Algebra II Quiz: Lessons 7.1 through 7.4 Review

Name: ________________________ Class: ___________________ Date: __________

Algebra II Quiz: Lessons 7.1 through 7.4 Review

Graph: 1. f (x) = 4x

ID: A

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Name: ________________________ ____ 2. Graph the function: f (x) = 3x

ID: A

2

Name: ________________________ a.

b.

ID: A

3

Name: ________________________ c.

d.

ID: A

____ 3. Find the y-intercept of the equation. y = - 3 7x

a. 4

b. ?21

c. ?3

d. 7

4. The amount of money, A, accrued at the end of n years when a certain amount, P, is invested at a compound annual rate, r, is given by A = P(1 + r)n . If a person invests $250 in an account that pays 10% interest compounded annually, find the balance after 15 years.

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Name: ________________________

ID: A

____

5. The amount of money, A, accrued at the end of n years when a certain amount, P, is invested at a compound

annual

rate,

r,

is

given

by

A

=

P (1 +

r)

n

.

If

a

person

invests

$310

in

an

account

that

pays

8%

interest

compounded annually, find the balance after 5 years.

a. $455

b. $2790

c. $13,950

d. $443

6. The projected worth (in millions of dollars) of a large company is modeled by the equation y = 256(1.04) x . The variable x represents the number of years since 1997. What is the projected annual percent of growth, and what should the company be worth be in 2007?

____

7. The projected worth (in millions of dollars) of a large company is modeled by the equation y = 241(1.04) x .

The variable x represents the number of years since 1997. What is the projected annual percent of growth,

and what should the company be worth in 2001?

a. 14%; $293.21 million

c. 14%; $250.64 million

b. 4%; $271.09 million

d. 4%; $281.94 million

8. Find the value of $1000 deposited for 8 years in an account paying 8% annual interest compounded semiannually.

9. How much money must be deposited now in an account paying 7% annual interest, compounded yearly, to have a balance of $1000 after 6 years?

____ 10. Sara bought 6 fish. Every month the number of fish she has doubles. After m months she will have F fish,

where F = 62m . How many fish will Sara have after 2 months if she keeps all of them and the fish stay

healthy?

a. 20

b. 10

c. 144

d. 24

____ 11. If there are initially 4000 bacteria in a culture, and the number of bacteria double each hour, the number of

bacteria after t hours can be found using the formula N = 4000????2t ^?~~. How many bacteria will be present after

9 hours?

a. 2,048,000

b. 4,096,000

c. 1,024,000

d. 72,000

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