Free Printable Mod 12 - 13 Test Review

1.

Which of the following equations below represents the sequence presented in the table.

a)

$f\left(n\right)=6\left(\frac{1}{3}\right)^{n-1}$

b)

$f\left(n\right)=\frac{1}{3}\left(6\right)^{n-1}$

c)

$f\left(n\right)=72\left(\frac{1}{6}\right)^{n-1}$

d)

$f\left(n\right)=\frac{1}{3}\left(2\right)^{n-1}$

2.

What is the range of the function graphed above?

a)

All Real Numbers

b)

All real numbers greater than 0

c)

All real numbers less than 0

d)

All real numbers less than 20

3.

Given the sequence:

125, 25, 5, ....

Write the recursive rule for the geometric sequence above.

a)

$a_1=125\$ and $a_n=a_{n-1}\cdot\frac{1}{5}$

b)

$a_1=125$ and $a_n=a_{n-1}-100$

c)

$a_1=125$ and $a_n=a_{n-1}\cdot5$

d)

$a_1=625$ and $a_n=a_{n-1}\cdot\frac{1}{5}$

4.

Which graph is representative of the equation $f\left(x\right)=-\frac{1}{4}\left(4\right)^x$ ?

a)

b)

c)

d)

5.

Suppose a culture of bacteria begins with 5000 cells and 6% of the cells die off each year. Write an equation that represents this situation.

a)

y=5000(0.94)^x

b)

y=5000(0.4)^x

c)

y=5000(1.06)^x

d)

y=5000(0.06)^x

6.

Which of the following statements is not true about the function below:

y = 35(0.84)^x

a)

The initial value is 35

b)

The rate of decay is 16%

c)

The rate of growth is 84%

d)

The range of this function is y > 0

7.

The bee population in Katy is declining. This year the bee population is 120,000 but each year only $\frac{3}{4}$ of the bee population remains. What will the population be 5 years from now?

a)

117

b)

21,357

c)

37,969

d)

28,477

8.

Find the fifth term defined by the sequence

a_n=-2\cdot a_{n-1}

where

a_1=3

.

a)

-96

b)

24

c)

-162

d)

48

9.

Some banks charge a fee for a savings account that is left inactive for an extended period of time.

The equation $y=5000(0.98)^x$ represents the amount of money remaining, y, of one account that was left inactive for a period of x years.

What does the number 5000 represent in this situation?

a)

A fee charged for an inactive account

b)

The percent of money in the account after x years

c)

The amount of money in the account initially

d)

The amount of money in the account after x years

10.

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

a)

1266

b)

16

c)

7813

d)

9766

11.

Which of the following statements is true about the function below:

$y=100\left(\frac{5}{2}\right)^x$

a)

The y-intercept is (0, 2.5)

b)

The domain is x > 0.

c)

The function decreases from left to right.

d)

The function contains the point (1, 250)

12.

The table below shows the population of Middleton, where x is the number of years since the year 2000.

The exponential regression for this data is y=5011.45(1.2)^x. What is the population in 2012?

a)

37,235

b)

44,683

c)

72,165

d)

44,625

13.

The population growth in Youngstown is shown in the accompanying graph. If the same pattern of population growth continues, what will the population if Youngstown be in the year 2020?

a)

64,000

b)

40,000

c)

20,000

d)

32,000

14.

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

a)

7, 14, 28, 56...

b)

2, 14, 98, 686...

c)

2, 9, 16, 23...

d)

7,9,11,13...

15.

Which equation is representative of the graph?

a)

$y=2\left(3\right)^x$

b)

$y=3\left(2\right)^x$

c)

$y=2\left(6\right)^x$

d)

$y=2\left(\frac{1}{3}\right)^x$

Mod 12 - 13 Test Review

Total questions: 15

Worksheet time: 15mins

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