Number of Solutions of Quadratic-Linear Systems

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

Solve the system of linear and quadratic equations:

y = 5

y = 2x² - 16x + 29

• (6, 5) and (2, 5)

• (2, 6)

• (6, 2)

• (5, 6) and (5, 2)

Which of the following graphs correctly represents:

y=x²

y=-2x+1

• 
• 
• 
• 

Find the solution(s).

• (3,18) and (-4, 15)

• (5,2) and (5,-9)

• (-4,-4)

• (-4,2)

Given the system of equations: y = x² + 3x - 5 -x + y = 3 When x = -4, what is the value of y?

• -1

• 1

• 7

• -33

How many solutions does this system of equations have?

• one solution

• two solutions

• three solutions

• no solutions

Determine the solution to the given linear-quadratic function.

• (0, 0)

• (3, 0)

• (2, -3)

• (-3, 2)

The system of a linear and a quadratic function can have the following number of solutions, EXCEPT

• No solution

• 1 solution

• 2 solutions

• more than 2 solutions

• (1, 3) and (3, 3)

• (2, 3) and (4, 3)

• (3, 3) and (5, 3)

• (0, 3) and (6, 3)