Solving Linear-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

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

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

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

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

Tags

CCSS.HSA.REI.C.7

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.

• (0,7) and (0,-3)
• (2,6) and (7,4)
• (3,0) and (7,4)
• (-1,5) and (-3,9)

Tags

CCSS.HSA.REI.C.7

How many solutions does this system of equations have?

• one solution

• two solutions

• no solution

• infinitely many solutions

Tags

CCSS.HSA.REI.C.7

How many solutions does this system of equations have?

• one solution

• two solutions

• no solutions

• All of the above

Tags

CCSS.HSA.REI.C.7