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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

What are the factors that affect demand for a commodity
Florence Reply
differentiate between demand and supply giving examples
Lambiv Reply
differentiated between demand and supply using examples
Lambiv
what is labour ?
Lambiv
how will I do?
Venny Reply
how is the graph works?I don't fully understand
Rezat Reply
information
Eliyee
devaluation
Eliyee
t
WARKISA
hi guys good evening to all
Lambiv
multiple choice question
Aster Reply
appreciation
Eliyee
explain perfect market
Lindiwe Reply
In economics, a perfect market refers to a theoretical construct where all participants have perfect information, goods are homogenous, there are no barriers to entry or exit, and prices are determined solely by supply and demand. It's an idealized model used for analysis,
Ezea
What is ceteris paribus?
Shukri Reply
other things being equal
AI-Robot
When MP₁ becomes negative, TP start to decline. Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 • Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of lab
Kelo
Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 • Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of labour (APL) and marginal product of labour (MPL)
Kelo
yes,thank you
Shukri
Can I ask you other question?
Shukri
what is monopoly mean?
Habtamu Reply
What is different between quantity demand and demand?
Shukri Reply
Quantity demanded refers to the specific amount of a good or service that consumers are willing and able to purchase at a give price and within a specific time period. Demand, on the other hand, is a broader concept that encompasses the entire relationship between price and quantity demanded
Ezea
ok
Shukri
how do you save a country economic situation when it's falling apart
Lilia Reply
what is the difference between economic growth and development
Fiker Reply
Economic growth as an increase in the production and consumption of goods and services within an economy.but Economic development as a broader concept that encompasses not only economic growth but also social & human well being.
Shukri
production function means
Jabir
What do you think is more important to focus on when considering inequality ?
Abdisa Reply
any question about economics?
Awais Reply
sir...I just want to ask one question... Define the term contract curve? if you are free please help me to find this answer 🙏
Asui
it is a curve that we get after connecting the pareto optimal combinations of two consumers after their mutually beneficial trade offs
Awais
thank you so much 👍 sir
Asui
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities, where neither p
Cornelius
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities,
Cornelius
Suppose a consumer consuming two commodities X and Y has The following utility function u=X0.4 Y0.6. If the price of the X and Y are 2 and 3 respectively and income Constraint is birr 50. A,Calculate quantities of x and y which maximize utility. B,Calculate value of Lagrange multiplier. C,Calculate quantities of X and Y consumed with a given price. D,alculate optimum level of output .
Feyisa Reply
Answer
Feyisa
c
Jabir
the market for lemon has 10 potential consumers, each having an individual demand curve p=101-10Qi, where p is price in dollar's per cup and Qi is the number of cups demanded per week by the i th consumer.Find the market demand curve using algebra. Draw an individual demand curve and the market dema
Gsbwnw Reply
suppose the production function is given by ( L, K)=L¼K¾.assuming capital is fixed find APL and MPL. consider the following short run production function:Q=6L²-0.4L³ a) find the value of L that maximizes output b)find the value of L that maximizes marginal product
Abdureman
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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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