3. Final Exam Review:
1. x2
- 2x - 8 = 0 Solve the quadratic equation algebraically, then
graphically. Name the axis of symmetry, vertex coordinates,
roots, and state whether the vertex is a maximum or minimum:
How do we solve algebraically?
(x - 4)(x + 2)
The roots (solutions) are: Find the axis of symmetry. 1
Then the vertex coordinates 1, -9
Determine one more point for the upper half of the parabola.
Use x = 5. The y point is the same as for x = ?
Connect the dots
By factoring, completing the square, or by quadratic formula.
What method did you use? The factors are:
4,-2
The y intercept is: -8
-3
• •
••
•
4. Final Exam Review:
The vertex coordinates for any y = ax2
equation are:
The vertex coordinates for any y = ax2
+ c equation are:
Solve: x2
+ 2x - 3 = 0
The solutions, or roots, are x = 1, x = -3
(0,0)
(0,c)
7. Rational Equations:
When a rational equation has a variable in the
denominator, excluded values must be noted.
Some solutions may contain excluded values
and therefore are not actually solutions.
Cross-multiply, then distribute.
Set the equation = 0
Simplify, factor, and solve
Check for extraneous
solutions. Are there any?
Yes! The only solution is x = 5
9. Complex Fractions:
Many of you can figure out what to do
with these types of fractions. What
rule of fractions is important?
1. Find the LCD of the numerator, then simplify.
2. Multiply by the reciprocal of the denominator, factor,
then simplify.
3. The solution is....
12. Current Grading System:
Khan Academy: 20%
Class Work: 20%
Tests: 40%
Final Exam: 10%
Notebook: 10%
100% 42.2%
‘Average’ Student
28%
71%
56%
Proposal:
A minimum score of 75% on both remaining tests
guarantees a passing grade of at least 63% (higher
if you’ve earned it) for the 4th quarter.
If you know Algebra, you will pass.
If you don’t know Algebra, then it’s hard to argue
that you should pass Algebra.
Even with perfect
scores on the
final exam &
notebook, the
‘average’ student
cannot pass the
4th quarter.
