AnswersDHS Algebra 2 VLinear Programming

Solving Linear Systems Graphically Answers

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1
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Which step is not necessary when solving this system of equations by graphing?

Question illustration
A
Identify the point of intersection.
B
Choose a method to graph the equations.
C
Determine the shaded area for each line.
D
Write the solution as an ordered pair.
2
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Which equation can pair with 3x + 4y = 8 to create a consistent and independent system?

A
6x + 8y = 16
B
–3x – 4y = –6
C
6x – 3y = 2
D
–3x – 4y = –8
3

Which answer describes the graph of the system of equations?

Question illustration
A
The point of intersection is (0, 4).
B
The point of intersection is (4, 0).
C
The lines are parallel.
D
The lines coincide.
4

How many solutions exist for the system of equations graphed below?

Question illustration
A
none
B
one
C
two
D
infinitely many
5

Which equation can pair with x + 2y = 5 to create an inconsistent system?

A
2x + 4y = 3
B
5x + 2y = 3
C
6x + 12y = 30
D
3x + 4y = 8
6

Which system of equations is inconsistent?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

Which region represents the solution to the given system of inequalities?

Question illustration
A
A
B
B
C
C
D
D
9

How many solutions exist for the system of equations graphed below?

Question illustration
A
none
B
one
C
two
D
infinitely many
10

Which statement describes the graph of the system of equations?

Question illustration
A
The lines are parallel.
B
The lines are coinciding.
C
The lines intersect at (1, 0).
D
The lines intersect at (–1, 0).
11

What is the solution to the system of equations graphed on the coordinate plane?

Question illustration
A
(4, 3)
B
(3, 4)
C
(2, 0)
D
(5, 0)
12

What is the solution to the system graphed below?

Question illustration
A
(1, 1)
B
(1, –1)
C
(–1, 1)
D
(–1, –1)
13

The solution to the given system of linear equations lies in which quadrant?

Question illustration
A
I
B
II
C
III
D
IV
14

How many solutions exist for the system of equations below?

Question illustration
A
none
B
one
C
two
D
infinitely many

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