Quiz about EOC.5 Algebra 1 Full Unit 5 Milestone Review

Question 1

What does r represent?

Accepted Answer

Common ratio

Answer

Radical

Answer

Common difference

Question 2

What does a₁ represent?

Accepted Answer

First term

Answer

Any term

Answer

Last term

Question 3

Find the common ratio for the geometric sequence.

Accepted Answer

2

Answer

10

Answer

1/2

Answer

4

Question 4

Is the sequence -432, 72, -12, 2,...geometric?

Accepted Answer

yes

Answer

no

Question 5

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

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

Accepted Answer

64, 32, 16

Answer

1024, 2048, 4096

Answer

32, 8, 2

Answer

92, 66, 38

Question 6

What is the 14th term of the geometric sequence?

Accepted Answer

4,782,969

Answer

14,348,907

Answer

1,594,323

Answer

45

Question 7

Find a₁₂ in the sequence -1, -3, -9, -27, ...

Accepted Answer

-177,147

Answer

-19,683

Answer

-59,049

Answer

118,098

Question 8

Determine whether the sequence is arithmetic, geometric, or neither.

Accepted Answer

arithmetic

Answer

geometric

Answer

neither

Question 9

Determine whether the sequence is arithmetic, geometric, or neither.

Accepted Answer

geometric

Answer

arithmetic

Answer

neither

Question 10

Write the explicit formula for the geometric sequence.

Accepted Answer

a_n = 100(1/2)^n-1

Answer

a_n = 2(100)^n-1

Answer

a_n = 100(2)^n-1

Answer

a_n = (1/2)(100)^n-1

Question 11

Does the graph represent an exponential growth or an exponential decay function?

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Question 12

What does the y-intercept of the graph represent?

Accepted Answer

The initial amount of grams.

Answer

The amount of grams the material is gaining.

Answer

The amount of grams the material is losing.

Answer

The amount of grams remaining after so many years.

Question 13

Which of the following is an increasing exponential function whose y-intercept is 50?

Accepted Answer

y = 50(1.4)^x

Answer

y = 50(.05)^x

Answer

y = 50x - 4

Answer

y = (2)^x + 50

Question 14

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?

Accepted Answer

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

Answer

After 49 days there are 20 ants in the colony.

Answer

The amount of ants times 20 is 49.

Answer

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

Question 15

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?

Accepted Answer

The initial amount of elephants in the park.

Answer

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

Answer

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

Answer

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

Question 16

Is this exponential growth or decay?

Accepted Answer

Decay

Answer

Growth

Question 17

Is the graph linear, exponential or neither?

Accepted Answer

Linear

Answer

Exponential

Answer

Neither

Question 18

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

Accepted Answer

f(x)=400(1+0.03)^x

Answer

f(x)=400(1+3)^x

Answer

f(x)=400(1-0.03)^x

Answer

f(x)=400(0.03)^x

Question 19

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

Accepted Answer

y = 15(1.35)^x

Answer

y = 15(35)^x

Answer

y = 15(0.35)^x

Answer

y = 35(1.15)^x

Question 20

Suppose you deposit $3000 in a savings account that pays interest at an annual rate of 4%. If no other money is added or withdrawn from the account, how much will be in the account after 10 years?

Accepted Answer

$4440.73

Answer

$3122.18

Answer

$4994.50

Answer

$86,776.40

Question 21

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

Accepted Answer

4309

Answer

14327

Answer

839

Answer

7680

Question 22

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

Accepted Answer

y=5000(0.7)^x

Answer

y=30(5000)^x

Answer

y=5000(1.3)^x

Answer

y=5000xx

Question 23

Riley invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually, how much total will Riley earn in 15 years?

Accepted Answer

$2,706.86

Answer

$1,584.62

Answer

$2,651.39

Answer

$1,825.10

Question 24

Find the domain.

Accepted Answer

all real numbers

Answer

all values less than 1

Answer

all positive numbers

Answer

all values less than 0

Question 25

What is the transformation?

Accepted Answer

Horizontal Translation right 1

Answer

Vertical Translation up 1

Answer

Vertical Translation down 1

Answer

Horizontal Translation left 1

Question 26

What is the transformation?

Accepted Answer

Vertical Translation up 2

Answer

Vertical Translation down 2

Answer

Horizontal Translation left 2

Answer

Horizontal Translation right 2

Question 27

What is the transformation?

Accepted Answer

Vertical Translation down 2 and Horizontal Translation left 1

Answer

Vertical Translation up 2 and Horizontal translation right 1

Answer

Horizontal Translation left 2 and Vertical Translation up 1

Answer

Horizontal Translation right 2 and Vertical Translation down 1

Question 28

What is the y-intercept of the function $y=4\left(5\right)^x?$

Accepted Answer

(0, 4)

Answer

(0, 0)

Answer

(0, 5)

Question 29

What is the asymptote of the function $y=4\left(5\right)^x?$

Accepted Answer

y = 0

Answer

y = 4

Answer

y = 5

Question 30

What is the range of the function shown below?

Accepted Answer

y > 0

Answer

0 < y < 12

Answer

-2 < y < 5

Answer

All Real Numbers

Question 31

What is the rate of change between [2,4] for the function y=5(4)^x?

Accepted Answer

600

Answer

80

Answer

1280

Answer

400

Question 32

When is the function decreasing?

Accepted Answer

(15, 40)

Answer

(30, 55)

Answer

(40, 60]

Answer

(60, -40)

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