Exam 2: Review and Applications of Algebra

Evaluate: I ¸ Pr for P = $500, I = $13.75, r = 0.11

Calculate the missing value: Initial Value = $134.39; Final Value =?; Percent Change = -12%

Evaluate the following: $\sqrt[4]{(121.89)^{2}}$

TinyTot School purchases the same amount of milk and orange juice each week. After price increases from $1.10 to $1.15 per litre of milk and from $0.98 to $1.14 per can of frozen orange juice, the weekly bill rose from $42.20 to $45.85. How many litres of milk and cans of orange juice are purchased every week?

Simplify the following: $\left(\frac{4 x}{2 x^{3}}\right)^{-2}\left(\frac{3 y^{2}}{2 y^{3}}\right)^{2}\left(\frac{3 x y}{5}\right)^{-1}$

Simplify and collect like terms: 1 - (3x - xy + y) - (-x + y - 5xy)

The retail price of a pair of skis consists of the wholesale cost to the retailer plus the retailer's markup. If skis retailing for $712 are marked up by 60% of the wholesale cost, what is that wholesale cost?

A hospital can increase the dollar amount budgeted for nurses' overtime wages during the next year by only 3%. The nurses union has just won an 11% hourly rate increase for the next year. By what percentage must the hospital cut the number of overtime hours in order to stay within budget?

Marilyn bought a stock for $80 last week. Yesterday, the stock went up by 20%. Today it dropped by 20%. What is the current value of the stock?

Simplify and collect like terms: (7m³ - m - 6m² + 10) - (5m³ - 9 + 3m - 2m²)

If operating expenses are 25% of revenue, by what percentage does revenue exceed operating expenses?

Simplify: 2a - (-a) + 4a - 5a

Evaluate the following: -16^5/4

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

A company laid off 80% of its work force. The number of employees after the layoff is 3,000. How many employees were there before the layoff?

Sears reported that its sales in January were down 17.4% from its sales in December. What percentage were December sales of January sales?

A car dealer normally lists cars at 25% above cost. During a sale the manger offered a 10% reduction. If a car sold for $20,812.50, what was the cost price to the dealership?

Simplify: (n^0.5)⁸⁺

Fluffy laundry detergent reduced its regular size from 3.6 kg to 3 kg. The retail price dropped from $7.98 to $6.98. What was the percent change in the unit price?

Mr. and Mrs. Chudnowski paid $1,050 to fly with their three children from Winnipeg to Regina. Mrs. Ramsey paid $610 for herself and two children on the same flight. What were the airfares per adult and per child?