Today:Review for Tomorrow’s TestReview Addition & Subtraction

Review EquationsBegin Complex Fractions All Class Work Due Today

You will need at least one graph for the warm-up

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.

1Then 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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••

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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)

Tomorrow’s Test:

Tomorrow’s Test:

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

Rational Equations:

Multiply each term by the LCD which is....x - 2

What is the solution to this equation??

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....

Complex Fractions:

Last

Question:

= x + 3 2

Complete Class Work

Notes:Current Grading System:

Khan Academy: 20%

Class Work: 20%

Tests: 40%

Final Exam: 10%

Notebook: 10%

100%

42.2%

‘Average’ Student28%

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.