Algebra 2 Unit 9 - Other Functions Packet - Dam

UNIT 9:
Other Functions

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SUCCESS CRITERIA
I can… solve radical and rational equations.
I can explain… why rational and radical functions have certain key features.
I can justify… why a solution is extraneous.
I can apply… a system of equations to a real life scenario.

LESSON TABLE OF CONTENTS PG #
9.1 3
9.2 TITLE 4-5
9.3 Radical Equations 6-7
Rational Expressions & Equations
Systems of Equations 2

Lesson 9.1 - Radical Equations 5) = √12 −

1) 2√ + 1 = 4

2) (6 + 8)1/2 − 3 = 0 6) = −3 + √2 + 54

3) 3 2/3 − 30 = 18 7) √2 − 14 + 7 =
4) √7 = √3 + 4

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Lesson 9.2 - Rational Expressions & Equations

Simplify each rational expression.

9 4 3 45 −7
1) 27 2 2) 10 −15 3) 2−3 −28

4) −7 ⋅ 2−16 5) −7 ÷ 4−
2−3 −28 4 2−3 −28 5 3−20 2

6) 5− − 2+3 8) 2 − 3 − −6
2+3 −10 −2
+1 +1

7) −2 − 2 9) 2 − 3 − −6
2+3 −10 4 −8
3

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Solve each rational equation.

1) = 5

42

6) 2 +1= 4

5 3 15

2) 5 =4
− 1

3) − 6 = −2 − 2 7) 8 − 2 = − 2
+ 2 2 + 2
3 15

4) + 3 = 15

+ 1 + 7

8) + 2 = 3 + 7
+ 6 + 7 2 + 13 + 42

5) 1 =

2 + 5 11 + 8

9) − 2 + 3 = 2
− 3

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Lesson 9.3 - Systems of Equations

Systems of Equations

Solve each system of equations.
1) = 2 − 2 − 37

= − + 5

2) = −2 2 − 4 + 1
7 = 2 −

3) The revenue for a school play is given by = −50 2 + 300 , where is the ticket price in dollars.
The cost to produce the play is given by = 600 − 50 . Determine the ticket price that will allow
the school play to break even.

4) Sam is a songwriter who collects royalties on her songs whenever they are played. She earns $50
every time her song is played in a commercial and $140 every time her song is played in a movie.
Sam’s songs were played on 4 more commercials than movies, and her royalties were $770.
Determine the number of commercials and movies on which Sam’s songs were played.

5) = √2 − 1
= − 2

6

6) = 2√ − 1
= 2 − 6

7) = √7 − 6
= − 6

8) = √ − 3 − 2
= − 7

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