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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

June 2, 2014

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Page 1: June 2, 2014

Today:

Final Exam Review Rational Expressions Review Adding/Subtracting Rational

Expressions Class Work

Khan Academy Due Tomorrow for Everyone

June 2, 2014

Page 2: 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 )

Page 3: June 2, 2014

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 )

Page 4: June 2, 2014

Final Exam Review: (June 11th )

Page 5: June 2, 2014

Simplifying Rational Expressions & Multiplying/Dividing

Simplify; Excludify

Page 6: June 2, 2014

Adding and Subtracting Rational Expressions

with like Denominators

Page 7: June 2, 2014

Adding and Subtracting Rational Expressions

with like Denominators

Page 8: June 2, 2014

=

=

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

Page 9: June 2, 2014

=

LCD=6x=

Adding and Subtracting Rational Expressions

with unlike Denominators

Page 10: June 2, 2014

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

Page 11: June 2, 2014

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)

Page 12: June 2, 2014

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

Page 13: June 2, 2014

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