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In the following exercises, simplify using the Distributive Property.

−3 ( 6 m 1 )

−18 m + 3

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1 3 ( 15 n 6 )

5 n 2

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( a 4 ) ( 6 a + 9 )

−5 a 13

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4 ( x + 3 ) 8 ( x 7 )

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Systems of Measurement

1.1 Define U.S. Units of Measurement and Convert from One Unit to Another

In the following exercises, convert the units. Round to the nearest tenth.

A floral arbor is 7 feet tall. Convert the height to inches.

84 inches

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A picture frame is 42 inches wide. Convert the width to feet.

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Kelly is 5 feet 4 inches tall. Convert her height to inches.

64 inches

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A playground is 45 feet wide. Convert the width to yards.

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The height of Mount Shasta is 14,179 feet. Convert the height to miles.

2.7 miles

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Shamu weights 4.5 tons. Convert the weight to pounds.

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The play lasted 1 3 4 hours. Convert the time to minutes.

105 minutes

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How many tablespoons are in a quart?

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Naomi’s baby weighed 5 pounds 14 ounces at birth. Convert the weight to ounces.

94 ounces

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Trinh needs 30 cups of paint for her class art project. Convert the volume to gallons.

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Use Mixed Units of Measurement in the U.S. System.

In the following exercises, solve.

John caught 4 lobsters. The weights of the lobsters were 1 pound 9 ounces, 1 pound 12 ounces, 4 pounds 2 ounces, and 2 pounds 15 ounces. What was the total weight of the lobsters?

10 lbs. 6 oz.

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Every day last week Pedro recorded the number of minutes he spent reading. The number of minutes were 50, 25, 83, 45, 32, 60, 135. How many hours did Pedro spend reading?

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Fouad is 6 feet 2 inches tall. If he stands on a rung of a ladder 8 feet 10 inches high, how high off the ground is the top of Fouad’s head?

15 feet

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Dalila wants to make throw pillow covers. Each cover takes 30 inches of fabric. How many yards of fabric does she need for 4 covers?

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Make Unit Conversions in the Metric System

In the following exercises, convert the units.

Donna is 1.7 meters tall. Convert her height to centimeters.

170 centimeters

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Mount Everest is 8,850 meters tall. Convert the height to kilometers.

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One cup of yogurt contains 488 milligrams of calcium. Convert this to grams.

0.488 grams

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One cup of yogurt contains 13 grams of protein. Convert this to milligrams.

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Sergio weighed 2.9 kilograms at birth. Convert this to grams.

2,900 grams

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A bottle of water contained 650 milliliters. Convert this to liters.

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Use Mixed Units of Measurement in the Metric System

In the following exerices, solve.

Minh is 2 meters tall. His daughter is 88 centimeters tall. How much taller is Minh than his daughter?

1.12 meter

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Selma had a 1 liter bottle of water. If she drank 145 milliliters, how much water was left in the bottle?

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One serving of cranberry juice contains 30 grams of sugar. How many kilograms of sugar are in 30 servings of cranberry juice?

0.9 kilograms

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One ounce of tofu provided 2 grams of protein. How many milligrams of protein are provided by 5 ounces of tofu?

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Convert between the U.S. and the Metric Systems of Measurement

In the following exercises, make the unit conversions. Round to the nearest tenth.

Majid is 69 inches tall. Convert his height to centimeters.

175.3 centimeters

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A college basketball court is 84 feet long. Convert this length to meters.

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Caroline walked 2.5 kilometers. Convert this length to miles.

1.6 miles

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Lucas weighs 78 kilograms. Convert his weight to pounds.

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Steve’s car holds 55 liters of gas. Convert this to gallons.

14.6 gallons

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A box of books weighs 25 pounds. Convert the weight to kilograms.

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Convert between Fahrenheit and Celsius Temperatures

In the following exercises, convert the Fahrenheit temperatures to degrees Celsius. Round to the nearest tenth.

20° Fahrenheit

–6.7° C

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In the following exercises, convert the Celsius temperatures to degrees Fahrenheit. Round to the nearest tenth.

–12° Celsius

10.4° F

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Chapter practice test

Write as a whole number using digits: two hundred five thousand, six hundred seventeen.

205,617

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Find the prime factorization of 504.

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Find the Least Common Multiple of 18 and 24.

72

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Combine like terms: 5 n + 8 + 2 n 1 .

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In the following exercises, evaluate.

| x | when x = −2

−2

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Translate to an algebraic expression and simplify: twenty less than negative 7.

