Unit 1 Review

Exponent Rules

100

Simplify with only positive exponents:

y^7*y^-3

y^4

200

Simplify with only positive exponents:

a^12/a^4

a^8

300

Simplify with only positive exponents:

(5k^5)^2

25k^10

400

Simplify with only positive exponents:

(-2k^2)^3

-8k^6

500

The approximate areas of Virginia and Maine are listed below:

Virginia: 8×10⁵ square kilometers

Maine: 4×10² square kilometers

How many times larger is Virginia than Maine? 

2 x 10³ times larger

Rational Numbers

100

Write the following fraction as a decimal

2/3

.6...

200

Write the following fraction as a decimal

5/8

.625

300

Which of the following are rational numbers

7/9

root(3)(10)

-0.25

0.3333...

sqrt(45)

7/9, -0.25, 0.333... 

400

Which of the following are rational numbers

1/13

-0.777777...

sqrt(25)

sqrt(2)

2/3

1/13, -0.7777..., sqrt(25), 2/3

500

Write as a decimal:

-12 5/8

-12.1875

Square Roots

100

Find the following square root:

sqrt(81/49)

9/7

200

Find the following square root:

sqrt(-4)

Does Not Exist

300

Approximate the following square root (within .2)

sqrt(25/49)

+- 5/7

400

Approximate the following square root (within .1)

sqrt(10)

3.1

500

Approximate the following square root:

sqrt(111)

10.5

Cube Roots

100

Find the following cube root:

root(3)8

2

200

Find the following cube root:

root(3)64

4

300

Find the following cube root:

root(3)(27)

3

400

Find the following cube root:

root(3)(216)

6

500

Is the following a perfect cube?

root(3)(256)

No

Scientific Notation

100

Write in standard form:

(5.3xx10^6)

5300000

200

Write in scientific notation:

0.0000187

Write in standard form:

(1.87xx10^-5)

300

Write in standard form:

1.023xx10^-2

.01023

400

Write in Scientific Notation:

2037000

Write in standard form:

(2.037xx10^6)

500

Write in Scientific Notation:

.0000001012

(1.012xx10^-7)

Scientific Notation Operations

100

Simplify and write your answer in scientific notation:

(9xx10^-4)(4xx10^10)

3.6xx10^7

200

Simplify and write your answer in scientific notation:

(5.4xx10^6)+(8.1xx10^6)

1.35xx10^7

300

Simplify and write your answer in scientific notation:

(16xx10^5)/(8xx10^3)

2xx10^2

400

Simplify and write your answer in scientific notation:

(3.8xx10^-5)-(9.4xx10^-7)

3.706xx10^-5

500

The approximate areas of South Carolina and Delaware are listed below:

South Carolina: 8.29×10⁴ square kilometers

Delaware: 6.45×10³ square kilometers

How many times larger is South Carolina than Delaware? Write your answer in standard notation, rounding to the nearest tenth.

12.9 times larger