Systems of Equations Quadratics

How many solutions does this system of equations have?

• one solution

• two solutions

• no solutions

• All of the above

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 ordered pairs are solutions to the system of equations shown on the graph below? Select all that apply.

• (-3,1)

• (-3,5)

• (0,-1)

• (1,-3)

Determine the number of solutions to this system of equations.

• No solution

• 1 solution

• 2 solutions

• infinite solutions

• A
• B
• C
• D

Find the solution.

• (2,3) and (3,4)

• (-3,-15) and (4,-8)

• (-3,10) and (8,4)

• (-8,3) and (-4,10)

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

What are the solutions to the system:
y = x² + 3x - 5
y = x + 3

• (-4, 2) and (-1, 5)

• (-4, -1) and (2, 5)

• (2, -1 and (-4, 5)

• (-4, 1) and (2, -1)

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)

Determine if the point (-3,-16) is a solution to the following system: y = 3x - 7 y = x² + 2x - 9

• 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.