Sq and Cube roots, The Pythagorean Theorem, Exponents and Scientific Notation

Square Roots

100

What is the value of x, when x^2 = 36

What is 6

200

What is the square root of 196?

What is 14

300

Solve for x, x^2 = 4/9

What is 2/3

400

A square shaped place mat has an area of 169. What is the length of one side?

What is 13

500

Find w: w²+21=37

What is 4

Cube Roots

100

The volume of a cube is 125 cubic centimeters. How many centimeters long is each edge of the cube?

What is 5

200

Find the cube root of 8

What is 2

300

Laura makes an ice cube having a volume of 27/64 cubic inch. What is the side length of the ice cube?

What is 3/4

400

What is the difference between the perfect cubes and perfect squares

What is perfect cubes are integers that have been multiplied three times not twice.

500

What is the sum of the cube root of 8 + the square root of 16?

What is 6

The Pythagorean Theorem

100

If a right triangle has legs 7 and 24, find the hypotenuse.

What is 25

200

The hypotenuse of a right triangle is the side opposite to the...

What is the right angle

300

If in a right triangle has a hypotenuse of 12 and a leg of 10, what is the missing leg?

What is the square root of 44

400

A rectangular sign has a height of 7 feet and a width of 24 feet. What is the length of its diagonal in feet?

What is 25 feet

500

A triangle has side that measures 5 units, 12 units, and 13 units. Is it a right triangle?

What is yes

Exponent Rules

100

Simplify: x⁶ * x⁵ * x³

What is x¹⁴

200

Simplify: 8⁰

What is 1

300

Simplify: 4^-2

What is 1/16

400

Simplify: (x⁴ * y⁶)/(x² * y³)

What is x² * y³

500

Simplify: (2⁹ * x⁸ * y⁷ * z⁹)/(2² * x⁴ * y⁹ * z¹⁰)

What is (2⁷ * x⁴)/(y² * z¹)

Scientific Notation

100

Rewrite in scientific notation:

.0000963

6,124,023

What is 9.63*10^-5 and 6.124023*10⁶

200

Rewrite in standard form:

3.2*10⁵

8.4*10^-5

What is 320,000 and 0.000084

300

Multiply:

(4*10⁴)*(6*10⁶)

What is 2.4*10¹¹

400

Divide:

(7.2*10^-3)/(4.8*10^-5)

What is 1.5*10²

500

Students at Salt Lake Community College pay 1.667 * 10⁴ dollars for tuition. Students at George Washington University pay 5.5011 * 10⁴ dollars.  How many times greater is the tuition at George Washington? (Hint: divide)

What is 3.3 times