Hw for 7.7 – 8.3
Name:
1.
Given complex numbers: z  3  i; w  5  7i . Evaluate the following:
a)
2.
3.
2 z  7w
b)
Solve the following equations for x:
3
5x  22  1  2
a)
2
3
zw
c)
z
w
b)
1
x  12  2  1
2
3
b)
1 2 2
x  x 1  0
2
3
Solve the following equations by completing square:
a)
5x 2  2 x  3  0
4.
Solve the following equations in complex numbers by using the Quadratic formula.
3
x  1  1 xx  5  4
a)
b)
2x  3x  1  3
2
3
5.
Sketch the graph of the following functions:
1
a)
f x   x  32  1
2
b)
1
f x    x 2  3x  4
2
Homework for 8.3 – 8.5
1.
Sketch the graph of the following quadratic functions:
a)
2.
f x   3x  2  1
2
Name:
b)
f x  
1 2
x  2x  3
2
Sarah wants to fence in a rectangular dog pen against her house. Since the house is to serve as one of the
sides, she needs to fence in only three sides. If she uses 80 liner feet of fencing, what are the dimensions of
the pen that would give the maximum area possible?
3.
Solve the following equations for x:
a)
 3x  2 
 3x  2 

  7
  12  0
 5x  1 
 5x  1 
b)
x 4  5x 2  36  0
c)
6 x 2  x 1  35
d)
5x 2 / 3  19 x1 / 3  4  0
2
4.
Solve and sketch the following non – linear inequalities:
a)
35x 2  13x  12  0
b)
3x  5 3

2x  3 5
c)
3
1

2x  3 2x  1
d)
x 3  2x 2  4x  8  0