Exam 2: B: Review and Applications of Algebra

The final value of (d⁷)⁴ is d¹¹.

The manufacturer of Caramalt chocolate bars wants to implement a 7.5% increase in the unit retail price along with a reduction in the bar size from 100 g to 80 g. If the current retail price of a 100-g bar is $1.15, what should be the price of an 80-g bar?

$754.30 is what percent less than $759.00?

How much is $56 increased by 65%?

Simplify the following:

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

Executive Fashions sold four-sevenths of its inventory at cost in a bankruptcy sale. The remainder was sold to liquidators for $6,700 representing 45% of the cost of the goods. a) What was the original cost of the inventory that was sold to the liquidators? b) What were the proceeds from the bankruptcy sale?

How much is $150 after an increase of 150%?

What was the percent change in unit price when a box of tissues dropped from 400 to 350 tissues per box? (with no change in the price per box)?

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?

Solve for x:

The final value of is 10.25

Evaluate the following: =

What sum of money, increased by 7% equals $187.25?

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?

The value of c is 4 given the formula .

BCIT is considering decreasing its student to teacher ratio by 20%. Currently there are 35 students per instructor. By what amount should instructors be increased?

The difference between two numbers is 42. If one-half of the larger number is three more than twice the smaller number, what are the two numbers?

Elegance shampoo has a suggested retail price of $4.49 for its 500 ml bottle. The manufacturer of the shampoo wants to increase the unit retail price by 10% at the same time that it reduces the container size to 425 ml. What should be the suggested retail price of the smaller bottle?

The Vancouver Real Estate Board stated that the average house price was $405,000 this year; an 8% increase over the same time last year. Determine the average house price last year.