Exam 2: B: Review and Applications of Algebra

Mr. LeClair and Ms. Bartoli own adjacent hobby farms. They have just received their property tax bills for the current year. Mr. LeClair's property tax is $1,935 on a residence assessed at $200,000 and land with farm buildings assessed at $150,000. Ms. Bartoli's tax is $1,887 on her residence assessed at $175,000 and land with farm buildings assessed at $190,000. The regional government applies one tax rate to residences, and a lower tax rate to land with farm buildings. What are these property tax rates (expressed in percent to the nearest 0.01%)?

The retail price of a sweater is $161.00, which includes a markup of 40% of cost. What is the cost price of the sweater?

2(b - 2) - (b - 2) =

Simplify and collect like terms: 9x - [4y - 3(x - y)]

What amount when increased by 150% equals $575?

Kristina is in charge of billing for a company that does computer training. She is preparing an invoice for $1,340 for 32 hours of work, which includes training at $70 per hour and preparation of a manual at $25 per hour. How many hours of training are included in the invoice?

Tickets for the school play were $3 for students and $5 for all others. The box office sold 750 tickets for a total of $3,200. How many student tickets were sold?

A loan company dropped the interest rate it charges on second mortgages from 9.5% to 7.9%. What percent reduction did this represent?

How much is 50 increased by 300%?

(8²)(2^-4)( -2)² =

Simplify the following:

Solve for x and y in the following pair of equations: Y = -0.2x + 4.2 X - 0.5y = 10

Calculate the result to the nearest cent given n = 3; i = .087 and R = $925

Graph following equations: y = 4 over the range x = -3 to x = 6

Evaluate the following:

An employee earns $1,562.50 for 55 hours of work during last week. His regular workweek is 40 hours and he gets overtime at time and one-half the regular rate of pay. What is the regular hourly rate of pay?

Simplify:

Evaluate the following:

Simplify and collect like terms: 3(x - 2y)(2x + y)

Evaluate to six-figure accuracy: