Exam 2: A: Review and Applications of Algebra

What amount reduced by 80% leaves $100?

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?

Use the graphical method to solve the following pair of equations.

Solve accurate to the cent:

Calculate the missing value: Initial Value =?; Final Value = $75; Percent Change = -50%

$100 is what percent less than $110?

Simplify:

Becker Tools sold 32,400 hammers at an average price of $15.10 in Year 1 and 27,450 hammers at an average price of $15.50 in Year 2. What was the percent change from Year 1 to Year 2 in: -The average selling price?

What amount when increased by 25% equals $100?

Calculate the missing value: Initial Value = 135kg; Final Value = 35kg; Percent Change =?

Solve for x to five-figure accuracy:

The profits from a partnership are to be distributed so that Grace receives 20% more than Kajsa, and Mary Anne receives five-eighths as much as Grace. How much should each receive from a total distribution of $36,000?

Solve the following pair of equations. Verify your solution. x - y = 2 3x + 4y = 20

Solve the following pair of equations. Verify your solution. 2.5a + 2b = 11 8a + 3.5b = 13

$100 is 10% less than what amount?

Evaluate: 3d² - 4d + 15 for d = 2.5

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?

What amount is 30% less than $300?

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?

Evaluate and calculate to the cent: for P = $1,280, i = 0.025, n = 3