Solving Equations with Roots

Solving Equations with Roots

Assessment

Interactive Video

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

Created by

Thomas White

FREE Resource

This video tutorial explains how to solve equations involving square roots, and the methods can be extended to cube roots and other roots. The process involves isolating the root, squaring both sides, solving the resulting equation, and checking solutions for validity. Two examples are provided: one with a single square root and another with multiple square roots. The video concludes with contact information for further questions.

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37 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary focus of the video tutorial?

Solving linear equations

Solving equations with roots

Graphing quadratic functions

Understanding logarithms

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which types of roots can the discussed method be applied to?

Only square roots

Square and cube roots

Square, cube, and fourth roots

Only cube roots

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving an equation with roots?

Square both sides

Isolate the root

Add a constant to both sides

Use the quadratic formula

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you do after isolating a square root in an equation?

Add 5 to both sides

Square both sides

Subtract 1 from both sides

Cube both sides

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of isolating the root in an equation?

To eliminate the root

To prepare for squaring or cubing

To simplify the equation

To make the equation linear

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you do if there are multiple roots in an equation?

Subtract all roots

Ignore the roots

Add all roots together

Isolate and eliminate each root one by one

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving an equation with multiple roots?

Add all roots together

Isolate one of the roots

Ignore the roots

Subtract all roots

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