Literal Equations and Formulas Practice — Grade 11 math

Lesson 4: Literal Equations and Formulas — Practice Questions

1. A bus travels 350 miles in 5 hours. Its average speed is ___ miles per hour.
2. A train travels at an average speed of 65 mph. How many hours will it take to cover a distance of 195 miles? The time is ___ hours.
3. If you know the distance a car traveled ($d$) and the time it took ($t$), which formula correctly finds its average rate of speed ($r$)?
- A. $r = d \cdot t$
- B. $r = \frac{d}{t}$
- C. $r = \frac{t}{d}$
- D. $r = d - t$
4. An airplane flies 1680 kilometers in 3 hours. What is its average speed in kilometers per hour? The average speed is ___ km/h.
5. A boat travels a distance of 225 miles at a constant speed of 50 mph. How many hours does the trip take?
- A. 4 hours
- B. 4.5 hours
- C. 5 hours
- D. 5.5 hours
6. Solve the formula for the area of a trapezoid, $A = \frac{h}{2}(b + c)$, for the height, $h$.
- A. $h = \frac{2A}{b+c}$
- B. $h = \frac{A(b+c)}{2}$
- C. h = 2A - (b+c)
- D. $h = \frac{A}{2(b+c)}$
7. Solve for $h$ in the formula $A = \pi rh + 2\pi r^2$. The formula for $h$ is $h = $ ___.
8. Solve the formula $A = \frac{h}{2}(b + c)$ for $h$.
- A. $h = \frac{2A}{b+c}$
- B. $h = \frac{A(b+c)}{2}$
- C. $h = 2A - b - c$
- D. $h = \frac{A}{2(b+c)}$
9. Solve the formula for converting Celsius to Fahrenheit, $F = \frac{9}{5}C + 32$, for Celsius, $C$.
- A. $C = \frac{5}{9}(F - 32)$
- B. $C = \frac{9}{5}(F - 32)$
- C. $C = \frac{5}{9}F - 32$
- D. $C = F - 32 - \frac{9}{5}$
10. Solve the formula $A = \pi rh + 2\pi r^2$ for $h$.
- A. $h = \frac{A - 2\pi r^2}{\pi r}$
- B. $h = \frac{A}{\pi r} - 2\pi r^2$
- C. $h = A - 2\pi r^2 - \pi r$
- D. $h = \frac{A}{\pi r + 2\pi r^2}$