BH Ch. 5 and 6 Review AA

Absolute Value

100

Absolute value is always _______.

Positive 

200

Simplify:

abs(-7)

7

300

Simplify:

abs(4-8)+6

10

400

Sketch an example of the graph of an absolute value function with a vertex at the point (-2,3).

(on board)

500

Simplify:

abs(-4-4)+4

12

Basics of Exponents

100

When working with exponents, you multiply the _____ to itself the number of times specified in the _______.

base; exponent

200

Write the exponent in expanded form:

4⁶

Write the expanded form as an exponent:

5*5*5*5*5*5*5

4*4*4*4*4*4

5⁷

300

What is anything raised to the 0 power?

What is anything raised to the 1st power?

1; itself

400

Evaluate the exponents:

10²

7¹

8⁰

100; 7; 1

500

Using a calculator, evaluate the following exponents:

8³

7⁴

12²

512; 2401; 144

Properties of Exponents

100

When multiplying exponents with the same base, _____ the exponents. 

When dividing exponents with the same base, _______ the exponents. 

When raising a power to a power, ________ the exponents.

add; subtract; multiply

200

Simplify the exponential expression: 

2v^4*v^3

2v⁷

300

Simplify the exponential expression: 

(3x)/(4x^4)

3/(4x^3)

400

Simplify the exponential expression:

(3x^2y^0)^3

27x⁶

500

Simplify the exponential expression:

2x^3y^0*(2y)^3

16x³y³

Solving Exponential Equations

100

If 4²=4^x, what is x equal to?

2

200

In an exponential equation, if the bases are the ________, you can just set the exponents equal to one another. 

the same

300

Simplify the exponential equation:

6^(2k)=6^12

k=6

400

Simplify the exponential equation:

5^(x+3)=5^9

x=6

500

Solve the exponential equation:

6^(3n)=46656

n=2

Exponential Growth & Decay

100

Sketch and label an example of the graph of both an exponential growth and an exponential decay function.

(on board)

200

Name one real world example of exponential growth and one example of exponential decay.

(answers will vary)

300

I have hands, but I cannot shake your hand.  I have a face, but I cannot smile at you.  What am I?

A clock

400

If you invest $2000 into a savings account with a 3% interest rate, how much money will you have after 15 years?

$3115.93

500

A cup of hot coffee is placed outside

where the temperature is 0 °C.  Assume

the coffee cools to approach the outside

temperature according to an exponential

decay model.  If the temperature in

degrees Celsius decreases by half every 34

minutes and the current temperature of the

coffee is 53.6 °C, what will the

temperature of the coffee be 7 minutes

from now?

Use the equation below to solve:

53.6*(1/2)^(7/34

46.5 degrees