Chapter 1

The International Basketball Federation rules (2006) state, "For all men's competitions in all categories, the circumference of the ball shall be no less than \(749 \mathrm{~mm}\) and no more than \(780 \mathrm{~mm}\) (size 7)." Find the maximum volume of the ball in cubic millimeters. Round to the nearest whole number. (Source: www.fiba.com)

Evaluate \(8 \mathrm{~km}+4 \mathrm{~m}\). Write the answer in meters.

Find the percent of adults who wear a seatbelt on every trip. Round to the nearest percent. One in 7 adults did wear a seat belt on every trip. (Source: www.cdc.gov, Jan. 4, 2011)

The regular price of a gallon of milk is \(\$ 3.09\). On sale, the milk is \(\$ 2.39\) per gallon. A daycare center uses 45 gallons of milk and 32 gallons of orange juice per week. Find the amount the daycare center will save per week when the milk is on sale.

\(2 x^{2}+x-9+3 x^{2}-2 x+15\)

\(-10^{2}\)

The International Basketball Federation rules (2006) state, "For all women's competitions in all categories, the circumference of the ball shall be no less than \(724 \mathrm{~mm}\) and no more than \(734 \mathrm{~mm}\) (size 6)." Find the minimum radius of the ball in millimeters. Round to the nearest whole number. (Source: www.fiba.com)

Evaluate \(12 \mathrm{~kg}+54 \mathrm{~g}\). Write the answer in grams.

Find the percent of episodes of drinking and driving in 2010 for which men were responsible. Men were responsible for 4 in 5 episodes ... of drinking and driving in 2010. (Source: www.cdc.gov, Oct. 2011)

The regular price of a gallon of orange juice is \(\$ 3.89\). On sale, the juice is \(\$ 3.59\) per gallon. A daycare center uses 45 gallons of milk and 32 gallons of orange juice per week. Find the amount the daycare center will save per week when the orange juice is on sale.

\(3 p^{2}+p-10+2 p^{2}-2 p+13\)

Evaluate \(8 \mathrm{~km}+4 \mathrm{~m}\). Write the answer in kilometers.

Find the percent of vehicles belonging to residents that can be parked in legal curb spaces. Round to the nearest percent. The need for extra parking is clear: There are about 850 legal curb spaces in UCLA's North Village, but about 5,700 vehicles belonging to residents. (Source: www.latimes.com, June 28, 2011)

\(6(3 u)=(6 \cdot 3) u\)

\(2^{3}\)

Evaluate \(12 \mathrm{~kg}+54 \mathrm{~g}\). Write the answer in kilograms.

Faced with budget cuts from the state, the Minnesota Historical Society eliminated 19 jobs out of 325 total positions. Find the percent of jobs that were eliminated. Round to the nearest percent. (Source: www.startribune .com, Aug. 24, 2011)

Find the previous score of the Civic \(\mathrm{LX}\) in Consumer Reports. The redesigned Civic LX's score dropped a whopping 17 points to a mediocre 61 . (Source: latimes.blog, Aug. 4, 2011)

A birthday party at a skating rink includes 15 children and 2 adults. Twelve of the children will rent skates, and no one will play hockey. Find the cost for the birthday party. Cost to skate is \(\$ 4\) with \(\$ 1\) to rent skates. Parks and Rec also offers open hockey with separate times for both adults and youth at Packer. Hockey is \(\$ 10\) for adults, \(\$ 5\) for kids. (Source: www.austindailyherald.com, Dec. 6, 2008)

\((-2)^{3}\)

$$ 9000\( earning \)5 \%$ annual simple interest for 8 years.

The cost to buy a phone with a 2 -year service contract is \(\$ 199\). A single- line voice plan costs \(\$ 69.99\) per month. A 2 GB data plan is an additional \(\$ 30\) per month. An unlimited messaging plan is an additional \(20 per month. A case is \)35. Find the total cost to buy this phone and a case and to use the given plans for 2 years.

