Quiz about Unit 5 Quiz 2 Review (Math 1)

Question 1

This is an example of: $$f\left(x\right)=90\ \left(\ \frac{1}{2}\right)^x$$

Accepted Answer

Exponential Decay

Answer

Linear Growth

Answer

Linear Decay

Answer

Exponential Growth

Question 2

This is an example of: $$f\left(x\right)=3\ \left(\ \frac{5}{2}\right)^x$$

Accepted Answer

Exponential Growth

Answer

Linear Growth

Answer

Linear Decay

Answer

Exponential Decay

Question 3

How do you know that this was exponential decay? $$f\left(x\right)=\ 25\ \left(\ 0.20\right)^x$$

Accepted Answer

Because the 0.20 was less than one

Answer

Because the 25 was bigger than one

Answer

Because the 0.20 was bigger than one

Answer

Because the 25 was less than one

Question 4

How do you know that this was exponential growth? $$f\left(x\right)=0\ .25\ \left(\ 1.3\right)^x$$

Accepted Answer

Because the 1.3 was bigger than one

Answer

Because the 0.25 was bigger than one

Answer

Because the 0.25 was less than one

Answer

Because the 1.3 was less than one

Question 5

A flea medicine breaks down at a rate of 20% per hour. This is the rate of decay of the medicine. The initial dose is 60 milligrams. Which of the following represent the equation the models the amount of flea medicine left in an animal?

Accepted Answer

$$y=60\left(.8\right)^x$$

Answer

$$y=60\left(.2\right)^x$$

Answer

$$y=20\left(60\right)^x$$

Answer

$$y=60\left(1.2\right)^x$$

Question 6

Jack invest $600 earning 5% interest rate. How much will he have after 5 years?

Accepted Answer

$765.77

Answer

$630

Answer

$729.30

Answer

$4556.25

Question 7

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 8

Consider the relationship represented by this table. Is it linear, exponential or neither?

Accepted Answer

Exponential

Answer

Linear

Answer

Neither

Question 9

Consider the relationship represented by this table. Is it linear, exponential or neither?

Accepted Answer

Neither

Answer

Linear

Answer

Exponential

Question 10

Consider the relationship represented by this table. Is it linear, exponential or neither?

Accepted Answer

Neither

Answer

Linear

Answer

Exponential

Question 11

8^3x+3 = 8⁶

Accepted Answer

x=1

Answer

x=28

Answer

x=3

Answer

x=12

Question 12

Solve for x:
(-3)^x = (-3)¹³

Accepted Answer

x = 13

Answer

x = -3

Answer

x = -13

Answer

x = -1

Question 13

Solve: 2^x = 4^x+1

Accepted Answer

x = -2

Answer

x = 2

Answer

x = -3

Answer

x = 3

Question 14

Solve: 9^8-x = 27^x-3

Accepted Answer

x = 5

Answer

x = -5

Answer

x = 1/5

Answer

x = -1/5

Question 15

Sovle for x:
5^{-3x - 1} = 25

Accepted Answer

x = -1

Answer

x = -4

Answer

x = -3

Answer

x = 1

Question 16

Solve for p:
4^p+2 = 64

Accepted Answer

p = 1

Answer

p = -16/9

Answer

p = 8

Answer

p = 7/6

Question 17

81^3-x = (1/3)^5x-6

Accepted Answer

-6

Answer

6

Answer

9/2

Answer

3/2

Question 18

What is the Domain of this exponential function?

Accepted Answer

All Real Numbers

Answer

y=1

Answer

x=0

Answer

x>0

Question 19

What is the Range of this function?

Accepted Answer

y> 0

Answer

x> 0

Answer

All Real Numbers

Answer

y= 1

Question 20

What is the range of the exponential function?

Accepted Answer

y > 3

Answer

all real numbers

Answer

y < 3

Answer

x > 3

Question 21

What is the domain of the exponential function?

Accepted Answer

all real numbers

Answer

y > 3

Answer

y < 3

Answer

x > 3

Question 22

What is the range of the exponential function?

Accepted Answer

y < -3

Answer

all real numbers

Answer

y > -3

Answer

x > -3

Question 23

Which graph corresponds to the exponential function $$y=4^x$$ ?

Hint: Try to graph this on your own by making a table and then matching it to a graph below.

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 24

Given the function $$y=3\left(2\right)^x$$ , fill in the blank in the table when $$x=5$$ .

Accepted Answer

96

Answer

7776

Answer

30

Answer

$$-30$$

Question 25

$$y=100\left(\frac{2}{3}\right)^x-50$$ Which table is correct for the equation?

Hint: Try to make a table for this equation on your own and then compare it to table below.

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 26

Simplify:

$$\left(x^2\right)^3\cdot3x^3$$

Accepted Answer

$$3x^9$$

Answer

$$3x^8$$

Answer

$$3x^{18}$$

Answer

$$9x^9$$

Question 27

Solve. $$\left(\frac{2\ ^3}{5\ ^2}\right)\ ^2$$

Accepted Answer

$$\frac{2\ ^6}{5\ ^4}$$

Answer

$$\frac{2\ ^5}{5\ ^4}$$

Answer

$$\frac{4\ ^5}{25\ ^5}$$

Answer

$$\frac{4\ ^6}{10\ ^4}$$

Question 28

Simplify the following expression:

(2x³y)⁶

Accepted Answer

64x¹⁸y⁶

Answer

2x¹⁸y⁶

Answer

64x3y6

Answer

2x3y6

Question 29

x⁵y³ / xy²

Accepted Answer

x4y

Answer

x2y

Answer

x4y2

Answer

x6y5

Question 30

Simplify:

$$7a^2\cdot\left(5a^6b\right)^2$$

Accepted Answer

^{$$175a^{14}b^2$$}

Answer

^{$$35a^{14}b^2$$}

Answer

$$175a^{12}b^2$$

Answer

$$35a^{14}b$$

Question 31

If your index is even, how many answers will there be?

Accepted Answer

two

Answer

zero

Answer

one

Answer

three

Unit 5 Quiz 2 Review (Math 1)

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