Unit 5 Review

Exponent Properties

100

(x⁴y⁶z)⁵

x²⁰y³⁰z⁵

200

(-2x⁶y)(5x¹⁰)

-10x¹⁶y

300

6x^-6

^______

15x^-4

3

^______

5x²

400

(4x⁴)³

^_______

4x⁹

16x³

500

(4x^-12y²⁰)^-2

^___________

(6x^-15y¹⁰)^-3

27

^____

2x²¹y¹⁰

Sequences

100

Is the following sequence arithmetic, geometric, or neither?

2,5,9,14...

Neither

200

Find the common ratio

9000,3000,1000...

1/3

300

Write the explicit formula:

7,9.5,12,14.5...

A(n)= 4.5 + 2.5n

400

Write the explicit formula

16,-24,36,-54...

A(n)= -32/3(-1.5)ⁿ or A(n)=16(-1.5)^n-1

500

Find the 9th term in the sequence

7500,1500,300,60..

12/625 or .0192

Past Concepts

100

Solve for x:

x

^___   + 5 = 9

7

x = 28

200

Solve the system:

4x + 3y = 10

x + 3y = 7

(1,2)

300

Solve for x given f(x)=500 for the function f(x) = 6x - 100.  Your final answer must be in function notation.

f(100)=500

400

Sarah can run 7.5 miles in one hour.  How fast is that in feet per minute?

660 ft/min

500

Solve the absolute value inequality:

-4 | 2x + 3 | > -16

-7/2 < x < 1/2