Quadratic-Linear Systems

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

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

Tags

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.11

What is the solution to the linear-quadratic system graphed in the picture.

• (0, 0)

• (3, 0)

• (2, -3)

• (-3, 2)

Tags

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.11

A system that contains one linear function and one quadratic function can have 0, 1, or 2 solutions.

• True

• False

• Cannot be determined

• Nobody cares

Tags

CCSS.HSA.REI.C.7

Solve by elimination

5x+6y= -10

3x-2y= -6

• (-2,0)

• (0,-2)

• (2,0)

• (0,2)

What is the solution to this system?
y = 2x + 1
y = 4x - 1

• (1,3)
• (-1,-3)
• (-1,3)
• (3,1)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

Solve the following system:

3x + 4y + 5z = -3

5x - 2y - 3z = 25

9x - y + 4z = -12

• (3, -7, -8)

• (3, 7, -8)

• (3, -7, 8)

• No Solution

Solve for x.

• x = -2

• x = 2

• x = -¹⁰/₃

• x = ¹³/₆

If a system of two linear equations has no solution, what do the graphs look like?

• intersecting lines

• parallel lines

• skew lines

• one line

What is the solution for a linear system that contains parallel lines?

• One solution

• No solution

• Infinitely Many solutions

What is the solution for a linear system if the lines are the same line?

• One solution
• No solution
• Infinitely Many solutions