7th Grade Topic 2 Test Review

Squares

100

What is 4²?

16 

200

What is 13²?

169

300

What is (1/4)²?

1/16

400

Is the square root of 26 a rational or irrational number? And estimate the square root of 26. 

Irrational, about 5.1

500

Tony has a square garage with 228 square feet of floor space. Will a car that is 14ft long fit in the garage? 

Yes. The square root of 225 is 15. Since 228 > 225, the square root of 228 is about 15.1. So a car that is shorter than 15.1 ft will fit into the garage.

Cubes

100

Is 75 a perfect cube? How do you know?

No. There is no integer that can be multiplied by itself 3 times that would equal 75. 

200

FREEBIE: What is Ms. Harrison's favorite football team? 

ARKANSAS! (Yes, we can win games)

300

Find the cubed root of 512.

8 

400

What is (1/5)³?

1/125 

500

A gift box has a volume of 130 cubic inches. ESTIMATE the length of each side. 

Each side is about 5.0 - 5.1 inches. 

Properties of Exponents

100

Using properties of exponents, rewrite the following expression: 6⁵*6⁷

6¹²

200

Using properties of exponents, rewrite the following expression: (4⁴)³

4¹²

300

Using properties of exponents, rewrite the following expression: (4³)^(-2)

1/4⁶

400

Using properties of exponents, rewrite the following expression: 10¹¹/10⁷

10⁴ = 10,000

500

Solve the following expression: 4[2x⁰ + 3y⁰]

20

Powers of 10

100

What is 10⁵ power? 

100,000

200

How would you estimate 723,456,789?

700,000,000

300

Estimate the following number as a whole number times a power of 10: 58,234

6 x 10⁴

400

Estimate the following number as a whole number times a power of 10: 120,080,000,000

1 x 10¹¹

500

The population of Town A is 1.44 x 10⁵. The population of Town B is 20,000. About how much larger is Town A than town B? 

About 5 times larger.