−7 20 ; 27

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Monique has a balance of $18 in her checking account. She deposits $152 to the account. What is the new balance?

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Round 677.1348 to the nearest hundredth.

677.13

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Convert 4 5 to a decimal.

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Convert 1.85 to a percent.

185%

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Locate 2 3 , −1.5 , and 9 4 on a number line.

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In the following exercises, simplify each expression.

4 + 10 ( 3 + 9 ) 5 2

99

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−5.8 + ( −4.7 )

−10.5

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( 0.07 ) ( 31.95 )

2.2365

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6 x + ( −4 y ) + 9 x + 8 y

15 x + 4 y

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A movie lasted 1 2 3 hours. How many minutes did it last? (1 hour = 60 minutes)

100 minutes

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Mike’s SUV is 5 feet 11 inches tall. He wants to put a rooftop cargo bag on the the SUV. The cargo bag is 1 foot 6 inches tall. What will the total height be of the SUV with the cargo bag on the roof? (1 foot = 12 inches)

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Jennifer ran 2.8 miles. Convert this length to kilometers. (1 mile = 1.61 kilometers)

4.508 km

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Questions & Answers

how does Neisseria cause meningitis
Nyibol Reply
what is microbiologist
Muhammad Reply
what is errata
Muhammad
is the branch of biology that deals with the study of microorganisms.
Ntefuni Reply
What is microbiology
Mercy Reply
studies of microbes
Louisiaste
when we takee the specimen which lumbar,spin,
Ziyad Reply
How bacteria create energy to survive?
Muhamad Reply
Bacteria doesn't produce energy they are dependent upon their substrate in case of lack of nutrients they are able to make spores which helps them to sustain in harsh environments
_Adnan
But not all bacteria make spores, l mean Eukaryotic cells have Mitochondria which acts as powerhouse for them, since bacteria don't have it, what is the substitution for it?
Muhamad
they make spores
Louisiaste
what is sporadic nd endemic, epidemic
Aminu Reply
the significance of food webs for disease transmission
Abreham
food webs brings about an infection as an individual depends on number of diseased foods or carriers dully.
Mark
explain assimilatory nitrate reduction
Esinniobiwa Reply
Assimilatory nitrate reduction is a process that occurs in some microorganisms, such as bacteria and archaea, in which nitrate (NO3-) is reduced to nitrite (NO2-), and then further reduced to ammonia (NH3).
Elkana
This process is called assimilatory nitrate reduction because the nitrogen that is produced is incorporated in the cells of microorganisms where it can be used in the synthesis of amino acids and other nitrogen products
Elkana
Examples of thermophilic organisms
Shu Reply
Give Examples of thermophilic organisms
Shu
advantages of normal Flora to the host
Micheal Reply
Prevent foreign microbes to the host
Abubakar
they provide healthier benefits to their hosts
ayesha
They are friends to host only when Host immune system is strong and become enemies when the host immune system is weakened . very bad relationship!
Mark
what is cell
faisal Reply
cell is the smallest unit of life
Fauziya
cell is the smallest unit of life
Akanni
ok
Innocent
cell is the structural and functional unit of life
Hasan
is the fundamental units of Life
Musa
what are emergency diseases
Micheal Reply
There are nothing like emergency disease but there are some common medical emergency which can occur simultaneously like Bleeding,heart attack,Breathing difficulties,severe pain heart stock.Hope you will get my point .Have a nice day ❣️
_Adnan
define infection ,prevention and control
Innocent
I think infection prevention and control is the avoidance of all things we do that gives out break of infections and promotion of health practices that promote life
Lubega
Heyy Lubega hussein where are u from?
_Adnan
en français
Adama
which site have a normal flora
ESTHER Reply
Many sites of the body have it Skin Nasal cavity Oral cavity Gastro intestinal tract
Safaa
skin
Asiina
skin,Oral,Nasal,GIt
Sadik
How can Commensal can Bacteria change into pathogen?
Sadik
How can Commensal Bacteria change into pathogen?
Sadik
all
Tesfaye
by fussion
Asiina
what are the advantages of normal Flora to the host
Micheal
what are the ways of control and prevention of nosocomial infection in the hospital
Micheal
what is inflammation
Shelly Reply
part of a tissue or an organ being wounded or bruised.
Wilfred
what term is used to name and classify microorganisms?
Micheal Reply
Binomial nomenclature
adeolu
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Source:  OpenStax, Elementary algebra. OpenStax CNX. Jan 18, 2017 Download for free at http://cnx.org/content/col12116/1.2
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