Chapter 1

\(12 \div(6.2)\)

The sales tax rate in a state is \(6 \%\). Find the sales tax on a purchase of \(\$ 750\).

\(3(2 x+1)-(4 x-9)\)

\(14+8 \div 2\)

\(\sqrt[3]{-1000}\)

The sales tax rate in a state is \(8 \%\). Find the sales tax on a purchase of \(\$ 550\).

A cork board is made by gluing together wine corks. Each cork is \(\frac{3}{4}\) inch wide. Find the number of corks needed to create a board that is 24 inches wide.

. \(10+6 \div 2\)

A restaurant bill is \(\$ 48\). If the tip is \(15 \%\) of the bill, find the total cost of the meal including tip.

Find the number of school districts in which the program malfunctioned. Round to the nearest whole number. A new online statewide math test was shut down this week, after the program malfunctioned for one-fourth of the 99 school districts using it. (Source: www.ap.org, April 26, 2007)

\(12 w-(7 w+1)-w\)

\(18-4(9)\)

A restaurant bill is \(\$ 65\). If the tip is \(20 \%\) of the bill, find the total cost of the meal including tip.

. The U.S. Constitution states that a constitutional amendment requires approval by \(\frac{3}{4}\) of the state legislatures. There are 50 states. Find the number of legislatures that must approve a constitutional amendment. Round to the nearest whole number.

\(15 d-(6 d+1)-d\)

\(24-3(10)\)

The original price of a computer is \(\$ 899\). If it is marked down \(23 \%\), find the sale price.

A recipe for frosted cookies includes \(\frac{1}{2}\) pound of butter for the cookies and \(\frac{1}{8}\) pound of butter for the frosting. Find the total amount of butter in this recipe.

\(6-4^{2} \div 2\)

The original price of a phone is \(\$ 199\). If it is marked down \(32 \%\), find the sale price.

A sausage recipe includes \(\frac{1}{2}\) pound of ground pork and \(\frac{1}{3}\) pound of ground lamb. Find the total amount of groun meat in this recipe.

\(5-4^{2} \div 2\)

\(-\frac{3}{4}\left(26 a-\frac{1}{2}\right)\)

\(5-|-9|\)

The original price of a backpack carrier for dogs that weigh up to 22 pounds is \(\$ 69.97\). On sale, it is \(\$ 39.95\). Find the percent discount. Round to the nearest percent.

About \(8.2\) million Americans own recreational vehicles (RVs). Find the number of RV owners who plan to purchase another RV. Round to the nearest tenth of a million. Two-thirds of current owners plan to purchase another RV. Among all U.S. households, nearly one quarter (23 percent) intend to purchase an RV in the future. (Source: www.rvia -org, Feb. 19, 2009)

\(-\frac{5}{6}\left(15 b-\frac{1}{4}\right)\)

\(6-|-10|\)

Find the density of a piece of wood with a mass of \(12 \mathrm{~g}\) and a volume of \(15 \mathrm{~cm}^{3}\).

The original price of red bell peppers is \(\$ 2.99\) per pound. If the peppers are on sale at \(25 \%\) off, find the cost of 3 pounds of peppers. Round to the nearest hundredth.

The payroll for the New York Yankees in 2008 was about \(\$ 215\) million. Find the approximate combined payrolls in millions of dollars of the Kansas City Royals, the Oakland Athletics, and the Tampa Bay Rays. The Yankees are in last place. They currently own a worse record than Kansas City. Worse than Oakland. Worse than Tampa Bay. We mention those three teams because their combined payrolls weigh barely three-fourths of the Yankees. (Source: www.usatoday.com, May 20, 2008)

\(12+|-8| \div(-2)\)

Find the density of a piece of gold with a mass of \(3.50 \mathrm{~g}\) and a volume of \(0.18 \mathrm{~cm}^{3}\). Round to the nearest tenth.

The original price of a box of cereal is \(\$ 4.59\). If the cereal is on sale at \(18 \%\) off, find the cost of 4 boxes of cereal. Round to the nearest hundredth.

In November 2007 , U.S. airlines had 415,024 scheduled departures. Find the number of flights that landed close to their scheduled arrival time. Round to the nearest whole number. (Source: www.bts.gov) U.S. airlines brought four-fifths of their November flights in close to schedule, making the month the second best of last year for on-time performance. (Source: www.usatodaycom, Jan. 8, 2008)

\(\frac{11}{12} h-\frac{5}{8} h+\frac{4}{5} k-\frac{1}{9} k\)

Find the number of worker fatalities in private industry in construction. Out of 4,070 worker fatalities in private industry in calendar year 2010 , one-fifth ... were in construction. (Source: www -osha.gov, Aug. 2011)

\(6\left(\frac{2}{3} x+\frac{4}{9}\right)\)

\(\frac{1}{4}+\frac{5}{8} \cdot \frac{2}{3}\)

A survey of 325 people who intended to travel on the Memorial Day weekend in 2011 found that three-fifths said that rising gasoline prices would not affect their travel plans. Find the number of surveyed people who said that rising gasoline prices would not affect their travel plans. (Source: www.aaanewsroom.net, May 2011)

\(12\left(\frac{3}{4} x+\frac{4}{15}\right)\)

\(\frac{1}{6}+\frac{2}{3} \cdot \frac{1}{8}\)

If the eye of a person standing on the deck of a boat is 12 ft above the surface of the water, find the distance of the person to the horizon. Round to the nearest tenth.

The regular price of a 14 -piece cookware set is \(\$ 728\). It is on sale at a discount of \(35 \%\). The sales tax is \(6.5 \%\). Find the final cost of the cookware including tax. Round to the nearest hundredth.

The thickness of one sheet of corrugated cardboard is \(\frac{3}{16}\) inch. The distance between shelves in a storage rack is 6 inches. Find the number of sheets of cardboard that can be stacked in this space.

\(\frac{2}{5}\left(\frac{1}{3} p+\frac{7}{10} w\right)\)

\(\frac{1}{4}-\left(\frac{1}{3}\right)^{2}\)

The regular price of an elliptical trainer is \(\$ 899.99\). It is marked down \(18 \%\). The sales tax is \(7.4 \%\). Find the final cost of the elliptical trainer including tax. Round to the nearest hundredth.

The thickness of one sheet of card stock used in scrapbooking is \(\frac{3}{64}\) inch. The distance between shelves in a storage rack is 6 inches. Find the number of sheets of card stock that can be stacked in this space.

\(\frac{1}{3}-\left(\frac{1}{2}\right)^{2}\)