Exam 2: Review of Basic Algebra

ABC financial has introduced a stock option incentive program. For a total of 301,375 options, each of the 3 executives receives twice as many options as the senior managers. Each senior manager receives twice the options as each of the middle managers and each of the middle managers receives 1.5 times the options as each of the employee. If there are 25 senior managers, 75 middle managers and 1000 employees, how many options will the each executive receive?

Calculate up to 4 decimals: 4826809^1/6

Evaluate y: y = (3x² - x - 1)- (5 - 2x - x²)for x = -3

A machine requires 4 hours to make a unit of Product A and 7 hours to make a unit of Product B. The machine operated for 810 hours producing a total of 150 units. How many units of Product B were produced?

Solve: = for V

Simplify: 3ax - 4x + 1 - 7 + 3x - 4ax

Old Navy had $940 worth of orders for shirts. The prices for the shirts were categorized by style: $10 for tank tops, $14 for graphic tees, and $22 for polos. The number of polos ordered was one more than half the number of graphic tees, and the number of graphic tees ordered was eight less than twice the number of tank tops. Determine the number of each type of shirt ordered.

Simplify: (4a - 1)(a - 3a + 1)

Simplify: x - 0.32x

An electronics company has been producing 1705 CD Players a day working two shifts. The second shift has produced 95 CD players fewer than four-fifths of the number of CD players produced by the first shift. Determine the number of CD players produced by the second shift.

Evaluate p: p = s , where s = 3120, r = 0.123, t = 295

Evaluate r: r = , where I = 200, P = 800, t =

Solve for x: 2x - 1.5x = 410

Compute:

Calculate up to 4 decimals:

Compute the value of (four decimal places):

Calculate with final answer in fractional form: 390625-1/8

Simplify:

ln

Solve: 0.5x - 0.75 + 9x = 5x + 1.5