Algebra 2 - Rational Functions and Sequence & Series

Algebra 2 - Rational Functions and Sequence & Series

9th - 12th Grade

20 Qs

quiz-placeholder

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Algebra 2 - Rational Functions and Sequence & Series

Algebra 2 - Rational Functions and Sequence & Series

Assessment

Quiz

Mathematics

9th - 12th Grade

Hard

Created by

Barry Wimmer

Used 7+ times

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Select the function that is NOT a rational function.

 y=3x2x2y=\frac{3x^2}{x-2}  

 y=7x5y=7x-5  

 y=x+4y=\sqrt{x+4}  

 y=x22x+8y=\frac{x-2}{2x+8}  

2.

MULTIPLE SELECT QUESTION

2 mins • 1 pt

Select each sequence that is a geometric sequence.

 5, 10, 20, 40, 80, . . . 5,\ 10,\ 20,\ 40,\ 80,\ .\ .\ .\   

 3, 1, 5, 9, 13, . . . -3,\ 1,\ 5,\ 9,\ 13,\ .\ .\ .\   

 8, 163, 329, 6427, 12881, . . . 8,\ \frac{16}{3},\ \frac{32}{9},\ \frac{64}{27},\ \frac{128}{81},\ .\ .\ .\   

 2, 2k, 2k2, 2k3, 2k4, . . .   k0, k12,\ 2k,\ 2k^2,\ 2k^3,\ 2k^4,\ .\ .\ .\ \ \ k\ne0,\ k\ne1  

 4, 20, 120, 840, 6720, . . . 4,\ 20,\ 120,\ 840,\ 6720,\ .\ .\ .\   

3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain, in your own words, how to determine if a sequence is arithmetic or not.

Evaluate responses using AI:

OFF

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What are the next 3 terms in the sequence?


 5, 15, 25, 35, ? , ?, ?5,\ 15,\ 25,\ 35,\ ?\ ,\ ?,\ ?  

 55, 65, 7555,\ 65,\ 75  

 45, 55, 6545,\ 55,\ 65  

 40, 45, 5040,\ 45,\ 50  

 70, 140, 28070,\ 140,\ 280  

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which rational function has a hole in the graph?

y=xx+5y=\frac{x}{x+5}

y=x2x(x3)y=\frac{x-2}{x\left(x-3\right)}

y=x+1(x+1)(x5)y=\frac{x+1}{\left(x+1\right)\left(x-5\right)}

y=x+3(x+1)(x2)y=\frac{x+3}{\left(x+1\right)\left(x-2\right)}

6.

FILL IN THE BLANK QUESTION

1 min • 1 pt

 4, 12, 36, 108, . . . 4,\ 12,\ 36,\ 108,\ .\ .\ .\   State the common ratio of the geometric sequence . . .


Write your answer as a single number; Example Response: 7

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the recursive formula for the given sequence?

 2, 10, 50, 250, . . . 2,\ 10,\ 50,\ 250,\ .\ .\ .\   

 a1=2;  an=5a(n1)a_1=2;\ \ a_n=5\cdot a_{\left(n-1\right)}  

 an=5a(n1)a_n=5\cdot a_{\left(n-1\right)}  

 an=25(n1)a_n=2\cdot5^{\left(n-1\right)}  

 a1=2;  an=a(n1)+5a_1=2;\ \ a_n=a_{\left(n-1\right)}+5  

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