Unit 1 Review

I'm all about that base

100

What is the base for the monomial 3x²?

x

200

What is the coefficient for the monomial -7x³?

-7

300

Write in exponential form

x•x•x•x•x•y•y•y•y•y•y

x⁵y⁶

400

Simplify (5x)⁰

1

500

Simplify 10²•6^-3

partial credit 100/216

full credit 25/54

Write like a scientist

100

Write in scientific notation

4,237,000

4.237 • 10⁶

200

Write in scientific notation

.0000000965

9.65 • 10^-8

300

Write in standard form

3.79 • 10⁵

379,000

400

Write in standard form

8.7 • 10^-4

.00087   or 

0.00087

500

Which is larger and why?

9.2 • 10⁷ or 1.3 • 10⁸

1.3 • 10⁸, because it has a larger exponent

Categorize this

100

Name the smallest set that -8 belongs to.

Integer

200

Which number is a natural number 0, 0.25, 1/2, or 1?

1

300

Which set of numbers is this?

{0, 1, 2, 3, 4.................}

Whole numbers

400

What is the smallest set that √81 belongs to?

Natural, it equals 9

500

What is the smallest set that √23 belongs to?

Irrational, it equals 4.795831523....

It has not pattern and goes on forever.

I like terms

100

How many terms are in the expression

-5x² - 2x + 5 ?

3, terms are separated by addition and subtraction

200

Simplify 6x - 2x

4x

300

Simplify 7x - 11x

-4x

400

Simplify -3x² + x - 2x²

-5x² + x  or 

x - 5x²

500

Simplify 

5cd + d² - c² - 4d² + 2c²

5cd - 3d² + c²

The order does not matter, but the sign of each term does matter.

Products and quotients

100

x⁷ • x⁸

x¹⁵

200

x³/x⁹

x^-6 is close

No negative exponents 1/x⁶

300

Simplify

18x⁶/2x⁸

9/x²

400

Simplify

(-4x³y⁴)(7x^-5y)

-28y⁵/x²

500

Simplify

(-5xy⁴ • 6x⁷)/3x^-6

-10x¹⁴y⁴