Chapter 1

Explain the difference between a rational number and a irrational number.

\((16 \mathrm{~mm})(2 \mathrm{~mm})\)

The October electricity bill was \(\$ 106.81\). The November electricity bill was \(\$ 126.56\). Find the difference between the November bill and the October bill.

Explain why \(0.3\) is a rational number.

The rent on an apartment was increased from \(\$ 475\) a month to \(\$ 540\) a month. Find the amount that the rent was increased.

A contractor said that the cost to build a standard onestory home was about \(\$ 122\) per square foot. Find the cost to build a home with 1850 square feet.

The price of one drip coffee at a campus coffee shop is \(\$ 1.25\). A student buys about 180 drip coffees per school year. Find the cost to buy 180 drip coffees.

\(\left(32 \mathrm{~mm}^{2}\right)(4 \mathrm{~mm})\)

For students taking at least six credits, the college daycare center charges \(\$ 350\) a month for preschoolers, \(\$ 400\) a month for toddlers, and \(\$ 450\) a month for infants. Find the cost of daycare for 9 months for a family with one toddler and one infant.

\(14 k+9 k-k\)

For students taking at least six credits, the college daycare center charges \(\$ 350\) a month for preschoolers, \(\$ 400\) a month for toddlers, and \(\$ 450\) a month for infants. Find the cost of daycare for 9 months for one preschooler and one infant.

\(20 u+15 u-u\)

\(4+0\)

Find the circumference of a circle with a diameter of \(6 \mathrm{~cm}\).

\(\frac{12 \mathrm{~km}}{2 \mathrm{~km}}\)

A student works 15 hours a week at a job that pays \(\$ 7.25\) per hour. Since he needs to make \(\$ 225\) per week to pay his bills, he is looking for another job. If he can find a job that pays \(\$ 9\) per hour, how many additional hours will he need to work? Round up to the nearest whole number.

\(9-0\)

Find the circumference of a circle with a diameter of \(13 \mathrm{~cm}\).

A student works 12 hours a week at a job that pays \(\$ 7.25\) per hour. Since she needs to make \(\$ 240\) per week to pay her bills, she is looking for another job. If she can find a job that pays \(\$ 10\) per hour, how many additional hours will she need to work? Round up to the nearest whole number.

\(4-0\)

Find the circumference of a circle with a radius of \(0.5 \mathrm{in}\).

A basic wireless phone plan costs \(\$ 39.99\) a month. Each text message costs \(\$ 0.20\). A select plan costs \(\$ 59.99\) a month and has unlimited text messages. Find the number of text messages at which the basic plan and the select plan have the same monthly cost.

\(\frac{1}{8} m-\frac{5}{8} m+\frac{3}{8}\)

Find the circumference of a circle with a radius of \(0.7 \mathrm{in}\).

A select wireless phone plan costs \(\$ 59.99\) a month. Each megabyte of data costs \(\$ 1.99\). A connect wireless phone plan costs \(\$ 69.99\) a month. Data transfer is free. Find the number of megabytes of data at which the select plan and the connect plan have the same monthly cost. Round to the nearest whole number.

\(\frac{1}{10} c-\frac{3}{10} c+\frac{7}{10}\)

Find the area of a circle with a radius of \(6 \mathrm{~cm}\).

Find \(8 \%\) of 32 .

A gallon jug of brand name nonfat milk costs \(\$ 2.39\). A gallon jug of store brand nonfat milk costs \(\$ 1.99\). Find the savings in a year from buying the store brand if a family buys 3 gallons of nonfat milk per week (52 weeks \(=1\) year).

Find the area of a circle with a radius of \(10 \mathrm{~cm}\).

Find \(6 \%\) of 42 .

A 2010 Honda Civic with a 1.8-liter engine has an EPA highway rating of 34 miles per gallon. A 2010 Honda Civic with a 2.0-liter engine has an EPA highway rating of 29 miles per gallon. If a commuter drives 25,000 highway miles per year and gasoline is \(\$ 3.10\) per gallon, find the amount saved in a year by driving the car with the 1.8-liter engine. Round to the nearest whole number. (Source: www.fueleconomy-gov)

Find the area of a circle with a diameter of \(12 \mathrm{~m}\).

Find \(54 \%\) of 225 .

\(\frac{9}{1}\)

Find the area of a circle with a diameter of \(8 \mathrm{~m}\).

Find \(65 \%\) of 130 .

Find the number of employees before the job cuts at General Tobacco's plant. General Tobacco Co. will cut 31 jobs ... the job cuts would trim the workforce to 95 full-time employees. (Source: www.godanriver.com, Nov. 14, 2008)

\(9 c-8 d+2 c-5 d+3\)

Find the volume of a cylinder with a radius of 6 in. and height of \(15 \mathrm{in}\).

Find \(1.25 \%\) of 4500 .

The average weekly salary for a construction worker in May 2011 was S725. If a construction worker is employed for 50 weeks a year, find the employee's annual salary. (Source: www.bls.gov, July 2011)

Find the volume of a cylinder with a radius of \(8 \mathrm{in}\). and height of 15 in.

Find \(1.25 \%\) of 5500 .

The U.S. average weekly wage in the first quarter of May 2011 was \(\$ 935\). If an employee works at this wage for 50 weeks a year, find the employee's annual salary. (Source: www.bls.gov, Sept. 29, 2011)

\(0 \cdot 4\)

Find the volume of a cylinder with a radius of 18 in. and height of \(2 \mathrm{ft}\). Write the answer in cubic inches.

Find \(300 \%\) of 65 .

\(-\frac{3}{5} p+\frac{1}{8}-\frac{1}{5} p+\frac{3}{8}\)

\(0 \div 9\)