1-5 Using Formulas — Practice Questions

1. 1. Solve the formula $r = \frac{dc}{1 - ec}$ for $c$. $c = $ ___.

2. 2. Solve the formula $m = \frac{2E}{v^2}$ for $E$. $E = $ ___.

3. 3. Solve the formula $a = \frac{F}{m + M}$ for $m$. $m = $ ___.

4. 4. Solve the formula $\frac{1}{R} = \frac{1}{A} + \frac{1}{B}$ for $A$. $A = $ ___.

5. 5. Solve the formula $w = 0.622\frac{e}{P - e}$ for $e$. $e = $ ___.

6. 6. Solve the formula $V = \frac{hT}{P}$ for $T$. $T = $ ___.

7. 7. Solve the formula $m = \frac{y - k}{x - h}$ for $x$. $x = $ ___.

8. 8. Solve the formula $I = \frac{E}{R + r}$ for $R$. $R = $ ___.

9. 9. A python is 108 inches long. Using the fact that 1 foot = 12 inches, find the length of the python in feet. ___

10. 10. Which expression correctly converts 4.5 feet to inches using dimensional analysis? (Given: 1 foot = 12 inches)

    • A. $4.5 \ \operatorname{feet} \times \frac{12 \ \operatorname{inches}}{1 \ \operatorname{foot}}$
    • B. $4.5 \ \operatorname{feet} \times \frac{1 \ \operatorname{foot}}{12 \ \operatorname{inches}}$
    • C. $4.5 \ \operatorname{feet} \div \frac{12 \ \operatorname{inches}}{1 \ \operatorname{foot}}$
    • D. $4.5 \ \operatorname{feet} + 12 \ \operatorname{inches}$