Unit 8, Lesson 15

Cube Roots

Grade 8

Practice

Problem 1

Find the positive solution to each equation. If the solution is irrational, write the solution using square root or cube root notation.

Problem 2

For each cube root, find the two whole numbers that it lies between.

Problem 3

Order the following values from least to greatest:

Problem 4

Select all the equations that have a solution of :

Problem 5

The equation has two solutions. This is because both , and also . So 5 is a solution, and is also a solution. But! The equation only has one solution, which is 5. This is because , and there are no other numbers you can cube to make 125. (Think about why is not a solution!)

Find all the solutions to each equation.

Problem 6

ForLesson 9: Finding Unknown Side Lengths

Find the value of each variable, in units, to the nearest tenth.

A triangle has a horizontal side labeled "d." The other two sides of the triangle are each labeled 11. A vertical dashed line extends from the vertex above the horizontal side to the horizontal side and is labeled 8. A right angle symbol is indicated between the vertical dashed line and the horizontal side.

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