Exponents, Squares, Cubes, Real Numbers

Rational vs Irrational

100

True or False?   Square Root 2 is a rational number. 

FALSE - Square Root 2 is Irrational

200

Which number is Irrational?

-.77777...         3.14159265358.......       -4

2/3      Square Root 121        0          -.12121212...

3.14159265358.....  Pi

300

Write the decimal .15555555555..... as a fraction

7/45

400

Between which two consecutive integers would the square root 56 be on a number line?

7 and 8

500

What value of n would make this square root RATIONAL.  Square root 18n

n = 2 or 8 

Cubes and Squares

100

Solve the equation:  x² = 16

x = 4 and -4

200

Solve the equation:  x³ = 729

x = 9

300

The area of a square is 169 in². What is the side length of the square.

Side length is 13 in.

400

Solve the equation:  x³ = 216/27

x = 2

500

A creeper has a cubed head with a volume of 64 cubic centimeters.  What is the area of the top of its head?

Area of the top of its head is 16 square centimeters.

Simplify Radicals

100

Simplify Square root 100

10

200

Simplify Square root 63

3 Square Root 7

300

Simplify Square root 150

5 Square Root 6

400

Simplify 2 Square root 148

4 Square root 37

500

Simplify

(3 Square root 45) + (5 Square root 405)

54 Square root 5

Exponents

100

Simplify

100⁰

1

200

Simplify   G^-7

1/G⁷

300

w³ x w⁴  

w⁷

400

(5^-3/5⁴)²

1/5¹⁴

500

(4x⁵y/16xy⁴)²

x⁸/16y⁶