Quiz about Final Exam Review (Algebra 2)

Question 1

Question 1.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 2

Question 2.

Accepted Answer

R

Answer

M

Answer

P

Answer

S

Question 3

Question 3.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 4

Question 4.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 5

Question 5.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 6

Question 6.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 7

Question 7.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 8

Question 8.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 9

A restaurant sells pizza for the prices in the data table.  Calculate the linear regression equation of the data.

Accepted Answer

y = 1.5x + 12

Answer

y = 12x + 1.5

Answer

y = 0.67x - 8

Answer

y = -8x + 0.67

Question 10

Find the quadratic regression equation for the relationship of the horizontal distance and the height of the ball in the provided table.

Accepted Answer

$$-0.12x^2+2.11x+4.22$$

Answer

$$-18x^2+2.11x+4.21$$

Answer

$$-0.06x^2+1.06x+7.9$$

Answer

$$-6x^2+1.06x+79$$

Question 11

Find the best fitting Quadratic model for the data

Accepted Answer

$$-0.26x2^2+22.59x+23.02$$

Answer

$$-0.26x^2-17.3x+222.8$$

Answer

$$2.6x^2+22.9x+20.03$$

Answer

$$2.6x^2+2.3x+23.02$$

Question 12

Write the exponential regression equation for the data.

Accepted Answer

Y=8.16(2.7)^x

Answer

Y=81.6(2.7)^x

Answer

Y=8.16(.27)^x

Answer

Y=8.16(27)^x

Question 13

A chemist has a 100-gram sample of a radioactive material.  He records the amount of radioactive material every week for 6 weeks and obtains the following data: Find the exponential model of the function.

Accepted Answer

y = 100(.87)^x

Answer

y = 100(8.7)^x

Answer

y = 100(1.87)^x

Answer

y = 100(.13)^x

Question 14

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many chapters would be in a book with 180 pages.

Accepted Answer

18 chapters

Answer

12 chapters

Answer

15 chapters

Answer

21 chapters

Question 15

Find the slope for the trend line using points (2,2) and (4,3)

Accepted Answer

1/2

Answer

2

Answer

-2

Answer

-1/2

Question 16

Question 16.

Accepted Answer

y= 7/8x+1

Answer

y= 8/7x+1

Answer

y= -7/8 +1

Answer

y= -8/7+1

Question 17

Which of the following could be a possible line of best fit for the data?

Accepted Answer

y = -5/2x + 20

Answer

y = -x + 19

Answer

y = x + 20

Answer

y = 2/3x + 15

Question 18

What is the equation of the line of best fit?

Accepted Answer

y = -25x + 170

Answer

y = -5/8x + 170

Answer

y = 25x + 170

Answer

y = 5/8x + 170

Question 19

The equation of the trend line is y= 1/2x +1
How many laps can a bicycle make around the park in 23 minutes?

Accepted Answer

44 laps

Answer

12 1/2 laps

Answer

23 laps

Question 20

The linear regression equation that best represents the line of best fit for the data is y=20.8x-35. Use the equation to predict the number of bacteria in 24 hours.

Accepted Answer

464

Answer

35

Answer

277

Answer

819

Question 21

The linear regression equation is y = 61.93x - 1.79.  Use the equation to predict how far this person will travel after 10 hours of driving.

Accepted Answer

617.5 miles

Answer

10 miles

Answer

0.19 miles

Answer

500 miles

Question 22

Select all the equations that represent exponential decay.

Accepted Answer

$$y=60\left(0.7\right)^x$$

Accepted Answer

$$y=3\left(0.6\right)^x$$

Answer

$$y=\frac{1}{2}\left(4\right)^x$$

Answer

$$y=80\left(1.4\right)^x$$

Question 23

This function represents the number of ants in a colony $$f\left(x\right)=3\ \left(\ 2\right)^x$$ How many ants did you begin with?

Accepted Answer

There was 3 ants

Answer

There was 2 ants

Answer

The equation doesn't tell us

Question 24

Give the rate of decay: *Hint: How far from 1*
y = 35(0.65)^x

Accepted Answer

35%

Answer

65%

Answer

165%

Question 25

Give the rate of growth: (how far over 1)
y = 5(1.27)^x

Accepted Answer

27%

Answer

127%

Answer

5

Question 26

f(x) = 30000(0.89)^x

What is the change in percent?

Accepted Answer

11% decrease

Answer

11% increase

Question 27

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(1 - 0.30)^x

Answer

y=30(5000)^x

Answer

y=5000(1 + 0.30)^x

Answer

y=5000xx

Question 28

The population of Townville is decreasing at a rate of 6% each year. If the starting population was 7,000 what equation represents the current population after x number of years?

Accepted Answer

$$f\left(x\right)=7000\left(0.94\right)^x$$

Answer

$$f\left(x\right)=7000\left(0.6\right)^x$$

Answer

$$f\left(x\right)=7000\left(0.4\right)^x$$

Answer

$$f\left(x\right)=7000\left(0.06\right)^x$$

Question 29

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?

Accepted Answer

.92

Answer

.08

Answer

1.08

Answer

8

Question 30

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 31

In an exponential function, what does the 'a' represent?

Accepted Answer

Y-INTERCEPT

Answer

SLOPE

Answer

RATE OF CHANGE

Answer

COMMON RATIO

Question 32

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

Accepted Answer

300

Answer

1.16

Answer

.16

Answer

x

Question 33

What is the equation of this graph?

