Chapter 1

Find \(300 \%\) of 55 .

\(-\frac{3}{4} a+\frac{1}{9}-\frac{3}{4} a+\frac{2}{9}\)

\(0 \div 4\)

Find the volume of a cylinder with a diameter of 15 in. and a height of \(24 \mathrm{in}\).

What percent is 42 of 120 ?

\(\frac{1}{10} c+\frac{3}{5} d+\frac{3}{4} c-\frac{1}{2} d\)

Find the volume of a cylinder with a diameter of 11 in. and a height of 27 in.

What percent is 21 of 140 ?

\(\frac{1}{8} x+\frac{2}{3} y+\frac{2}{5} x-\frac{1}{2} y\)

Find the volume of a sphere with a diameter of \(25 \mathrm{in}\).

What percent is \(1.75\) of 50 ?

Find the population of China a decade ago. Write the answer using the word million. For now, China remains the most populous nation, with \(1.34\) billion people. In the past decade it added \(73.9\) million, more than the population of France or Thailand. (Source: www.chicagotribune.com, Oct. 15, 2011)

Find the volume of a sphere with a diameter of \(15 \mathrm{in}\).

What percent is \(1.35\) of 90 ?

Find the amount of state funding UC received last year. Write the answer using the word million. UC will receive about \(\$ 2.37\) billion in state funding this year, \(\$ 650\) million less than last year. (Source: www.latimes.com, Sept. 15, 2011)

\(\frac{5}{12} p+\frac{3}{10}+\frac{11}{12} p+\frac{1}{10}\)

Find the volume of a cone with a radius of 6 in. and a height of 11 in.

What percent is 300 of 150 ?

Find the amount of manure produced by the herd of cows in 1 year (365 days). Write the answer using the word million. "Can"t you guys do something with this stuff - make a flowerpot or something?" Those were fateful words for brothers Ben and Matthew Freund, second- generation dairy farmers who at the time maintained a herd of 225 Holsteins in East Canaan. Each cow produces 120 pounds of manure daily. (Source: www.nytimes.com, March 1, 2009)

Find the volume of a cone with a radius of 6 in. and a height of 13 in

What percent is 250 of 125 ?

New diets for cows that result in less belching can reduce greenhouse gas emissions. Find the maximum amount of methane gas that a herd of 60 average dairy cows produces by belching per year (1 year \(=365\) days). Write the answer using the word million. The average dairy cow belches out about 100 to 200 liters of methane each day. (Source: www.reuters.com, July 9, 2007)

\(-9 h+3 k-\frac{3}{4} h-\frac{1}{2} k\)

The number 5 is the opposite of \(-5\). Explain why.

The diameter of a circular bathroom sink is 15.75 in. Find its circumference. Round to the nearest hundredth.

What percent is \(37.5\) of 1500 ?

\(6 x^{2}-3 x+4 x^{2}-1\)

\(-(-6)\)

The diameter of a circular saw blade is 7.25 in. Find its circumference. Round to the nearest hundredth.

What percent is \(42.5\) of 1700 ?

\(-(-3)\)

The diameter of a circular bathroom sink is 15.75 in. Find its area. Round to the nearest tenth.

Find the number of emergency room visits for nail gun injuries that involve workers. Nail guns are powerful, casy to operate, and boost productivity for nailing tasks. They are also responsible for an estimated 37,000 emergency room visits each year \(-68 \%\) of these involve workers and \(32 \%\) involve consumers. (Source: www.cdc.gov, Oct 12, 2011)

Find the total amount the company is paying for pollution controls and the penalty. Write the answer in place value notation. Last July, East Kentucky agreed to install pollution controls estimated to cost \(\$ 650\) million and to pay a \(\$ 750,000\) penalty to resolve violations of the new source review provisions of the Clean Air Act at the Dale facility and two other plants. (Source: www.yosemite.epa.gov, Sept. 20, 2007)

\(c^{2}+5 c+9+c^{2}+4 c+10\)

The diameter of a circular saw blade is 3.375 in. Find its area. Round to the nearest tenth.

In a sample of 920 children in Texas, ages \(24-35\) months, \(32.3 \%\) had received the hepatitis A vaccine. Find the number of children who received the vaccine. Round to the nearest whole number. (Source: www.cde.gov/nchs/ nis.htm, 2003)

Find the total salary that the chief operating officer of Microsoft made in 2010 . Write the answer in place value notation. Chief Operating Officer Kevin Turner was the highest paid ... \(\$ 732,500\) in salary, \(\$ 1.9\) million in bonus and \(\$ 6.6\) million in stock awards. (Source: news.cnet.com, Oct. 3, 2011)

\(a^{2}+6 a+3+a^{2}+5 a+4\)

\(7^{2}\)

The inner diameter of a cylindrical waste basket is 9.75 in. and its height is 14.75 in. Find its volume. Round to the nearest tenth.

If \(15 \%\) of the area of a park is playground and the area of the park is 6 acres, find the area of the playground.

A condominium in the East Village of New York City has two bedrooms, two bathrooms, and 1468 square feet of living area. The price of the condo is \(\$ 1,575,000\). Find the cost per square foot of this condo. Round to the nearest whole number.

\(k^{2}-5 k-6+2 k^{2}-3 k+4\)

\((-10)^{2}\)

The inner diameter of cylindrical mailing tube is 1.75 in. and its length is 9.5 in. Find its volume. Round to the nearest tenth.

If \(8 \%\) of the receipts of a sporting event are donated to charity and the receipts total \(\$ 48,000\), find the amount donated to charity.

A condominium in south Boston has three bedrooms, two baths, and 1807 square feet of living area. The price of the condo is \(\$ 1,040,000\). Find the cost per square foot of this condo. Round to the nearest whole number.

\(h^{2}-8 h-7+2 h^{2}-4 h+3\)

\((-7)^{2}\)