Download - June 2, 2014
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Today:
Final Exam Review Rational Expressions Review Adding/Subtracting Rational
Expressions Class Work
Khan Academy Due Tomorrow for Everyone
June 2, 2014
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The specs for Samsung’s latest, yet to be released phone, were leaked online Saturday. Based on the specs, what will the screen size be? 1” = 25 mm.
8.57”≈ 8” in.
Final Exam Review: (June 11th )
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Write the equation for and graph the line perpendicular to the line shown and passing through the points (0,1) and (-2,0)
Final Exam Review: (June 11th )
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Final Exam Review: (June 11th )
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Simplifying Rational Expressions & Multiplying/Dividing
Simplify; Excludify
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Adding and Subtracting Rational Expressions
with like Denominators
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Adding and Subtracting Rational Expressions
with like Denominators
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=
=
Adding and Subtracting Rational Expressions
with unlike Denominators=
The LCD is the product of each unique (different)
factor4 = 2•2 6 = 2•3
1. Find the LCD of the denominators
The LCD is 12
2. Multiply each fraction (top & bottom) by the LCD.
𝟑 𝟐
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=
LCD=6x=
Adding and Subtracting Rational Expressions
with unlike Denominators
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Adding and Subtracting Rational Expressions
with unlike Denominators
The LCD of 5x and is 5
95𝑥−2
𝑥2
95𝑥∙𝒙𝒙−2
𝑥2∙𝟓𝟓
=
=
1. Find the LCD of the denominators
2. Multiply each fraction by the remaining factors of the LCD
3. Perform the addition or subtraction
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Find the LCD
= 6x2
= 10m5
= 12y4
= 4x6
3y3 4y4
10m2 5m54x6 2x6
3x2 2x2
Adding and Subtracting Rational Expressions
with unlike Denominators
t + 4 4t + 16 4t + 16 2r - 1 r + 4 (2r – 1)(r + 4)
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Find the LCD, Then solve:
=LCD= 6
LCD = 12y4 (4y)7 (3)5 (4y)3y3 (3)4y4
= 28y 15 12y4 12y4 =
+4 276x2 6x2
2 93x2 2x2
+ (2)2 (3)9 (2)3x2 (3)2x2= +
7 5 3y3 4y4
Adding and Subtracting Rational Expressions
with unlike Denominators
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Simplify:𝟒
𝒚+𝟓+
𝟔𝒚 −𝟐 ¿ 𝟒
𝒚+𝟓∙
( 𝒚−𝟐 )( 𝒚−𝟐 )
+ 𝟔𝒚 −𝟐
∙(𝒚+𝟓)(𝒚+𝟓)
LCD=
𝟒(𝒚−𝟐)(𝒚+𝟓)(𝒚−𝟐)
+𝟔 (𝒚+𝟓)
(𝒚+𝟓)(𝒚−𝟐)
¿𝟒 𝒚−𝟖
(𝒚+𝟓)(𝒚−𝟐)+
𝟔𝒚+𝟑𝟎(𝒚+𝟓)(𝒚 −𝟐)
¿𝟒 𝒚 −𝟖+𝟔 𝒚+𝟑𝟎(𝒚+𝟓)(𝒚 −𝟐)
¿𝟏𝟎𝒚+𝟐𝟐
(𝒚+𝟓)(𝒚−𝟐)
Adding and Subtracting Rational Expressions
with unlike Denominators