<< Chapter < Page Chapter >> Page >

In the following exercises, simplify using the Distributive Property.

−3 ( 6 m 1 )

−18 m + 3

Got questions? Get instant answers now!

1 3 ( 15 n 6 )

5 n 2

Got questions? Get instant answers now!

( a 4 ) ( 6 a + 9 )

−5 a 13

Got questions? Get instant answers now!

4 ( x + 3 ) 8 ( x 7 )

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

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

64 inches

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

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

2.7 miles

Got questions? Get instant answers now!

Shamu weights 4.5 tons. Convert the weight to pounds.

Got questions? Get instant answers now!

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

105 minutes

Got questions? Get instant answers now!

How many tablespoons are in a quart?

Got questions? Get instant answers now!

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

94 ounces

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

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.

Got questions? Get instant answers now!

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?

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

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?

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

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

0.488 grams

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

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

2,900 grams

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

Caroline walked 2.5 kilometers. Convert this length to miles.

1.6 miles

Got questions? Get instant answers now!

Lucas weighs 78 kilograms. Convert his weight to pounds.

Got questions? Get instant answers now!

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

14.6 gallons

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

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

–12° Celsius

10.4° F

Got questions? Get instant answers now!

Chapter practice test

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

205,617

Got questions? Get instant answers now!

Find the prime factorization of 504.

Got questions? Get instant answers now!

Find the Least Common Multiple of 18 and 24.

72

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

In the following exercises, evaluate.

| x | when x = −2

−2

Got questions? Get instant answers now!

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

−7 20 ; 27

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

Round 677.1348 to the nearest hundredth.

677.13

Got questions? Get instant answers now!

Convert 4 5 to a decimal.

Got questions? Get instant answers now!

Convert 1.85 to a percent.

185%

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

In the following exercises, simplify each expression.

4 + 10 ( 3 + 9 ) 5 2

99

Got questions? Get instant answers now!

−5.8 + ( −4.7 )

−10.5

Got questions? Get instant answers now!

( 0.07 ) ( 31.95 )

2.2365

Got questions? Get instant answers now!

6 x + ( −4 y ) + 9 x + 8 y

15 x + 4 y

Got questions? Get instant answers now!

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

100 minutes

Got questions? Get instant answers now!

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)

Got questions? Get instant answers now!

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

4.508 km

Got questions? Get instant answers now!

Get Jobilize Job Search Mobile App in your pocket Now!

Get it on Google Play Download on the App Store Now




Source:  OpenStax, Elementary algebra. OpenStax CNX. Jan 18, 2017 Download for free at http://cnx.org/content/col12116/1.2
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Elementary algebra' conversation and receive update notifications?

Ask