Pre-Algebra - Unit 1 Test Review

Simplifying using the Rules for Exponents

100

Simplify.

12^-30/12^10

1/12^40

200

Simplify.

((y^7)(y^-3))/y

y^3

300

Simplify.

(m^2)(m^-3)(m^7)

m^6

400

Simplify.

(9^-6)(9)(9^5)

1

500

Simplify.

((3^5)^-2(3^9))/((3^6)(3^2)

1/3^9

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, -9

500

x³ = 1000

What is the value of x?

10

Square RootsandCube Roots

100

sqrt (144) = ?

12, -12

200

³sqrt(27) =  ?

3

300

What is the cube root of 343?

7

400

x² = 121

What is the value of x?

11, -11

500

y³ = 512

What is the value of y?

8

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

Area of Squares and Volume of Cubes

100

What is the side length of a cube with a volume of 216 cubic feet?

(must have the proper label)

6 feet

200

The room in the house has an area of 100 square yards.  What is the length of each side of the room?

(must have the proper label)

10 yards

300

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

(need to have the proper label)

7 feet

400

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

(need to have the proper label)

4 inches

500

Sally has an aquarium of fish that is shaped like a cube.  The tank has a volume of 27 cubic feet.  What is the length of one side of the aquarium?

(must have the proper label)

3 feet