Exam 12: Review of Basic Concepts and Skills

Use the following to answer questions : The cost C, in millions of dollars, for a government to find and seize P% of an illegal drug is modeled by the rational equation . -What is the cost of seizing 60% of the drugs?

Use the following to answer questions : -List all the numbers in the set that are elements of H.

Compute as indicated. Write your answer in lowest terms.

Evaluate/simplify the expression. - | -16 |

Factor the difference of perfect cubes completely. 27a³ - 1000

Evaluate 4x²y given x = -3 and y = 5.

Factor the trinomial completely. 9x² - 30x + 25

Use the following to answer questions : The cost C, in millions of dollars, for a government to find and seize P% of an illegal drug is modeled by the rational equation . -Why does the cost increase dramatically the closer you get to 100%?

Simplify by removing all grouping symbols and combining like terms. 2a + (-8a)

Evaluate without a calculator, using the order of operations.

Perform the operation indicated mentally or using pencil/paper. -16 - (-20)

Compute the product and simplify the result.

Simplify by combining like terms. 4x + 14x² - 9x - 5x²

Compute as indicated. Write final results in lowest terms.

Factor the trinomial completely. 3x² + 20x + 25

Rewrite the expression as a compound fraction. Then simplify using either method.

Evaluate given x = 5 and y = -3.

Simplify the expression using the product to a power property. (-10ab⁷)²

Compute the product. (x + 4)(x - 4)(x + 1)

Factor out the common binomial factor. 10x(x - 5) - 7(x - 5)