Attention - 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 317


Click the circle next to the correct response.
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Solve.

1.  3x2 - 17x + 10 = 0
 0 & 5
 1.5 & 5
 5
2.  x2 - 8x = -16
8 & -8
-8
8
3.  8x - 1 = 16x2
0.25
4
 there are no solutions
4. x2 = 49
7
± 7
 there are no solutions
5.  3(x – 9)2 = 243
  9
  0 & 18
  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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