Solving Linear and Quadratic Systems

How many solutions does this system of equations have?

• one solution

• two solutions

• no solutions

• All of the above

How many solutions does this system of equations have?

• one solution

• two solutions

• three solutions

• no solutions

How many solutions does this system of equations have?

• one solution

• two solutions

• no solution

• infinitely many solutions

Graph the following equations:

y=2x-1

y=x²

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Graph the following equations:

y = - 1

y = x² - 2

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Solve the system of Equations:

y= 3

y= x² - 4x + 7

• (2,3) and (4,3)

• (3,2) and (3,4)

• Only (-2,3)

• Only (2,3)

Solve by Elimination:

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 by Elimination:

y = x² - 4x + 6

y = x + 2

• (3, 1) and (6, 4)

• (-1, 1) and (4, 2)

• (1, 3) and (4, 6)

• (1, 4) and (3, 6)

Solve by Substitution:

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)

Which of the following equations could be used to solve:
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