Number of Solutions of Quadratic-Linear Systems

What is the solution to the linear-quadratic system graphed in the picture.

• (0, 0)

• (3, 0)

• (2, -3)

• (-3, 2)

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

• 0 solutions

• 1 solution

• 2 solutions

• 3 solutions

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)

Find the solution(s):
y = x² - 4x + 6
y = x + 2

• (1, 4)

• (-1, 1) and (4, 2)

• (1, 3) and (4, 6)

• (1, 4) and (3, 6)

Find the solution.

• (0,7) and (0,-3)

• (2,6) and (7,4)

• (3,0) and (7,4)

• (-1,5) and (-3,9)

Determine the number of solutions to this system of equations.

• No solution

• 1 solution

• 2 solutions

• infinite solutions

Determine the number of solutions to this system of equations.

• No solution

• 1 solution

• 2 solutions

• infinite solutions

• A

• B

• C

• D

What are the solutions to this quadratic/ linear system?

• no solution

• (3,0) and (4, 5)

• (0,3) and (4, -5)

• (3,4) and (0,-5)

Solve the system. On your own piece of paper, make sure to also do a graph analysis.

y = x² - x - 90

y = x + 30

• (10, 2) and (-10, 42)

• (12, 42) and (-10, 20)

• (42, 1) and (20, -1)

• (2, 12) and (4, 5)