Unit 8 Quadratic 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

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

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

• intersecting lines

• parallel lines

• skew lines

• one line

Which point is a solution to this system?

• (2, 1)

• (-1,2)

• (-5,-7)

• (0,-4)

Which point is NOT a solution to this system of inequalities?

• (0,0)

• (-4,4)

• (-6,-1)

• (-2, 0)

Using substitution, which of the following equations could be used to solve the system:
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

Tags

CCSS.HSA.REI.C.7

Find the solution(s):
y = x² - 4x + 6
y = x + 2

• (1, 4)
• (-1, 1) and (4, 2)
• (1, 3) and (4, 6)
• (1, 4) and (3, 6)

Tags

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.11

Find the solution(s).

• (-1,7) and (0,5)
• (-4,2) and (-5,8)
• (-2,6) and (10,15)
• (-2,4) and (6,12)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.11

Find the solution(s).

• (3,18) and (-4, 15)
• (5,2) and (5,-9)
• (-4,-4)
• (-4,2)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Find the solution(s).

• (3,18) and (-4, 15)
• (5,2) and (5,-9)
• (-4,-4)
• (-4,2)