Math 120 MyMathLab Homework chp 1-3
UPDATED Exam Questions and
CORRECT Answers
Briefly describe the Understand-Solve-Explain approach to problem solving, giving examples of
things that should be considered in each step.
What is the "Understand" step of this part of the problem solving approach? - CORRECT
ANSWER - The "Understand" step is to think about what the problem asks to be determined.
What does the "Solve" step of this part of the problem solving approach? - CORRECT
ANSWER - The "Solve" step is to carry out the required steps and calculations.
What are units? Describe how units can help to check answers and solve problems. Give
examples.
What are units? - CORRECT ANSWER - Units are words that describe what is being
measured or counted.
Describe how units can help to check the answers and solve problems. Give examples. -
CORRECT ANSWER - Consider a box with the side lengths in inches. The volume of the box
would be calculated in cubic inches. The key word "cube or cubic" in this context means that the
unit inches is raised to the third power. The mathematical symbol to represent the unit of the
volume of the box is
"in ^3."
Decide whether the following statement makes sense or does not make sense. Explain your
reasoning.
I drove at a speed of 35 miles for the entire trip.
Choose the correct answer below. - CORRECT ANSWER - The statement does not make
sense because miles is not a unit of speed.
,Decide whether the following statement makes sense (or is clearly true) or does not make sense
(or is clearly false). Explain your reasoning.
To figure out how long an airplane will take to reach Beijing, divide the distance to Beijing by
the airplane's speed. - CORRECT ANSWER - The statement makes sense because time is
equal to distance divided speed.
Evaluate the following expressions.
2/5 x 5/9. 1/4 + 5/8 - CORRECT ANSWER - 2/9 7/8
Write as a fraction in lowest terms.
.68 - CORRECT ANSWER - 17/25
Write each of the following as a common fraction.
. The common fraction for 8.5
(Simplify your answer.) - CORRECT ANSWER - 17/2
The common fraction for
4.091 - CORRECT ANSWER - 4091/1000
Convert the following fractions to decimal form.
(Round to the nearest thousandth as needed.) - CORRECT ANSWER - 3/5=0.6
The decimal form of 1/10
(Round to the nearest thousandth as needed.) - CORRECT ANSWER - .1
Write out the three steps of the Understand-Solve-Explain process when answering the following
question.
,How fast does Earth rotate? Note that in one full rotation of Earth, a point on the equator travels
about 25,000 miles in 24 hours. - CORRECT ANSWER - The speed
What is the speed of the Earth? - CORRECT ANSWER - 1041.7 miles per hour.
Explain why the speed of the Earth makes sense. Choose the correct answer below. - CORRECT
ANSWER - speed= distance/time=
25,000 miles/24hours
How much will a person pay for
14.7
pounds of bananas at a price of
$2.41
per pound? - CORRECT ANSWER - The price the person will pay is
35.43
dollars. (Round to the nearest cent.)
Complete parts (a) through (c) below.
a.
A warehouse is 65 yards long, 32 yards wide, and 7 yards high. What is the area of the
warehouse floor? If the warehouse is filled to half its height with tightly packed boxes, what is
the volume of the boxes?
b.
A room has a rectangular floor that measures 27 feet by 13 feet and a flat 8-foot ceiling. What is
the area of the floor and how much air does the room hold?
c.
A grain silo has a circular base with an area of 155 square feet and is 23 feet tall. What is the
total volume? - CORRECT ANSWER - a) The area of the warehouse floor is 2080yd2.
(Type an integer or a decimal.)
The volume of the boxes in the warehouse is
, 7280^2yd cubed .
b. The area of the floor is
351^2
ft squared .
The amount of air the room can hold is
2808ft^3 cubed .
c. The volume of the grain silo is
3565^3ft cubed .
Identify the units of the following quantities. State the units mathematically and in words.
Your average speed on a long walk, found by dividing distance traveled in milesmiles by time
elapsed in minutes. - CORRECT ANSWER - mi/min
What are the units in words? - CORRECT ANSWER - miles per minute
Consider the following exam question and student solution. Determine whether the solution is
correct. If it is not correct, write a note to the student explaining why it is wrong and give a
correct solution.
Exam question: You can buy a 34-pound bag of flour for $66 or you can buy a 1-pound bag for
$0.39. Compare the per pound cost for the large and small bags.
Student solution: The large bag price is
34÷$6=$5.67 per pound, which is much more than the39¢ per pound price of the small bag. -
CORRECT ANSWER - The student's solution is incorrect. The student's division gives an
answer with units of pounds per dollar, but he should seek an answer in dollars per pound. The
answer in dollars per pound is
$. 18
per pound, which is less than the
$0.39
per pound for the smaller bag. (Round to the nearest cent as needed.)
