SOLVING RADICAL EQUATIONS

SOLVING RADICAL EQUATIONS

Assessment

Interactive Video

Mathematics

8th Grade

Practice Problem

Easy

Created by

Richard Cabalza

Used 1+ times

FREE Resource

17 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

'n' is the index and 'ax + b' is the radicand.

'n' is the radicand and 'ax + b' is the index.

'n' is the exponent and 'ax + b' is the base.

'n' is the coefficient and 'ax + b' is the variable.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What defines a radical equation?

An equation where the variable is under a radical or has a rational exponent.

An equation with only integer exponents.

An equation that always results in an extraneous solution.

An equation that contains only quadratic terms.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial step when solving radical equations?

Isolate the radicals and identify the index.

Raise both sides of the equation to the index of the radical.

Apply algebraic techniques like factoring.

Check your solutions for extraneous solutions.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which statement accurately defines an extraneous solution?

A solution of the transformed equation that does not satisfy the original equation.

A solution that satisfies both the transformed and original equations.

A solution found before applying algebraic techniques.

A solution that only applies to linear equations.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is an extraneous solution in the context of radical equations?

A solution that satisfies the original equation but not the transformed equation.

A solution that satisfies both the original and the transformed equation.

A solution that satisfies the transformed equation but not the original equation.

A solution that is always negative.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the solution for the equation √(x) = 5?

x = 5

x = 10

x = 25

x = -25

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of x that satisfies the equation √(2x - 5) = 7?

x = 22

x = 27

x = 32

x = 37

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