Free Printable Final Exam Review

1.

Is this table linear, quadratic, exponential, or none of the above?

a)

linear

b)

quadratic

c)

exponential

d)

none of the above

2.

Find the change in the rate of change for the quadratic relationship.

a)

13

b)

11

c)

2

d)

-2

3.

Identify the following function.

a)

Linear

b)

Exponential

c)

Quadratic

d)

Neither

4.

The exponential function g, represented in the table, can be written as $g\left(x\right)=a\cdot b^x.$ Which of the following is the correct equation for $g\left(x\right)?$

a)

$g\left(x\right)=12\left(2\right)^x$

b)

$g\left(x\right)=12\left(6\right)^x$

c)

$g\left(x\right)=12\left(\frac{1}{2}\right)^x$

d)

$g\left(x\right)=12\left(\frac{1}{6}\right)^x$

5.

Identify the following function.

a)

Linear

b)

Exponential

c)

Quadratic

d)

Neither

6.

The profit $P\left(x\right)$ that a company makes selling an item (in thousands of dollars) depends on the price x of the item in dollars. If x is the price of the item, then the profit can be represented by $P\left(x\right)=-0.5x^2+206x-3200$ . Find the maximum profit.

a)

18 thousand

b)

9 thousand

c)

6 thousand

d)

3 thousand

7.

Michael has two choices of investments for the $1,000 he received for his birthday. The first investment pays 4% simple interest annually. The second investment pays 3% interest compounded monthly. How many years after Michael makes his initial deposit will the two investments yield the same amount of money?

a)

Never; the investment that pays $40 annual simple interest will always be the better investment.

b)

Never; the investment that pays $40 annual simple interest will never be as good as the other investment.

c)

In a little over 18 years.

d)

Fifty years later.

8.

What is the Vertex of the graph?

a)

(-4, -4)

b)

(0, 0)

c)

(-8, 0)

d)

(-2, -3)

9.

Suppose that you invest $2,000 at 3% interest compounded monthly. How much money will be in your account in 4 years?

a)

$2,020.08

b)

$2,251.02

c)

$2,254.66

d)

$2,632.25

10.

Find the slope from the table.

a)

1/4

b)

-1/4

c)

-4

d)

4

11.

Mark makes birdhouses and sells them for $12 each. Write an equation for the revenue function. R(x) = _____________

a)

12x

b)

12 + x

c)

12x + 5

d)

Not enough information given

12.

Mark makes birdhouses and sells them for $12 each. The cost function is $C\left(x\right)=2x+80,$ how many birdhouses does Mark need to sell to break even?

a)

92

b)

8

c)

4

d)

40

13.

What function best models the data in the table?

a)

linear

b)

exponential

c)

quadratic

14.

Kelly makes and sells quilted blankets out of her home. She charges $50 per blanket. For each blanket she makes, she must spend $1 on thread, $2 in electricity and $12 on cloth. This month she made and sold 15 blankets. What is Kelly's total REVENUE?

a)

$25

b)

$225

c)

$375

d)

$750

15.

Kelly makes and sells quilted blankets out of her home. She charges $50 per blanket. For each blanket she makes, she must spend $1 on thread, $2 in electricity and $12 on cloth. This month she made and sold 15 blankets. What is Kelly's total COST?

a)

$25

b)

$225

c)

$375

d)

$750

16.

Kelly makes and sells quilted blankets out of her home. She charges $50 per blanket. For each blanket she makes, she must spend $1 on thread, $2 in electricity and $12 on cloth. This month she made and sold 15 blankets. What is Kelly's total PROFIT?

a)

$25

b)

$225

c)

$525

d)

$750

17.

When a business has made enough money to pay its costs and begin to make a profit, it has reached its

a)

break-even point

b)

variable-cost margin

c)

fixed cost

d)

selling price

18.

