1. N 1-4 Linear Application Problems
OBJECTIVE: Student should be able to…
Identify and describe a variable and expression
Evaluate an expression
Solve an equation
Objective 2: Demonstrates an understanding of the properties and attributes of functions.
Objective 4: Formulates and uses linear equations and inequalities.
As soon as you sit down work on WARM UP # 4 (you will only have approx. 3 minutes. NO TALKING!!

2. TAKS WARM UP #2 Objective 4: Formulates and uses linear equations and inequalities.
9. Auto-Check Motors charged Mr. Jones $84.00 for an automotive part plus $68.00 per hour that a mechanic worked to install the part. The total charge was $ For about how long did the mechanic work to install the part on Mr. Jones’s car?
6 h
5 h
4 h
3 h
68.00x =
68.00x =
_____________
x = 3.96

3. TAKS WARM UP #2 Objective 4: Formulates and uses linear equations and inequalities.
10. Ms. Kitts works at a music store. Last week she sold 6 more than 3 times the number of CDs that she sold this week. Ms. Kitts sold a total of 108 CDs over the 2 weeks. Which system of equations can be used to find l, the number of CDs she sold last week, and t, the number of CDs she sold this week?
F. l + t = 108
t = 3l + 6
G. l + t = 108
t = 3l − 6
H. l + t = 108
l = 3t − 6
J. l + t = 108
l = 3t + 6
l = last week
t = this week
l = 3t + 6
l + t = 180

4. N 1-4 Linear Application Problems
Write an equation for each of the following and solve. Round answers appropriately.
1. At the end of the day, Jeff found that the total cash register receipts at the motel where he works were $ This included sales tax of 8%. Find the amount of the tax.
Total = Cost + Tax
= x + .08x
____ ___
= 1.08x
265 = x (amount before the tax)
Tax = .08(265)
Tax = $ or

5. N 1-4 Linear Application Problems
Write an equation for each of the following and solve. Round answers appropriately.
2. Louise got scores 88 and 78 on her first two tests. What score must she make on her third test to keep an average of 80 or greater?
(3) (3)
x > 240
Must make 74 or better on the 3rd test.
166 + x > 240
x > 74

6. N 1-4 Linear Application Problems
Write an equation for each of the following and solve. Round answers appropriately.
3. A couple wishes to rent a car for one day while on vacation. Ford Car Rental wants $15 per day and $0.14 per mile, while Chevrolet-For-A-Day wants $14 per day and $0.16 per mile. After how many miles would the price to rent the Chevrolet exceed the price to rent the Ford?
Chevrolet > Ford
m > 50
m > m
After 50 miles.
.16m > m
-.14m m
.02m > 1
____ ___

7. N 1-4 Linear Application Problems
Write an equation for each of the following and solve. Round answers appropriately.
4. Steve is saving to buy a car. He has decided he will start looking as soon as he has saved $ If he has $1100 in savings now and he can save $150 a month, how many months will it be before Steve can begin looking at cars?
x = # months
x = 2000
6 months
150x = 900
____ ___
x = 6

8. N 1-4 Linear Application Problems
Write an equation for each of the following and solve. Round answers appropriately.
5. Ledd Corporation produces a CD-RW drive at a cost of $120 each with fixed costs of $36,000. The CD-RW drive sells for $180. How many drives must Ledd Corporation sell to break even?
d = # drives
cost = sales
120d = 180d
-120d d
__________
36000 = 60d
600 drives
600 = d

9. N 1-4 Linear Application Problems
Write an equation for each of the following and solve. Round answers appropriately.
6. A publishing company finds that the cost of publishing a certain book is $12.50 per copy. The fixed costs for publishing the book are $35,000. How many books must the company publish and sell in order to have a profit of at least $15,000 if each book sells for $25?
b = # books
money sales – cost > profit
4000 books or more
25b – (12.50b ) > 15000
25b – 12.50b > 15000
12.50b > 50000
12.50b > 15000
b > 4000