Exam 2: A: Review and Applications of Algebra

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

Solve the following pair of equations. Verify your solution. 37x - 63y = 235 18x + 26y = 468

Perform the operation indicated and collect like terms:

Evaluate: 15g - 9h + 3 for g = 14, h = 15

Barry recently sold some stock after holding it for 2 years. The stock rose 150% in price during the first year but fell 40% in the second year. At what price did he buy the stock if he sold it for $24 per share?

Solve accurate to the cent:

How much is $10,000 increased by ¾%?

Evaluate to six-figure accuracy:

Evaluate and calculate to the cent: for P = $770, r = 0.013,

In January of 2008, the federal government reduced the GST rate from 6% to 5%. What was the resulting percent reduction in the dollar amount of GST consumers paid on any item?

Perform the operation indicated and collect like terms: 5(2x - y)(y + 3x) - 6x(x - 5y)

Solve the following pair of equations. Verify your solution. Round final answers to two decimals. -3c + d = - 550 0.7c + 0.2d = 550

Simplify:

Solve: 3y - 4 = 3(y + 6) - 2(y + 3)

A city's commercial construction by-laws require five parking spaces for every 100 square metres of retail rental space in a shopping centre. Four percent of the parking spaces must be large spaces for the physically handicapped. Of the remainder, there must be 40% more regular-size spaces than "small-car" spaces. How many parking spaces of each type are required for a 27,500 square metre shopping centre?

Mutual Fund A charges an annual management fee of 2.38% of money under management. The corresponding management fee for Mutual Fund B is 1.65%. On the same invested amount, what percentage more fees will you pay to Fund A than to Fund B?

The number of hammers sold?

Simplify and collect like terms: (-p) + (-3p) + (4p)

Solve the following pair of equations. Verify your solution. 3x + 5y = 11 2x - y = 16

Calculate the missing value: Initial Value = 0.095; Final Value = 0.085; Percent Change =?