Exam 2: Review and Applications of Algebra

Dash Canada offers two long-distance telephone plans. Plan X costs 13 cents per minute for calls between 8 a.m. and 6 p.m. weekdays (business hours) and 9 cents per minute at other times. Plan Y costs 10.6 cents per minute any time. Above what percentage of business-hour usage will Plan Y be cheaper?

$100 is what percent less than $125?

It takes 40 minutes to produce product A and 60 minutes to produce product B. Last week 60 hours were used in manufacturing both products. A total of 140 units were produced. Determine the number of product A and B produced.

What amount after a reduction of 25% equals $50?

Evaluate to six-figure accuracy: $\sqrt[3]{1.03}$

Simplify: $\left(\frac{3 a^{3} b^{2}}{a-b}\right)^{4}$

A convenience store sells canned soft drinks at $4.35 for a six-pack or 90 cents for a single can. If revenue from the sale of 225 cans of soft drinks on a weekend was $178.35, how many six-packs and how many single cans were sold?

Product X requires 30 minutes of machining on a lathe, and product Y requires 45 minutes of machining. If the lathe was operated for 60.5 hours last week for machining a combined total of 93 units of Products X and Y, how many units of each product were produced?

Evaluate to six-figure accuracy: (-27^2/3)

$100,000 is to be distributed under a firm's profit-sharing plan. Each of 3 managers is to receive 20% more than each of 26 production workers. How much will each manager and production worker receive?

The final value of $15^{\frac{2}{3}}$ is 10.25

Anders has $35,000 to invest. He invested part at 5.5% and part at 7%. His investments earned $2,195 total interest for the year. How much did Anders invest at each rate?

Perform the operation indicated and collect like terms: $\frac{4 a^{2} b^{3}-6 a^{3} b^{2}}{2 a b^{2}}$

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?

Evaluate to six-figure accuracy: (1.05)^1/6 - 1

Granola king wishes to mix raisins and granola together to create a cereal. Raisins are priced at $7.25 per Kg while granola is priced at $5.60. If the cereal is to be priced at $6.85 per Kg, then what is the appropriate mix of raisins and granola?

The stock market index decreased this month by one-thirteenth of last month's index. If this month's index is 2,400, what was last month's index?

The average selling price?

How much is $10,000 increased by ¾%?

Bill can do a task 35% faster than John. What percentage less time than John does Bill take to do a task?