IM Alg2.3.8 Practice: Cubes and Cube Roots

[size=150]Select [b]all[/b] equations for which -3 is a solution.[/size]
[size=150]Use the graph of [math]y=\sqrt[3]{x}[/math] to estimate the solution(s) to the following equations.[br][math]\sqrt[3]{x}=2[/math][/size]
[math]\sqrt[3]{x}=\text{-}4.5[/math]
[math]\sqrt[3]{x}=3.75[/math]
[size=150]Use the meaning of cube roots to find exact solutions to all three equations.[br][math]\sqrt[3]{x}=2[/math][/size]
[math]\sqrt[3]{x}=\text{-}4.5[/math]
[math]\sqrt[3]{x}=3.75[/math]
[size=150]Which are the solutions to the equation [math]x^3=\text{-}125[/math]?[/size]
Complete the table. Use powers of 16 in the top row. Use radicals or rational numbers in the second row.
[size=150]Which are the solutions to the equation [math]\sqrt{x}=\text{-}8[/math]?[/size]
Find the solution(s) to each equation, or explain why there is no solution.
[math]x^2+6=55[/math]
[math]x^2+16=0[/math]
[math]x^2-3.25=21.75[/math]
Close
– GeoGebra Classroom Activities, IM Algebra 1, Geometry, Algebra 2

Information: IM Alg2.3.8 Practice: Cubes and Cube Roots