Accepted Answer

f(x) = (x - 1)² - 5

Answer

f(x) = (x -5)² + 1

Answer

f(x) = (x + 1)² - 5

Answer

f(x) = (x + 5)² +1

Question 34

Find the slope

Accepted Answer

-5/3

Answer

-3/5

Answer

5/3

Answer

3/5

Question 35

Find the slope:

Accepted Answer

4/3

Answer

3/4

Answer

-3/4

Answer

-4/3

Question 36

What is the zero(s) for the graph shown?

Accepted Answer

-2

Answer

-2 and 4

Answer

4

Answer

2

Question 37

The graph of f is shown. What are its zeros?

Accepted Answer

-1 and 3

Answer

0 and 1.5

Answer

2

Answer

-3 and 1

Question 38

Which graph represents a function?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 39

Which graph best represents $$f\left(x\right)=2\left(5\right)^x$$ ?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 40

Which graph could match the equation below?

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

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 41

Which equation has a vertex of (4, 2)?

Accepted Answer

$$y=\left(x-4\right)^2+2$$

Answer

$$y=\left(x+2\right)^2-4$$

Answer

$$y=\left(x-2\right)^2+4$$

Answer

$$y=\left(x+4\right)^2-2$$

Question 42

Which equation is graphed above?

Accepted Answer

$$y=\left(x-4\right)^2+1$$

Answer

$$y=-\left(x-1\right)^2+4$$

Answer

$$y=\left(x-1\right)^2+4$$

Answer

$$y=-\left(x-4\right)^2+1$$

Question 43

Which equations matches the graph above?

Accepted Answer

$$h\left(x\right)=\ \left(x+1\right)^2-4$$

Answer

$$h\left(x\right)=-\left(x+1\right)^2-4$$

Answer

$$h\left(x\right)=\left(x+4\right)^2-1$$

Answer

$$h\left(x\right)=-\left(x+4\right)^2+1$$

Question 44

$$f\left(x\right)=-\left(x-4\right)^2+1$$

Choose the correct graph of the equation.

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 45

What is the vertex of the following equation? $$f\left(x\right)=-\frac{1}{2}\left(x-5\right)^2+6$$

Accepted Answer

$$\left(5,6\right)$$

Answer

$$\left(-5,-6\right)$$

Answer

$$\left(-5,6\right)$$

Answer

$$\left(5,-6\right)$$

Question 46

What is the green dashed line called?

Accepted Answer

axis of symmetry

Answer

roots or x-intercepts

Answer

parabola

Answer

y intercept

Question 47

Does this graph show a maximum or a minimum?

Accepted Answer

Maximum

Answer

Minimum

Question 48

Calculate the average rate of change from 20 to 40 minutes.

Accepted Answer

-2 gallons per minute

Answer

-2 minutes per gallon

Answer

-20 minutes per gallon

Answer

-20 gallons per minute

Question 49

Find the average rate of change over the given interval.

Accepted Answer

7/3

Answer

4

Answer

7

Answer

3/7

Question 50

A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change?

Accepted Answer

75

Answer

200

Answer

150

Answer

300

Question 51

What is the average rate of change from x=0 to x=1

Accepted Answer

3

Answer

-3

Answer

0

Answer

2

Question 52

Use the given function or the graph to find the average rate of change

Accepted Answer

-3

Answer

3

Answer

3/2

Answer

-1/3

Question 53

Use the given function or the graph to find the average rate of change

Accepted Answer

-5

Answer

5

Answer

-1/5

Answer

15

Question 54

What is Mrs. Gordon's rate from 0 to 2 seconds?

Accepted Answer

2.5 feet per second

Answer

.4 feet per second

Answer

5 feet per second

Answer

.2 feet per second

Question 55

Calculate the average rate of change from 20 to 40 minutes.

Accepted Answer

-2 gallons per minute

Answer

-2 minutes per gallon

Answer

-20 minutes per gallon

Answer

-20 gallons per minute

Question 56

Using the pictured graph, what is f(-3)?

Accepted Answer

-3

Answer

-1

Answer

1

Answer

3

Question 57

How many pieces is this Piecewise Function composed of?

Accepted Answer

4

Answer

1

Answer

2

Answer

3

Question 58

What is the value of f(0)?

Accepted Answer

4

Answer

-2

Answer

2

Answer

0

Question 59

Evaluate f(-5)

Accepted Answer

0

Answer

2

Answer

5

Answer

-4

Question 60

Find f(2)

Accepted Answer

f(2) = 1

Answer

f(2) = 0

Answer

f(2) = 3

Answer

f(2) = 4

Question 61

What is g(7) if:

Accepted Answer

17

Answer

-17

Answer

-13

Answer

13

Question 62

A house painter charges $12 per hour for the first 40 hours he works, $18 for the ten hours after that, and $24 for all hours after that.

How much does he earn for a 70 hour week?

Accepted Answer

$1140

Answer

$1020

Answer

$840

Answer

He works for free!

Question 63

Evaluate f(-3)=

Accepted Answer

-7

Answer

-1

Answer

4

Answer

5

Question 64

Evaluate f(3)=

Accepted Answer

4

Answer

-1

Answer

-7

Answer

5

Final Exam Review (Algebra 2)

130 questions

A restaurant sells pizza for the prices in the data table. Calculate the linear regression equation of the data.

Find the quadratic regression equation for the relationship of the horizontal distance and the height of the ball in the provided table.

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