Which of the following sentences translates to the algebraic equation ?

Solve the following system of linear equations by the elimination method:

Rewrite the expression in simplest terms, where is the imaginary number .

Translate the following sentence into an algebraic expression:

"Nine plus the quotient of an unknown number and six"

(9_x_2 – 1) / (3_x_ – 1) =

Translate the following sentence into an algebraic expression:

"The square root of the sum of 5 and twice an unknown number"

Translate the following sentence into an algebraic expression:

"The difference between 7 and the quotient of an unknown number and 3"

Express seventeen times .

To reduce pollution the San Francisco Bay Area, the state government offers a cash rebate to manufacturing plants who can reduce the number of metric tons of sulfur they emit annually. For every metric ton of sulfur that a factory does NOT emit, they will recieve a cash rebate of $100. However, if the factory emits MORE sulfur than they normally do, then they are fined $100 per each additional metric ton.

Provided with this information, create a slope-intercept equation, where represents the DIFFERENCE in metric tons of pollution, and represents the amount of the rebate/fine.