AM7 - Sem. 2 - Unit 1 Test Review

Rules for Exponents

100

538⁰ = ?

1

200

5^7 * 5^11 = ?

5¹⁸

300

3^-2 = ?

1/9

400

7^9 / 7^3 = ?

7⁶

500

(x^4)^6 = ?

x²⁴

Perfect Squares andPerfect Cubes

100

True or False 

49 is a perfect square

True

200

True or False

16 is a perfect cube

False

300

True or False

99 is a perfect square

False

400

x^{2 =} 81

What is the value of x?

9

500

x³ = 1000

What is the value of x?

10

Square RootsandCube Roots

100

sqrt (144) = ?

12

200

³sqrt(27) =  ?

3

300

3sqrt(125) = ?

5

400

x² = 121

What is the value of x?

11

500

y³ = 512

What is the value of y?

8

Simplifying Expressions using the Rules for Exponents

100

(9) (9^-2)

1/9

200

(-x)^3 (-x)^4 (-x)^-2

(-x)^5

300

(3^2 (3^6)) / 3 

3^7

400

((5^4)^3 )/(5^9)

5^3

500

((8^4) (8^13)) / ((8^2)(8^-3)

8^18

Area of Squares and Volume of Cubes

100

The area of a square is 49 sq feet.  What is the length of one side? 

(need to have the proper label)

7 feet

200

The volume of a cube is 64 cubic inches.  What is the length of one side?

(need to have the proper label)

4 inches

300

You want to create a square picture with and area of 144 square inches.  What should the length of each side be?

(must have the proper label)

12 inches

400

A cubic box has a volume of 125 cubic centimeters.  What is the length of each side of the box?

(must have the proper label)

5 centimeters

500

Give one real-life situation that requires you to calculate the area of a square.

(many answers are correct)