Download Unit 7 Quadratic Equations

Math III b1: Quadratic Equations and Inequalities
Set
Date
Topics
QEI
1
Methods of Solving
Quadratic Equations
QEI
–
1.5
Methods of Solving
Quadratic Equations
QEI
2
Quadratic Formula
QEI
3
Sum and Product of the
Roots
QEI
4
Systems of Equations
Algebraic
QEI
5
Systems of Equations
Graphical
QEI
6
Parameters of Quadratic
Functions
QEI
7
Application of the Quadratic
Equation I
Assignment
Journal
Packet
Pg. 76 /1 – 5 odd
Pg. 77/ 1 – 5 odd
Pg. 78/ 1 – 5 odd
Pg. 81/ 1 – 5 odd
Solve the following system of equations
Packet
Pg. 76 /2 – 6 even
Pg. 77/ 2 – 6 even
Pg. 78/ 2 – 6 even
Pg. 81/ 2 – 6 even
Packet
Pg. 81/ 7 – 15 odd
Pg. 85/ 3 – 21 x3
If you are given a triangle ABC with AB = BC,
what must be true about the triangle?
A. AC = AB
B. <ABC = <BAC
C. <BAC = <BCA
D. <ABC = <BCA
y  x2  5x  2
y  3x  5
Multiply
a
a2  4 a  3
.

a 2  9 a 2  2a
For what values of
is the product not defined? Justify your
answer.
QEI
8
Application of the Quadratic
Equation II
Packet
Pg. 81/ 8 – 14 even
Pg. 85/ 2 – 20 x3
Pg. 87/ 1, 4, 8
Packet
Pg. 85/ 1 – 19 x3
Pg. 87/ 2, 5, 9
Pg. 89/ 1, 2, 3
Packet
Pg. 87/ 3, 6, 10
Pg. 89/ 4, 5, 6
Pg. 92/ 1, 2, 3
Packet
Pg. 89/ 7, 8, 9
Pg. 92/ 4, 5, 6
Pg. 95/ 1, 2
Packet
Pg. 89/ 10, 11, 12
Pg. 92/ 7, 8, 9
Pg. 95/ 3, 4
Pg. 98/ 1 – 5 all
Packet
Pg. 101/ 2 - 16 even
y  2 x 2  8 x  13
What is the vertex and the axis of symmetry.
y  2 x 2  3x  4
Find the roots.
What is the product of the roots of the equation
0  x 2  3x  7
Solve:
2x  3  3
Multiply
a
x2  4 x  3

.
x2  9 x2  2x
For what values of
is the product not defined? Justify your
answer.
What is the nature of the roots of:
y  2 x2  4 x  5
QEI
9
Quadratic Inequalities
QEI
10
Review
QEI
11
QEI
15
Review
Packet
Pg. 101/ 1 - 15 odd
Pg. 101/3 – 27 x3
Packet
Pg. 101/2 – 26 x3
The doorway of a new office building is in the
shape of a parabolic arch. The equation which
models the doorway is
y   x 2  8 x . Partytime
Caterers have been asked to plan a grand opening
celebration. They want to hang a banner across the
doorway, eight feet above the ground. To the
nearest tenth of a foot, how wide can the banner
be.
Solve for y.
9
3

2b  7 b
Justify your answer.
Packet
Pg. 101/1 – 25 x3
4  x 2  2 x  20
find the solution set. Explain the process.
TEST!
I cannot teach anybody anything,
I can only make them think.
Socrates