Algebra L1-4 Quiz v2

By Sam Schneider
Last updated about 1 year ago
6 Questions

Which of the following are equivalent expressions to the definition of a rate r=\frac{d}{t}? That is, which can be derived by starting with the definition and using valid equation-manipulation steps? (Suggestion: solve the rate definition for each of the different variables, and find your answers in the choices below.)

Which choice gives the correct expression solving the following equation for b?

The equation for the volume of a cylinder is V=\pi r^{2}h where V is the volume, r is the radius, and h is the height of the cylinder. Which equation correctly expresses the constant \pi as a ratio of other terms?

In finance, the amount of money you deposit or borrow is often called a "principle", and the amount of interest you earn or owe is calculated as a percent of that principle amount. If interest is "simple" (or "non-compounded"), we can use the formula P=Irt, where P and I represent the principle and interest, r the interest rate per time period, and t the number of time periods, Which equation will give the rate in terms of the other factors?

To convert between the Fahrenheit and Kelvin temperature scales (degrees Kelvin is a useful way of talking about really cold temperatures) , we use
Solve this equation to give F in terms of K (make an equivalent expression that starts with F=)

Use the equation you derived in question 5 to convert 0^{\circ} K ("absolute zero") into degrees Fahrenheit.