Free Printable ALG 1: Unit 5 Post Test Quizizz Review

1.

A sequence is defined recursively by the function below.

$a_1=8$

$a_n=\frac{1}{2}a_{n-1}$

What are the $a_3$ and $a_8$ terms of the sequence?

$a_3=$ (a) $a_8=$ (b)

Choose from the below words

2

0.0625

4

1

0.5

0.25

0.125

2.

What is the End behavior on the right side

a)

x→∞, y→∞

b)

x→⁻∞, y→∞

c)

x→⁻∞, y→0

d)

x→∞, y→⁻∞

3.

What is the End behavior on the left side

a)

x→∞, y→∞

b)

x→⁻∞, y→∞

c)

x→⁻∞, y→0

d)

x→∞, y→⁻∞

4.

What is the end behavior of the function

a)

x →∞, y→⁻∞ and x →⁻∞,y→⁻∞

b)

x →∞, y→∞ and x→⁻∞, y→∞

c)

x →∞, y→∞ and x→⁻∞, y→2

d)

x →∞,y→2 and x→⁻∞, y→∞

5.

Which one means the function goes up on the left

a)

x →-∞, y→∞

b)

x →-∞, y→-∞

6.

Which one means the function goes down on the left

a)

x →-∞, y→∞

b)

x →-∞, y→-∞

7.

Which one means up

a)

y →-∞

b)

y →∞

8.

Which one means left

a)

x →-∞

b)

x →∞

9.

What does y tell us

a)

Left and right

b)

Up and down

10.

What does x tell us

a)

Left and right

b)

Up and down

11.

What is the asymptote of y = 2^x - 3

a)

y = 0

b)

y = -3

c)

x = 0

d)

x = -3

12.

How can you tell if

y = A * B^x

^{is a growth model?}

a)

B > 1

b)

B < 1

c)

B = 1

d)

A < 1

13.

Which of the following is an exponential decay model?

a)

y = 3 * (1/2)^x

b)

y = 1/2 * (3)^x

c)

y = -2 * (2)^x

d)

y = -3 * (3/2)^x

14.

Which of the following graphs is NOT an exponential function?

a)

b)

c)

d)

15.

Consider the graph of $f\left(x\right)=\left(\frac{5}{4}\right)^x-6$ shown below. Use the drop-down menus to choose the responses that make each statement true.

The graph represents (a) because the y-values (b) as the x-values increase.

The y-intercept of the graph is (c)

Choose from the below words

exponential growth

increase

-5

exponential decay

decrease

-6

0

8

stays the same

16.

A school district currently has 12,000 students. Based on declining enrollment figures, the number of students in the school district is expected to decline by 5% each year. Which of the following functions represents the number of students, S, in the school district after n years?

a)

$S\left(n\right)=12,000\left(-5\right)^n$

b)

$S\left(n\right)=12,000\left(0.95\right)^n$

c)

$S\left(n\right)=12,000\left(1.05\right)^n$

d)

$S\left(n\right)=12,000\left(-0.05\right)^n$

17.

Which equation below shows $f\left(x\right)=3^x$ stretched by a factor of 2 and shifted down 8 units?

a)

$f\left(x\right)=\frac{1}{2}\left(3\right)^x-8$

b)

$f\left(x\right)=\frac{1}{2}\left(3\right)^x+8$

c)

$f\left(x\right)=2\left(3\right)^x-8$

d)

$f\left(x\right)=2\left(3\right)^x+8$

18.

Consider this pattern.

Which RECURSIVE FORMULA represents the sequence that represents the pattern

a)

$a_n=4a_{n-1};\ a_1=1$

b)

$a_n=4a_{n-1};\ a_1=0$

c)

$a_n=4+a_{n-1};\ a_1=1$

d)

$a_n=4+a_{n-1};\ a_1=0$

19.

Let f be a quadratic function defined by $f\left(x\right)=2+x^2$ and let g be an exponential function defined by $g\left(x\right)=2^x$ Complete the table to show that the value of the exponential function g will eventually exceed the value of the quadratic function f as x increases.

x = 0; f(x) = 2; g(x) = 1

x = 1; f(x) = (a) ; g(x) = (b)

x = 2; f(x) = (c) ; g(x) = (d)

x = 3; f(x) = (e) ; g(x) = 8

Choose from the below words

3

2

6

4

11

20.

The value of a computer is decreasing exponentially over time. Its value was $1,600 when it was purchased. One year later, its value decreased to $1,400. Let t = time in years since the computer was purchased, and let V(t) = the computer’s value in dollars.

