Nonlinear Systems and Quadratic Inequalities

The function f(t) = -5t²+20t + 60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground? 

• 4 seconds

• -2 seconds

• 6 seconds

• 9 seconds

What is the initial (starting) height of an object following this path?  h(t) = -16t² +20t + 6

• -16 feet 

• 0 feet

• 20 feet 

• 6 feet 

Determine if the point (2,0) is a solution to the following system:

y=2x - 4

y=x² - 4

• Yes, because it works in one equation.

• Yes, because it works in the both equations.

• No, because it works in neither equation.

• No, because it works in only one equation.

Tags

CCSS.HSA.REI.C.7

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

Identify the solution to the system graphed here.

• (1, 5) and (-4, 0)

• (1, 5) and (-2, 0)

• (1, 5) and (0, -4)

• No solution

Tags

CCSS.HSA.REI.C.7

Identify the solution to the system graphed here.

• (0, 4) and (0, -2)

• (2, -2)

• (0 4)

• No solution

Tags

CCSS.HSA.REI.C.7

Solve Algebraically:

x² + y² -x + 13y + 36 = 0

x + y = -3

• (1, -4), (3, -6)

• (3, -6)

• (1, -4), (-4, -5)

• No Solution

Tags

CCSS.HSA.REI.C.7

Match the system to the graph (solution set is on the left)

• y ≤ 3x   and  

  y ≤ -2x + 4

• y > 3x   and  

  y > -2x + 4

• y < 3x  and

   y > -2x + 3

• y > 3x   and  

  y < -2x + 4

Tags

CCSS.HSA.REI.D.12

Are the points on the line part of the solution set or not?

• Yes, they are part of the solution set

• No, they are NOT part of the solution set

Tags

CCSS.HSA.REI.D.12