7.5 Sample test: rational expressions

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A sample test covering rational expressions.

$\frac{x-3}{{x}^{2}+9x+\text{20}}-\frac{x-4}{{x}^{2}+8x+\text{15}}$

Simplify
• B

What values of $x$ are not allowed in the original expression?
• C

What values of $x$ are not allowed in your simplified expression?

$\frac{2}{{x}^{2}-1}+\frac{x}{{x}^{2}-2x+1}$

Simplify
• B

What values of $x$ are not allowed in the original expression?
• C

What values of $x$ are not allowed in your simplified expression?

$\frac{{4x}^{3}-9x}{{x}^{2}-3x-\text{10}}×\frac{{2x}^{2}-\text{20}x+\text{50}}{{6x}^{2}-9x}$

Simplify
• B

What values of $x$ are not allowed in the original expression?
• C

What values of $x$ are not allowed in your simplified expression?

$\frac{\frac{1}{x}}{\frac{x-1}{{x}^{2}}}$

Simplify
• B

What values of $x$ are not allowed in the original expression?
• C

What values of $x$ are not allowed in your simplified expression?

$\frac{{6x}^{3}-{5x}^{2}-5x+\text{34}}{2x+3}$

• A

Solve by long division.
• B

If $f\left(x\right)={x}^{2}$ , find $\frac{f\left(x+h\right)-f\left(x\right)}{h}$ . Simplify as much as possible.

$\frac{x-1}{2x-1}=\frac{x+7}{7x+4}$

• A

Solve for $x$ .
• B

Test one of your answers and show that it works in the original expression. (No credit unless you show your work!)

Extra credit:

I am thinking of two numbers, $x$ and $y$ , that have this curious property: their sum is the same as their product . (Sum means “add them”; product means “multiply them.”)

• A

Can you find any such pairs?
• B

To generalize: if one of my numbers is $x$ , can you find a general formula that will always give me the other one?
• C

Is there any number $x$ that has no possible $y$ to work with?

what are the products of Nano chemistry?
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
Preparation and Applications of Nanomaterial for Drug Delivery
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I only see partial conversation and what's the question here!
what about nanotechnology for water purification
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
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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?
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What is meant by 'nano scale'?
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
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what is differents between GO and RGO?
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if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
Hafiz
what is Nano technology ?
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?
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
why we need to study biomolecules, molecular biology in nanotechnology?
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
why?
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?
research.net
kanaga
sciencedirect big data base
Ernesto
how did you get the value of 2000N.What calculations are needed to arrive at it
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