The function $h\left(x\right)$ where $h\left(x\right)=-0.5x^2+3x+22,$ is height in feet, models the height of an “angry bird” shot into the sky as a function of time (seconds). Use GeoGebra to find the vertex, roots and y-intercepts of $h\left(x\right)$ . Round all values to one decimal place (tenths). Which of the following is the correct interpretation of the vertex?

a)

When the input is 3, the output is 26.5

b)

At 3 seconds, the bird will be at its maximum height.

c)

At 3 seconds, the bird will be 26.5 feet above the ground.

d)

All of these.

19.

The function $h\left(x\right)=-0.5x^2+3x+22,$ where $h\left(x\right)$ is height in feet, models the height of an “angry bird” shot into the sky as a function of time (seconds). Use GeoGebra to find the vertex, roots and y-intercepts of $h\left(x\right)$ . Round all values to one decimal place (tenths). Which of these is a correct interpretation of the root(s)?

a)

The bird will hit the ground twice.

b)

The bird will land after flying 10.3 feet.

c)

The bird will die from impact.

d)

None of these.

20.

A bacteria culture is started with 300 bacteria. After 4 hours, the population has grown to 500 bacteria. If the population grows exponentially at the same rate, how many bacteria will there be in 1 day? Choose the closest answer.

a)

1,500 bacteria

b)

6,964 bacteria

c)

8,782 bacteria

d)

10,448 bacteria

21.

What function model best represents the data in the table?

a)

linear

b)

exponential

c)

quadratic

22.

Kate makes $45,000 and gets a raise of $500 each year. Since her salary depends on the year, let time t represent the year, with t = 0 being the present year. Let salary S, in dollars, be a dependent variable. Find an equation to represent her salary growth over her career.

a)

$t=500S+45000$

b)

$t=500+45000S$

c)

$S=500t+45000$

d)

$S=500+45000t$

23.

Kennedy won $3,000 from a radio contest. If she puts this money in a bank account that earns 2.9% interest compounded quarterly, how much total will she earn in 10 years?

a)

$4915.59

b)

$3933.28

c)

$2979.81

d)

$4005.09

24.

Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?

a)

(-3,-8)

b)

(-8,-3)

c)

(3,-8)

d)

(8,3)

25.

The population of Landon is growing exponentially, increasing 70% each decade (10 years). If the current population is 5,000 people, after how many years will the population of Landon double? Do not assume continuous growth. (Hint: you will need to convert the answer you get in decades to number of years)

a)

13.1 years

b)

14.3 years

c)

14.5 years

d)

24.3 years

26.

This is a _______________ function.

a)

Linear

b)

Exponential

c)

Quadratic

27.

A pattern is modeled by the equation $f\left(x\right)=3\left(1.28\right)^{x\ }$ . Which of the statements is true?

a)

Each term in the pattern is 128% larger than the one before it.

b)

Each term in the pattern is 0.28% larger than the one before it.

c)

Each term in the pattern is 3 times larger than the one before it.

d)

Each term in the patter is 28% larger than the one before it.

28.

The equation y = -2x + 7 models the amount of gas remaining in a lawnmower after x hours of use since it was filled. What is the meaning of the slope?

a)

For each hour of mowing, the mower is predicted to use 2 gallons.

b)

the predicted amount of gas the lawnmower can hold is 2 gallons

c)

For every two hours of mowing, the mower is predicted to use 7 gallons.

d)

The predicted amount of gas remaining after 1 hour is 2 gallons.

29.

The number of Starbucks stores grew after first opened. The number of stores from 1990-2007, as reported on their corporate website, is shown in the table. Plot the data in GeoGebra and determine the best model for the data. Then use the model to predict the number of Starbucks stores in 2007.

a)

9,116

b)

3,533

c)

82,968

d)

98,812

e)

138,442,957

30.

The height of an object thrown into the air can be modeled by the formula h(t) = -16t² + 70t + 95, where h(t) is in feet after t seconds.
What is the height of the object after 5 seconds?

a)

95 feet

b)

45 feet

c)

70 feet

d)

171.56 feet

31.

