Solving Systems of Inequalities and Equations

Write the inequalities represented in the picture.

• y > -2 + x
  y ≤ 2x + 2

• y > 2 + x
  y ≤ 2x + 2

• y ≥ -2 + x
  y ≤ 2x + 2

• none of these are the system

Tags

CCSS.HSA.REI.D.12

Write the inequalities represented in the picture.

• y > -4/5x - 1 and y ≤ 2/3x + 3

• y ≥ -4/5x - 1 and y ≤ 2/3x + 3

• y < -4/5x - 1 and y < 2/3x + 3

• y < -4/5x - 1 and y ≥ 2/3x + 3

Tags

CCSS.HSA.REI.D.12

Which ordered pair is a solution to the system of equations:
y > 4x - 3
y ≥ -2x + 3

• (0, 0)

• (1, 0)

• (1, 2)

• (2, 1)

y = 2/3x - 2
y = -x + 3

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

The graph shows two lines representing the equations y = -x + 4 and -2x + y = 3.

Which ordered pair is in the solution set for the system of inequalities y > -x + 4 and -2x + y < 3

• (4,3)

• (4,-2)

• (1,6)

• (2,5)

Tags

CCSS.HSA.REI.D.12

The graph shows two lines representing the equations y = -x + 4 and -2x + y = 3.

Which ordered pair is in the solution set for the system of inequalities y > -x + 4 and -2x + y < 3

• (4,3)

• (4,-2)

• (1,6)

• (2,5)

Tags

CCSS.HSA.REI.D.12

Which of the following points is a solution to the system of linear inequalities represented by the graph?

• (-3, 1)

• (0, 3)

• (2, 1)

• (-5, 1)

Tags

CCSS.HSA.REI.D.12

• (-5, 0)

• (0, 7)

• (5, 0)

• (0, -7)

Tags

AI.9.3.H

​ ​ (a)   ​ ​ (b)  

If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines

• the same line 

• Intersecting lines

Tags

CCSS.8.EE.C.8A