Unit 8 Review

Exponents

100

Write 4x4x4x4x4x4x4 in exponential form. 

4⁷

200

Bonus***

What is the only letter that doesn't appear in any U.S. State name?

Q

300

WAGER!!

Becky has 6.4 x 10^4 millimeters of ribbon. Sarah ahs 8 x 10^4 millimeters of ribbon. How many more millimeters of ribbon does Sarah have compared to Becky? Write your answer in standard notation.

400

Evaluate the expression: 149⁰

1

500

Evaluate the expression: 9^-2

1/81

Laws of Exponents

100

Evaluate: (2²)³

4³ = 64 or 2⁶ = 64

200

Simplify: (4y)³

64y³

300

Simplify: (x⁵)(x⁹)

x¹⁴

400

BONUS***

What is the smallest planet in our solar system?

Mercury

500

Simplify: (36x⁴y³)/(6xy²)

6x³y

Scientific Notation

100

BONUS**

How many bones are in the human body? Closest answer wins

206

200

The mass of Jupiter is approximately 1,900,000,000,000,000 kg. Write the mass of Jupiter in scientific notation.

1.9 x 10¹⁵

300

The mass of a Monarch butterfly is about 9.5 x 10^-3. Write this number in standard form.

.0095

400

BONUS**

What animal is known as "the king of the jungle"

Lion

500

The size of the Sahara desert is about 3.629 x 10⁶ square miles and the Arabian desert is about 9 x 10⁵ square miles. Which desert is larger? Explain your reasoning.

The Sahara desert because the exponent is bigger.

Operations with Scientific Notation

100

Solve the expression. Write your answer in scientific notation. (3.7 x 10⁹) + (9.04 x 10⁹)

12.74 x 10⁹ = 1.274 x 10¹⁰

200

Solve the expression. Write your answer in scientific notation. (8.45 x 10^-7) - (6.9 x 10^-7)

1.55 x 10^-7

300

The surface of the Earth is water and land. The approximate total surface area of Earth is 5.1 x 10⁸ km2 and the approximate total surface area of water is 361,000,000 km2. About how much of Earth's surface area is land?

1.49 x 10⁸

400

Bonus***

What is the hardest natural substance on earth

Diamond

500

Humpback whales are known to weigh as much as 8 x 10⁴ pounds. The krill they eat weighs only 2.1875 x 10^-3 pounds. Approximately how many times greater than the krill are humpback whales?

4 x 10⁷

Multiplying and Factoring Expressions

100

Use the distributive property to simplify: 5x(x+2)

5x²+10x

200

Factor the expression using the GCF: 4x²+6x

2x(2x+3)

300

Find the product: 3n(1/3n - 2/3)

n²-2n

400

Factor the expression using the GCF: 28a⁵b + 20a²b

4a²b(7a³+5)

500

Bonus***

What is the capital of the United States

Washington D.C.