Systems of Equations and Inequalities

Given the system, determine a solution.

• No solution

• Infinite solutions

• (-5, 5)

• (5, -5)

Tags

CCSS.HSA.REI.D.12

Which system of inequalities is shown?

• y ≥ -x - 1
  y < x + 4

• y < -x - 1
   y ≥ x + 4

• y > -x - 1
  y ≥ x + 4

• y > -x - 1
  y ≥ x + 3

Tags

CCSS.HSA.REI.D.12

Solve the system of inequalities by graphing.

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• 
• 
• 

Tags

CCSS.HSA.REI.D.12

Which point is a solution?

• (0, 6)

• (-3, 5)

• (1, 0)

• (-4, 3)

Tags

CCSS.HSA.REI.D.12

Which point is in the overlap of the shaded regions?

• (8,-5)

• (20,5)

• (9,10)

• (-7,1)

Tags

CCSS.HSA.REI.D.12

Which point is a solution to both inequalities?

• (-10,-5)

• (-20,25)

• (40,30)

• (40,-10)

Tags

CCSS.HSA.REI.D.12

What are the two linear inequalities graphed here?

• y ≤ - x + 4
   y < x - 2

• y ≤ - x + 4
   y > x - 2 

• y ≤ - 2x + 4
   y > 2x - 2

• y ≤ - x + 2
   y > x - 4

Tags

CCSS.HSA.REI.D.12

Match the inequality to the correct graph in the image.

• A

• B

• C

• D

Tags

CCSS.HSA.REI.D.12

Which system of inequality is shown?

• y ≥ -x - 1
  y < x + 4

• y < -x - 1
   y ≥ x + 4

• y > -x - 1
  y ≥ x + 4

• y = -x - 1
  y ≥ x + 4

Tags

CCSS.HSA.REI.D.12

What is the solution?

• (6, 3)

• (3, 6)

• (-6, 3)

• No solution

Tags

CCSS.8.EE.C.8B