Solving Linear Systems by Graphing Worksheet

Solving Linear Systems by Graphing Worksheet
  • Page 1
 1.  
How many solutions does the system of linear inequalities - x + 2y ≥ 6 and x - 2y ≥ 4 have?
a.
finite
b.
1
c.
infinite


Answer: ()


Correct answer : (4)
 2.  
Which of the graphs represent the system of equations - 2x + 3y > 6 and x + y ≤ - 3?

a.
Graph 3
b.
Graph 1
c.
Graph 2
d.
Graph 4


Answer: (c)


Correct answer : (3)
 3.  
Choose a graph that represents the following system of inequalities.
x ≥ 0
y ≥ 0
4x + 6y ≤ 12


a.
Graph 2
b.
Graph 4
c.
Graph 1
d.
Graph 3


Answer: (c)


Correct answer : (3)
 4.  
Which of the following linear systems matches the graph?


a.
y = x + 2, y = 1 4x - 3
b.
y = - x - 2, y = 1 4x + 3
c.
y = x - 2, y = 1 4x + 3
d.
y = - x + 2, y = 1 4x - 3


Answer: (d)


Correct answer : (4)
 5.  
Find the number of solutions for the linear system.
- 2x + y = - 4
- 10x + 5y = - 20
a.
exactly one solution
b.
exactly two solutions
c.
infinitely many solutions
d.
no solution


Answer: (c)


Correct answer : (3)
 6.  
Find the number of solutions for the linear system.
x + y = - 4
x + y = - 1
a.
exactly one solution
b.
no solution
c.
exactly two solutions
d.
infinitely many solutions


Answer: (b)


Correct answer : (2)
 7.  
How many solutions do the systems of linear inequalities - x + 2y ≥ 6 and x - 2y ≥ 4 have?
a.
infinite
b.
finite
c.
1


Answer: (b)


Correct answer : (2)
 8.  
Which of the graphs represents the system of equations, - 2x + 3y > 6 and x + y ≤ - 3?

a.
Graph 4
b.
Graph 1
c.
Graph 3
d.
Graph 2


Answer: (d)


Correct answer : (4)
 9.  
Choose a graph that represents the system of inequalities:
x ≥ 0
y ≥ 0
4x + 6y ≤ 12


a.
Graph 3
b.
Graph 4
c.
Graph 2
d.
Graph 1


Answer: (d)


Correct answer : (4)
 10.  
Find the number of solutions the linear system has by using the graphing method.
x + 4y = 1
x + 4y = - 1 2
a.
No solution
b.
Exactly one solution
c.
Infinitely many solutions
d.
Two solutions


Answer: (a)


Correct answer : (1)

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