Review Showdown Lesson (1,4,6)

Scientific Notation

100

Write this number in scientific notation: 

4,500,000

4.5 x 10⁶

200

Convert to standard form: 1.1 x 10^-5

0.000011

300

Convert to scientific notation: 

985,000,000,000

9.85 x 10¹¹

400

Multiplying scientific notation: 

(3.2 x 10⁴) x (2.5 x 10³)

8.0 x 10⁷

500

Multiplying scientific notation: 

(2.5 x 10³) x (4.0 x 10⁵) 

10.0 x 10⁸ OR 1.0 x 10⁹

Functions

100

Would a soda machine be an example of a function or non function? 

Function

200

Would a person's weight based on their height be considered a function or non function?

Non function (because people of the same height can have different weights) 

ex. imagine two people who are 5'6, one weighs 140 and another 180. Input can have only one ouput

300

What about a person's age based on their birth year? 

Function 

Each birth year corresponds to exactly one age in a given year. 

400

Robert buys 5 small drinks for $10. Write an equation to represent the cost, c, for d small drinks. 

c = 2d

500

John's car travels 20 miles on 1 gallon of gas. Write an equation that best represents the relationship between the gas in the car and the distance he travels. Then solve the equation to see how far John goes if he uses 12 gallons of gas. 

240 miles 

d = 20g 

Integer Exponent Rules

100

Zero exponent rule: 10,000⁰

1

200

Product of Power rule: ((a^m)ⁿ = a^{m x n}

(m⁷)⁸

m⁵⁶

300

Product rule: (a^m x aⁿ= a^m+n)

x⁸ + x⁹=

x¹⁷

400

Negative exponent rule: 

5^-4

1/5⁴

500

Mixed Rules: 

2⁵ x 2^-2 /2³

Answer: 1 

2⁵ x 2^-2/2³

2^5+-2/2³

2³/2³

2^3-3

2⁰ = 1