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Nine from some number is four.

x 9 = 4 size 12{x - 9=4} {}

Five less than some quantity is eight.

x 5 = 8 size 12{x - 5=8} {}


Translate each phrase or sentence to a mathematical expression or equation.

A quantity less twelve.

x 12 size 12{x - "12"} {}

Six more than an unknown number.

A number minus four.

x 4 size 12{x - 4} {}

A number plus seven.

A number increased by one.

x + 1 size 12{x+1} {}

A number decreased by ten.

Negative seven added to some number.

7 + x size 12{ - 7+x} {}

Negative nine added to a number.

A number plus the opposite of six.

x + 6 size 12{x+ left ( - 6 right )} {}

A number minus the opposite of five.

A number minus the opposite of negative one.

x 1 size 12{x - left [ - left ( - 1 right ) right ]} {}

A number minus the opposite of negative twelve.

Eleven added to three times a number.

3 x + 11 size 12{3x+"11"} {}

Six plus five times an unknown number.

Twice a number minus seven equals four.

2 x 7 = 4 size 12{2x - 7=4} {}

Ten times a quantity increased by two is nine.

When fourteen is added to two times a number the result is six.

14 + 2 x = 6 size 12{"14"+2x=6} {}

Four times a number minus twenty-nine is eleven.

Three fifths of a number plus eight is fifty.

3 5 x + 8 = 50 size 12{ { {3} over {5} } x+8="50"} {}

Two ninths of a number plus one fifth is forty-one.

When four thirds of a number is increased by twelve, the result is five.

4 3 x + 12 = 5 size 12{ { {4} over {3} } x+"12"=5} {}

When seven times a number is decreased by two times the number, the result is negative one.

When eight times a number is increased by five, the result is equal to the original number plus twenty-six.

8 x + 5 = x + 26 size 12{8x+5=x+"26"} {}

Five more than some number is three more than four times the number.

When a number divided by six is increased by nine, the result is one.

x 6 + 9 = 1 size 12{ { {x} over {6} } +9=1} {}

A number is equal to itself minus three times itself.

A number divided by seven, plus two, is seven­teen.

x 7 + 2 = 17

A number divided by nine, minus five times the number, is equal to one more than the number.

When two is subtracted from some number, the result is ten.

x 2 = 10 size 12{x - 2="10"} {}

When four is subtracted from some number, the result is thirty-one.

Three less than some number is equal to twice the number minus six.

x 3 = 2 x 6 size 12{x - 3=2x - 6} {}

Thirteen less than some number is equal to three times the number added to eight.

When twelve is subtracted from five times some number, the result is two less than the original number.

5 x 12 = x 2 size 12{5x - "12"=x - 2} {}

When one is subtracted from three times a num­ber, the result is eight less than six times the original number.

When a number is subtracted from six, the result is four more than the original number.

6 x = x + 4 size 12{6 - x=x+4} {}

When a number is subtracted from twenty-four, the result is six less than twice the number.

A number is subtracted from nine. This result is then increased by one. The result is eight more than three times the number.

9 x + 1 = 3 x + 8 size 12{9 - x+1=3x+8} {}

Five times a number is increased by two. This result is then decreased by three times the num­ber. The result is three more than three times the number.

Twice a number is decreased by seven. This re­sult is decreased by four times the number. The result is negative the original number, minus six.

2 x 7 4 x = x 6 size 12{2x - 7 - 4x= - x - 6} {}

Fifteen times a number is decreased by fifteen. This result is then increased by two times the number. The result is negative five times the original number minus the opposite of ten.

Exercises for review

( [link] ) 8 9 size 12{ { {8} over {9} } } {} of what number is 2 3 size 12{ { {2} over {3} } } {} ?

3 4 size 12{ { {3} over {4} } } {}

( [link] ) Find the value of 21 40 + 17 30 size 12{ { {"21"} over {"40"} } + { {"17"} over {"30"} } } {} .

( [link] ) Find the value of 3 1 12 + 4 1 3 + 1 1 4 size 12{3 { {1} over {"12"} } +4 { {1} over {3} } +1 { {1} over {4} } } {} .

8 2 3 size 12{8 { {2} over {3} } } {}

( [link] ) Convert 6 . 11 1 5 size 12{6 "." "11" { {1} over {5} } } {} to a fraction.

( [link] ) Solve the equation 3 x 4 + 1 = 5 size 12{ { {3x} over {4} } +1= - 5} {} .

x = 8 size 12{x= - 8} {}

Questions & Answers

find the 15th term of the geometric sequince whose first is 18 and last term of 387
Jerwin Reply
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
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
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, Contemporary math applications. OpenStax CNX. Dec 15, 2014 Download for free at http://legacy.cnx.org/content/col11559/1.6
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