Quiz over Solving Systems of Nonlinear Equations

Solve the System by using the Substitution Method:

 $y\ =\ -x^2+3$  

 $y-2x\ =\ 0$  

• (-6, -3) and (2, 1)
  

• (-3, -6) and (1, 2)

• (-3, -2) and (1, -6)

• (-3, 2) and (1, 6)

Tags

CCSS.HSA.REI.C.7

Solve the System by using the Substitution Method:

 $y\ =\ ^3\sqrt{x}$ 
 $y\ =\ x$   

• (0,0)

• (1,1)

• (-1, -1)

• All of the Above

• No Solution! It is an Inconsistent System

Tags

CCSS.HSA.REI.A.2

Solve the System by using the Substitution Method:

 $y\ =\ \left(x+3\right)^2-1$  

 $y\ =\ 2x+5$  

• (-3, -1) and (-1, 3)

• (-1, -3) and (3, -1)

• (-3, -1), (-1, 3), (-1, -3), and (3, -1)

• No solution! It is an Inconsistent System

Tags

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.11

Solve the System by using the Elimination/Addition Method:

 $3x^2+y^2\ =\ 21$ 
 $4x^2-2y^2\ =\ -2$   

• (2, 3) and (2, -3)

• (-2, 3) and (-2, -3)

• (2, 3), (2, -3), (-2, 3) and (-2, -3)

• No solution! It is an Inconsistent System

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.7

Solve the System by using the Elimination/Addition Method:

 $x^2-xy\ =\ 20$  

 $-2x^2+3xy\ =\ -44$  

• (4, 1) and (-4, -1)

• (4, -1) and (-4, 1)

• (4, 1), (-4, -1), (4, -1), and (-4, 1)

• No solution! It is an Inconsistent System.

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.11

Solve the System by using the Elimination/Addition Method:

 $6x^2+5y^2\ =\ 38$  

 $7x^2-3y^2\ =\ 9$  

•  $\left(\sqrt{3},\ 2\right)\ and\ \left(\sqrt{3},\ -2\right)$  

•  $\left(-\sqrt{3},\ 2\right)\ and\ \left(-\sqrt{3},\ -2\right)$  

•  $\left(\sqrt{3},\ 2\right),\ \left(\sqrt{3},\ -2\right),\ \left(-\sqrt{3},\ 2\right),\ and\ \left(-\sqrt{3},\ -2\right)$  

• No solution! It is an Inconsistent System.

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.7

Solve the System using ANY method:

 $x^2-6xy+9y^2\ =\ 0$  

 $x\ -\ y\ =\ 2$  

• (3, 1)

• (1, 3)

• (3, 1) and (1, 3)

• No solution! It is an Inconsistent System.

Tags

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.11

Solve the System using ANY method:

 $y\ =\ x^2-6x+9$  

 $y\ =\ -2x+5$  

• (1, 2)

• (2, 1)

• (1, 2) and (2, 1)

• No solution! It is an Inconsistent System.

Tags

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.11

Solve the System using ANY method:

 $y\ =\ -x^2+6x-9$  

 $y\ =\ x^2-2x-3$  

• (3, 0)

• (1, -4)

• (3, 0) and (1, -4)

• No solution! It is an Inconsistent System

Tags

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.11

Create the System of Nonlinear Equations that fits the scenario:

Find two numbers whose sum is 9 and whose product is -36.

• x+y = 9

  xy = -36

• x+y = 9

  x/y = -36

• x-y = 9

  xy = -36

• x-y = 9

  x/y = -36

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.7