Free Printable Alg Unit 5B Review - Interest, Sequences & Comparing Functions

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Alg Unit 5B Review - Interest, Sequences & Comparing Functions

Total questions: 60

Worksheet time: 4hrs 10mins

Name

Class

Date

Put these functions in order from least to greatest based on their Y-INTERCEPT. (a)

Choose from the below words

B C A

B A C

C A B

C B A

Which statement below is TRUE regarding the two functions?

Both functions are linear

Both functions are increasing

Both functions have a y-intercept of 1

Both functions are exponential growth

Is the equation linear, exponential, or quadratic?

$y=2x+4$ (a)

Choose from the below words

Exponential

Quadratic

None of the above

Linear

Is the graph linear, exponential or neither? (a)

Choose from the below words

Linear

Exponential

Neither

Is the graph linear, exponential or neither? (a)

Choose from the below words

Linear

Exponential

Neither

Is the table linear, exponential or neither? (a)

Choose from the below words

Linear

Exponential

Neither

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

Choose from the below words

linear

quadratic

exponential

none of the above

Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation for the total cost of x pounds of fruit from the orchard. (a)

Choose from the below words

y = 3x + 2.5

y = 2.50x + 3

y = 2.50x

y = 3x + 2.50

What type of function is $f(x)=2(x+4)2-7$ ?

exponential decay

linear

exponential growth

quadratic

10.

What type of function best models the situation: A zombie virus has infected the population and the number of infected people triples every day.

linear

quadratic

exponential growth

exponential decay

11.

Which function is linear?

f(x)

h(x)

g(x)

12.

What type of function best models the situation: A bank account balance earning an annual interest rate.

Linear

Quadratic

Exponential

13.

Which function best models the amount of money you earn when you get paid an hourly wage? (a)

Choose from the below words

Linear

Quadratic

Exponential

14.

Which function best models the height and speed of throwing a ball in the air?

Linear

Quadratic

Exponential

15.

Which situation is linear?

A sample of bacteria doubles every hour

The number of cars each hour on the road for a week

The cost of a movie ticket increases by 5% every year

The population of a town is increasing by ten people every year

16.

What type of function best models the situation: A zombie virus has infected the population and the number of infected people triples every day. (a)

Choose from the below words

Exponential growth

Linear

Quadratic

Exponential Decay

17.

Which statement below is TRUE regarding the functions pictured?

Both functions have a y-intercept of 3

Both functions are increasing

Both functions are linear

Both functions have a MULTIPLYING pattern

18.

How would you describe the rate of change of these functions?

Both functions have constant rate of change because they are exponential.

Both functions have a variable rate of change because they are both exponential.

A has a constant rate of change because it is linear and B has a variable rate of change because it's exponential

A has a constant rate of change because it is quadratic and B has a variable rate of change because it's exponential

19.

Which function is exponential?

20.

What type of function describes the story below?You have $5 and triple your money every day. (a)

Choose from the below words

Linear

Quadratic

Exponential

21.

Which function would best represent each ink cartridge purchased for a printer costs $12.

Linear

Quadratic

Exponential

22.

Give the domain and range. Tell if it is a function.

D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Function

D: {-4, -2, 0, 2}
R: {-2, 1}
Function

D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Not a Function

D: {-4, -2, 0, 2}
R: {-2, 1}
Not a Function

23.

Which model is appropriate given the points (-3, 8), (-1, 6), (0, 5), (2, 3), (3, 2)? Why?

Exponential because it curves.

Linear because it has a constant slope.

Quadratic because it has a minimum.

Infinite because it keeps going.

24.

Choose all the equations that are exponential:

y = 6x -5

y = 8^x - 9

f(x) = 3x² + 4

y = 1/3^x

y = 7x³

25.

Write the function that best models the table? (a)

Choose from the below words

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

$y=\frac{1}{4}x$

$y=4x$

$y=4^x$

26.

Three functions are shown in the table. Which of the functions is exponential?

f(x)

g(x)

h(x)

None of the functions are exponential as they do not grow by equal factors over equal intervals.

27.

Three functions are shown in the table. What is the average rate of change for the function h(x) over the interval $2\le x\le4$ ?

-6

-12

28.

Lauren keeps records of the distances she travels in an Uber and what she pays.

Lauren said a linear function can represent the data that she collected (in the table). If Lauren uses the function y = mx+b what is the value of m? Explain what this value stands for in context of the problem.

1.50; the amount the total cost increases for each mile driven

2.25; the amount the total cost increases for each mile driven

1.50; the cost with no miles driven

2.25; the cost with no miles driven

29.

Which function will translate $f\left(x\right)=x^2$ left 5 units and down 1 unit?

$f\left(x\right)=\left(x-1\right)^2-5$

$f\left(x\right)=\left(x-5\right)^2-1$

$f\left(x\right)=\left(x-5\right)^2+1$

$f\left(x\right)=\left(x+5\right)^2-1$

30.

Two websites launched on the same day. At the end of the first week, the number of visitors to each website was 25. After that, the number of visitors to each website increased at different rates.

Website A: The number of visitor doubled each week

Website B: The number of visitors increased by 150 each week.

A table has been started for you. Finish it if needed to answer the question below.

Jose claims that the number of visitors to both websites can be modeled as a linear function. Is he correct?

