Hall-only option: $3,500. Meal option is cheaper.

Meal option: $3,000. Hall-only option: $1,200. Hall-only option is cheaper.

Meal option: $2,000. Hall-only option: $2,700. Meal option is cheaper.

Question 3

Zoey wants to use her iPad throughout a 6-hour flight. Upon takeoff, she uses the iPad for 2 hours and notices that the battery dropped by 25%, from 100% to 75%. How many total hours can Zoey expect from the iPad on a full battery charge?

10 hours

4 hours

8 hours

6 hours

Question 4

A person is holding two drill bits, one is 7/16 and the other is 25/64, and wants to first drill a hole using the smaller bit. To compare, the person expands 7/16 to 64ths. What is the expanded fraction?

14/64

21/64

24/64

28/64

Question 5

Jules goes on a hike that will last 5 hours total. She brings 12 cups of water. After an hour, she has already drunk 3 cups of water. At that rate, how many cups would Jules need for all 5 hours?

8 cups

15 cups

9 cups

12 cups

Question 6

Duke takes a car in for basic service. The service agent says a few extra repairs are needed, so Duke adds the cost of those repairs mentally, rounding to the nearest 10. What is Duke’s total estimate for the repairs? The costs are as follows:

Wheel alignment: $82

Transmission fluid flush: $157

Cabin air filter: $58

Note: 4 or less rounds down, 5 or more rounds up. For example, 14 becomes 10, while 15 becomes 20.

280

290

300

310

Question 7

Jo is on the phone with a gardener who asks about the square feet of Jo’s backyard. Jo counts 20 steps long and 40 steps wide (with each step being about 3 feet). About how many square feet is the backyard?

120 ft2

360 ft2

800 ft2

7,200 ft2

Question 8

Ryan remembers numbers using images that look somewhat like each number: 0 is a ball, 1 is a stick, 2 is a hanger, 3 is a comb, 4 is a kite, etc. Ryan remembered a 4-digit phone extension with this story: A person uses a hanger to pop a ball, then flies two kites. What number is Ryan likely remembering?

2,044

2,042

2,004

2,204

Question 9

One rule of thumb in the fast-food restaurant business is a “4 times markup”: The price of a food item should be four times the price of the ingredients used in making the item. If the cost of ingredients used in making a taco is 1.5 dollars, what should be the price of the taco?

6 dollars

7.5 dollars

5.5 dollars

4 dollars

Question 10

15 people are expected for a dinner. Three ounces of corn serves one person. A can of corn is nine ounces. How many cans of corn should be bought for the dinner?

18 cans

12 cans

3 cans

5 cans

Question 11

6 people will attend a lunch. 2 cans of juice should be provided per person. Determine the total number of cans of juice required.

12 cans of juice

6 cans of juice

4 cans of juice

3 cans of juice

Question 12

Nik needs to estimate how many books will fit in a bin. Each book is 1 ft tall, 0.5 ft wide, and 0.1 ft thick. The bin is 5 feet wide, 2 feet tall, and 3 feet deep. Based on volume only, about how many books will fit in the bin?

600

Question 13

Convert 2 3/4 to a decimal number.

0.75

1.50

2.3

2.75

Question 14

Mo is on a baseball team and hears that a ball thrown at a 45 degree angle from the ground will travel the furthest distance. How should Mo release the ball for the furthest travel?

Nearly straight ahead, parallel to the ground

About halfway between straight ahead and straight up

About 2/3 of the way straight up

Nearly straight up, directly above his head

Question 15

A couple decides that Sophia will drive the first 3/5 of a trip and Lucas the last 2/5. The trip is 100 miles (the whole trip). How far will Sophia drive?

40 miles

60 miles

20 miles

30 miles

Question 16

The recipe for a fruit smoothie requires 2 cups of fruit per 6 cups of yogurt to maintain a 1/3 ratio. While making the fruit smoothie, Suzy accidentally puts 3 cups of fruit into the pitcher. How many cups of yogurt should be put in the pitcher to maintain the ratio of 1/3?

3 cups

9 cups

1 cup

5 cups

Question 17

A wall is 500 sq. feet. A gallon of paint covers 160 sq. feet. What is an appropriate conversion factor to help determine how many gallons will be needed to paint the wall?

