1
Name ___________________________ Period ____ Score ______=____ Notes __________
c/b __________________________________
10
30
Secondary I Honors Review 7
1. Write a system of linear inequalities that is represented by the graph.
_______________________
_______________________
2. Tell whether the graph of each inequality would be represented with a
dashed line or solid line.
a.
________________________
b.
_________________________
3. A company produces CDs and DVDs. There is an expected demand of at least 5000 CDs and 8000 DVDs each
day. A total of at most 20,000 items are produced each day. Write a system of linear inequalities to represent the
constraints of this situation. Let x represent the number of CDs and y represent the number of DVDs.
4. A company prints flyers and brochures. It takes 2 minutes to print a flyer and 4 minutes to print a brochure. Each
flyer uses 12 ounces of ink and each brochure uses 9 ounces of ink.
The company has 2 hours available and 360 ounces of ink. The
company makes a profit of $1 on each flyer and $2 on each brochure.
The company cannot print a negative number of flyers or brochures.
a.
b.
Let x represent the number of flyers and y represent the
number of brochures. Write a system of inequalities to
represent the constraints of this problem situation.
_______________________________
________________________________
Graph the system of inequalities. Then write and solve an
equation to determine how many flyers and brochures the
company should print in order to maximize their profit.
______________________
5. Tell whether the graph of each inequality would be represented with a dashed line or solid line.
a.
___________________________
b.
____________________________
6. A farmer grows corn and tomatoes. There is an expected demand of at least 2000 ears of corn and 3500 tomatoes
each week. A total of more than 6000 food items must be grown each week. The farmer also wants to grow at
least twice as many tomatoes as ears of corn. Write a system of linear inequalities to represents the constraints of
this situation. Let x represent the number of ears of corn and y represent the number of tomatoes.
7. Jayla has 500 stickers in a collection. She wants at least y stickers in her collection at the end of the month. She
buys 25 stickers each day. Write an inequality that represents this situation, where x is the number of days.
____________________________
2
8. Tell whether the graph of each inequality would be represented with a dashed line or solid line.
a.
b.
_______________________
________________________
9. Graph the solution to this system of linear inequalities.
Multiple Choice
____ 10. Marli has $1200 in her savings account. She wants at least y in her account at the end of the year. She withdraws
$150 each month. Which inequality represents this situation, where x is the number of months?
a.
b.
c.
d.
____ 11. A company produces white rice and brown rice. There is an expected demand of at least 200 pounds of white rice
and 50 pounds of brown rice each day. A total of at least 300 pounds of rice must be produced each day. Which
system of linear inequalities represents the constraints of this situation? Let x represent the number of pounds of
white rice and y represent the number of pounds of brown rice.
a.
b.
c.
d.
____ 12. Which is a solution to the system of linear inequalities?
a.
b.
c.
d.
____ 13. A baker is baking cookies and brownies. It takes 12 minutes to bake a batch of cookies and 20 minutes to bake a
batch of brownies. Each batch of cookies uses 1 cup of flour and each batch of brownies uses 5 cups of flour. The
baker has 10 hours available and 100 cups of flour. The baker makes a profit of $8 on each batch of cookies and
$10 on each batch of brownies. How many batches of cookies and brownies should the baker make in order to
maximize profit?
a. 0 batches of cookies and 0 batches of brownies
b. 0 batches of cookies and 20 batches of brownies
3
c. 50 batches of cookies and 0 batches of brownies
d. 25 batches of cookies and 15 batches of brownies
____ 14. Which is a solution to the system of linear inequalities?
a.
b.
c.
d.
____ 15. Which is a solution to the system of linear inequalities?
a.
b.
c.
d.
____ 16. A principal wants to order at least 800 math books. The company has 500 math books in their warehouse. They
also have 600 math books in a storage unit. It costs $3 to ship a math book from the warehouse. It costs $5 to ship
a math book from the storage unit. Which system of linear inequalities represents the constraints of this situation?
Let x represent the number of math books shipped from the warehouse and y represent the number of math books
shipped from the storage unit.
a.
b.
c.
d.
____ 17. Doug has 2000 baseball cards. He wants at least y baseball cards in his collection by the time he graduates. He
buys 25 baseball cards each week. Which inequality represents this situation, where x is the number of weeks?
a.
b.
____ 18. Which is a solution to the inequality
a.
b.
c.
d.
?
c.
d.
4
Secondary I Honors review 7
Answer Section
1. ANS:
PTS: 1
TOP: Pre Test
2. ANS:
a.
dashed line
REF: 7.3
NAT: A.REI.12 | A.CED.3
PTS: 1
TOP: Pre Test
3. ANS:
REF: 7.1
KEY: half-plane
NAT: A.REI.12 | A.CED.3
PTS: 1
TOP: Pre Test
4. ANS:
REF: 7.4
NAT: A.REI.12 | A.CED.3
KEY: linear programming
b.
a.
b.
solid line
5
The company can maximize their profit by printing either 12 flyers and 24 brochures or 0 flyers and 30
brochures.
PTS: 1
TOP: Post Test
5. ANS:
a.
solid line
b.
REF: 7.4
NAT: A.REI.12 | A.CED.3
KEY: linear programming
dashed line
PTS: 1
TOP: Post Test
6. ANS:
REF: 7.1
KEY: half-plane
NAT: A.REI.12 | A.CED.3
PTS: 1
TOP: Post Test
7. ANS:
REF: 7.4
NAT: A.REI.12 | A.CED.3
KEY: linear programming
PTS: 1
TOP: End Ch Test
8. ANS:
a.
dashed line
REF: 7.1
KEY: half-plane
NAT: A.REI.12 | A.CED.3
6
b.
solid line
PTS: 1
TOP: End Ch Test
9. ANS:
10.
11.
12.
13.
14.
15.
16.
17.
18.
PTS:
TOP:
ANS:
TOP:
ANS:
TOP:
ANS:
TOP:
ANS:
TOP:
ANS:
TOP:
ANS:
TOP:
ANS:
TOP:
ANS:
TOP:
ANS:
TOP:
REF: 7.1
KEY: half-plane
1
REF:
End Ch Test
C
PTS:
Standardized Test
B
PTS:
Standardized Test
D
PTS:
Standardized Test
C
PTS:
Standardized Test
A
PTS:
Standardized Test
D
PTS:
Standardized Test
C
PTS:
Standardized Test
A
PTS:
Standardized Test
A
PTS:
Standardized Test
NAT: A.REI.12 | A.CED.3
7.3
NAT: A.REI.12 | A.CED.3
1
REF:
KEY:
REF:
KEY:
REF:
KEY:
REF:
KEY:
REF:
KEY:
REF:
KEY:
REF:
KEY:
REF:
KEY:
REF:
KEY:
1
1
1
1
1
1
1
1
7.1
NAT: A.REI.12 | A.CED.3
half-plane
7.4
NAT: A.REI.12 | A.CED.3
linear programming
7.2
NAT: A.REI.12 | A.CED.3
constraints | solution of a linear inequality
7.4
NAT: A.REI.12 | A.CED.3
linear programming
7.2
NAT: A.REI.12 | A.CED.3
constraints | solution of a linear inequality
7.2
NAT: A.REI.12 | A.CED.3
constraints | solution of a linear inequality
7.4
NAT: A.REI.12 | A.CED.3
linear programming
7.2
NAT: A.REI.12 | A.CED.3
constraints | solution of a linear inequality
7.1
NAT: A.REI.12 | A.CED.3
half-plane