Practice Page
Directions: Grab paper and pencil. Answer the following questions pertaining to quadratic inequalities. Check your answers when you are finished with each question.
1.
Which choice is the solution to the inequality:
x2 + 2x - 15 < 0 ?
       Choose:
 
-3 < x < 5
 -5 < x < 3
  x < -5 or x > 3 x < -3 or x > 5

 

 

2.
Which choice is the solution to the inequality:
x2 - 4x - 5 < 0 ?
ponder2
       Choose:
 
{x | -1 < x < 5}
 {x | x < -1}
  {x | -5 < x < 1} {x | x < -1 or x > 5}

 

 

3.
Which choice is the solution to the inequality:
-x2 + 10x - 16 < 0 ?
       Choose:
 
(-∞,2)(8,∞)
 (-∞,2][8,∞)
  (2, 8) [2, 8]

 

 

4.
Which choice is the solution to the inequality:
9x2 + 6x + 1 < 0 ?
ponder1
       Choose:
 
x < -1/3
 x = -1/3
  x > -1/3 no solution

 

 

5.
Which inequality's solution is shown by this graph?
       quadPrac1
ponder7
       Choose:
 
x2 + 3x > 0
x2 - 3x > 0
  x2 + 3x < 0 x2 - 3x < 0

 

 

6.
Which graph represents the inequality:   y ge x2 - x - 6 ?
 
       Choose:
 
qimage4
 qimage3
  qimage2 qimage1

 

 

7.
Which inequality is graphed at the right?
quadPracGraph4
       Choose:
 
y < -x2 - 2x + 3
  y > x2 - 2x - 3
  y le -x2 - 2x + 3
  y ge x2 - 2x - 3

 

 

8.
Which choice is the solution to the inequality:
x2 + 9 > 0 ?
       Choose:
 
x < 3
 all real numbers
  x > -3 no solution

 

 

9.
a.) Graph the inequality y < x2 - 7x + 10 ?
b.) Is the point (-4,-8) in the solution set?
c.) Is the boundary line drawn solid or dashed?
Explain.
ponder5

 

 

10.
A tennis ball is hit into the air. The height of the ball, h(t), in feet, at time t, in seconds, is modeled by the equation h(t) = -16t2 + 64t + 4. Determine the interval of time when the height of the ball is greater than or equal to 52 feet?

ponder6

 

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