(1 gallon)/(160 sq. feet)

(1 gallon)/(500 sq. feet)

(160 gallon)/(500 sq. feet)

(500 gallon)/(560 sq. feet)

Question 18

Alex invests $2,000 in a company’s stock. After a year, the value of Alex’s stock has increased to $2,500. What rate of return has Alex received?

50%

80%

25%

11%

Question 19

A house is on an 80,000 sq. ft lot. About how many acres is the lot? There are 43,560 square feet in a acre.

1/2 acre

1 acre

1 1/2 acres

2 acres

Question 20

Nik, a social worker for a county, helps county residents who are struggling with different issues. Nik logs the following hours meeting with clients © or doing other work (o):

Mon: 6 c, 4 o

Tue: 8 c, 2 o

Wed: 9 c, 1 o

Thu: 7 c, 3 o

Fri: Off

What percent of time did Nik spend with clients on Thursday?

10%

70%

30%

80%

Question 21

Consider a cookie recipe in which 1 1/2 cups of chocolate chips are needed to make 25 cookies. Lara wants to double the number of cookies. How many cups of chocolate chips should she use?

1 1/2

2 1/2

Question 22

Dana is attaching a shelf to a wall and needs the shelf to be perpendicular to the wall. How many degrees should the shelf be relative to the wall?

180

360

Question 23

A circular garden has a diameter of 12 feet. About how much trim is needed to surround the garden by placing trim on the garden’s circumference?

38 feet

48 feet

144 feet

432 feet

Question 24

A new company president is said to have caused the company “to do a 180.” Before the new president, the company was losing money. What is the company most likely doing under the new president?

Losing a lot more money

Losing a little more money

Losing the same amount of money

Making money rather than losing

Question 25

A self storage center is a storage room that is 8 feet long, 6 feet wide, and 10 feet high. What is the volume of the room?

24 cubic feet

48 cubic feet

140 cubic feet

480 cubic feet

Question 26

TravelEz sells dollars at a rate of ($1.40)/(1 euro) and buys dollars at a rate of ($1.80)/(1 euro). At the beginning of a trip, Sophie exchanged $540 to get 300 euros. At the end of the trip she is left with 40 euros, so she exchanges the 40 euros back to dollars. How many dollars will Sophie get in exchange?

$72

$22

$56

$28

Question 27

The price of a sandwich decreases from $8 to $6. What is the percentage decrease in the price of the sandwich?

33%

25%

20%

14%

Question 28

A box is 24 inches long, 10 inches wide, and 10 inches deep. About how many cubic feet is the box?

1.4 ft3

2.8 ft3

240 ft3

2,400 ft3

Question 29

A person buys 28 bottles of orange juice for a party. The store clerk offers cardboard carrying cases for the bottles, each case holding 6 bottles. How many cases are needed, assuming each case should be filled as much as possible and the person will not be carrying any bottles outside of a case?

Question 30

Many gas stations give a discount for using cash instead of a credit card. A gas station gives a discount of 10 cents per gallon. William plans to pump 14 gallons. How much will William save by paying cash instead of credit card?

10 cents

24 cents

100 cents

140 cents

MTH 215T Wk 4 — Readings and Assignments

Complete each section of Ch. 5, “Wk 4 — Basic Algebra.” You will learn how to solve for unknown values (also known as a variable) and how to write & solve equations to represent these values. Your skills from Wks 1–2 will be used heavily this week.

MTH 215T Wk 5 — Readings and Assignments

Complete each section of Ch. 6, “Wk 5 — Everyday Math Examples,” and you will learn about personal finance, determining health care costs, paying utilities, and other ways that you can apply the skills you learned in this course to your own life.

MTH 215T Wk 5 — Final Exam

Complete the Final Exam. You have one attempt at the exam and will not see the correct answer. So, be sure you review all previous course materials before attempting it.

MTH/215T: Quantitative Reasoning I

Wk 5 — Final Exam

Question 1

Sal bought 2 shirts and a hat. Sal remembers each shirt was $10, and the total was $50. Which equation helps answer the question: How much were the hat?

10 + x = 50

10 + 10 + x = 50

x = 50 + 10

10 + 10 = 50 + x

Question 2

Lee put $10,000 into a stock market index mutual fund that grew at an average of 7% per year for 10 years. About how much is in Lee’s mutual fund account after 10 years? Ignore compounding.

