CP Algebra II 11/18/15
Solving Quadratics Practice
1.
2.
Name: ____________________
Given x 2  10x  24  0.
a.
Solve by factoring.
c.
Solve by using the quadratic formula.
b.
Solve by completing the square.
Determine the number and type of solutions each quadratic will have. Justify your response.
a.
0  2x 2  1
b.
0  x 2  6x  9
c.
0  2x 2  2x  5
d.
0  2 x  3  4
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
2
3.
2
There exists a standard form equation ( y  ax  bx  c ) that matches this graph. Determine
appropriate values for a, b and c.
4.
Solve each quadratic using the most efficient method possible.
a.
7x 2  4x  3  0
b.
3x 2  27  0
5.
c.
x 2  3x  1  0
d.
2x 2  x  9
e.
3x 2  8  2x
f.
6x 2  7x  9  11x  9
An object is launched at 19.6 meters per second from a 58.8 meter tall platform. The equation for the
height h (in meters) at time t (in seconds) after launch is h(t )  4.9t 2  19.6t  58.8 .
a.
When does the object strike the ground?
b.
What is the maximum height of the object?