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Algebra L1-4 Quiz v2

Last updated over 2 years ago

6 questions

1

1

1

1

1

Question 5

5.

1

Question 1

1.

Question 2

2.

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

Question 3

3.

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?

\pi=\frac{r^{2}h}{V}

\pi=\frac{V}{r^{2}h}

\pi=\frac{V}{h}\sqrt{r}

It is not possible to express \pi in terms of variables, because the variables can change their value, but \pi is always the same number.

Question 4

4.

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?

r=\frac{P}{It}

r=P-It

r=\frac{It}{P}

r=\frac{P-I}{t}

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=)

Question 6

6.

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

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.)

t=\frac{d}{r}

t=\frac{r}{d}

r\cdot t=d

d\cdot t=r

d=\frac{r}{t}

t=r\cdot d

r = \frac{t}{d}

d=\frac{t}{r}

rt=\frac{d}{t}

d\cdot r=\frac{t}{r}