Exam 2: Review and Applications of Algebra

Simplify and collect like terms: 1 - (7e² - 5 +3e - e³)

Mrs. Simone invested $20,000 in two investments paying 2% and 3% respectively. She earned $460 interest for the year. How much did Mrs. Simone invest at 3%?

The population of Enfield has increased by 36% over the last five years. If the current population is 89,244 what was it 5 years ago?

(5x - 2y)(x - 2y) =

The retail price of a sweater is $161.00, which includes a markup of 40% of cost. What is the cost price of the sweater?

In the second year

A partnership in a public accounting practice has 7 partners and 12 accounting technicians. Each partner draws the same salary, and each technician is paid the same salary. The partners calculate that if they give the technicians a raise of 5% and if they increase their own salaries by 5%, the gross annual salaries for all accounting personnel will rise from the current $1,629,000 to $1,734,750. What are the current annual salaries of a partner and an accounting technician?

Evaluate and calculate to the cent: L(1 - d₁) (1 - d₂) (1 - d₃)for L = $490, d₁ = 0.125, d₂ = 0.15, d₃ = 0.05

What amount when increased by 125% equals $787.50?

What amount when increased by 25% equals $100?

Solve the following pair of equations: 2x + 7y = -8 5x - 2y = 19

Solve the following to four decimal places $\left[\left(\frac{2}{3}\right)^{-4}\right]^{-2}$

Use the graphical method to solve the following pair of equations. x + y = 4 2x - y = 8

Solve for the following pair of equations to three figure accuracy 10.6x + 8.2y = 16.2 8.5x + 11.7y = 34.8

Solve the following set of equations graphically: 3x - 2y = 9 x = 3

A stockbroker's commission on a transaction is 2.5% of the first $5,000 of the transaction amount and 1.5% of the remainder. What was the amount of a transaction that generated a total commission of $227?

Tickets for the end of semester dance sold for $10 if purchased in advance, and $15 if purchased at the door. If 392 tickets were sold for a total of $4280, how many tickets were sold at the door?

Evaluate to six-figure accuracy: $\left(4^{4}\right)\left(3^{-3}\right)\left(-\frac{3}{4}\right)^{3}$

If the euro is worth 60% more than the Canadian dollar, how much less (in percentage terms) is the Canadian dollar worth than the euro?

Larissa works in a retail store in Square One in Mississauga. She earns a base salary of $320 per week, and a commission of 3% on sales over her quota of $5,000. If Larissa earned $515 last week, what was the value of her sales?