Today:
Final Exam Review Rational Expressions Review Adding/Subtracting Rational
Expressions Class Work
Khan Academy Due Tomorrow for Everyone
June 2, 2014
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 )
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 )
Final Exam Review: (June 11th )
Simplifying Rational Expressions & Multiplying/Dividing
Simplify; Excludify
Adding and Subtracting Rational Expressions
with like Denominators
Adding and Subtracting Rational Expressions
with like Denominators
=
=
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
=
LCD=6x=
Adding and Subtracting Rational Expressions
with unlike Denominators
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
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)
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
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
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