The following questions focus on solving rational functions. Problems include adding, subtracting, graphing, and the reciprocals/inverses of rational functions. Complete all of the following MULTIPLE CHOICE questions and fill in all written answers with a minimum of 3 sentences.

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Lesson 8: Rational Functions Unit Test

ALG II B 2522 Unit 4: Rational Functions

Assessment

10. Simplify the rational expression. State any restrictions on the variable. (1 point)

+1-6

² – 9

O

,t#3,-3

t-3

1 +2

,t*3

t*3.6*-3

1 + 3

.t#3,13-2

11. What is the product in simplest form? State any restrictions on the variable. (1 point)

x2 +5x+6.

x2 + x-12

x+x-2

x+4

0

(x+3)(x-3)

x*-2, x*-4

x-1

(x+3)(x-3)

.x*-2, x*-4,x*1

(r-1Yx+

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Lesson 8: Rational Functions Unit Test

ALG II B 2522 Unit 4: Rational Functions

Assessment

7.

(1 point)

Describe the vertical asymptote(s) and hole(s) for the graph of y =

x-4

x + 3x +2

O asymptotes: x=-2, 1 and no holes.

O asymptotes: x=2,-1 and hole: x = 4.

O asymptotes: x=-2, -1 and no holes.

O asymptotes: x=-2, -1 and hole: x=4

8.

Find the horizontal asymptote of the graph of y=

-2x +5x+8 (1 point)

8x +6x+5

1

Oy=-

Oy=0

Oy= 1

Ono horizontal asymptote

9. Which of the following is the graph of the rational function? (1 point)

y=

+5x-12

7² – 25

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Lesson 8: Rational Functions Unit Test

ALG II B 2522 Unit 4: Rational Functions

Assessment

a

(x+3)(x-3)

x*-2, x*-4

x-1

(x+3)(x-3)

.x*-2, x *-4,x=1

(x – 1)(x+2)

(x+3)(x-3)

.x+-2,-4

(x – 1)(x+2)

(x+3)(x-3)

,x-2, x*-4,x+1

x-1

0

12. Which is equivalent to

2x

X-7

x + 7 (1 point)

X

X-7

O x(x-7)

X +7

O x(x-7)

x + 49

O x(x-7)

x? – 49

O x(x-7)

13 What is the difference in simnlest form? (1 noint)

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Lesson 8: Rational Functions Unit Test

ALG II B 2522 Unit 4: Rational Functions

Assessment

13. What is the difference in simplest form? (1 point)

2n

na + 3n+2

na +5n+6

x+3

1-

Ο Ο Ο Ο

n+3

1

a

» +3

0

> +1

» +3

0

»-1

» +3

14. Simplify the sum.

(1 point)

d-7d+12 +

d²-d-6

da +5d +6

d2 -2d-15

2d2 – 5d + 24

0

(d + 2)(d-5)

2d2 – 13d +24

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(1) Boyd Janson “DUIKEN”

X Brook Singleton’s Home Pa X ALG II B 2522: Rational IX

L studypool – Bing

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X

E

0

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Lesson 8: Rational Functions Unit Test

ALG II B 2522 Unit 4: Rational Functions

Assessment

d² -d-6

d2 – 2d -15

2d2 – 5d +24

O

(d + 2)(d-5)

2d2 – 13d +24

(d +2)(d -5)

2d2 +13d +24

(d+2)(d-5)

2dº +5d + 24

(d+2)(d-5)

15. Simplify the complex fraction (1 point)

n-3

2 +6n +8

n+1

» +2

n-3

(n+4)(n+1)

(n-3)(x+2)

(n+AY» +11

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