[Problem Set 1.7] Systems

Solve the System:

 $y\ =\ -x^2+3$  

 $y-2x\ =\ 0$  

• (-6, -3) and (2, 1)
  

• (-3, -6) and (1, 2)

• (-3, -2) and (1, -6)

• (-3, 2) and (1, 6)

Solve the System:

 $y\ =\ \left(x+3\right)^2-1$  

 $y\ =\ 2x+5$  

• (-3, -1) and (-1, 3)

• (-1, -3) and (3, -1)

• (-3, -1), (-1, 3), (-1, -3), and (3, -1)

• No solution! It is an Inconsistent System

Solve the System:

 $3x^2+y^2\ =\ 21$ 
 $4x^2-2y^2\ =\ -2$   

• (2, 3) and (2, -3)

• (-2, 3) and (-2, -3)

• (2, 3), (2, -3), (-2, 3) and (-2, -3)

• No solution! It is an Inconsistent System

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

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

• A
• B
• C
• D

Tags

CCSS.HSA.REI.C.7

Two equations were graphed on the set of axes below.  Which point is a solution to the system of equations ?

• (0,3)
• (5,0)
• (2,-3)
• (8,9)

Tags

CCSS.HSA.REI.C.7

Solve the system:

y = 5

y = 2x² - 16x + 29

• (6, 5) and (2, 5)

• (2, 6)

• (6, 2)

• (5, 6) and (5, 2)

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

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