Grade 8 Algebra: Word Problems: Square and Cube Roots

Name: ______________________Date: ____________Score: ____ / 8

Level 2

Working backwards

1. Solve:
$\text{A}$ $\text{square}$ $\text{park}$ $\text{has}$ $\text{an}$ $\text{area}$ $\text{of}$ $\text{400}$ $\text{square}$ $m\text{.}$ $\text{How}$ $\text{much}$ $\text{fence}$ $\text{goes}$ $\text{around}$ $\text{it?}$
2. Solve:
$\text{A}$ $\text{square}$ $\text{floor}$ $\text{needs}$ $\text{196}$ $\text{square}$ $\text{tiles}$ $\text{of}$ $\text{side}$ $\text{1}$ $\text{ft.}$ $\text{How}$ $\text{long}$ $\text{is}$ $\text{the}$ $\text{floor?}$
3. Solve:
$\text{Two}$ $\text{equal}$ $\text{cubes}$ $\text{have}$ $\text{a}$ $\text{total}$ $\text{volume}$ $\text{of}$ $\text{54}$ $\text{cubic}$ $\text{cm.}$ $\text{How}$ $\text{long}$ $\text{is}$ $\text{each}$ $\text{edge?}$
4. Solve:
$\text{A}$ $\text{number}$ $\text{squared}$ $\text{plus}$ $\text{11}$ $\text{equals}$ $\text{60.}$ $\text{What}$ $\text{could}$ $\text{the}$ $\text{number}$ $n\text{}$ $\text{be?}$
5. Solve:
$\text{A}$ $\text{number}$ $\text{cubed}$ $\text{minus}$ $\text{5}$ $\text{equals}$ $\text{3.}$ $\text{What}$ $\text{is}$ $\text{the}$ $\text{number}$ $n\text{?}$
6. Solve:
$\text{A}$ $\text{square}$ $\text{has}$ $\text{the}$ $\text{same}$ $\text{area}$ $\text{as}$ $\text{a}$ $\text{4}$ $m\text{}$ $\text{by}$ $\text{9}$ $m\text{}$ $\text{rectangle.}$ $\text{How}$ $\text{long}$ $\text{is}$ $\text{its}$ $\text{side?}$
7. Solve:
$\text{A}$ $\text{cube}$ $\text{has}$ $\text{a}$ $\text{volume}$ $\text{of}$ $\text{216}$ $\text{cubic}$ $\text{in.}$ $\text{What}$ $\text{is}$ $\text{its}$ $\text{surface}$ $\text{area?}$
8. Solve:
$\text{A}$ $\text{square}$ $\text{poster}$ $\text{has}$ $\text{a}$ $\text{perimeter}$ $\text{of}$ $\text{48}$ $\text{in.}$ $\text{What}$ $\text{is}$ $\text{its}$ $\text{area?}$