Solving Quadratic Linear Systems

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(s).

• (-1,7) and (0,5)
• (-4,2) and (-5,8)
• (-2,6) and (10,15)
• (-2,4) and (6,12)

Find the solution(s).

• (3,18) and (-4, 15)
• (5,2) and (5,-9)
• (-4,-4)
• (-4,2)

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

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

Solve the following system. On your own piece of paper perform a graph analysis.

y = x² - 2x - 6

y = 4x + 10

• (4, -2) and (8, -2)

• (2, 8) and (2, 0)

• (8, 0) and (-6, 42)

• (8, 42) and (-2, 2)

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)

Find the solution.

• (2,3) and (3,4)
• (-3,-15) and (4,-8)
• (-3,10) and (8,4)
• (-8,3) and (-4,10)

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

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• 
• 

Determine the discriminant:

x² - 9x + 21 = 0

• 3

• -3

• 13

• -13