Perfect Squares and Cubes

Perfect Squares and Cubes

by Susan Kahler

Multiple Choice

What is $$3^2$$  ?

• 6

• -6

• 9

• -9

​This is the visual representation of 3 squared.

• ​When you square a number you multiply it by itself. The answer you get is called a perfect square. All perfect squares can be represented using the square model shown here.

Multiple Choice

What is $$2^2$$  

• 2

• 4

• -4

• -2

Multiple Choice

What is $$4^2$$  

• 2

• 4

• 8

• 16

Multiple Choice

What is $$5^2$$  

• 25

• 10

• 5

• 1

Multiple Choice

What is $$6^2$$  

• 12

• 36

• 6

• 4

Multiple Choice

$$\left(-7\right)^2$$  

what is the answer when a number is negative?

• -14

• 14

• -49

• 49

​Remember your rule for multiplying.

Multiple Choice

What is $$\left(-9\right)^2$$  

• 18

• -18

• 81

• -81

Multiple Choice

What would the answer be if we changed the exponent to 3 for the problem below?

$$2^3$$  

• 2

• 6

• 8

• 10

​Remember what an exponent does.

​When you have an exponent, the exponent tells you how much to multiply the number by itself.

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​Notes for your notebook

​When you have a number multiplied by itself the answer you get is called a perfect square.

​

​When have a number multiplied by itself three times, the answer you get is called a perfect cube or triple.

​List of the most commonly used perfect squares.

​In your notes you need this list of the most common perfect squares and perfect triples. It is in your best interest to have these memorized before you go to algebra.

Multiple Choice

What is the value of x?

$$x^3=1$$  

• 1

• 3

• 1/3

• -1

Lets start going backwards.

​Mostly we will deal with square roots and cube roots in seventh grade.

​This is a visual representation

Multiple Choice

$$x^2=100$$  

What is the value of x?

• 50

• 100

• 10

• 2

Multiple Choice

Find the $$\sqrt[]{64}$$  

• 2

• 8

• 16

• 32

Multiple Choice

What is the $$\sqrt[]{121}$$  

• 11

• 9

• 12

• 3

Multiple Choice

What is the $$\sqrt[]{49}$$  

• 3

• 6

• 7

• 11

​The same concept applies when inverting cubes.

Multiple Choice

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

• 41.6

• 5

• 15

• 25.5

Multiple Choice

Find $$\sqrt[3]{343}$$  

• 3

• 7

• 13

• 33

Multiple Select

What is the difference in $$\sqrt[]{64}$$  and $$\sqrt[3]{64}$$ ?

Choose all that apply.

• One is a square root and one is a cube root.

• The square root of a number is looking for a number that is multiplied by itself(2times), while the cube root is looking for a number that is multiplied by itself 3 time.

• They are the same thing

• The answers are $$\sqrt[]{64}=8$$   and $$\sqrt[3]{64\ }=4$$  

​The end.

​Please make sure you make notes for your notebook from this quizziz. You need to know what a perfect square is and what a perfect cube is. For reference you need to have the table from slide 14 copied into your notebook until you have the perfect squares and cubes memorized.