Solving Systems of Linear-Quadratic Equations

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.11

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)

Tags

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.11

Find the solution:
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)

Tags

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.11

• A
• B
• C
• D

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Determine the solution to the given linear-quadratic function.

• (0, 0)
• (3, 0)
• (2, -3)
• (-3, 2)

Tags

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Solve the system of linear and quadratic equations using substitution:
y = 5
y = 2x² - 16x + 29

• (6, 5) and (2, 5)
• (2, 6)
• (6, 2)
• (5, 6) and (5, 2)

Tags

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.11

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

Which of the following graphs correctly represents:

y=x²

y=-2x+1

• 
• 
• 
• 

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Solve the System Algebraically.

 $y=-\left(x-2\right)^2+4$ 

  $y=-5$  

• (-1,-5)

• (5,-5)

• (-1,-5) and (5,-5)

• (-5,5) 

Tags

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.11

What are the solutions to the graphed system?

• (0,-2) and (3,1)

• (-2,0) and (2,0)

• (0,-2) and (3,1)

• (2,2) and (1,0)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11