Nonlinear Systems of Equations

Determine the number of solutions to the given linear-quadratic system.

• 0 solutions
• 1 solution
• 2 solutions
• 3 solutions

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.

Which of the following graphs correctly represents:

y=x²

y=-2x+1

• 
• 
• 
• 

Determine the solution to the given linear-quadratic function.

• No Solution

• (3, 0)

• (2, -3)

• (-3, 2)

Two equations were graphed on the set of axes below.  Which point is a solution to the system of equations ?

• (0,3)
• (5,0)
• (2,-3)
• (8,9)

Given the system of equations:

y = x² + 3x - 5

-x + y = 3

When x = -4, what is the value of y?

• -1

• 1

• 7

• -33

What are the solutions to the graphed system?

• (0,-2) and (1,3)

• (-2,0) and (2,0)

• (0,-2) and (3,1)

• (2,2) and (1,0)

A system that contains one linear function and one quadratic function can have 0, 1, or 2 solutions.

• True

• False

• Cannot be determined

What are the solutions to this quadratic/ linear system?

• (-2, 0) and (3,0)

• No Solutions

• -6 and -10

• (1,-6)

• (-1,7) and (1,3)

• (7,-1) and (3,1)

• (1,-7) and (-1,3)

• (-1,7) and (1,-3)