Roots and Radicals Review

All About Exponents

100

Expand 7³

What is it equal to?

7*7*7=343

200

Write the following in exponential form:

3*3*3*3*3*3*3*3

3⁸

300

Expand (-4)⁴

What is it equal to?

(-4)*(-4)*(-4)*(-4)=256

400

Write the following in exponential form:

(-5)*(-5)*(-5)*(-5)

(-5)⁴    You must have parenthesis for it to count!

500

Expand -2⁴

What is it equal to?

-(2*2*2*2)=-16

Radical Equations

100

Solve the equation for x:

x²=49

x=7

200

Solve for x:

x²+17=42

x=5

300

Solve for x: 

6x²=96

x=4

400

Solve for x:

2x² + 54 = 182

x=8

500

Solve for x:

-4x² - 3 = -19

x=2

Perfect Squares

100

Simplify the perfect square: 

sqrt16

4

200

Simplify the perfect square:

sqrt100

10

300

Simplify the perfect square:

sqrt36

6

400

Simplify the perfect square

sqrt144

12

500

Which number from the following list is NOT a perfect square? 

16, 25, 36, 42, 49, 64

42

Non-Perfect Squares

100

What 2 whole numbers will the following non-perfect square fall between?

sqrt18 

4 and 5

200

What 2 whole numbers will the following non-perfect square fall between?

sqrt3

1 and 2

300

What 2 whole numbers will the following non-perfect square fall between?

sqrt72

8 and 9

400

What 2 whole numbers will the following non-perfect square fall between and CIRCLE the number it is closest to. If you do not have it circled, you will not get points!

sqrt 141

11 and 12

12 should be circled!

500

What 2 whole numbers will the following non-perfect square fall between and CIRCLE the number it is closest to. If you do not have it circled, you will not get points!

sqrt 83

9 and 10

9 should be circled! 

Vocabulary

100

8²  The large number in this expression is called the _______.

base

200

In the example 8³ the 3 is called the ___________

exponent

300

The opposite of squaring a variable is to take the _______________

square root

400

The number inside the radical is called the _________

radicand

500

What is this symbol called?

sqrt 

Radical