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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?


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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"} } } {}


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


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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"} } } {}


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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?


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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?


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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} } } {}


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


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


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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?


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


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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?


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Questions & Answers

find the 15th term of the geometric sequince whose first is 18 and last term of 387
Jerwin Reply
I know this work
The given of f(x=x-2. then what is the value of this f(3) 5f(x+1)
virgelyn Reply
hmm well what is the answer
how do they get the third part x = (32)5/4
kinnecy Reply
can someone help me with some logarithmic and exponential equations.
Jeffrey Reply
sure. what is your question?
okay, so you have 6 raised to the power of 2. what is that part of your answer
I don't understand what the A with approx sign and the boxed x mean
it think it's written 20/(X-6)^2 so it's 20 divided by X-6 squared
I'm not sure why it wrote it the other way
I got X =-6
ok. so take the square root of both sides, now you have plus or minus the square root of 20= x-6
oops. ignore that.
so you not have an equal sign anywhere in the original equation?
is it a question of log
I rally confuse this number And equations too I need exactly help
But this is not salma it's Faiza live in lousvile Ky I garbage this so I am going collage with JCTC that the of the collage thank you my friends
Commplementary angles
Idrissa Reply
im all ears I need to learn
right! what he said ⤴⤴⤴
what is a good calculator for all algebra; would a Casio fx 260 work with all algebra equations? please name the cheapest, thanks.
Kevin Reply
a perfect square v²+2v+_
Dearan Reply
kkk nice
Abdirahman Reply
algebra 2 Inequalities:If equation 2 = 0 it is an open set?
Kim Reply
or infinite solutions?
The answer is neither. The function, 2 = 0 cannot exist. Hence, the function is undefined.
Embra Reply
if |A| not equal to 0 and order of A is n prove that adj (adj A = |A|
Nancy Reply
rolling four fair dice and getting an even number an all four dice
ramon Reply
Kristine 2*2*2=8
Bridget Reply
Differences Between Laspeyres and Paasche Indices
Emedobi Reply
No. 7x -4y is simplified from 4x + (3y + 3x) -7y
Mary Reply
how do you translate this in Algebraic Expressions
linda Reply
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
Crystal Reply
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
Chris Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
many many of nanotubes
what is the k.e before it land
what is the function of carbon nanotubes?
I'm interested in nanotube
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
what is nano technology
Sravani Reply
what is system testing?
preparation of nanomaterial
Victor Reply
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
Himanshu Reply
good afternoon madam
what is system testing
what is the application of nanotechnology?
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
anybody can imagine what will be happen after 100 years from now in nano tech world
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
silver nanoparticles could handle the job?
not now but maybe in future only AgNP maybe any other nanomaterials
I'm interested in Nanotube
this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
can nanotechnology change the direction of the face of the world
Prasenjit Reply
At high concentrations (>0.01 M), the relation between absorptivity coefficient and absorbance is no longer linear. This is due to the electrostatic interactions between the quantum dots in close proximity. If the concentration of the solution is high, another effect that is seen is the scattering of light from the large number of quantum dots. This assumption only works at low concentrations of the analyte. Presence of stray light.
Ali Reply
the Beer law works very well for dilute solutions but fails for very high concentrations. why?
bamidele Reply
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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