Exam 2: Review and Applications of Algebra

Perform operations and gather like terms: $\frac{96 n m^{2}-72 n^{2} m^{2}}{48 n^{2} m}$

What is the range of y given the domain x = -3 to x = 5 for the equation -3x + y = 15?

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?

Evaluate to six-figure accuracy: $\frac{1.03^{16}-1}{0.03}$

Evaluate to six-figure accuracy: $\frac{1-(1+0.045)^{-12}}{0.045}$

(8²)(2^-4)( -2)² =

Simplify and collect like terms: $k(1+0.04)^{2}+\frac{2 k}{(1+0.04)^{2}}$

The retail price of a packaged CD is $60.00, which includes a markup of 150% of cost. What is the cost price of the CD?

Simplify: $\left(\frac{3}{2 x^{2}}\right)^{2}\left(\frac{6 x^{3}}{5^{2}}\right)\left(-\frac{x^{4}}{5}\right)^{-1}$

The final value of x is 134.40 given the formula $\frac{x}{1.2^{3}}+3 x(1.4)^{2}=1,500$

Simplify: (1 + i) x (1 + i)ⁿ

Simplify and collect like terms: 4x + 5 - 2.1(x - 7)x8

Solve the following pair of equations. Verify your solution. 7p - 3q = 23 -2p - 3q = 5

What amount, when reduced by 60% equals $840?

Calculate the missing value: Initial Value = 26.3cm; Final Value =?; Percent Change = 300%

Perform the operation indicated and collect like terms: $\frac{-4 x+10 x^{2}-6 x^{3}}{-0.5 x}$

Simplify: (y³)³

Evaluate the following: 25^3/2

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%)?

Simplify: x⁷ / x^-4 /x³