Exam 2: A: Review and Applications of Algebra

To coordinate production in a three-stage manufacturing process, Stage B must be assigned 60% more workers than Stage A. Stage C requires three-quarters as many workers as Stage B. How should the foreman allocate 114 workers among the three stages?

Evaluate: 7x(4y - 8) for x = 3.2, y = 1.5

Solve: (x - 2) = 4

An investor purchased shares of Digger Resources at a price of $0.55 per share. One year later, the shares traded at $1.55, but they fell back to $0.75 by the end of the second year after the date of purchase. Calculate the percent change in the share price: -In the second year

What amount is 17.5% more than $29.43?

Albion Distributors' revenues and expenses for the fiscal year just completed were $2,347,000 and $2,189,000, respectively. a) If in the current year revenues rise by 10% but expense increases are held to 5%, what will be the percent increase in operating profit? b) If, instead, revenues decline by 10% and expenses are reduced by 5%, what will be the percent change in operating profit?

Evaluate to six-figure accuracy:

Simplify and collect like terms: 4x²y + (-3x²y) - (-5x²y)

Perform the operation indicated and collect like terms: -5xy(2x² - xy - 3y²)

Simplify and collect like terms:

Solve accurate to the cent:

Steel is an alloy of iron and nickel. A steel recycling company has two piles of scrap steel. Pile A contains steel with 5.25% nickel content. Pile B contains steel with 2.84% nickel. The company has an order for 32.5 tonnes of steel containing 4.15% nickel. How much scrap steel should be taken from each pile for reprocessing?

What amount when increased by 125% equals $787.50?

Perform the operation indicated and collect like terms:

Evaluate to six-figure accuracy:

What amount after being increased by 210% equals $465?

Evaluate and calculate to the cent: for R = $910, i = 0.1038129, n = 4

How much is $900 after a decrease of 90%?

Evaluate to six-figure accuracy:

Perform the operation indicated and collect like terms: 4a(3ab - 5a + 6b)