Solving Square Roots

​x

​Equations

​2

The Area of a Square

Last week we reviewed that to find the area of a square you multiply the side length times itself.

Answer the following questions to show you understanding of this concept.

Subject | Subject

Some text here about the topic of discussion

Multiple Choice

What is the area of a square with a side of 7?

• 14
• 28
• 49
• 64

Multiple Choice

What is the area of a square with a side of 12?

• 144
• 24
• 48
• 6

Multiple Choice

When calculating the area of a square, you only need to know the measurement of 1 side because they are all the same.

• True

• False

Multiple Choice

Find the area of this square

• 10

• 10 square units

• 40 units

• 100 square units

Multiple Choice

Find the area of this square

• 30 units

• 45 square units

• 225 units²

• 220 square units

"Squaring a Number"

Since we started the year with a unit on exponents, we learned that when we multiply a number times itself we use an exponent of 2.

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This is we we usually call it "SQUARING A NUMBER" when a number has an exponent of 2​

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Show your understanding of this idea by answering a few questions.​

Subject | Subject

Some text here about the topic of discussion

Multiple Choice

What is $$4^2$$  ?

• 2

• 4

• 8

• 16

Multiple Choice

Which of the following represents 4² ?

Multiple Choice

Which of the following shows 6²?

Multiple Choice

The picture represents which expression?

• 5 x 2

• 5²

• 5 + 5

• 30

Multiple Choice

A perfect square is when a whole number is multiplied by itself?

• FALSE
• TRUE

​Finding a Square Root

Math 8 - Square root equations

It wouldn't be a bad idea to put this in your calculator

​= 3

Multiple Choice

Square root is the inverse of ____________.

• Cube Roots
• Squaring
• Multiplication
• Absolute Value

Multiple Choice

To find the square root of a number, you must divide it by 2.

• True
• False

Multiple Choice

What is the square root of 100?

√100

• 10

• 200

• 50

• 1000

Multiple Choice

What is the square root of 36?

√ 36

• 4

• 6

• 18

• 1296

Multiple Choice

What is the square root of 81?

• 3

• 162

• 6561

• 9

Multiple Choice

What is $$\sqrt[]{64}$$  ?

• 64

• 8

• 32

• 128

Multiple Choice

Mr. A wants to buy the iPod shuffle. If the area of the iPod was 9 cm², how long was the side of the iPod shuffle?

• 3 cm

• 9 cm

• 4.5 cm

• 4 cm

One of the reasons we reviewed area and learned about squaring and finding square roots so that we could solve equations where a number is being squared.

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Work through the next few slides to think about what you would do with an x squared equation. ​

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Subject | Subject

Some text here about the topic of discussion

Open Ended

Here is a statement to get you started with this idea.

I'm thinking of a number that when you square the number you get 121

What operation is being done to the unknown number?

Open Ended

This is the equation that represents that situation.

What should you do to solve the equation?

Hopefully you said that you would find the square root of 121.

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Here is what it could look like to solve an equation where this happens.​

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Try some questions on your own

Solving an "x squared" equation

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Multiple Choice

$$x^2=81$$  

• $$x=9$$  

• $$x=-9$$  

• $$x=6561$$  

• $$x=+9,\ or\ -9$$  

​Some text here about the topic of discussion.

uh-oh... Did you get that wrong?​

​

Multiple Choice

$$x^2=49$$  

• $$x=7$$  

• $$x=+7,\ or\ -7$$  

• $$x=\pm5.57$$  

• $$x=49$$  

Multiple Choice

$$x^2=225$$  

• $$x=\pm9$$  

• $$x=+18,\ or\ -18$$  

• $$x=15$$  

• $$x=+15,\ or\ -15$$  

Multiple Choice

$$x^2=1$$  

•   $$x\ =\ +1,\ or\ -1$$  

• No Solution 

• $$x=\pm11.79$$  

• $$x=\pm11$$  

Multiple Choice

$$x^2=64$$  

• $$x=+8\ or-8$$  

• No Solution

• $$x=-8$$  

• $$x=8$$  

THANK YOU​!!

- MR. A - ​

​Now that you've finished this Quizizz Lesson, Please go back to google classroom and work on the IXL link in our Google Classroom Stream