There are 80 students in a school. Every student is taking either algebra or pre-calculus, and some students are taking both. There are 60 students in the algebra class. If 15 students are taking both algebra and pre-calculus, what is the probability that a randomly selected student is taking pre-calculus but not algebra?

What is the value of \(x\) in the following equation?

\(\dfrac{2}{3}x + 2 = 4\)

What are the solutions to the following equation?

\(x^2 + 8x + 15 = 0\)

Solve:

\(\sqrt{5}\sqrt{3} = \; ?\)

The office supply superstore sells pens for 60 cents each and pencils for 40 cents each. Diane purchased a total of 17 items (pens and pencils) for $8.20. How many pens did Diane purchase?

A scoutmaster is preparing his troop for their annual fishing expedition. He surveys each of his scouts to find out how many fishing poles they own. What is the mode of the number of poles owned?

Simplify: \((x^6)(x^5)\)

The points represented by the \((x, y)\) coordinate pairs in the table below all lie on line \(k\). What is the slope of line \(k\)?

\(x^4 − 16 = \; ?\)

A ball is thrown straight up from a platform. Its height in feet after \(t\) seconds is given by

\(h(t) = −16t^2 + 32t + 20\)

What is the maximum height the ball reaches?