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This module is from Fundamentals of Mathematics by Denny Burzynski and Wade Ellis, Jr. This module is a proficiency exam to the chapter "Ratios and Rates." Each problem is accompanied with a reference link pointing back to the module that discusses the type of problem demonstrated in the question. The problems in this exam are accompanied by solutions.

Proficiency exam

( [link] ) Compare 4 cassette tapes to 7 dollars.

4 cassette tapes 7 dollars size 12{ { {"4 cassette tapes"} over {"7 dollars"} } } {}

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( [link] ) What do we call a comparison, by division, of two unlike denominate numbers?

Rate

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For problems 3 and 4, express each ratio or rate as a fraction.

( [link] ) 11 to 9

11 9 size 12{ { {"11"} over {9} } } {}

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( [link] ) 5 televisions to 2 radios

5 televisions 2 radios size 12{ { {"5 televisions"} over {"2 radios"} } } {}

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For problems 5 and 6, write each ratio or rate in the form " a to b ."

( [link] ) 8 maps 3 people size 12{ { {"8 maps"} over {"3 people"} } } {}

8 maps to 3 people

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( [link] ) 2 psychologists 75 people size 12{ { {"2 psychologists"} over {"75 people"} } } {}

two psychologists to seventy-five people

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For problems 7-9, solve each proportion.

( [link] ) 8 x = 48 90 size 12{ { {8} over {x} } = { {"48"} over {"90"} } } {}

15

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( [link] ) x 7 = 4 28 size 12{ { {x} over {7} } = { {4} over {"28"} } } {}

1

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( [link] ) 3 computers 8 students = 24   computers x   students size 12{ { {"3 computers"} over {"8 students"} } = { {"24"`"computers"} over {x" students"} } } {}

64

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( [link] ) On a map, 4 inches represents 50 miles. How many miles does 3 inches represent?

37 1 2 size 12{"37" { {1} over {2} } } {}

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( [link] ) An acid solution is composed of 6 milliliters of acid to 10 milliliters of water. How many milliliters of acid are there in an acid solution that is composed of 3 milliliters of water?

1.8

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( [link] ) The odds that a particular event will occur are 9 to 7. If the event occurs 27 times, how many times would you predict it will it not occur?

21

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For problems 13 and 14, convert each decimal to a percent.

( [link] ) 3. 7 _

377 7 9 size 12{"377" { {7} over {9} } %} {} %

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For problems 15 and 16, convert each percent to a decimal.

For problems 17-19, convert each fraction to a percent.

( [link] ) 42 5 size 12{ { {"42"} over {5} } } {}

840%

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( [link] ) 1 8 size 12{ { {1} over {8} } } {}

12.5%

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( [link] ) 800 80 size 12{ { {"800"} over {"80"} } } {}

1,000%

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For problems 20 and 21, convert each percent to a fraction.

( [link] ) 15%

3 20 size 12{ { {3} over {"20"} } } {}

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( [link] ) 4 27 size 12{ { {4} over {"27"} } } {} %

4 2, 700 or 1 675 size 12{ { {4} over {2,"700"} } " or " { {1} over {"675"} } } {}

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For problems 22-25, find each indicated quantity.

( [link] ) What is 18% of 26?

4.68

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( [link] ) 0.618 is what percent of 0.3?

206

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( [link] ) 0.1 is 1.1% of what number?

9 . 09 ¯ size 12{9 "." {overline {"09"}} } {}

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( [link] ) A salesperson makes a monthly salary of $1,000.00. He also gets a commission of 12% of his total monthly sales. If, in a particular month, he sells $5,500.00 worth of merchandise, what is his income that month?

$1,660

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Questions & Answers

what is variations in raman spectra for nanomaterials
Jyoti Reply
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
LITNING Reply
what is a peer
LITNING Reply
What is meant by 'nano scale'?
LITNING Reply
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
Daniel
7hours 36 min - 4hours 50 min
Tanis Reply

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Source:  OpenStax, Fundamentals of mathematics. OpenStax CNX. Aug 18, 2010 Download for free at http://cnx.org/content/col10615/1.4
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