Download Chapter 5 Review COMPLETE ALL YOUR WORK

Chapter 5 Review
COMPLETE ALL YOUR WORK ON YOUR OWN PAPER AND STAPLE IT TO THE BACK OF THIS SHEET.
1. Write equations representing the amount of the following investments as a product of time.
a. $1,000 is deposited into a bank account paying 1.5% interest compounded annually.
( )
(
)
b. Dwayne buys a car for $25,000 that depreciates at a rate of 4% per year.
( )
( )
c. Leon deposits $250 into a compound interest account. The interest rate for the account is 6% per year.
( )
(
)
d. Rachel deposits $450 into a compound interest account. The interest rate for the account is 5.5% per
year.
( )
(
)
i. Determine Rachel’s account balance after 10, 15, and 20 years. Round to the nearest cent.
768.67
1004.61
1312.99
2. The function ( )
(
) represents the balance in an account as a function of time.
a. Using a graphing calculator, determine the number of years it will take for the account balance to reach
$20,000. Round to one decimal place.
14.5 years
3. Rewrite each function g(x) in terms of the basic function f(x).
a.
( )
( )
;
( )
b.
( )
( )
c.
( )
( )
( )
;
( )
;
( )
d.
( )
( )
( )
(
)
;
( )
(
)
4. Write the equation of the function given each translation.
a. ( )
;
𝐴 vertical translation up three units
( )
b.
( )
;
A horizontal translation three units to the left
( )
c.
( )
;
A reflection about the y-axis (i.e. x=0)
( )
d.
( )
;
A reflection about the x-axis (i.e. y=0)
( )
e.
( )
;
A shift left three units and a shift up four units
( )
Chapter 6 Review
1. Determine the solution to each set of equations by substitution. Be sure to check your answer.
a. {
(6, -1)
b. {
(8.57, -9.857)
2. Solve by using linear combinations (i.e. elimination)
a. {
(-4, 0)
b. {
(-6, -2)
3. The graph shows the number of automobiles sold by two companies over the first five months of the year. What
does the solution x = 3 represent?
At three months, the number of automobiles sold by each company will be equal.
4. How many solutions does each system of equations have?
a.
b.
c.
Infinite Solutions
No Solution
Infinite Solutions
5. Keith and Adam are personal trainers. Keith offers personal training sessions for $35 each plus a $115 start up
fee. Adam offers personal training sessions for $60 each plus a $15 start up fee. Write and graph a system of
linear equations that represents this situation. Determine the number of sessions at which both trainers will cost
the same amount.
4 Sessions
6. Two plumbers charge different rates for service. The first plumber charges $100 per service call plus $25 per hour
of service. The second plumber charges $50 per service call plus $50 per hour of service. After how many hours
do the plumbers charge the same amount?
2 Hours