8th Grade exponents and square roots

Review Time

Solving equations

• use inverse operations to isolate the variable

• keep the equation balanced by performing the same operation on both sides of the equals sign

Multiple Choice

Which of the following inverse operations is incorrect?

• inverse of addition is subtraction

• inverse of multiplication is division

• inverse of division is squaring

• inverse of multiplication is division

Multiple Choice

How do we solve f - 12 = -4

• add -12 to both sides

• subtract 12 from both sides

• add 12 to both sides

• add 4 to both sides

Multiple Choice

How do we solve -2k = -100?

• multiply by 2 on both sides

• divide by 2 on both sides

• add 100 to both sides

• divide by -2 on both sides

​x

​Equations

​2

"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

Exponents

Exponents represent repeated multiplication.

Poll

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

• Yes

• No

Poll

Is $$\left(-3\right)^2$$  the same thing as  $$-3^2$$  ?

• Yes

• No

Multiple Select

Select all the expressions that are equivalent to $$7^2$$ .

• $$14$$  

• $$7\times7$$  

• $$7\times2$$  

• $$49$$  

• $$7+2$$  

Zero Exponents

Any non-zero number raised to the zero power is 1.

Multiple Choice

$$x^0=$$  

• 0

• 1

• x

• -x

Negative Exponents

Negative exponents means the reciprocal of the positive power.

Multiple Select

Select all the expressions that are equivalent to $$4^{-3}$$  .

• $$-12$$  

• $$\frac{1}{64}$$  

• $$-64$$  

• $$\frac{1}{4^3}$$  

• $$64$$  

Squares and Square Roots

Cubes and Cube Roots

Multiple Choice

$$3^3=$$  

• $$9$$  

• $$27$$  

• $$6$$  

• $$12$$  

Multiple Choice

$$^{3\sqrt{8}}$$  

• $$\frac{8}{3}$$  

• $$2$$  

• $$512$$  

• $$5$$  

Open Ended

Well done! Please write one question you still have about exponents, squares, or cubes!