Exam 2: A: Review and Applications of Algebra

Solve the following pair of equations. Verify your solution. 68.9n - 38.5m = 57 45.1n - 79.4m = -658

Simplify and collect like terms:

Solve the following pair of equations. Verify your solution. y = 2x 7x - y = 35

Solve for x to five-figure accuracy:

Fred has centralized the purchasing and recordkeeping functions for his three pharmacies in a single office. The annual costs of the office are allocated to the three stores. The Hillside store is charged $1,000 less than twice the charge to the Barnett store. The Westside store is charged $2,000 more than the Hillside store. What is the charge to the Westside store if the cost of operating the central office for a year is $27,600?

Econo Car offers two plans for one-week rentals of a compact car. A rate of $295 per week includes the first 1,000 kilometres. Extra distance costs 15 cents per kilometre. A weekly rate of $389 allows unlimited driving. Rounded to the nearest kilometre, beyond what driving distance is the unlimited driving plan cheaper?

Simplify the following expression

Simplify:

Perform the operation indicated and collect like terms: (3p² - 5p)( -4p + 2)

Perform operations and gather like terms: 6(4y - 3)(2 - 3y) - 3(5 - y)(1 + 4y)

Evaluate: for i = 0.0225, m = 4

Simplify:

A caterer has the following price structure for banquets. The first 20 meals are charged the basic price per meal. The next 20 meals are discounted by $2 each and all additional meals are each reduced by $3. If the total cost for 73 meals comes to $1686, what is the basic price per meal?

Perform the operation indicated and collect like terms:

Evaluate and calculate to the cent: for R = $630, i = 0.115, n = 2

Graph the following equations: y = 4.5x + 5,000 over the range x = 0 to x = 6,000

Evaluate and calculate to the cent: for r = 0.095, I = $23.21,

The formula for converting from Celsius temperatures, C, to Fahrenheit temperatures, F, is F = C + 32. a) If you were to plot a graph of F vs. C, what would be the slope and F-intercept of the line? b) The slope represents the change in F per unit change in C. Use the value of the slope to determine the increase in Fahrenheit temperature corresponding to a 10 Celsius-degree rise. c) Rearrange the given formula to obtain a formula for converting from Fahrenheit temperatures to Celsius temperatures. What would be the slope and C-intercept if C vs. F were plotted on a graph?

Solve for x to five-figure accuracy:

Simplify: