If two lines intersect at one point,
the system is called
1. consistent and
dependent
2. consistent and
independent
3. inconsistent and
independent
4. inconsistent and
dependent
25%
1
25%
25%
2
3
25%
4
In solving a system of equations using the
substitution method, suppose you obtain the
result of 3 = 4. What term is used to
describe the system?
1.
2.
3.
4.
dependent system
none of these
consistent system
inconsistent
system
25%
1
25%
25%
2
3
25%
4
Find the x-coordinate of the
solution of the system
x y
R
|2  3  0
S
|| x  2 y  4
T3 3 3
1.
2.
3.
4.
25%
25%
25%
2
3
25%
x=3
x = -2
x=2
x = -3
1
4
Hilda wants to invest part of $6000 in an account
that paid 3% and part in an account that paid 5%.
The total annual interest from both accounts is
$256. How much was invested at 5%?
1.
2.
3.
4.
$3800
$772
$4000
$3500
25%
1
25%
25%
2
3
25%
4
x  2y  6
R
S
Tx  y  3
Solve the following system by
graphing and then give the ycoordinate of the solution.
25%
1.
2.
3.
4.
25%
25%
2
3
25%
y=4
y = -1
y=1
y = -4
1
4
Equations with different graphs are
called ____________ equations.
25%
1.
2.
3.
4.
25%
25%
2
3
25%
consistent
inconsistent
dependent
independent
1
4
If line 1 has slope 3 and y-intercept 4 and
1
line 2 has slope  3 and y-intercept 4, how
many solutions does the system have?
25%
25%
25%
2
3
25%
1. one solution
2. infinitely many
solutions
3. cannot determine
from the
information given
4. no solution
1
4
2 x  y  5

5 x  y  9
Solve the system
by graphing
and then give the y-coordinate of the
solution.
25%
1.
2.
3.
4.
25%
25%
2
3
25%
y=2
y=–1
y=–2
y=1
1
4
In solving a system of equations using the
substitution method, suppose you obtain the result
of 2 = 2. What would be the graph of the system?
25%
25%
25%
2
3
25%
1. two parallel lines
2. two lines that
intersect in one
point
3. two lines that
coincide
4. two lines that are
perpendicular
1
4
At the concession stand hot dogs sold for $1.00 and
hamburgers for $1.50. At the last football game 175 hot
dogs and hamburgers were sold and $235 was collected.
How many hamburgers were sold? Solve by writing a
system of two equations in two variables.
25%
1.
2.
3.
4.
25%
25%
2
3
25%
120
100
140
55
1
4
The solutions for the system
are in
1.
2.
3.
4.
x  0

y 0
x  y  2

25%
25%
25%
2
3
25%
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
1
4
A system of equations that has at least
one solution is called a(n) _________
system.
25%
1.
2.
3.
4.
25%
25%
2
3
25%
consistent
inconsistent
dependent
independent
1
4
Determine the number of solutions
for the system
3 x  4 y  12


3
 y  3  4 x
1.
2.
3.
4.
25%
25%
25%
2
3
25%
one solution
no solution
none of these
infinitely many
solutions
1
4
Find the y-coordinate of the ordered
pair of the solution of the system
5 x  7 y  3

 2 x  7 y  3
1.
2.
3.
4.
25%
25%
25%
2
3
25%
y=–1
y=2
y=–2
y=1
1
4
If the sum of the measures of two
angles is 90, the angles are called
______________ angles.
25%
1.
2.
3.
4.
25%
25%
2
3
25%
right
supplementary
complementary
obtuse
1
4
Solve the following system by the
elimination (addition) method.
3 x  2 y  6

3
y
 4 x  2  2
1. (2, 0)
2. (0, – 3)
3. The system is
inconsistent.
4. The equations are
dependent.
25%
1
25%
25%
2
3
25%
4
A merchant wishes to mix peanuts that sell for $3.50 per pound and cashews
that sell for $6 per pound to get 100 pounds of mixed nuts that sell for $4.50
per pound. Let x equal the number of pounds of peanuts and y equal the
number of pounds of cashews. If solving this by writing two equations in two
variables, which of the following could be one of the equations?
25%
1.
2.
3.
4.
25%
25%
2
3
25%
3.50x + 6y = 100
3.50x + 6y = 4.50
3.50x + 6y = 450
x + y = 4.50
1
4
The solutions for the system
x  0

y  0
are in
1.
2.
3.
4.
25%
25%
25%
2
3
25%
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
1
4
A system with no solution is called
1. an independent
system
2. a dependent
system
3. a consistent
system
4. an inconsistent
system
25%
1
25%
25%
2
3
25%
4
Determine if (3,– 2) is a solution of
the system 3x  2 y  13

4 y  7  5 x
1.
2.
3.
4.
25%
25%
25%
2
3
25%
(3,– 2) is a solution of only
the first equation
(3,– 2) is a solution of only
the second equation
(3,– 2) is a solution of both
equations
(3,– 2) is a not a solution of
either equation
1
4
A chemist needs 12 liters of a 30% acid solution. He has a 10% acid
solution and a 40% acid solution. Let x equal number of liters of 10%
acid solution and y equal number of liters of 40% acid solution. If
solving this problem by writing two equations in two variables, which of
the following could be one of the equations?
25%
1.
2.
3.
4.
25%
25%
2
3
25%
.10x + .40y = 3.6
.10x + .40y = 36
.10x + .40y = 12
.10x + .40y = .3
1
4
Which of the following points cannot be used
as a test point to determine which region to
shade for the linear inequality 2 x  5 y  12 ?
25%
1.
2.
3.
4.
25%
25%
2
3
25%
(1, – 2)
(– 1, 2)
(1, 2)
(– 1,– 2)
1
4
Equations with different graphs are
called __________ equations.
25%
1.
2.
3.
4.
25%
25%
2
3
25%
dependent
independent
consistent
inconsistent
1
4
Solve the following system by graphing and
then give the x-coordinate of the ordered
pair of the solution.  y   1 x  3
2

 y  2
25%
1.
2.
3.
4.
25%
25%
2
3
25%
x=2
x = -2
x=7
x=0
1
4
If line 1 has slope 5 and y-intercept 3 and
line 2 has slope -5 and y-intercept 4, how
many solutions does the system have?
25%
25%
25%
2
3
25%
1. one solution
2. no solution
3. infinitely many
solutions
4. cannot determine
from the
information given
1
4