Algebra II
Chapter 5 Test (A)
Name:____________
Date:_______
Period:____
No Graphing Calculators can be used on this test!!
Show all your work!
1) From this graph, identify the following:
A) Vertex: ____________________ (+1)
B) Axis of symmetry:____________(+1)
C) Equation in Vertex form: _________________ (+3)
D) Equation in Standard form:__________________ (+3)
2) Graph the following function. Clearly identify the vertex and two
other points.
y  2x 2  4x  3
2. Vertex:_________(+5)
3) Write the equation in vertex form and graph, labeling the vertex and
at least two other points
y  2 x 2  8x  3
3. Vertex Form of Equation:_________(+5)
4) Solve each equation by factoring or taking square roots:
A) 4 x  36  0
2
4. A)_________(+2)
B) x  2 x  15  0
2
B)_________(+3)
2
C) 2 x  13x  15  0
C)_________(+3)
5) Solve by completing the square:
2 x 2  12 x  22  0
5._________(+4)
6) Solve using the quadratic formula:
2
A) 2 x  6 x  3  0
6. A)_________(+5)
2
B) x  15 x  56
B)_________(+3)
7) Find the discriminant of each equation. Describe the type of solution
(real or imaginary) and tell how many there are of each type:
A)
y  x 2  10 x  10
7. A) Discriminant:_________(+3)
Type:__________________
How Many: _______Real
_____Imaginary
B)
y  2 x 2  3x  5
B) Discriminant:_________(+3)
Type:__________________
How Many: _______Real
_____Imaginary
8) Simplify each expression:
A) (1 + 5i)(2 – 2i)
8. A)_________(+2)
B)
 63
B)_________(+2)
9) Find the absolute value:
 3  6i
9. _________(+3)