Solving Square Root Equations

Presentation

•

Mathematics

•

11th Grade

•

Medium

•

CCSS

HSA.REI.A.2, 7.EE.B.4A, HSA-REI.B.4B

Standards-aligned

Krystal Hill

Used 4+ times

FREE Resource

7 Slides • 15 Questions

Solving Square Root Equations

By Krystal Hill

Solving Radical Equations.

When Solving Radical Equations, follow these steps.

1. Get the radical by itself on one side of the equation.

2. Raise both sides of the equation to the power of the index.

3. Solve.

* Always check your answers.

Multiple Choice

What is the first step?

Square both sides

Add 6 to both sides

Subtract 6 to both sides

Square Root both sides

Multiple Choice

What is the next step?

Square both sides

Square root both sides

Add 6 to both sides

Subtract 6 to both sides

Multiple Choice

What is the next step?

Subtract 6 to both sides

Add 6 to both sides

Divide both sides by -15

Square both sides

Multiple Choice

Solve the problem the rest of the way.

x = -5

x = 5

x = 10

x = 25

To check, plug in your answer and see if it works!

Multiple Choice

What is the first step?

Add 2 to both sides

Subtract 2 to both sides

Square root both sides

Square both sides

Multiple Choice

Solve the problem the rest of the way.

x = 102

x = 12

x = 98

x = 7

To check, plug in your answer and see if it works!

Open Ended

What is the first step?

Type response here

Multiple Choice

Solve the problem the rest of the way.

v = 1

v = 14

v = 28

v = 7

To check, plug in your answer and see if it works!

Multiple Choice

What is the first step?

$\sqrt{8x}=x$

Square both sides

Add x to both sides

Square root both sides

Divide both sides by 8

Multiple Choice

Because of the power (highlighted in blue) we have a quadratic. This means we have to factor. In order to do so, the equation must be equal to what?

It doesn't matter

Multiple Choice

Solve the rest of the way.

x = 0

x = 8

x = -8, 0

x = 8, 0

To check, plug in your answer and see if it works!

Multiple Choice

What is the first step?

$\sqrt{12-a}+7a=8a$

Add 7a to both sides

Subtract 7a to both sides

Square root both sides

Square both sides

Multiple Choice

What is the next step?

Square both sides

Square root both sides

Add 12 to both sides

Subtract 12 to both sides

Multiple Choice

Solve the problem the rest of the way.

a = 0

a = 3

a = 3, -4

a = -4, 0

To check, plug in your answer and see if it works!

Poll

How confident do you feel about solving these types of equations?

Solving Square Root Equations

By Krystal Hill

Show answer

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