Algebra Answers

Solving Exponential Equations Practice:

1. 2^x+ 3 = 11
2. 2^x+3 = 16
3. 3^x+1 - 7 = 20

Solving Exponential Equation Practice:

1. 2^3x = 4⁹
2. 3^2x = 9¹⁰
3. 10^5x+3 = 1000¹¹

Solving Exponential Equation Practice:

1. 5^2x = 5¹⁰
2. 5^3x = 125^6x
3. 2^x-3 = 8⁵

Solving Exponential Equations Practice:

1. 8^x-3 =8⁵
2. 10^3x+2 = 10¹¹
3. 4^6x = 16⁹

Solving Exponential Equations Practice:

1. 2^3x = 2¹⁵
2. 4^2x-1 = 4^x+2
3. 4^9x = 4³

Henry drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8

 hours. When Henry drove home, there was no traffic and the trip only took 6

 hours. If his average rate was 16

 miles per hour faster on the trip home, how far away does Henry live from the mountains?

Do not do any rounding.

Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 25

 liters per minute. There are 500

 liters in the pond to start.

Let 

W

represent the amount of water in the pond (in liters), and letT

represent the number of minutes that water has been added. Write anequationrelatingW

toT

,and then graph your equation using the axes below.

Draw the following:

1. A complete graph with 4 vertices

2. Cycle with 3 vertices 

3. A simple graph with 2 vertices 

4. A simple disconnected graph with 3 vertices 

5. A graph that is not simple

Evaluate f(4)