Jose is correct, both functions are linear because the number of visitors in both cases have constant differences.

Jose is incorrect, only Website A has a number of visitors with equal differences.

Jose is incorrect, only Website B has a number of visitors with equal differences.

Jose is correct because the number of visitors in both cases have constant factors.

31.

David invests $10,000 in a savings account that pays 3.5% simple interest. If David

makes no withdrawals or deposits to the account, how much will be in the

account after 7 years.

$2,450

$11,750

$12,450

Not here

32.

Garrison deposited $500 in an account that earns 5% annual interest compounded annually. If he makes no withdrawals or deposits, how much interest will the account earn after 4 years?

$600

$100

$607.75

$107.75

33.

Audrey deposited $2,800 in a

savings account that pays 2.65% interest compounded annually. What is the total

value of the account after 7 years?

$562.57

$3362.57

$14,514.15

$2,569,680

34.

The compound interest formula is:

A = P(1 + r)^t

What does the A represent?

The amount of interest earned.

The amount of time that has passed.

The total amount of money after a certain amount of time.

The amount required to invest.

35.

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?

$33,299.42 playing dodgeball

$33,672.68 climbing trees

$34,157.04 riding unicycles

$34,710.88 flipping pancakes

36.

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?

$6,273.50 frustrated

$6,314.08 bewildered

$6,385.72 pleased

$6,427.94 tickled pink

37.

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 year?

$827.52

$831.10

$839.45

$846.80

38.

Ivan deposits $5,000 into an account that pays simple interest at a rate of 5% per year. How much interest will he be paid in the first 3 years?

What is the principle? (a)

What is the rate? (b)

What is the time? (c)

Choose from the below words

$5,000

3 years

39.

When interest compounds semi-annually that means it compounds ___ times a year?

40.

A bank is offering an interest rate of 6.75%.

Choose the decimal that you would use to calculate the balance in the account at a later time.

67.5

.675

675

.0675

41.

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

$412,749.79

$529.305.61

$689,546.99

$640,891.53

42.

Courtney saved up $2,200 working as a waitress over the summer. She put this money into a bank account that earned 5.2% interest and is compounded daily. How much will she have in her account at the end of 4 years?

$2201.25

$2694.55

$2707.45

$2708.63

43.

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?

B; $573.83

B; $495.21

A; $573.83

A; $495.21

44.

When dealing with money and finance, the term (a) is defined as a charge for borrowed money generally a percentage of the amount borrowed.

Choose from the below words

interest

time

principal

annual percentage rate (APR)

45.

(a) is the amount of money loaned or invested.

Choose from the below words

Principal

Interest

Rate

Future value

46.

(a) is the total amount that is paid back when a loan is fully paid off.

Choose from the below words

Paid amount

Payoff amount

Interest

Future value

47.

(a) is a portion of the selling price that is paid toward buying an item, like an automobile or a house.

Choose from the below words

Down payment

Installment

Interest rate

Payoff amount

48.

$I=P\times r\times t$

Simple Interest Formula

Compound Interest Formula

49.

Label each value in the Compound Interest Formula

Amount

Principal

c)Rate(as a

Number of Times per Year

Time in Years

50.

$Function\ B:\ y=\frac{3}{4}x\ +6$

Which statement about the properties of Function A and Function B are true?

The y-intercept of Function A is equal to the y-intercept of Function B.

The y-intercept of Function A is greater than the y-intercept of Function B.

The y-intercept of Function A is less than the y-intercept of Function B.

51.

Given the formula for a geometric sequence, $a_1$ stands for $a_n=a_1r^{n-1}$

common difference

wanted term

common ratio

first term

52.

$a_n=a_1r^{n-1}$

Given the formula for a geometric sequence , r stands for

common difference

wanted term

common ratio

first term

53.

$a_n=a_1r^{n-1}$

Consider the first six terms of this sequence : 3,6,12,24,48,96….. What would be the 19th term of the sequence

393216

786432

1572864

1162261467

54.

Carey is organizing her books and putting them on shelves. She put 2 books on the first shelf, 8 books on the second shelf, 32 books on the third shelf, and 128 books on the fourth shelf. What kind of sequence is this?

Geometric

Arithmetic

Both

Neither

55.

Determine whether the sequence is arithmetic, geometric, or neither.

arithmetic

geometric

neither

56.

Determine whether the sequence is arithmetic, geometric, or neither.

arithmetic

geometric

neither

57.

This image shows how a certain bacteria grows in a petri dish. What is the common ratio of this sequence?

58.

Daisy received $2 on her first birthday. Each year, the amount of money she received tripled. How much money will she receive on her 5^th birthday?

$10

$300

$162

$416

59.

The first term in a geometric sequence is 160 and the common ratio is 1/2. What is the 7th term given the equation a_n= a₁(r)^n-1

2.5

1.25

60.

You have $729 in the bank on Day 1, $243 on Day 2, and $81 on Day 3. Write the explicit formula that expresses the sequence.

a_n = 729(1/3)^n-1

a_n = 729(3)^n-1

a_n = 1/3(a_n-1)

a_n= 1/3(729)^n-1

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Alg Unit 5B Review - Interest, Sequences & Comparing Functions

Total questions: 60

Worksheet time: 4hrs 10mins

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