$10,070

$10,700

$17,000

$70,000

Question 3

A family has a phone plan that includes 4 GB of data per month. 10 days into a 30-day month, the family has used 1 GB. At that rate, how many GB will the family use for the entire month?

2 GB

3 GB

4 GB

5 GB

Question 4

A mirror should be centered on a wall. The mirror is 4 feet wide and the wall is 20 feet wide. Which equation helps determine the distance x on each side of the mirror?

x + 4 + x = 20

4 + x + 4 = 20

x = 20 + 4 + 4

4 = 20 + x + x

Question 5

Renting a car costs $30 per day, or $600 per month. Renting daily is cheaper for a few days, but after how many days are the two options equal (after which renting monthly is cheaper)?

Question 6

A tennis lesson lasts from 9:00 a.m. to 10:00 a.m., and should include an 8-min break with equal time before and after the break. At what time should the break start?

9:22 a.m.

9:24 a.m.

9:26 a.m.

9:28 a.m.

Question 7

A restaurant bill is $80. Juan leaves a $20 tip. What percent tip is that?

15%

20%

25%

30%

Question 8

Flo sets a goal of walking 10,000 total steps per day. Flo’s normal routine involves walking 4,000 steps per day. If Flo walks 100 steps per minute, how many extra minutes should she walk per day beyond her normal routine?

100

140

Question 9

A particular extension cord can support up to 8 amps. Mo has an iron whose label states 1,200 watts and wonders if the iron can be plugged into the extension cord. If watts are converted to amps by dividing by 120, how many amps does the iron use?

1 amp

10 amps

100 amps

120 amps

Question 10

After several years of working, Katy has savings of $100,000. If she invests that $100,000 in a savings fund that adds 5% each year, about how much will her savings account have after 20 years? Ignore compounding and taxes, and assume Katy puts no additional money into savings.

$105,000

$120,000

$150,000

$200,000

Question 11

Ken wants a $1,000 TV/sound system. He can’t afford that amount, so he uses a credit card with 20% annual interest. If he only pays the interest each month on that credit card debt, about how much will he pay in interest in 4 years?

$200

$400

$600

$800

Question 12

A hiker is told to carry 2 cups of water for every 10 minutes spent walking. The hiker plans to hike for 60 minutes. How many cups of water should the hiker carry?

6 cups

10 cups

12 cups

20 cups

Question 13

A goal is to get at least 10% of daily calories from polyunsaturated fats as are found in various nuts, oils, and fish. One serving of walnuts (about 15 pieces) has about 20 g of polyunsaturated fat. Each fat gram has 9 calories. About what percent of daily calories does one serving of walnuts provide, assuming a 2,000-calorie diet?

4.5%

18%

Question 14

A family’s monthly utility costs are: phone $200, electric $100, cable TV $100, water/gas $50, internet $50. By eliminating cable, by what percent does the family reduce total utility cost?

20%

25%

30%

50%

Question 15

A shirt is on sale for 20% off. Sandy paid $8 for the shirt. What was the shirt’s regular price?

$10

$12

$16

$20

Question 16

Kim’s business earns $10,000 per month. Kim’s non-employee expenses are $3,000 per month. If Kim wants $2,000 in profit per month, how many employees can Kim have if each employee costs $1,000 per month?

Question 17

A laptop computer consumes about 20 watts of electricity per hour when operating. At 10 cents per kilowatt-hour, how much does a laptop cost to operate for 5 hours?

1 cent

50 cents

200 cents

1,000 cents

Question 18

At the start of a year, company XYZ’s stock is $40 per share. At the end, the company’s stock is $60 per share. What was the stock price’s rate of return (percent increase)?

20%

40%

50%

60%

Question 19

What is wrong with the following equation: 4 + (10 / 5) = 6–2

Equations should not involve expressions on both sides.

The equation mixes different operations like +, /, and -.

The left side’s expression is longer than the right side.

The two sides do not evaluate to the same value.

Question 20

Maria has a 30-minute work break. During the break, she’ll walk 3 minutes to another floor, say hello to 4 different friends spending equal time with each, and walk back for 3 minutes. How long can she spend with each friend?

4 min

5 min

6 min

7 min