MTH/215T QUANTITATIVE REASONING I The Latest Version A+ Study Guide
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MTH 215T Entire Course http://www.uopstudy.com/mth-215 **********************************************
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.
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http://www.uopstudy.com/ 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
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http://www.uopstudy.com/ 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
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http://www.uopstudy.com/ 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
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http://www.uopstudy.com/ 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? In
6
66
60
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
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http://www.uopstudy.com/ 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 (c) 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%
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http://www.uopstudy.com/ 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
2 1/2
3
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?
45
90
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 10 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
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http://www.uopstudy.com/ 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? In
$72
$22
$56
$28
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http://www.uopstudy.com/ Question 27 0 The price of a sandwich decreases from $8 to $6. What is the percentage decrease in the price of the sandwich? In
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? In
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?
1
3
4
5
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
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http://www.uopstudy.com/ 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.