Free Printable Unit 5 Mid-Unit Review

1.

Which variable (letter) represents the growth factor in the exponential equation form:

$y=a\cdot b^x$

a)

y

b)

a

c)

b

d)

x

2.

Which exponential equation shows the highest growth factor?

a)

$f\left(x\right)=500\cdot\left(\frac{5}{4}\right)^x$

b)

$g\left(x\right)=20\cdot4^x$

c)

$h\left(x\right)=13\cdot\left(\frac{1}{20}\right)^x$

d)

$b\left(x\right)=13\cdot\left(\frac{1}{4}\right)^x$

3.

Which variable (letter) represents the initial value in the exponential equation form:

$y=a\cdot b^x$

a)

y

b)

a

c)

b

d)

x

4.

Stacy collects postage stamps. She started with 4 and the table below shows how her collection grows each month.

What equation gives the number of postage stamps, p, she has at month m?

a)

$p=4+2^m$

b)

$p=2+4m$

c)

$p=4\cdot2^m$

d)

$p=4+4m$

5.

If I know a function is growing or decaying "exponentially", I know it is changing in the way that it:

a)

adds by the same number every time

b)

multiplies by the same number every time

c)

stays the same every time

d)

decreases every time

6.

A brownie tray loses 1/4 of its brownies every minute. Which graph could represent this scenario?

a)

b)

c)

d)

7.

The equation $m\left(t\right)=200\cdot\left(\frac{1}{2}\right)^t$ gives the amount of medicine in milligrams, m, in a patient's body over t hours.

How much medicine will be in the patient's body after 3 hours?

(a)

8.

The equation $m\left(t\right)=200\cdot\left(\frac{1}{2}\right)^t$ gives the amount of medicine in milligrams, m, in a patient's body over t hours.

What does the 200 represent in this situation?

a)

The amount of medicine is multiplying by 200 each hour.

b)

The patient started with 200 mg of medecine in their body.

c)

The amount of medicine decreases by 200 mg each hour.

d)

The patient has 200 mg of medicine in their body by the first hour.

9.

The equation $m\left(t\right)=200\cdot\left(\frac{1}{2}\right)^t$ gives the amount of medicine in milligrams, m, in a patient's body over t hours.

What does the 1/2 represent in this situation?

a)

The amount of medicine is multiplying by 1/2 each hour.

b)

The patient started with 1/2 mg of medecine in their body.

c)

The amount of medicine decreases by 1/2 of a mg each hour.

d)

The patient has 1/2 mg of medicine in their body by the first hour.

10.

The function $v\left(t\right)=150\cdot3^t$ gives the number of views, v, on day t since a video was posted.

What does v(-2) represent in this situation?

a)

the number of views 2 days before the video was posted

b)

the number of views 2 days after the video was posted

c)

the number of views half a day after the video was posted

d)

there were -2 views before the video was posted

11.

The function $v\left(t\right)=150\cdot3^t$ gives the number of views, v, on day t since a video was posted.
Find v(-2).

a)

about 17

b)

exactly 50

c)

exactly 75

d)

exactly 45

12.

For the equation $y=4\cdot3^x$ , graph the points for the x values -2, -1, 0, 1, and 2

13.

Greg is giving away hats each week from his hat collection. He has 100 to start with, and he never wants to end up with 0, so he always gives 1/4 of his current number of hats.

Write an equation for how many hats he has left each week:

(remember to put parentheses around a fraction!)

h(w)= _

(a)

14.

Here's what that graph should've looked like:

a)

I got it! :)

b)

Whoops, I mess up on the negative x-value points...

c)

Do NOT pick this

Unit 5 Mid-Unit Review

Total questions: 14

Worksheet time: 30mins

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