Grade 8 Algebra: Word Problems: Exponents

Name: ______________________Date: ____________Score: ____ / 6

Level 2

Using the exponent rules

1. Solve:
$\text{A}$ $\text{box}$ $\text{holds}$ $10^{3}\text{}$ $\text{pencils.}$ $\text{A}$ $\text{store}$ $\text{has}$ $10^{4}\text{}$ $\text{boxes.}$ $\text{How}$ $\text{many}$ $\text{pencils}$ $\text{are}$ $\text{there}$ $\text{in}$ $\text{total?}$
2. Solve:
$\text{A}$ $\text{hard}$ $\text{drive}$ $\text{holds}$ $2^{30}\text{}$ $\text{bytes.}$ $\text{Each}$ $\text{file}$ $\text{uses}$ $2^{10}\text{}$ $\text{bytes.}$ $\text{How}$ $\text{many}$ $\text{files}$ $\text{fit?}$
3. Solve:
$\text{A}$ $\text{cube}$ $\text{has}$ $\text{edge}$ $\text{length}$ $3x^{}\text{.}$ $\text{Write}$ $\text{an}$ $\text{expression}$ $\text{for}$ $\text{its}$ $\text{volume.}$
4. Solve:
$\text{A}$ $\text{square}$ $\text{garden}$ $\text{has}$ $\text{side}$ $\text{length}$ $5^{2}\text{}$ $\text{meters.}$ $\text{Find}$ $\text{its}$ $\text{area.}$
5. Solve:
$\text{A}$ $\text{rumor}$ $\text{reaches}$ $\text{4}$ $\text{times}$ $\text{as}$ $\text{many}$ $\text{people}$ $\text{each}$ $\text{day.}$ $\text{On}$ $\text{day}$ $\text{1,}$ $\text{4}$ $\text{people}$ $\text{know}$ $\text{it.}$ $\text{How}$ $\text{many}$ $\text{know}$ $\text{it}$ $\text{on}$ $\text{day}$ $\text{5?}$
6. Solve:
$\text{Light}$ $\text{travels}$ $\text{about}$ $3\times 10^{5}\text{}$ $\text{km}$ $\text{per}$ $\text{second.}$ $\text{How}$ $\text{far}$ $\text{does}$ $\text{it}$ $\text{travel}$ $\text{in}$ $10^{2}\text{}$ $\text{seconds?}$