\((-3)^{3}\)

Find the minimum percent of streetlights that the Energy Committee recommends for removal. Round to the nearest percent. A committee studying energy conservation in Jaffrey, N.H., is recommending that the town turn off more than a quarter of its streetlights. The Jaffrey Energy Committee says the town could save a substantial amount of money by removing at least 61 of its 225 streetlights and fitting the rest with lower wattage bulbs. (Source: www.amerlux.com, June 2008)

Find the number of nonfatal injuries in alcohol-related motor vehicle crashes that occur each day. Alcohol-related motor vehicle crashes kill someone every 31 minutes and nonfatally injure someone every two minutes. (Source: www.cdc.gov)

\(6 x+4 x=x(6+4)\)

\(|-25|\)

$$ 2300\( earning \)1.75 \%$ annual simple interest for 7 years.

Find the percent that the fee revenues for each full-time equivalent student in California are of the national average. Round to the nearest percent. California collects substantially lower amounts of tuition revenue per student than the national average.... Fee revenues per FTES (full-time equivalent student) in California were \(\$ 1,441\) in 2007 , less than half the national average of \$3,845. (Source: www.csus.edu/ihelp, Feb. 2009)

Find the number of motor vehicle crashes that occur each day. Every 12 minutes someone dies in a motor vehicle crash, every 10 seconds an injury occurs and every 5 seconds a crash occurs. (Source: www.osha.gov, 2005)

\(3 z+5 z=z(3+5)\)

\(|-36|\)

Find the percent of the budget cuts to the Arizona university system that are being cut from the Northern Arizona University budget. Round to the nearest percent. Arizona Gov. Jan Brewer recently signed a bill that cuts \(\$ 141.5\) million from the budgets of the Arizona university system; \(\$ 20.5\) million will be cut from NAU (Northern Arizona University). (Source: www.jackcentral.com, Feb. 12, 2008)

Find the number of additional hours each year a student will spend in school if the average school day is increased to \(6.75\) hours. On average, U.S. students spend \(6.5\) hours per day in school, 180 days a year. That's far less than for students in many other developed nations. (Source: www.bnet.com, Jan. 28, 2008)

\(3(x+4)=3 x+3(4)\)

39\. \(|25|\)

Find the percent that the calories in a triple Whopper with cheese are of the recommended daily calorie intake for an adult woman. Round to the nearest percent. At one Burger King restaurant ... a triple Whopper with cheese has 1,230 calories ... and a king-size chocolate shake has 1,260 . The recommended daily calorie intake for an adult woman is about 1,800 . (Source: www.nydailynews -com, July 7, 2007)

In Chicago in 2011-2012, most elementary students met from 9 a.m. to \(2: 45\) p.m. for 170 days. If 10 days are added to the school year and 90 minutes are added to each school day, find the additional time a student will spend in school. (Source: www.chicagotribune.com, April 29, 2011)

\(4(c+1)=4 c+4(1)\)

\(|36|\)

A market consists of four companies. Company A has \(30 \%\) of the market, Company B has \(30 \%\) of the market, Company C has \(20 \%\) of the market, and Company D has \(20 \%\) of the market. Find the HHI for this market.

\((10 y)(4 z)\)

Explain why \(|-4|=4\).

A market consists of four companies. Company A has \(30 \%\) of the market, Company B has \(10 \%\) of the market, Company C has \(10 \%\) of the market, and Company D has \(50 \%\) of the market. Find the HHI for this market.

\(\frac{55 \mathrm{mi}}{1 \mathrm{hr}} ; 7 \mathrm{hr}\)

Explain why \(|-6|=6\).

\(\sqrt{49}\)

\((-3 x)(-5 x)\)

a. Identify a number that is an element of the set of whole numbers and an element of the set of real numbers. b. Are all whole numbers also real numbers?

\(\sqrt{64}\)