Chapter 7 CAT Review
Name_______________________
Period
1
2
Solve the system of equations by ANY
METHOD.
4
1
3
4
5
6
Solve the system of equations by ANY
METHOD.
2x  3y  10
2y  5x  8
2x  5y  22
4x  3y  2
Leigh has 52 coins in dimes and quarters.
The total value of the coins is $6.25. Write
a system of equations and solve to find
how many of EACH coin she has.
5 James is going to a friend’s Big Super Bowl
party. He is supposed to bring the cheese for
the sandwiches. He can buy three pounds of
cheddar and two pounds of American for
$14.50. He can buy two pounds of cheddar and
one pound of American for $9.00. Write a
system of equations and solve to find the cost
of one pound of cheddar and the cost of one
pound of American cheese.
3
Graph the system of inequalities.
y x2
y2
6
Solve the system of equations by
graphing.
9
Solve the system of equations by
graphing.
y  2x  6
y
y  x
2
3
x5
2x  3y  15
7
8
The perimeter of a rectangle is 30 in. The
length of the rectangle is 3 in less than
twice the width. Write a system of
equations and solve to find the width of
the rectangle.
A
4 in
B
5 in
C
6 in
D
9 in
Solve the system of equations by
substitution.
y  3x  2
and
 9x  3y  6
10 The math club and the science club had
fundraisers to buy supplies for a hospice.
The math club spent $135 buying six
cases of juice and one case of bottled
water. The science club spent $110
buying four cases of juice and two cases
of bottled water. Write a system of
equations and solve to find the cost of a case
of juice and the cost of a case of bottled
water.
11
Is  10, 1 a point of intersection on the
graphs x  4 y  14 and 2x  4 y  16 ?
Yes or No?
13 Solve the system of equations by ANY
METHOD.
3x  4y  13
x  3y  13
12
Which ordered pair is a solution to the
system of inequalities?
A
 2,1
B
0,2
C
0, 2
D
4, 3
14
Write a system of inequalities for the
shaded region.
15
Which of the following is a solution to
the system?
5x  y  10
7x  2y  11
A (4, -3)
B (-2, 4)
C (3, 5)
D (1, 6)
16
A school concert was attended by 578
adults and students. Admission was $2
for adults and $1.50 for students. The
total receipts were $985. Write a system
of equations and solve to find how many
adults and how many students attended
the concert?
19
The perimeter of a rectangle is 44 cm. The
length of the rectangle is four cm more than
twice the width. Write a system of equations
that would be used to find the length and
the width of the rectangle.
17 Solve the system of equations by ANY
METHOD.
x  2y  1
4x  3y  15
20 The length of a rectangle is 3 feet
less than twice the width. The perimeter
is 48 feet. Which system of equations
below will determine the length in
feet, l, and the width in feet, w, of
the rectangle?
A
B
18
Jennifer bought a total of 30 cans of
tennis balls. She bought twice as many
cans of yellow tennis balls as cans of
pink tennis balls. Write a system of
equations and solve to find how many
cans of each color she bought?
C
D
L  W3
L  W  48
L  2W  3
2L  2W  48
W  L3
2L  2W  48
L  2W  3
2L  2W  48