College Algerbra

Question 1

Polya’s Problem Solving Techniques

Answer 1

1) Understand Problem 1st (w/o understanding)
   Read problem twice
        collect information
        determine what is being asked
2) Devise a plan
        eg'n (self created)
        draw a picture
        look for patterns
3) Carry-out plan

4) Check Answer
        is my answer reasonable?
        did I include units?
Note:
     "I know it a rational expression"
     "I know its a restricted domain"
     "I know the LCD"

Question 2

1.1 Solve the following rational eg’n:

4/3x = 2/1 - 3/x

Answer 2

restricted domain/x
LCD: 3x
3x(4/3x) = 3x (-3/x)
           4 = 6x - 9
          13 = 6x
           x = 13/6

Question 3

Solve by using the Multiplication Method:

1/t-4 = 2t/t sq root 2 - 16

Answer 3

restrictive domain:
t = 4, t = -4

4 = t only potential sol’n but it is a “restricted domain value” NO SOL’n

Question 4

Perimeter = 2L + 2L + 2W + 2W

Answer 4

Perimeter:
112 = h + 3h + h + 3h
112 = 8h
14  = h
width 3h = 42

Question 5

Triangles: all angles sum to 180 degrees:

triangles shows angle x zero power, 37 degrees and ?

Answer 5

Answer:

180 - x - 37

Question 6

Quadratic Eq’ns have the form

Answer 6

ax square + bx + c = 0
aka: quadratic formula

a,b,c are real numbers (real #’s are anything that doesn’t have a “i” (imaginary) attached to it.

Question 7

Solve quadratic Eqn’s by four methods?

Answer 7

1) Zero Property (factoring)
2) Square root property
3) Quadratic Formula (always work)
4) Completing the Square