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M3 T2 Exponentials Review

Total questions: 14

Worksheet time: 16mins

Name
Class
Date
1.

1) Malea bought the following number of stickers each day:

One sticker the first day.

Four stickers the second day.

Sixteen stickers the third day.

Sixty-four stickers the fourth day.


What is the common multiplier?

a)

2

b)

4

c)

8

d)

My answer isn't on here.

2.

1) Malea bought the following number of stickers each day:

One sticker the first day.

Four stickers the second day.

Sixteen stickers the third day.

Sixty-four stickers the fourth day.


What is the correct function that represents the number of stickers as a function of the number of days.

a)

f(x) = 4x

b)

g(x) = 4x-1

c)

My answer isn't on here.

3.

Which country is home to the kangaroo?

a)

Australia

b)

New Zealand

c)

China

d)

South Africa

4.

2a) Write √10 using a rational exponent.

a)

102

b)

101

c)

101/2

d)

My answer isn't on here.

5.

2b) Write 81/3 in radical form.

a)

8

b)

√8

c)

∛8

d)

My answer isn't on here.

6.
What social media logo is this?
a)
Snapchat
b)
Flickr
c)
Yahoo
d)
Yik Yak
7.

3) Michael puts $8,000 into a savings account that pays 2.5% interest that is compounded annually.

Write a function that represents the total amount of money in his account as a function of the number of years.

a)

f(x) = 8000(2.5)x

b)

f(x) = 8000(0.025)x

c)

f(x) = 8000(1.025)x

d)

f(x) = 8000(0.975)x

8.
Name Batman’s crime fighting partner
a)
Robin
b)
Bat Mobile
c)
Bruce Wayne
d)
Spider Man
9.

4) The population of Meyersdale is changing exponentially. This change is modeled by the function

f(x) = 6,600(0.92)x. Interpret the function to describe how the population changes. Select all answers that are correct.

a)

The starting population of Meyersdale was 6,692.

b)

The starting population of Meyersdale was 6,600.

c)

The population is decreasing.

d)

The population is changing by 92%

e)

The population is changing by 8%.

10.
The thirteen stripes on the flag of the USA represent
a)
the thirteen countries the USA has purchased land from.
b)
the thirteen battles of the Revolutionary War.
c)
the thirteen original colonies.
d)
the thirteen founding fathers.
11.

6) Let f(x) = 2x and h(x) = -2x+5. How has f(x) transformed to become h(x)? Select ALL that apply.

a)

Translated right 5 units.

b)

Translated up 5 units.

c)

Reflected over the x-axis.

d)

Dilated by a factor of 5.

e)

Dilated by a factor of 2.

12.

How many days are in March?

a)

28

b)

30

c)

31

d)

912

13.

7) Emily placed $2,000 into a savings account with 3% interest, compounded annually. She also has $900 in a safe at home that she does not touch or add to. Write Emily’s total savings S(t) as a function of time in years, t.

a)

S(t) = 2000(1.3)t

b)

S(t) = 2000(3)t + 900

c)

S(t) = 900

d)

My answer isn't on here.

14.

8) Emily placed $2,000 into a savings account with 3% interest, compounded annually. She also has $900 in a safe at home that she does not touch or add to. Emily’s total savings is modeled by the function S(t) = 2000(1.03)t + 900. What is the y-intercept and the horizontal asymptote?

a)

y-int: (0, 900)

HA: y = 0

b)

y-int: (0, 2900)

HA: y = 0

c)

y - int: (0, 2900)

HA: y = 900

d)

y - int: (0, 900)

HA: y = 2000