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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

Discuss the differences between taste and flavor, including how other sensory inputs contribute to our  perception of flavor.
John Reply
taste refers to your understanding of the flavor . while flavor one The other hand is refers to sort of just a blend things.
Faith
While taste primarily relies on our taste buds, flavor involves a complex interplay between taste and aroma
Kamara
which drugs can we use for ulcers
Ummi Reply
omeprazole
Kamara
what
Renee
what is this
Renee
is a drug
Kamara
of anti-ulcer
Kamara
Omeprazole Cimetidine / Tagament For the complicated once ulcer - kit
Patrick
what is the function of lymphatic system
Nency Reply
Not really sure
Eli
to drain extracellular fluid all over the body.
asegid
The lymphatic system plays several crucial roles in the human body, functioning as a key component of the immune system and contributing to the maintenance of fluid balance. Its main functions include: 1. Immune Response: The lymphatic system produces and transports lymphocytes, which are a type of
asegid
to transport fluids fats proteins and lymphocytes to the blood stream as lymph
Adama
what is anatomy
Oyindarmola Reply
Anatomy is the identification and description of the structures of living things
Kamara
what's the difference between anatomy and physiology
Oyerinde Reply
Anatomy is the study of the structure of the body, while physiology is the study of the function of the body. Anatomy looks at the body's organs and systems, while physiology looks at how those organs and systems work together to keep the body functioning.
AI-Robot
what is enzymes all about?
Mohammed Reply
Enzymes are proteins that help speed up chemical reactions in our bodies. Enzymes are essential for digestion, liver function and much more. Too much or too little of a certain enzyme can cause health problems
Kamara
yes
Prince
how does the stomach protect itself from the damaging effects of HCl
Wulku Reply
little girl okay how does the stomach protect itself from the damaging effect of HCL
Wulku
it is because of the enzyme that the stomach produce that help the stomach from the damaging effect of HCL
Kamara
function of digestive system
Ali Reply
function of digestive
Ali
the diagram of the lungs
Adaeze Reply
what is the normal body temperature
Diya Reply
37 degrees selcius
Xolo
37°c
Stephanie
please why 37 degree selcius normal temperature
Mark
36.5
Simon
37°c
Iyogho
the normal temperature is 37°c or 98.6 °Fahrenheit is important for maintaining the homeostasis in the body the body regular this temperature through the process called thermoregulation which involves brain skin muscle and other organ working together to maintain stable internal temperature
Stephanie
37A c
Wulku
what is anaemia
Diya Reply
anaemia is the decrease in RBC count hemoglobin count and PVC count
Eniola
what is the pH of the vagina
Diya Reply
how does Lysin attack pathogens
Diya
acid
Mary
I information on anatomy position and digestive system and there enzyme
Elisha Reply
anatomy of the female external genitalia
Muhammad Reply
Organ Systems Of The Human Body (Continued) Organ Systems Of The Human Body (Continued)
Theophilus Reply
what's lochia albra
Kizito
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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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