ALG 2 Final Review

Shapes and Substitution

100

Solve For X

 8

200

Find x

9

300

Solve for x

4√2

400

x²+y²=4

y-x=1

x=.  -2 + √24                y=.   2 + √24
      ------------                    -----------
            4                                  4

500

x²+y²=36

y-x=5

x= -10 +√188.        y=.  10 + √188
-------------------           ---------------
           4                               4

Formulas

100

Use PV=nRT to find the number of moles in an amount of gas when the temperature is 206K, the pressure is 4 atmospheres, and the volume is 5 liters. (R=0.0821)

1.187 mol

200

Use PV=nRT to find the number of moles in an amount of gas when the temperature is 204K, the pressure is 2 atmospheres, and the volume is 6 liters. (R=0.0821)

0.716

300

Find the distance between (-4 , 1) and (3 , -7)

√113

400

Find the slope of (-5 , -9) and (3 , -2)

 7
----
  8

500

Find the distance between (3 , -7) and (8 , -6)

√26

I's

100

4i³ + 9i⁴ + i⁵ - i² + 2

12 - 3i

200

-6i + i³ + 7i⁴ + 4i⁵ + 6i²

 1 - 3i

300

  3 - 6i
---------
  7 - 7i

 63 - 21i
---------
    98

400

 -7 + 2i
---------
  4 - 4i

 -36 - 20i
-----------
      32

500

 -6 + 8i
---------
 -9 - 2i

38 - 84i
--------
   85

quadratic and roots

100

4x² + 3x = -5

 -3 + √71i
-------------
      8

200

-7x² - 5x = 6

  5+√143i
-----------
    -14

300

-2x² + x = 3

1 + √23i
----------
      4

400

√x+3   +  √x     =2

  1
-----
 16

500

√x+7   +  √x     = 4

 81
----
 64

Mystery

100

 Estimate 

   (3815)(942,722 x 10^-13)
   ----------------------------
(853,362)(0.000957 x 10^-5)

4 x 10^-2

200

Find the force on the point

-13.4R + 60.3U

300

x + 3  />  5

<----------*

               2

400

X^5a  Y^2b  X^5a/3  Y^5b/4

X^20a/3     Y^13b/4

500

Simplify this Fraction

     3E+1
---------------
3CE + C + 4DE