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180 calories per 8 ounces

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90 pounds per 7.5 square inches

90 pounds 7.5 square inches

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$612.50 for 35 hours

$612.50 35 hours

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Find Unit Rates

In the following exercises, find the unit rate.

180 calories per 8 ounces

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90 pounds per 7.5 square inches

12 pounds/sq.in.

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$612.50 for 35 hours

$17.50/hour

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Find Unit Price

In the following exercises, find the unit price.

Highlighters: 6 for $2.52

$0.42

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An office supply store sells a box of pens for $11 . The box contains 12 pens. How much does each pen cost?

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Anna bought a pack of 8 kitchen towels for $13.20 . How much did each towel cost? Round to the nearest cent if necessary.

$1.65

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In the following exercises, find each unit price and then determine the better buy.

Shampoo: 12 ounces for $4.29 or 22 ounces for $7.29 ?

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Vitamins: 60 tablets for $6.49 or 100 for $11.99 ?

$0.11, $0.12; 60 tablets for $6.49

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Translate Phrases to Expressions with Fractions

In the following exercises, translate the English phrase into an algebraic expression.

a adults to 45 children

a adults 45 children

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the ratio of 4 y and the difference of x and 10

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the ratio of 19 and the sum of 3 and n

19 3 + n

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Simplify and Use Square Roots

Simplify Expressions with Square Roots

In the following exercises, simplify.

Estimate Square Roots

In the following exercises, estimate each square root between two consecutive whole numbers.

Approximate Square Roots

In the following exercises, approximate each square root and round to two decimal places.

Simplify Variable Expressions with Square Roots

In the following exercises, simplify. (Assume all variables are greater than or equal to zero.)

Use Square Roots in Applications

In the following exercises, solve. Round to one decimal place.

Art Diego has 225 square inch tiles. He wants to use them to make a square mosaic. How long can each side of the mosaic be?

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Landscaping Janet wants to plant a square flower garden in her yard. She has enough topsoil to cover an area of 30 square feet. How long can a side of the flower garden be?

5.5 feet

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Gravity A hiker dropped a granola bar from a lookout spot 576 feet above a valley. How long did it take the granola bar to reach the valley floor?

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Accident investigation The skid marks of a car involved in an accident were 216 feet. How fast had the car been going before applying the brakes?

72 mph

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Chapter practice test

Write six and thirty-four thousandths as a decimal.

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Write 1.73 as a fraction.

1 73 100

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Round 16.749 to the nearest tenth hundredth whole number

  1. 16.7
  2. 16.75
  3. 17

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Write the numbers 4 5 , −0.1 , 0.804 , 2 9 , −7.4 , 0.21 in order from smallest to largest.

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In the following exercises, simplify each expression.

0.96 ÷ ( −12 )

−0.08

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24 ÷ ( 0.1 + 0.02 )

200

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In the following exercises, solve.

Three friends went out to dinner and agreed to split the bill evenly. The bill was $79.35 . How much should each person pay?

$26.45

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A circle has radius 12 . Find the circumference and area. [ Use 3.14 for π .]

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The ages, in months, of 10 children in a preschool class are:
55 , 55 , 50 , 51 , 52 , 50 , 53 , 51 , 55 , 49
Find the mean median mode

  1. 59
  2. 51.5
  3. 55

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Of the 16 nurses in Doreen’s department, 12 are women and 4 are men. One of the nurses will be assigned at random to work an extra shift next week. Find the probability a woman nurse will be assigned the extra shift. Convert the fraction to a decimal.

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Find each unit price and then the better buy.
Laundry detergent: 64 ounces for $10.99 or 48 ounces for $8.49

64 ounces for $10.99 is the better buy

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In the following exercises, simplify.

Estimate 54 to between two whole numbers.

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Yanet wants a square patio in her backyard. She has 225 square feet of tile. How long can a side of the patio be?

15 feet

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Questions & Answers

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
how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
Maciej
characteristics of micro business
Abigail
for teaching engĺish at school how nano technology help us
Anassong
Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
NANO
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
s.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
NANO
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?
s.
how to fabricate graphene ink ?
SUYASH Reply
for screen printed electrodes ?
SUYASH
What is lattice structure?
s. Reply
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
Privacy Information Security Software Version 1.1a
Good
A soccer field is a rectangle 130 meters wide and 110 meters long. The coach asks players to run from one corner to the other corner diagonally across. What is that distance, to the nearest tenths place.
Kimberly Reply
Jeannette has $5 and $10 bills in her wallet. The number of fives is three more than six times the number of tens. Let t represent the number of tens. Write an expression for the number of fives.
August Reply
What is the expressiin for seven less than four times the number of nickels
Leonardo Reply
How do i figure this problem out.
how do you translate this in Algebraic Expressions
linda Reply
why surface tension is zero at critical temperature
Shanjida
I think if critical temperature denote high temperature then a liquid stats boils that time the water stats to evaporate so some moles of h2o to up and due to high temp the bonding break they have low density so it can be a reason
s.
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

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Source:  OpenStax, Prealgebra. OpenStax CNX. Jul 15, 2016 Download for free at http://legacy.cnx.org/content/col11756/1.9
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