Solving Radical Equations Quiz

Solving Radical Equations Quiz

Assessment

Interactive Video

Mathematics

8th - 10th Grade

Hard

Created by

Lucas Foster

FREE Resource

This video tutorial explains how to solve radical equations by eliminating the square root through squaring both sides of the equation. It covers rearranging terms to simplify the equation, factoring the resulting trinomial using the area model method, and finding solutions by setting each factor to zero. The tutorial provides a step-by-step approach to solving the equation x = √(x - 10), resulting in solutions x = 2 and x = 5.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving a radical equation?

Add a constant to both sides

Multiply both sides by a constant

Square both sides of the equation

Divide both sides by a variable

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why do we square both sides of the equation in this example?

To eliminate the square root

To add a constant

To simplify the equation

To eliminate the variable

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of rearranging the equation to equal zero?

To add a constant

To eliminate the variable

To prepare for factoring

To simplify the equation

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which method is used to factor the trinomial in this example?

Quadratic formula

Completing the square

Synthetic division

Area model method

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the factors of the trinomial x^2 - 7x + 10?

(x - 2)(x - 5)

(x + 3)(x - 3)

(x - 1)(x - 10)

(x + 2)(x + 5)

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the GCF of the first row in the area model?

x

2

5

10

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of finding the GCF in the area model?

To eliminate the variable

To determine the factors

To find the roots

To simplify the equation

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