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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

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Step 1: Find the mean. To find the mean, add up all the scores, then divide them by the number of scores. ... Step 2: Find each score's deviation from the mean. ... Step 3: Square each deviation from the mean. ... Step 4: Find the sum of squares. ... Step 5: Divide the sum of squares by n – 1 or N.
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Bhartdarshan' is an internet-based travel agency wherein customer can see videos of the cities they plant to visit. The number of hits daily is a normally distributed random variable with a mean of 10,000 and a standard deviation of 2,400 a. what is the probability of getting more than 12,000 hits? b. what is the probability of getting fewer than 9,000 hits?
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Bhartdarshan'is an internet-based travel agency wherein customer can see videos of the cities they plan to visit. The number of hits daily is a normally distributed random variable with a mean of 10,000 and a standard deviation of 2,400. a. What is the probability of getting more than 12,000 hits
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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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