May 30, 2014
Notes:
1. Test Dates:
a. Rational Expressions/Multiplying & Dividing
Rational Expressionsβ€”Thursday, June 5th.
b. Final Exa...
Determine which point is a solution to the system of equations.
y = -2x + 6
-2x + y = + 2
The solution to this system of e...
Solve for a specific variable
S = 2h + 4
7q
Scores on your first 2 tests were 85 and 65.
What score must you get on your 3...
Review: Simplifying Rationals
Simplify the expression:
Multiply & State Excluded Values
πŸ•
𝟏𝟎
+
𝟐
𝟏𝟎
=
πŸ—
𝟏𝟎
πŸ“
𝒙
+
π’™βˆ’πŸ“
𝒙
=
πŸ“+π’™βˆ’πŸ“
𝒙
=
𝒙
𝒙
= 1
Adding and Subtracting Rational Expressions
1. All addition & subtracti...
𝟏.
πŸ’
𝒙+𝟏
+
π’™βˆ’πŸ
𝒙+𝟏
=
πŸ’+π’™βˆ’πŸ
𝒙+𝟏
=
𝒙+πŸ‘
𝒙+𝟏
Adding and Subtracting Rational Expressions
𝟐.
πŸπŸŽπ’™
π’™βˆ’πŸ’
βˆ’
πŸ–π’™
π’™βˆ’πŸ’
=
πŸπŸŽπ’™βˆ’πŸ–π’™
π’™βˆ’πŸ’
=
πŸπ’™...
πŸπ’™
𝒙 πŸβˆ’π’™βˆ’πŸ’πŸ
βˆ’
π’™βˆ’πŸ”
𝒙 πŸβˆ’π’™βˆ’πŸ’πŸ
Adding and Subtracting Rational Expressions
=
πŸπ’™βˆ’(π’™βˆ’πŸ”)
𝒙 πŸβˆ’π’™βˆ’πŸ’πŸ
=
πŸπ’™βˆ’π’™+πŸ”
𝒙 πŸβˆ’π’™βˆ’πŸ’πŸ
=
𝒙+πŸ”
𝒙 πŸβˆ’π’™βˆ’πŸ’...
Adding and Subtracting Rational Expressions *
=
πŸ’π’™βˆ’(π’™βˆ’πŸ)
πŸ‘π’™ πŸβˆ’π’™βˆ’πŸ
=
πŸ’π’™βˆ’π’™+𝟐
πŸ‘π’™ πŸβˆ’π’™βˆ’πŸ
=
πŸ‘π’™+𝟐
πŸ‘π’™ πŸβˆ’π’™βˆ’πŸ
=
πŸ‘π’™+𝟐
(πŸ‘π’™+𝟐)(π’™βˆ’πŸ)
=
𝟏...
Adding and Subtracting Rational Expressions
Adding and Subtracting Rational Expressions
3 + 3
5 4 = 6/20 = 3/10
Find the LCD of..
The LCD is the product of each
uniqu...
Adding and Subtracting Rational Expressions
28 m3
Add the following:
First, find the LCD
Next, multiply both
sides by the ...
Complete Class Work
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May 30, 2014

  1. 1. May 30, 2014
  2. 2. Notes: 1. Test Dates: a. Rational Expressions/Multiplying & Dividing Rational Expressionsβ€”Thursday, June 5th. b. Final Exam: Wednesday, June 11. 2. Final Exam Study Guide posted @v6math. The solutions to all problems will be posted shortly. 3. Khan Academy due Tuesday, June 3rd for everybody. The last KA will be posted before the 2nd. 4. Find some graph paper in your notebook, put today’s date on it and leave it in your notebook when we are finished today. Warm up section, please.
  3. 3. Determine which point is a solution to the system of equations. y = -2x + 6 -2x + y = + 2 The solution to this system of equations is (1,4)
  4. 4. Solve for a specific variable S = 2h + 4 7q Scores on your first 2 tests were 85 and 65. What score must you get on your 3rd and final test to average 70%?
  5. 5. Review: Simplifying Rationals
  6. 6. Simplify the expression:
  7. 7. Multiply & State Excluded Values
  8. 8. πŸ• 𝟏𝟎 + 𝟐 𝟏𝟎 = πŸ— 𝟏𝟎 πŸ“ 𝒙 + π’™βˆ’πŸ“ 𝒙 = πŸ“+π’™βˆ’πŸ“ 𝒙 = 𝒙 𝒙 = 1 Adding and Subtracting Rational Expressions 1. All addition & subtraction rules of fractions apply. In particular: a) Like terms are much more important than when mult./dividing b) Finding the LCD of two unlike denominators is key to success
  9. 9. 𝟏. πŸ’ 𝒙+𝟏 + π’™βˆ’πŸ 𝒙+𝟏 = πŸ’+π’™βˆ’πŸ 𝒙+𝟏 = 𝒙+πŸ‘ 𝒙+𝟏 Adding and Subtracting Rational Expressions 𝟐. πŸπŸŽπ’™ π’™βˆ’πŸ’ βˆ’ πŸ–π’™ π’™βˆ’πŸ’ = πŸπŸŽπ’™βˆ’πŸ–π’™ π’™βˆ’πŸ’ = πŸπ’™ π’™βˆ’πŸ’
  10. 10. πŸπ’™ 𝒙 πŸβˆ’π’™βˆ’πŸ’πŸ βˆ’ π’™βˆ’πŸ” 𝒙 πŸβˆ’π’™βˆ’πŸ’πŸ Adding and Subtracting Rational Expressions = πŸπ’™βˆ’(π’™βˆ’πŸ”) 𝒙 πŸβˆ’π’™βˆ’πŸ’πŸ = πŸπ’™βˆ’π’™+πŸ” 𝒙 πŸβˆ’π’™βˆ’πŸ’πŸ = 𝒙+πŸ” 𝒙 πŸβˆ’π’™βˆ’πŸ’πŸ = 𝒙+πŸ” (𝒙+πŸ”)(π’™βˆ’πŸ•) = 𝟏 π’™βˆ’πŸ•
  11. 11. Adding and Subtracting Rational Expressions * = πŸ’π’™βˆ’(π’™βˆ’πŸ) πŸ‘π’™ πŸβˆ’π’™βˆ’πŸ = πŸ’π’™βˆ’π’™+𝟐 πŸ‘π’™ πŸβˆ’π’™βˆ’πŸ = πŸ‘π’™+𝟐 πŸ‘π’™ πŸβˆ’π’™βˆ’πŸ = πŸ‘π’™+𝟐 (πŸ‘π’™+𝟐)(π’™βˆ’πŸ) = 𝟏 π’™βˆ’πŸ
  12. 12. Adding and Subtracting Rational Expressions
  13. 13. Adding and Subtracting Rational Expressions 3 + 3 5 4 = 6/20 = 3/10 Find the LCD of.. The LCD is the product of each unique (different) factor 2β€’2 β€’r, 2 β€’5 β€’r β€’r = The LCD is 20r2
  14. 14. Adding and Subtracting Rational Expressions 28 m3 Add the following: First, find the LCD Next, multiply both sides by the LCD
  15. 15. Complete Class Work

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