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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

A golfer on a fairway is 70 m away from the green, which sits below the level of the fairway by 20 m. If the golfer hits the ball at an angle of 40° with an initial speed of 20 m/s, how close to the green does she come?
Aislinn Reply
cm
tijani
what is titration
John Reply
what is physics
Siyaka Reply
A mouse of mass 200 g falls 100 m down a vertical mine shaft and lands at the bottom with a speed of 8.0 m/s. During its fall, how much work is done on the mouse by air resistance
Jude Reply
Can you compute that for me. Ty
Jude
what is the dimension formula of energy?
David Reply
what is viscosity?
David
what is inorganic
emma Reply
what is chemistry
Youesf Reply
what is inorganic
emma
Chemistry is a branch of science that deals with the study of matter,it composition,it structure and the changes it undergoes
Adjei
please, I'm a physics student and I need help in physics
Adjanou
chemistry could also be understood like the sexual attraction/repulsion of the male and female elements. the reaction varies depending on the energy differences of each given gender. + masculine -female.
Pedro
A ball is thrown straight up.it passes a 2.0m high window 7.50 m off the ground on it path up and takes 1.30 s to go past the window.what was the ball initial velocity
Krampah Reply
2. A sled plus passenger with total mass 50 kg is pulled 20 m across the snow (0.20) at constant velocity by a force directed 25° above the horizontal. Calculate (a) the work of the applied force, (b) the work of friction, and (c) the total work.
Sahid Reply
you have been hired as an espert witness in a court case involving an automobile accident. the accident involved car A of mass 1500kg which crashed into stationary car B of mass 1100kg. the driver of car A applied his brakes 15 m before he skidded and crashed into car B. after the collision, car A s
Samuel Reply
can someone explain to me, an ignorant high school student, why the trend of the graph doesn't follow the fact that the higher frequency a sound wave is, the more power it is, hence, making me think the phons output would follow this general trend?
Joseph Reply
Nevermind i just realied that the graph is the phons output for a person with normal hearing and not just the phons output of the sound waves power, I should read the entire thing next time
Joseph
Follow up question, does anyone know where I can find a graph that accuretly depicts the actual relative "power" output of sound over its frequency instead of just humans hearing
Joseph
"Generation of electrical energy from sound energy | IEEE Conference Publication | IEEE Xplore" ***ieeexplore.ieee.org/document/7150687?reload=true
Ryan
what's motion
Maurice Reply
what are the types of wave
Maurice
answer
Magreth
progressive wave
Magreth
hello friend how are you
Muhammad Reply
fine, how about you?
Mohammed
hi
Mujahid
A string is 3.00 m long with a mass of 5.00 g. The string is held taut with a tension of 500.00 N applied to the string. A pulse is sent down the string. How long does it take the pulse to travel the 3.00 m of the string?
yasuo Reply
Who can show me the full solution in this problem?
Reofrir Reply
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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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