Write an exponential function of the form $V\left(t\right)=a\left(b\right)^t$ to describe this relationship.

a)

$V\left(t\right)=1600\left(0.875\right)^t$

b)

$V\left(t\right)=1400\left(0.875\right)^t$

c)

$V\left(t\right)=1400\left(1600\right)^t$

d)

$V\left(t\right)=1600\left(1400\right)^t$

e)

$V\left(t\right)=1600\left(200\right)^t$

21.

Tracy buys a car for $26,000. The value of the car is expected to decrease by 17% each year.

Write a function, f(y), that can be used to determine, the value of Tracy's car after, y, years.

a)

$f\left(y\right)=26,000\left(17\right)^y$

b)

$f\left(y\right)=26,000\left(1.17\right)^y$

c)

$f\left(y\right)=26,000\left(0.83\right)^y$

d)

$f\left(y\right)=26,000\left(0.17\right)^y$

e)

$f\left(y\right)=26,000\left(83\right)^y$

22.

What is the explicit formula for the sequence below?

4, –12, 36, –108,...

a)

$t\left(n\right)=4\left(-3\right)^n$

b)

$t\left(n\right)=\left(-3\right)^{n-1}$

c)

$t\left(n\right)=4\left(3\right)^{n-1}$

d)

$t\left(n\right)=4\left(-3\right)^{n-1}$

23.

The function f(x) is graphed below. Which graph shows $f\left(x\right)+2$ ?

a)

b)

c)

d)

24.

The graph of the exponential function is shown below. Which dashed line is an asymptote for the graph?

a)

Line q

b)

Line r

c)

Line s

d)

Line t

25.

What is the y-intercept of the following exponential function?

$f\left(x\right)=4^x-5$

a)

(0. 4)

b)

(0, -4)

c)

(4, 0)

d)

(-4, 0)

26.

This is an example of:

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

27.

This is an example of:

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

28.

This is an example of:

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

29.

This is an example of:

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

30.

This is an example of: $f\left(x\right)=\ 25\ \left(\ 0.20\right)^x$

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

31.

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

a)

Because the 25 was bigger than one

b)

Because the 0.20 was bigger than one

c)

Because the 25 was less than one

d)

Because the 0.20 was less than one

32.

This is an example of: $f\left(x\right)=\ 0.25\ \left(\ 1.3\right)^x$

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

33.

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

a)

Because the 0.25 was bigger than one

b)

Because the 1.3 was bigger than one

c)

Because the 0.25 was less than one

d)

Because the 1.3 was less than one

34.

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

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

35.

How do you know that this was exponential decay? $f\left(x\right)=90\ \left(\ \frac{1}{2}\right)^x$

a)

Because the 90 was bigger than one

b)

Because the 1/2 was bigger than one

c)

Because the 90 was less than one

d)

Because the 1/2 was less than one

36.

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

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

37.

How do you know that this was exponential growth? $f\left(x\right)=3\ \left(\ \frac{5}{2}\right)^x$

a)

Because the 3 was bigger than one

b)

Because the 5/2 was bigger than one

c)

Because the 3 was less than one

d)

Because the 5/2 was less than one

38.

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?

a)

There was 2 ants

b)

There was 3 ants

c)

The equation doesn't tell us

39.

This function represents the number of ants in a colony $f\left(x\right)=3\ \left(\ 2\right)^x$ What is the growth rate?

a)

The ants are growing by 3 times

b)

The ants are growing by 2 times

c)

The equation doesn't tell us

40.

How do we know that is an example of an exponential growth?

a)

Its a line going up

b)

Its a line going down

c)

Its a smooth curve going down

d)

Its a smooth curve going up

41.

How do we know that is an example of an exponential decay?

a)

Its a line going up

b)

Its a line going down

c)

Its a smooth curve going down

d)

Its a smooth curve going up

42.

How do we know that is an example of an linear decay?

a)

Its a line going up

b)

Its a line going down

c)

Its a smooth curve going down

d)

Its a smooth curve going up

43.

How do we know that is an example of an linear growth?

a)

Its a line going up

b)

Its a line going down

c)

Its a smooth curve going down

d)

Its a smooth curve going up

44.

If the decay rate is 20%, which of the following represent the decay factor?

a)

0.2

b)

0.8

c)

1.2

d)

1.8

45.

If the growth rate is 80%, what is the growth factor?

a)

0.2

b)

0.8

c)

1.2

d)

1.8

46.

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?

a)

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

b)

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

c)

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

d)

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

47.

The value of a car depreciates exponentially. Identify the decay factor is the car was worth $20,000 initially and worth $15,000 after 1 year.

a)

1.33

b)

0.75

c)

0.66

d)

0.25

48.