The amusement park charges $20 to get in plus $1.50 per ride. Which linear equation below represents this relationship.

a)

y=1.5+20x

b)

y=1.5x + 20

c)

y = 20x + 1.5

d)

y= 21.5x

32.

The total cost (y) at an amusement park can be modeled by $y=1.5x+20$ where x is the number of rides you ride. What is the price per ride?

a)

1.5

b)

21.5

c)

0

d)

20

33.

The total cost (y) at an amusement park can be modeled by $y=1.5x+20$ where x is the number of rides you ride. What is the entrance fee?

a)

1.5

b)

200

c)

0

d)

20

34.

You drink a beverage with 120 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%. How long until you have 10mg of caffeine?

a)

19 to 20 hours

b)

10 to 20 hours

c)

15 to 16 hours

d)

5 to 6 hours

35.

Every day Jaxson takes 20 mg of a drug that helps with his allergies. His doctor tells him that each hour the amount of drug in his blood stream decreases by 15%. How much of the drug remains in Jaxson’s bloodstream one day after taking the medication?

a)

3.6 mg

b)

0.1 mg

c)

0.83 mg

d)

0.55 mg

36.

A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
h = -16t² + 64t + 960.
How many seconds did it take for the ball to reach its maximum height?

a)

10 seconds

b)

64 seconds

c)

960 seconds

d)

2 seconds

37.

A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
h = -16t² + 64t + 960.
What is the maximum height?

a)

960 feet

b)

1008 feet

c)

1024 feet

d)

1152 feet

38.

Ash has $8,000 in a savings account. The interest rate is 3% compounded once a year.

To the nearest cent, how much will he have in his account in 4 years?

a)

$9,004.07

b)

$2,2848.80

c)

$9,011.94

d)

$8,242.71

39.

A sailboat that costs $5,950 decreases in value by 11% per year. How much will the boat be worth after 6 years?

a)

$5,884.00

b)

$5,178.97

c)

$2,992.96

d)

$2,957.04

40.

The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)^twhere t is the number of years since 1990. What was the population in 1990?

a)

0 people

b)

It doesn't say

c)

I don't know

d)

6191

41.

The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)^t where t is the number of years since 1990. What percent did the population increase each year?

a)

4%

b)

It doesn't say

c)

I don't know

d)

400%

42.

Is this exponential growth or decay?
y = 7(1.2)^x

a)

Growth, because of 7

b)

Decay, because of 1.2

c)

Growth because of 1.2

d)

Decay because of 7

43.

You invest $1600 at an annual interest rate of 4.6% compounded continuously. How much will you have in the account after 4 years.

a)

$800.26

b)

$6,701.28

c)

$10,138.07

d)

$1,923.23

44.

Members of the math club launch a model rocket from ground level with an initial velocity of 96 ft/sec. This can be modeled with the function h(t) = -16t² + 96t. When does the rocket hit the ground?

a)

7 seconds

b)

6 seconds

c)

3 seconds

d)

8 seconds

45.

What does the n stand for in this formula?

a)

Initial amount

b)

Final amount

c)

Rate

d)

Time

e)

The number of times compounded per year

46.

Data was collected on the weight of a male laboratory rat for the first 25 weeks after its birth. The linear regression equation is
y= 40x+100, where x is number of weeks and y is weight in grams.
What does the y-intercept mean in context of the problem?

a)

The predicted weight of the rat in year 0.

b)

The predicted weight of the rat at birth.

c)

The current weight of the rat.

d)

The average increase in the rat's weight.

47.

Gina deposited $800 in an account that earns 6% compounded annually. Mary deposited

$800 in an account that earns 6% simple interest. How much will each girl have

in their account at the end of 10 years if they make no withdrawals or deposits?

a)

Gina: $1432.68 Mary $1280

b)

Gina: $1444.89 Mary: $1280

c)

Gina: $1444.89 Mary: $1320

d)

Gina: $1432.68 Mary: $1320

48.

A regression was completed to determine whether there is a relationship between hours of TV watched per day (x) and the number of sit-ups a person can do (y). The results of the regression are below. Which statement is true in this situation? $f\left(x\right)=-1.341x+32.234$

a)

For every hour of TV watched, people can do 32.234 fewer sit-ups on average.

b)

For every 1 hour of TV watched, people can do 1.34 fewer sit-ups on average.

c)

The average person can complete 32 sit-ups in an hour.

d)

Watching TV makes abdominal muscles stronger. Everyone knows that!

49.

A regression was completed to determine whether there is a relationship between hours of TV watched per day (x) and the number of sit-ups a person can do (y). The results of the regression are below. What is the correct interpretation of 32.234? $f\left(x\right)=-1.341x+32.234$

a)

Someone that watched 1.341 hours of TV can complete 32.234 sit-ups.

b)

This represents the intersection of the linear regression line and the y-axis.

c)

When a person watches zero hours of TV per day they can complete 32.234 sit-ups.

d)

Both: It represents the intersection and they can complete 32.234 sit-ups when watching zero hours of TV.

50.

Karla invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually.

Which exponential equation can be used to find how much money Karla will earn in 15 years?

a)

b)

c)

d)

51.

Mark makes birdhouses and sells them for $12 each. His cost function is C(x) = 2x + 80. What is the revenue for selling 10 birdhouses?

a)

$120

b)

$220

c)

$225

d)

$100

52.

Mark makes birdhouses and sells them for $12 each. His cost function is C(x) = 2x + 80. What is Mark's profit if he sells 25 birdhouses?

a)

$150

b)

$125

c)

$120

d)

$170

53.

A pattern is modeled by the equation $y=12\left(0.36\right)^x$ . Which of the following statements is true?

a)

Each term in the pattern is 36% smaller than the one before.

b)

Each term in the pattern is 35% larger than the one before.

c)

Each term in the pattern is 64% smaller than the one before.

d)

Each term in the pattern is 12 more than the one before.

54.

Which cooling equation represents the following scenario: The cook for a cowboy crew removes stew from the fire. The stew is 195 degrees Fahrenheit. Three minutes later, the stew has cooled to 180 degrees. The temperature outside is 65 degrees. Let t be the time in minutes since the stew was removed from the fire. Let T be the temperature of the stew in degrees Fahrenheit.

a)

$T=195e^{-0.03t}+65$

b)

$T=130e^{-0.04t}+65$

c)

$T=130e^{-0.03t}+65$

d)

$T=195e^{-0.04t}+65$

55.

There are currently 612 armadillos in McKinney. The armadillo population is increasing exponentially at a rate of 8.4% monthly. How many months will it be until the armadillo population in McKinney is 1000?

Round to 3 decimal places.

Window [0,12,2] by [0,1200,200]

(a) Months

Enter number only.

56.

A particular type of cell doubles in number every hour. which function can be used to predict the number of cells present at the end of h hours if there are initially 4.

a)

a

b)

b

c)

c

d)

d

57.

Suppose the population of a species of insects doubles every year. There are 1600 insects initially. The function for the scenario would be?

a)

$f\left(x\right)=2x+1600$

b)

$f\left(x\right)=1600\times2$

c)

$f\left(x\right)=1600\cdot2^x$

58.

The following function represents a bank account.
g(x) = 200(1.25)^x
What is the rate the bank is paying?
*Remember the rate is added or subtracted to 1 inside parenthesis*

a)

200%

b)

1.25%

c)

25%

d)

2%

59.

What is the slope?

a)

2

b)

-2

c)

6

d)

0

60.

What is the y-intercept?

a)

(0, 7)

b)

(-1, 4)

c)

(0, 3)

d)

(0, 4)

Final Exam Review

Total questions: 60

Worksheet time: 4hrs 30mins

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