Solving Quadratic Linear Systems Graphically

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

• 0 solutions

• 1 solution

• 2 solutions

• 3 solutions

• A

• B

• C

• D

Solve the system of linear and quadratic equations:

y = 5

y = 2x² - 16x + 29

• (6, 5) and (2, 5)

• (2, 6)

• (6, 2)

• (5, 6) and (5, 2)

What are the solutions to the graphed system?

• (0,-2) and (3,1)

• (-2,0) and (2,0)

• (0,-2) and (3,1)

• (2,2) and (1,0)

Determine the solution to the given linear-quadratic function.

• (0, 0)

• (3, 0)

• (2, -3)

• (-3, 2)

Which of the following represents the first step in solving:

y = x² + 3x - 5

y = x + 3

• x² - 3x + 5 = x - 3

• x² + 3x - 5 = x + 3

• x² + 3x - 5 + x + 3 = 0

• x² + 3x - 5 = 0

Which ordered pair is not a solution to the given system of inequalities? The solutions are ordered pairs that lie where the shaded areas meet.

• (0, 0)

• (10, 1)

• (-2, -3)

• (1, 2)

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

• True

• False

• Cannot be determined

• Nobody cares

Which of the following graphs correctly represents:

y=x²

y=-2x+1

• 
• 
• 
• 

Given the system of equations:
y = x² + 3x - 5
y = x + 3
When x = -4, what is the value of y?

• -1

• 1

• 7

• -33