1. Final Exam Review
Review for Tomorrow’s Test
Begin Complex Fractions
All Class Work Due on or Before Friday
2. Final Exam Note:
Due to the half-day schedules and the need to submit
grades, we will take both parts of the final on Monday, June 8.
We have 75 minutes for 20 questions. Come on time and
ready to get started. If you do not finish, the only make-up
time will be lunch on that same day.
A calculator would be very helpful to your success.
Leave your notebooks after the final next Monday.
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
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4. 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)
Final Exam Review:
7. 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
Rational Equations: (2)
8. Multiply each term by the LCD
which is....x - 2
What is the solution to this equation??
Rational Equations: (1)
9. 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....
Complex Fractions:
