Exam 2: Review and Applications of Algebra

Evaluate the following:

Simplify and collect the like terms:

Solve the following pair of equations to three-figure accuracy. Verify your solution. 2.5a + 2b = 11 8a + 3.5b = 13

Use formula (10-2) to obtain PMT if PV = $6595.20, n = 20, and i = 0.06.

Evaluate the following expression for the given value of the variable: 15g -9h + 3 for g = 14, h = 15

Simplify:

Mr. LeClair and Ms. Bartoli own adjacent hobby farms. They have just received their property tax notices providing the following assessment and tax information: 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 price tags in Annie's Flower Shop include the 13% Harmonized Sales Tax (HST). How much HST will she report for a plant sold at $39.55?

Evaluate the following expression for the given value of the variables and calculate to the cent: for S = $850, i = 0.0075. n = 6

An item listed at 40% above cost was sold by a dealer during a special sale at a 15% reduction from the list price. What did the item cost the dealer if it was sold for $23,765.00?

Evaluate the following expression for the given value of the variable sand calculate to the cent: for L = $490,

Use the formula Vf = Vi(1 + c1)(1 + c2)(1 + c3) to determine c2 if Vf = $586.64, Vi = $500, c1 = 0.17, and c3 = 0.09.

Evaluate to six-figure accuracy:

Simplify:

Simplify and collect like terms:

Solve the following equation accurate to the cent:

Evaluate the following expression for the given value of the variables and calculate to the cent: for S = $2500, r = 0.085,

Solve the following pair of equations to three-figure accuracy. Verify your solution. 0.03x + 0.05y = 51 0.8x - 0.7y = 140

Rearrange formula (5-3) to isolate X on the left side.