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Part 1: Open Response: Rational Expressions and Add/subtract Them

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Complete homework will contain…

…a complete heading.
…questions and correct, boxed answers written in pencil on loose leaf paper.
…questions answered following the process in your notes.
Failure to follow these guidelines will result in an IHW, regardless of the reason. If you have questions, please call.
Title/Topic
HW#97 Name: _____________________ Date: _____________________
Using the LCD to KIPP/2014/_________________ Math/Homework
add and subtract Mission: KWBAT apply previous knowledge to find the LCD of
rational rational expressions and add/subtract them.
expressions

Part 1: Open response


Answer the question in a complete sentence.
 Why do you need to multiply each rational expression? What do you
multiply by?

Part 2: Factoring practice


You will use the following factored polynomials at some point in parts 4 and 5 of
tonight’s homework. Here, show all factoring and checking just like you have
been doing. (There is an example on the second page for reference.)

1) ݉ଶ − 4 2) ܽଶ − 3ܽ + 2

Part 3: LCD Practice


 Find the LCD of the following groups of rational expressions.

ଵ ଻ ଽ ଶ ଺ ௫
3) , 4) , 5) ,
ସ௧ ଵ଺௥௧ మ ௫మ ௫௬ ௫ାଵ ௫ିଶ

Part 4: Adding and Subtracting Rational Expressions


 Add or subtract after finding the LCD.

଻ ௠ିଵ ସ௫ିଵଶ ଶ௫ାଵ ଷ௔ ହ


6) + 7) + 8) −
௠ାଶ ௠మ ିସ ଺ିଶ௫ ହ௫ିଵହ ௔ିଵ ௔మ ିଷ௔ାଶ

Part 5: Multiplying and Dividing Rational Expressions


 Multiply or divide. Write your answer in simplest form. SHOW ALL
FACTORING THAT YOU DID NOT SHOW IN PART 2.

଺௫ య ଽ௫ మ ௔య ି௔మ ௔మ
9) ÷ 10) ÷
ଵ଼௫ ଵ଴௫ ర ௔య ௔ିଵ
Complete homework will contain…
…a complete heading.
…questions and correct, boxed answers written in pencil on loose leaf paper.
…questions answered following the process in your notes.
Failure to follow these guidelines will result in an IHW, regardless of the reason. If you have questions, please call.

Honors Assignment

 Complete the open response and the even numbered problems from
Parts 2-5.
 Complete the problems below.

Make these fractions speak the same language, then add:

௫ ଽ
1) +
௫ మ ି௫ି଺ ௫ మ ିଽ

Divide and simplify:

ଽ௫ మ ିଵ଺ ଺௫ మ ାଵଵ௫ାସ ଷ௔మ ିହ௔௕ିଵଶ௕మ


2) ÷ 3) ÷ (3ܾଶ − ܾܽ)
଺௫ మ ିଵଵ௫ାସ ଼௫ మ ାଵ଴௫ାଷ ଷ௔௕ାସ௕మ

Add or subtract. Write your answer in simplest form:

௣మ ି଺ ଶ௣మ ାହ௣ିଷ ଷ௣మ ା௣ିସ


4) + −
ଷ௣ା଼ ଷ௣ା଼ ଷ௣ା଼

Simplify. Write your answer in simplest form.

ଷ ଶ௫ାଵଵ ିଵ ଺௫ାଷ
5) ∙ − ∙
௫ାସ ௫ିଷ ସା௫ ଷି௫

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