Review of System of Equations and Inequalities

Which of the following is not a solution to this system of inequalities?

• (0,-1)

• (0,3)

• (4,0)

• (6,-2)

Solve the system of inequalities by graphing.

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• 
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If a system of linear equations has infinitely many solutions, what does this mean about the two lines? 

• Intersecting lines

• Same line

• Parallel lines

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

• yes

• no

Solve the system using any method:

4x+8y=20

-4x+2y=-30

• (-7,1)

• (2,-5)

• (-2,5)

• (7,-1)

Which of the following is NOT a solution to the systems of inequalities?

• (0, 0)

• (3, 1)

• (-1, -2)

• (1, -4)

Select all ordered pairs that are solutions to the system of inuqualities.

• (1, 2)

• (-2, 1)

• (5, 3)

• (2, 0)

• (-2, 3)

Which of the following is NOT a solution?

• (2, -5)

• (0,0)

• (4, -1)

• (-3,4)

How many solutions does the following system of linear equations have?

6a + 3b = 12

6a - 3b = 12

• one

• two

• infinite

• none

How many solutions does the following system have? Why?
y = -2/3x + 5
2x + 3y = 15

• None.  The equations have the same slope and different  
  y-intercepts

• Infinitely many.  The equations are exactly the same when in slope-intercept form.

• Three.  There are two equations so there are exactly three solutions to the system.

• One.  The equations have different slopes so there is exactly one solution.