Graphing Systems of Nonlinear Equations and Inequalities

Solve the system of inequalities by graphing.

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Tags

CCSS.HSA.REI.D.12

Determine if the point (2,0) is a solution to the following system:

y=2x - 4

y=x² - 4

• Yes, because it works in one equation.

• Yes, because it works in the both equations.

• No, because it works in neither equation.

• No, because it works in only one equation.

Tags

CCSS.HSA.REI.C.7

Which graph could be used to find the solution to the system of equations show below:

y=2x+6

y=x²+4x+3

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Tags

CCSS.HSA.REI.C.7

• (0 , 4.162) and (6 , -4)

• (3.243 , 3.599) and (8.495 , 2.227)

• (4 , 0) and (8 , 0)

• No Solution

Tags

CCSS.HSA.REI.C.7

Which system of inequalities is represented by the graph?

• x≤-2
  y≤x-3

• y≤-2
  y≤x-3

• x≥-2
  y≤x-3

• y≥-2
  y≤x-3

Tags

CCSS.HSA.REI.D.12

Which system of inequalities matches this graph?

• y≥-2x+3
  y≤x-3

• y>2x+3
  y≥x-3

• y>-2x+3
  y≥x-3

• y<-2x+3
  y≤x-3

Tags

CCSS.HSA.REI.D.12

Which system of inequalities is represented by this graph?

• y < -3x + 3 and y > -3x - 1

• y ≥ -3x + 3 and y ≤ -3x - 1

• y ≤ -3x + 3 and y ≥ -3x - 1

• y > -3x + 3 and y < -3x - 1

Tags

CCSS.HSA.REI.D.12

Which system of inequalities is described by this graph?

• y < x−2 
  y < 3

• y > -x+2
  y > 3

• y < -x+2
  y < 3

• y < -x+2
  y > 3

Tags

CCSS.HSA.REI.D.12

• (-3 , 4)

• (0 , 5.732)

• (0 , 2) and (4 , 0)

• No Solution

Tags

CCSS.HSA.REI.C.7

The graph of f(x) and g(x) are shown below. How many solutions does the system of equations have?

• One

• Two

• Three

• Four

• No Solution

Tags

CCSS.HSA.REI.C.7