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Today:
Final Exam ReviewRational Expressions Review
Adding/Subtracting Rational ExpressionsSolving Rational Equations
Complete Class Work 4.11/4.12
May 27, 2015
Current Grading System:
Khan Academy: 20%Class Work: 20%Tests: 40%Final Exam: 10%Notebook: 10%
100% 45.0%
‘Average’ Student
25%
71%
64%
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.
Even with perfect scores on the final exam & notebook, the
‘average’ student cannot pass the
4th quarter.
Final Exam Review: (June 9th )
x2 + x – 42 = 0
Final Exam Review: (June 9th )
Simplify the following expression:
(x + 2) + (x – 2)(2x + 1) (2x2 – 3x -2) + (x +2)
Solve: 2x2 – x – 4 = 0
Simplifying Rational Expressions & Multiplying/Dividing
Simplify: 𝟗𝒙(𝒙 − 𝟖)
𝟗𝒙(𝒙 − 𝟔)÷𝒙 − 𝟖
𝟓
=𝟗𝒙(𝒙 − 𝟖)
𝟗𝒙(𝒙 − 𝟔)∙
𝟓
𝒙 − 𝟖
=𝟗𝒙 𝒙 − 𝟖 𝟓
𝟗𝒙(𝒙 − 𝟔)(𝒙 − 𝟖)
𝟓
𝒙 − 𝟔
Adding and Subtracting Rational Expressionswith unlike Denominators
Find the LCD
18a3b3
5d - 20
(x + 4)(x + 1)2
(s + 2)(s - 2 )(s + 5)
(x + 1)(x – 2)x – 3
x2 – x – 2x – 3
LCD = (x – 3)
Adding Rational Expressionswith unlike Denominators
2
5
3 6 2
x
x x x
2x x 3 2x
23 x x
x
x
2
3
15
2
x
x x
3
3
Adding Rational Expressionswith unlike Denominators
Add:
.
2
5 2
2 8 4
x
x x x
4 2x x
4x 4 2x x
2x
2x
4 2x x
5 2 4
4 2
x x
x x
3 4
4 2
x
x x
Subtracting Rational Expressionswith unlike Denominators
Solving Rational Equations
Solving Rational Equations
Solving Rational Equations
Final Note:
All of today’s practice problems come from the Algebra II workbook.
Solve the Rational Equation. Solve: Restrictions : x = -9
Multiply by the LCM: 5(x + 9) Reduce to clear fractions 5x – 25 = 2x + 18
– 2x -2x .3x – 25 = 18
+ 25 + 253x = 43
(1/3) 3x = (1/3) 43x = 43
3
5 2
9 5
x
x
Class Work: Please Change #2 to the following
Adding and Subtracting Rational Expressionswith unlike Denominators
= 𝟐 𝒙+𝟔 +𝒙
(𝒙+𝟔)(𝒙−𝟑)
The LCD 𝐢𝐬 (𝐱 + 𝟔)(𝐱 − 𝟑)𝟐
𝒙 − 𝟑+
𝒙
𝒙𝟐 + 𝟑𝒙 − 𝟏𝟖
𝟐
𝒙 − 𝟑∙𝒙 + 𝟔
𝒙 + 𝟔+
𝒙
(𝒙 + 𝟔)(𝒙 − 𝟑)
= 𝟑𝒙+𝟏𝟐
(𝒙+𝟔)(𝒙−𝟑)
