Exam 2: Review and Applications of Algebra

A car dealer normally lists new cars at 22% above cost. A demonstrator model was sold for $17,568 after a 10% reduction from the list price. What amount did the dealer pay for this car?

Perform the operation indicated and collect like terms: 9k(4 - 8k + 7k²)

Solve for x: 2/3 ( x + 3) = -1/2 (6 x + 20) + 15

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

Evaluate: 7x(4y - 8) for x = 3.2, y = 1.5

Solve accurate to the cent: $\frac{x}{1.1^{2}}+2 x(1.1)^{3}=\$ 1000$

Simplify the following: (2x³)⁵

Simplify: (x⁴)⁷

The final value of x is 325.25 given the formula $x(1.08)^{5}+1,500+\frac{x}{1.04^{-3}}=\frac{2,800}{1.04^{6}}$

Graph following equation: -2x + y = 4 over the range x = -3 to x = 6

Solve for the unknown rounded to two decimal places $\frac{8 x}{1.22^{-4}}+2,000=\frac{7,820}{2.05^{3}}+\frac{x}{1.011^{5}}$

Last year, Canada's exports to the U.S. exceeded imports from the U.S. by 9.62%. By what percentage were the United States' exports to Canada less than its imports from Canada?

Stavros sells gold and green fabric in his drapery store. He buys the same quantity of both each quarter for $18 per metre for the gold fabric and $20 for the green fabric. His last order totalled $2,290. The supplier has advised Stavros that the gold fabric will increase by 20% and the green fabric by 25%, and his total order for the next quarter will be $2813. How many metres of gold fabric does Stavros order each quarter?

Solve the following set of equations graphically: 2x + 3y = 12 x - y = 1

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?

Mountain Sports is advertising "30% Off All Skiing Equipment" in its Spring Clearance Sale. On ski boots marked down to $348.60, what is the regular price?

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

Calculate the result to two decimal places given t = 1.25 $\left(t^{8}\right)^{\frac{5}{6}}$

Evaluate: L(1 - d₁)(1 - d₂) for L = $1000, d₁ = 0.30, and d₂ = 0.20.

Marika bought 5 litres of milk and 4 dozen eggs for $13.97. Lester purchased 9 litres of milk and 3 dozen eggs for $16.83. What were the prices for a litre of milk and a dozen eggs?