Attention Students - This Quiz covers topics for a Chapter 5 test. Students should able to use factoring, completing the square and the quadratic formula to find solutions to quadratic equations.
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Algebra 2
Practice Quiz 268

Click the circle next to the correct response.
Be sure to click the OK button to continue.

Simplify.

1. 
 -5 , +5
 5i
 -5		 2.  ( 5i )2
25i
25
-25
3.  ( 5i + 3 ) - ( 4 - 4i ) =
9i - 1
i - 1
 there are no solutions		 4. ( 5i + 3 )( 4 - 4i ) =
20i + 20
32 + 8i
 there are no solutions
5.  ( 5i + 3 )2 =
  25i + 9
  - 16 + 30i
  there are no solutions

For y = x2 + 10x + 24,
6.  Which is the location of the vertex?
(-5,-1)
(5,99)
  (1/5,14/23)		 7.  Which describes the axis of symmetry?
x = -5
y = -5
(-5,-1)
8.  Which are the solutions to the quadratic?
 x = 4 & 6
  x = -4 & -6
  there are no solutions		 9.  Which are the x-intercepts?
 x = 4 & 6
  x = -4 & -6
  there are no solutions
10.  Where does the quadratic cross the x-axis?
 x = 4 & 6
  x = -4 & -6
  there are no solutions		 11.  Where does the quadratic cross the y-axis?
 x = 24
 it does not cross the y-axis
  y = 24

Answer.
12.  Is (4,-2) a solution for the given linear system?
       2x -  y  = 6
     -x + 3y = 14
maybe
yes
 no		 13.  Given 4x2 = 6x - 2 , how many solutions are there?
1 real solution, 1 imaginary solution
1 solution
 2 solutions
14.  Given 4x2 = 6x - 2 , which are the solutions?
x = 1 & 1/2
x = 1
there are no solutions

Be certain you can find solutions to problems using factoring techniques, completing the square, and applying the quadratic formula.
15.  When given y = 4x2 + 6x + 2, be prepared to explain, in writing, which method you would choose to find the solutions to the quadratic equation and give your reasons why.

Know how to use the discriminant to find the number of solutions to a quadratic equation.
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