Review 2.1-2.2 Square Roots and Cube Roots

​Review - 2.1 - 2.2

By Benny Boyd

​Success Criteria:
I will show success when I can ...
1. Solve problems with square roots.
2. Solve problems with cube roots.
3. Solve equations with square roots and cube roots

This review can be completed more than once, but must be done by the due date.

Math Response

The area of the square pool on Mr. Carr's vacation was 256 ft². How long was one side of the pool?

Type answer here

Correct Answer: 16

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Math Response

Mr. Jarowski is hanging a square picture frame that has ab area of 169 cm². Find the side length of the frame.

Type answer here

Correct Answer: 13

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Math Response

√196 = ______

Type answer here

Correct Answer: 14

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Math Response

$$\sqrt[]{100}\ +\sqrt[]{16\ }\ =$$  

Type answer here

Correct Answer: 14

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Math Response

$$\sqrt[]{49}$$  

Type answer here

Correct Answer: 7

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​Cube roots

​The opposite of cubing a number.

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​Think ____ x ____ x ____ (all the same number) = 64

Math Response

$$\sqrt[3]{27}$$  

Type answer here

Correct Answer: 3

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Math Response

$$\sqrt[3]{125}$$  

Type answer here

Correct Answer: 5

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Math Response

$$\sqrt[3]{8}$$  

Type answer here

Correct Answer: 2

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Math Response

Evaluate the expression.

Type answer here

Correct Answer: -21

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Math Response

Evaluate the expression.

Type answer here

Correct Answer: 10

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​Solving Equations with Square Roots

• ​​Watch the video

• ​Record the examples and information on the notes page or in your notebook.

• ​Complete the "You Try" and check your work with Mrs. Jackson.

• ​Then, continue the rest of the lesson to get at least an 80%

Multiple Choice

How do you solve the equation: $$x^2\ =\ 100$$  

• Take  $$100^2$$  

• Take  $$\sqrt{100}$$  

• Multiply 100 by 2 

Multiple Choice

How many solutions do Squared Equations have?  Example: $$m^2=16$$  

• 1

• 2

• 3

Multiple Choice

Is the equation solved correctly?

$$x^2=25$$  

$$\sqrt{x^2}=\sqrt{25}$$   $$x=5$$  

• YES

• NO

Multiple Choice

Is the equation solved correctly?

$$x^2=64$$  

$$\sqrt{x^2}=\sqrt{64}$$   $$x=\pm8$$  

• YES

• NO

Multiple Select

Solve

$$y^2=36$$  

• y=-6

• y=-9

• y=6

• y=9

• y=3

​The same concept applies when inverting cubes.

Math Response

What is the value of $$\sqrt[3]{125}$$  

Type answer here

Correct Answer: 5

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Multiple Choice

Find $$\sqrt[3]{343}$$  

• 3

• 7

• 13

• 33

Math Response

Type answer here

Correct Answer: -9

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Math Response

Type answer here

Correct Answer: \frac{1}{3}

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Math Response

Type answer here

Correct Answer: -\frac{7}{9}

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Math Response

$$\sqrt{\left(\frac{16}{81}\right)}\ \ =\ ?$$  

Type answer here

Correct Answer: \frac{4}{9}

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Math Response

Solve for p when $$p^2=100$$  

Type answer here

Correct Answer: \pm10

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Math Response

Solve for x when $$x^3=\frac{1}{8}$$  

Type answer here

Correct Answer: \frac{1}{2}

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Math Response

A cube with side length s has a volume of 64 cubic units. What is the length of one side?

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Correct Answer: 4

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Poll

Is  $$8^3$$  the same thing as  $$8\times3$$  ?

• Yes

• No

Math Response

Solve

$$x^2=25$$  

Type answer here

Correct Answer: \pm5

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Math Response

Solve

$$y^2=36$$  

Type answer here

Correct Answer: \pm6

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Math Response

Solve

$$z^2=81$$  

Type answer here

Correct Answer: \pm9

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​End of review