WorksheetsFINAL TEST Alg II
Total questions: 25
Worksheet time: 2hrs 32mins
Name
Class
Date
1.
The minimum of a quadratic function is
a)
The lowest point (vertex) on a graph when a parabola opens up; the point where the graph changes from decreasing to increasing
b)
The highest point (vertex) on a graph when a parabola opens down; the point where the graph changes from increasing to decreasing
2.
What is the orange line called?
a)
Line of Solutions
b)
Roots
c)
Vertex
d)
Axis of Symmetry
3.
The point in which a graph hits the x-axis is know as the _____
a)
Solution
b)
x-intercept
c)
Root
d)
All answers are correct
4.
the turning point of the parabola
a)
Parabola
b)
Axis of Symmetry
c)
Vertex
d)
Solutions
5.
What do we call the graph of a quadratic function?
a)
parabola
b)
linear
c)
cubic
d)
sinusoidal
6.
A parabola has a vertex at (-3,2). Where is the axis of symmetry?
a)
y = -2
b)
x = 3
c)
x = -3
d)
y = 2
7.
The height of a water balloon that is launched into the air is given by h(t) = -5t2 + 40t + 2. From what height was the balloon released?
a)
2 meters
b)
5 meters
c)
40 meters
d)
20 meters
8.
x2−7x−18=0
a)
(x+9)(x-2)
b)
(x-9)(x-2)
c)
(x+9)(x+2)
d)
(x-9)(x+2)
9.
7x2+9x
a)
7x(9x)
b)
7x(x+9)
c)
x(7x+9)
d)
7(x+9)
10.
Is this a perfect square trinomial?
x2 - 20x + 100
x2 - 20x + 100
a)
(x+10)2
b)
(x-10)2
c)
(x+20)2
d)
(x+10)(x-10)
11.
What do you do to the b value to correctly complete the square?
a)
square it
b)
divide it by 2 and square the result
c)
divide it by 2 and take the square root of the result
d)
divide it by 2 only
12.
When factoring
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
a)
4
b)
2
c)
8
d)
20
13.
When do you use the plus or minus symbol?
±
±
a)
After taking the square root of both sides
b)
After adding the square to both sides
c)
After taking half of b
d)
After setting the equation equal to zero
14.
Complete the Square
x2 + 6x = 5
x2 + 6x = 5
a)
(x + 3)2 = 5
b)
(x + 6)2 = 9
c)
(x + 3)2 = 14
d)
(x + 6)2 = 14
15.
Determine the values of
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
a)
a = 4, b = -8, c = 3
b)
a = 4, b =-8, c =-3
c)
a = 4, b = 8, c = 3
d)
a = 4, b = 8, c = -3
16.
The quadratic equation can be used to solve quadratic equations that cannot be factored.
a)
True
b)
False
17.
The discriminant is
a)
aX2 + bX + c
b)
b - 4ac
c)
b2 - 4ac
d)
b2 + 4ac
18.
Simplify √-48
a)
4i
b)
-4√3
c)
4i√3
d)
12i
19.
If the discriminant equals 0, then the quadratic has:
a)
1 Real Solution
b)
2 Real Solutions
c)
Half a Solution
d)
2 Imaginary Solutions
20.
If the discriminant is positive, then the quadratic has:
a)
1 Real Solution
b)
2 Real Solutions
c)
Half a Solution
d)
2 Imaginary Solution
21.
Solve using the quadratic formula.
2x2 - 9x - 35 = 0
2x2 - 9x - 35 = 0
a)
x = 7/2, x = -6
b)
x = -5/2, x =5
c)
x = -3/7, x =6
d)
x = -5/2, x = 7
22.
.How many zeros does this parabola have?
a)
3
b)
2
c)
0
d)
1
23.
What is the "c" value in the equation..
a)
4
b)
18
c)
0
d)
-18
24.
What should you do first in solving this equation?
x2 + 6x - 13 = 3
x2 + 6x - 13 = 3
a)
Get factored form
b)
Write down: a=1, b=6, c=-13
c)
Make it equal 0 by subtracting 3 on each side
d)
Type it all in a calculator.
25.
Does the equation open or or down?
Y = -3x2 +7x - 2
Y = -3x2 +7x - 2
a)
up
b)
down
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