UPDATED Exam Questions and
CORRECT Answers
Briefly describe the Understand-Solve-Explain approach to problem solving, giving examples of
things that should be considered in each step.
What is the "Understand" step of this part of the problem solving approach? - CORRECT
ANSWER - The "Understand" step is to think about what the problem asks to be determined.
What does the "Solve" step of this part of the problem solving approach? - CORRECT
ANSWER - The "Solve" step is to carry out the required steps and calculations.
What are units? Describe how units can help to check answers and solve problems. Give
examples.
What are units? - CORRECT ANSWER - Units are words that describe what is being
measured or counted.
Describe how units can help to check the answers and solve problems. Give examples. -
CORRECT ANSWER - Consider a box with the side lengths in inches. The volume of the box
would be calculated in cubic inches. The key word "cube or cubic" in this context means that the
unit inches is raised to the third power. The mathematical symbol to represent the unit of the
volume of the box is
"in ^3."
Decide whether the following statement makes sense or does not make sense. Explain your
reasoning.
I drove at a speed of 35 miles for the entire trip.
Choose the correct answer below. - CORRECT ANSWER - The statement does not make
sense because miles is not a unit of speed.
,Decide whether the following statement makes sense (or is clearly true) or does not make sense
(or is clearly false). Explain your reasoning.
To figure out how long an airplane will take to reach Beijing, divide the distance to Beijing by
the airplane's speed. - CORRECT ANSWER - The statement makes sense because time is
equal to distance divided speed.
Evaluate the following expressions.
2/5 x 5/9. 1/4 + 5/8 - CORRECT ANSWER - 2/9 7/8
Write as a fraction in lowest terms.
.68 - CORRECT ANSWER - 17/25
Write each of the following as a common fraction.
. The common fraction for 8.5
(Simplify your answer.) - CORRECT ANSWER - 17/2
The common fraction for
4.091 - CORRECT ANSWER - 4091/1000
Convert the following fractions to decimal form.
(Round to the nearest thousandth as needed.) - CORRECT ANSWER - 3/5=0.6
The decimal form of 1/10
(Round to the nearest thousandth as needed.) - CORRECT ANSWER - .1
Write out the three steps of the Understand-Solve-Explain process when answering the following
question.
,How fast does Earth rotate? Note that in one full rotation of Earth, a point on the equator travels
about 25,000 miles in 24 hours. - CORRECT ANSWER - The speed
What is the speed of the Earth? - CORRECT ANSWER - 1041.7 miles per hour.
Explain why the speed of the Earth makes sense. Choose the correct answer below. - CORRECT
ANSWER - speed= distance/time=
25,000 miles/24hours
How much will a person pay for
14.7
pounds of bananas at a price of
$2.41
per pound? - CORRECT ANSWER - The price the person will pay is
35.43
dollars. (Round to the nearest cent.)
Complete parts (a) through (c) below.
a.
A warehouse is 65 yards long, 32 yards wide, and 7 yards high. What is the area of the
warehouse floor? If the warehouse is filled to half its height with tightly packed boxes, what is
the volume of the boxes?
b.
A room has a rectangular floor that measures 27 feet by 13 feet and a flat 8-foot ceiling. What is
the area of the floor and how much air does the room hold?
c.
A grain silo has a circular base with an area of 155 square feet and is 23 feet tall. What is the
total volume? - CORRECT ANSWER - a) The area of the warehouse floor is 2080yd2.
(Type an integer or a decimal.)
The volume of the boxes in the warehouse is
, 7280^2yd cubed .
b. The area of the floor is
351^2
ft squared .
The amount of air the room can hold is
2808ft^3 cubed .
c. The volume of the grain silo is
3565^3ft cubed .
Identify the units of the following quantities. State the units mathematically and in words.
Your average speed on a long walk, found by dividing distance traveled in milesmiles by time
elapsed in minutes. - CORRECT ANSWER - mi/min
What are the units in words? - CORRECT ANSWER - miles per minute
Consider the following exam question and student solution. Determine whether the solution is
correct. If it is not correct, write a note to the student explaining why it is wrong and give a
correct solution.
Exam question: You can buy a 34-pound bag of flour for $66 or you can buy a 1-pound bag for
$0.39. Compare the per pound cost for the large and small bags.
Student solution: The large bag price is
34÷$6=$5.67 per pound, which is much more than the39¢ per pound price of the small bag. -
CORRECT ANSWER - The student's solution is incorrect. The student's division gives an
answer with units of pounds per dollar, but he should seek an answer in dollars per pound. The
answer in dollars per pound is
$. 18
per pound, which is less than the
$0.39
per pound for the smaller bag. (Round to the nearest cent as needed.)
