Quadratic Functions and Systems

Solve the equation:
4x²+2x - 6 = 0

• x = 1 & -1.5

• x = -1 & 1.5

• x = (-2 ±√92)/8

• x = (-2 ± √100)/8

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)

Determine the solution to the given linear-quadratic function.

• (0, 0)

• (3, 0)

• (2, -3)

• (-3, 2)

Two equations were graphed on the set of axes below.  Which point is a solution to the system of equations ?

• (0,3)

• (5,0)

• (2,-3)

• (8,9)

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

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

• 
• 
• 
• 

• √3
• ±√3
• -3
• No real solution

Find the solution.

• (3,18) and (-4, 15)

• (5,2) and (5,-9)

• (0,0) and (0,0)

• (-4,2) and (-4,2)