Select all the equations that represent exponential decay.

a)

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

b)

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

c)

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

d)

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

e)

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

49.

Penicillin decays exponentially in the human body. Suppose you receive a 300-milligram dose of penicillin to combat strep throat. About 180 milligrams will remain active in your body after 1 day. Which equation represents the amount of penicillin remaining in your body?

a)

$y=300\left(0.6\right)^x$

b)

$y=300\left(1.6\right)^x$

c)

$y=300\left(1.67\right)^x$

d)

$y=300\left(0.4\right)^x$

50.

Penicillin decays exponentially in the human body. Suppose you receive a 300-milligram dose of penicillin to combat strep throat. About 180 milligrams will remain active in your body after 1 day. How much penicillin remains after 7 days?

a)

0.5 milligrams

b)

8.4 milligrams

c)

5 milligrams

d)

120 milligrams

51.

Find the decay factor from the given graph.

a)

$3$

b)

$1$

c)

$\frac{1}{3}$

d)

$\frac{1}{9}$

52.

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

a)

$630

b)

$729.30

c)

$765.77

d)

$4556.25

53.

Which equation represents the given table?

a)

$y=15\left(1.8\right)^x$

b)

$y=15\left(0.8\right)^x$

c)

$y=15\left(1.2\right)^x$

d)

$y=15\left(0.2\right)^x$

e)

$y=-3x+15$

54.

Caiden earned $475 from mowing lawns last summer.He deposited this money in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 15 years?

a)

$827.52 (Mr. Williams)

b)

$831.10 (Mrs. Hoch)

c)

$839.45 (Mr. Krajunus)

d)

$846.80 (Ms. Palombo)

55.

Emily’s parents put $1,500 in her bank account for college tuition. At an interest rate of 8.25% compounded semiannually,what will be the balance after 18 years?

a)

$6,273.50 frustrated

b)

$6,314.08 bewildered

c)

$6,385.72 pleased

d)

$6,427.94 tickled pink

56.

Mark took a loan out for $25,690 to purchase a truck. At an interest rate of 5.2% compounded monthly, how much total will he have paid after 5 years?

a)

$33,299.42 playing dodgeball

b)

$33,672.68 climbing trees

c)

$34,157.04 riding unicycles

d)

$34,710.88 flipping pancakes

57.

Olivia would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% interest compounded quarterly. If she spent $7,400, how much total will she have paid after 8 years?

a)

$15,415.94 LeBron James

b)

$15,683.28 Chase Utley

c)

$15,927.56 Serena Williams

d)

$16,349.72 Tom Brady

58.

The Henley's took out a loan for $195,000 to purchase a home. At a 4.3% interest rate compounded annually,how much interest will they have paid after 30 years?

a)

$412,749.79 Labor Day

b)

$429,305.61 the 4th of July

c)

$471,259.24 Groundhog Day

d)

$494,546.99 Valentine’s Day

59.

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 interest will she earn in 10 years?

a)

$915.59 Rome

b)

$933.28 Sydney

c)

$979.81 Dublin

d)

$1,005.09 Paris

60.

Riley invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually,how much interest will Riley earn in 15 years?

a)

$1,584.62 the train station

b)

$1,651.39 the movie theater

c)

$1,706.86 the art museum

d)

$1,893.45 the bakery

61.

Town Bank offers a 2.25% interest rate, while Charter One offers 2.8%. Both banks compound interest annually. If Rob wants to set up a new account with $5,000,how much more money will he earn at Charter One over Town Bank after 25 years?

a)

$1,183.41 fairy wings

b)

$1,209.79 space suits

c)

$1,251.63 bubble wrap

d)

$1,324.10 hula skirts

62.

Twelve years ago, Claire put $1,800 in an account that pays an interest rate of 2.5% compounded semiannually.She now plans to take the money in that account and invest it in another account that earns 4% interest compounded monthly. How much money will be in this new account after 7 years?

a)

$3,207.40 eating ice cream

b)

$3,348.96 chewing gum

c)

$3,574.15 telling math jokes

d)

$3,733.62 tap dancing

63.

Shawn is buying a new Jet Ski for $12,500. He is considering two credit options. Option A offers a 6 year loan with 8.5% interest compounded quarterly, while Option B offers a 5 year loan with 10% interest compounded annually. Which is the better option and how much will he save?

a)

B; $573.83 do something crazy

b)

B; $495.21 get on the news

c)

A; $573.83 get attention

d)

A; $495.21 raise money for charity

ALG 1: Unit 5 Post Test Quizizz Review

Total questions: 63

Worksheet time: 2hrs 24mins

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