Free Printable Quiz on 9.1-9.2

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Quiz on 9.1-9.2

Total questions: 25

Worksheet time: 49mins

Name

Class

Date

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

1024, 2048, 4096

32, 8, 2

64, 32, 16

92, 66, 38

What is the 14th term of the geometric sequence?

(a)

What is the 9^th term in a geometric sequence with a common ratio of 2 and a first term of 3?

(a)

Daisy received $2 on her first birthday. Each year, the amount of money she received tripled. How much money will she receive on her 5^th birthday?

(a)

Find the common ratio: 64, -16, 4, -1, ...

r = -8

r = -1/4

r = -4

r = 4

Find the next three terms: -4, -12, -36, -108, ...

36, -108, 324

-324, -972, -2916

324, -972, 2916

-108, 324, -972

You have $10 in you bank account. It doubles every month. How much money will you have after 5 months?

(a)

Which sequence is represented by the equation 2(7)^n-1 ?

7, 14, 28, 56...

2, 14, 98, 686...

2, 9, 16, 23...

7,9,11,13...

What is the common ratio for the following sequence:

3, 15, 75, 375, ...

1/5

10.

What is the x-intercept of the exponential function?

(0,1)

(0,0)

There is not one

11.

What is the y-intercept of the function?

-2

12.

Identify the starting value (a) in the function f(x)=13(.27)^x

(a)

13.

Identify the common ratio of the function f(x)=2(4)^x.

(a)

14.

Which variable represents time passed in the function y=ab^x?

15.

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.

Is the population of elephants increasing or decreasing?

Increasing

Decreasing

16.

The amount of ants in a colony, f, that is decaying can be modeled by f(x) = 800(.87)^x, where x is the number of days since the decay started. Suppose f(20) = 49. Which of the following is true?

After 20 days, there are 49 ants in the colony.

After 49 days there are 20 ants in the colony.

The amount of ants times 20 is 49.

After 20 days the amount of ants remaining decreases by 49.

17.

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
What does the value 12 represent?

The predicted increase in number of elephants in the refuge each year.

The predicted decrease in number of elephants in the refuge each year.

The number of years it will take for the elephant population to stop increasing.

The initial amount of elephants in the park.

18.

Daniel’s Print Shop purchased a new printer for $35,000. After the second year, the printer is worth $33,250. If the printer's value forms a geometric sequence, how much will the printer be worth in 8 years?

$23,219.72

$136.72

$51,710.94

$16,710.94

19.

What is the equation that represents the exponential function in the image below?

y=3(½)^x

y=3(2)^x

y=(2)^x

y=2(3)^x

20.

What is the equation for this graph?

y=3(2)^x

y=2(3)^x

y=4(2)^x

y=2(5)^x

21.

What is the equation for this graph?

y=2(5)^x

y=2(4)^x

y=3(2)^x

y=2(3)^x

22.

Which function is exponential?

f(x)

h(x)

g(x)

23.

The table represents ...

Linear function with common ratio of 2

Exponential function with common difference of 50

Exponential function with common ration 0.5

Exponential function with common ratio of -2

24.

Write the exponential equation for this situation.

Mr. Exponent told his English class that each week students tend to forget one sixth of the vocabulary words they learned the previous week. If the students learn 30 words, write an exponential equation to describe the number of words forgotten after x weeks.

$A=30\left(6\right)^x$

$A=30\left(\frac{1}{6}\right)^x$

$A=\frac{1}{6}\left(30\right)^x$

$A=\frac{1}{6}\left(\frac{1}{30}\right)^x$

25.

Write the exponential equation for the situation.

In 1971, there were 294,105 females participating in high school sports. Since then, that number has tripled each year. Write an equation to represent the number of females participating in high school sports since 1971.

$A=294,105\left(\frac{1}{3}\right)^x$

$A=294,105\left(3\right)^x$

$A=294,105\left(2\right)^x$

$A=3\left(294,105\right)^x$

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Quiz on 9.1-9.2

Total questions: 25

Worksheet time: 49mins

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