Unit 2:
Linear Systems
EOCT Review
Day 1
Solving Systems Algebraically
Unit 2 EOCT Review
Practice #1
Two small pitchers and one large pitcher can hold 8 cups
of water. One large pitcher minus one small pitcher
constitutes 2 cups of water. How many cups of water can
each pitcher hold?
A. The small pitcher holds 2 cups of water.
pitcher holds 4 cups of water.
B. The small pitcher holds 4 cups of water.
holds 2 cups of water.
C. The small pitcher holds 3 cups of water.
pitcher holds 4 cups of water.
D. The small pitcher holds 4 cups of water.
pitcher holds 3 cups of water.
The large
The large pitcher
The large
The large
Work it out!
Practice #2
A test has twenty questions worth 100 points. The test
consists of True/False questions worth 3 points each and
multiple choice questions worth 11 points each. How many
multiple choice questions are on the test?
A. There are 10 multiple choice questions. There are 3 T/F
questions.
B. There are 15 multiple choice questions. There are 5 T/F
questions.
C. There are 3 multiple choice questions. There are 10 T/F
questions.
D. There are 5 multiple choice questions. There are 15 T/F
questions.
Work it out!
Practice #3
Margie is responsible for buying a week's supply of food
and medication for the dogs and cats at a local
shelter. The food and medication for each dog costs twice
as much as those supplies for a cat. She needs to feed 164
cats and 24 dogs. Her budget is $4240. How much can
Margie spend on each dog for food and medication?
A. She can spend $40 on each cat.
each dog.
B. She can spend $25 on each cat.
each dog.
C. She can spend $35 on each cat.
each dog.
D. She can spend $20 on each cat.
each dog.
She can spend $20 on
She can spend $35 on
She can spend $25 on
She can spend $40 on
Work it out!
Practice #4
Bill and Steve decide to spend the afternoon at
an amusement park enjoying their favorite
activities, the water slide and the gigantic Ferris
wheel. Their tickets are stamped each time
they slide or ride. At the end of the afternoon
they have the following tickets
Work it out!
How much does it cost to ride the Ferris Wheel?
How much does it cost to slide on the Water Slide?
Practice #5
The equations 5x + 2y = 48 and 3x + 2y = 32 represent
the money collected from school concert tickets sales
during two class periods. If x represents the cost for
each adult ticket and y represents the cost for each
student ticket, what is the cost for each adult ticket?
A.
B.
C.
D.
The cost of an adult ticket is $4.
The cost of an adult ticket is $6.
The cost of an adult ticket is $8.
The cost of an adult ticket is $10.
Work it out!
Practice #6
Solve the system of linear equations for the
x-coordinate!
HINT: eliminate the y-value if you want to find x.
2x + 2y = 6
3x – y = 5
A.
B.
C.
D.
x= 4
x= 2
x= 3
x= 1
Work it out!
Practice #7 You Try!
Solve the system of linear equations for the
x-coordinate!
HINT: eliminate the y-value if you want to find x.
x + 4y = 7
4x – 3y = 9
A.
B.
C.
D.
x= 3
x= 2
x= 4
x= 1
Work it out!
Practice #8
Solve the system of linear equations for the
y-coordinate!
HINT: eliminate the x-value if you want to find y.
3x + 4y = -1
4x – 3y = 7
A.
B.
C.
D.
y= -4
x= -1
y= -3
y= -1
Work it out!
Practice #9 You Try!
Solve the system of linear equations for the
y-coordinate!
HINT: eliminate the x-value if you want to find y.
3x + y = 4
6x + 4y = 6
A.
B.
C.
D.
y= -1
x= -2
y= 3
x= -1