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Test 2 Review (Quadratics Part B)

Total questions: 69

Worksheet time: 17hrs 15mins

Name
Class
Date
1.

What is the axis of symmetry for the following equation?

y=4x2-8x+9

a)

x = 5

b)

x=1

c)

y = 1

d)

y = 5

2.

Which of the following are other words for zeros? (Choose ALL that apply)

a)

x-intercepts

b)

roots

c)

vertex

d)

solutions

e)

y-intercepts

3.

Select the statements that are true about the graph

a)

The graph has a minimum

b)

This graph has a maximum.

c)

The solution of the quadratic function is represented by the graph is (-1, -4)

d)

The y-intercept is (0,-3)

e)

The roots of this quadratic function is -3 and 1

4.

Find the axis of symmetry.

 y=−2x2−20x+1y=-2x^2-20x+1  

a)

 x=5x=5  

b)

 x=−1x=-1  

c)

 x=1x=1  

d)

 x=−5x=-5  

5.
The graph below describes a ball that was kicked. Which of the following is a true statement describing the graph? 
a)
The ball was kicked from 500 centimeters from the ground and it traveled for 4 seconds.
b)
The ball was kicked from the ground and it was in the air for 4 seconds. 
c)
The ball had a maximum height of 2000 centimeters and it was in the air for a total of 2 seconds. 
d)
The ball had a maximum height of 1000 centimeters and it was in the air for 4 seconds. 
6.
Which of the following describes the graph of f(x)= x2 - 2x -15.
a)
The graph has a maximum and has the x-intercepts of (-3, 0) and (5, 0)
b)
The graph has a minimum and has the x-intercepts of (-3, 0) and (5, 0)
c)
The graph has a maximum and has the x-intercepts of (3, 0) and (-5, 0)
d)
The graph has a minimum and has the x-intercepts of (3, 0) and (-5, 0)
7.
A rocket was launched from a balcony 10 feet from the ground. The rocket modeled the equation h(t)= -t2 + 6t + 10, where t represent time in seconds and h(t) represents the height in feet. What is the maximum height the rocket will reach before it starts to go back down? 
a)
10 feet 
b)
19 feet
c)
13 feet
d)
16 feet 
8.

Select the statements that are true about this Graph

a)

This graph has a minimum

b)

This graph has a Maximum

c)

This graph has zeros of -3 and -1

d)

The vertex is located at (-2, 2)

e)

The graph has y-intercepts at (-3,0) and (-1, 0)

9.

What is the maximum value of the function shown?

a)

4

b)

3

c)

1

d)

-3

10.

After how many seconds would you reach the water if you went cliff diving and the following equation represents your path?

h(t) = -16t2 + 8t + 24

a)

8 seconds

b)

1 second

c)

1.5 seconds

d)

1/4 second

11.
Which of the following is vertex form of a quadratic equation?
a)
y = a(x - p)(x - q)
b)
y = a(x - h)2 - k
c)
y = a(x - h)2 + k
d)
y = a(x + h)2 + k
12.
A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
 h = -16t2 + 64t + 960.
When did the ball hit the ground?
a)
10 seconds
b)
2 seconds
c)
5 seconds
d)
7 seconds
13.
If a ball if thrown into the air is represented by the function
h(t) = -16t2+80t, where t represents the time in seconds and h(t) is the height of the ball in feet. Find the time it will take to reach its maximum height. 
a)
8 mins
b)
2.5 seconds
c)
5 seconds
d)
604 seconds
14.
What is the vertex of y=x2+4x+3?
a)
(2,1)
b)
(-2,1)
c)
(0,0)
d)
(-2,-1)
15.
What is the vertex of the quadratic function: y=1/2(x-3)2+8?
a)
(3,8)
b)
(-3,-8)
c)
(-3,8)
d)
(3,-8)
16.

The highest point on a parabola is (2,5). What is the equation of the axis of symmetry?

a)

2

b)

5

c)

x=2x=2

d)

x=5x=5

17.

Find the y-intercept.

 y=−3x2+6x−7y=-3x^2+6x-7  

a)

-7

b)

(0, -7)

c)

(0, 7)

d)

7

18.
Where is the AoS (Axis of Symmetry) for 
y = 2x2+4x+2
a)
x = 2
b)
x = 1
c)
x = -1
d)
x = 4
19.

Find the discriminant.

 y=3x2−5x−8y=3x^2-5x-8  

a)

121

b)

-121

c)

-71

d)

71

20.

Use the discriminant to determine the number and type of solutions.

 y=3x2−7x+5y=3x^2-7x+5  

a)

1 complex solution

b)

1 real solution

c)

2 complex solutions

d)

2 real solutions

21.

Solve the equation using any method.

 6x2+21x=126x^2+21x=12  

a)

 x={−12,4}x=\left\{-\frac{1}{2},4\right\}  

b)

 x={3,−4}x=\left\{3,-4\right\}  

c)

 x={12,−4}x=\left\{\frac{1}{2},-4\right\}  

d)

 x={−2,4}x=\left\{-2,4\right\}  

22.
Find the vertex of the quadratic:
y = -2x2 + 4x + 3
a)
(0, 3)
b)
(-1, 5)
c)
(1, 5)
d)
(1, -5)
23.
What is the y-intercept of the equation
y = 2x2+8x+3
a)
(0,3)
b)
(3,0)
c)
(0,2)
d)
y=8
24.
Is this point a max or min?
a)
max
b)
min
25.
Complete the Square
x2 + 10x + ____
a)
x2 + 10x - 100
b)
x2 + 10x + 100
c)
x2 + 10x - 25
d)
x2 + 10x + 25
26.
Does the equation open or or down? 
Y = -3x2 +7x - 2
a)
up
b)
down
27.
What is the vertex of the graph?
a)
(2, 4)
b)
(3, -1)
c)
(0, 8)
d)
(4, 2)
28.
What is the vertex of y= x2 - 8x + 14 ?
a)
(2, 4)
b)
(-4, -2)
c)
(4, -2)
d)
(-2, 4)
29.
Determine the values of
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
30.

What does

x=-b/2a find?

a)

vertex

b)

y-intercept

c)

slope

d)

axis of symmetry

31.
What is one of the solutions to this equation?
(2x - 1)2 = 49
a)
7
b)
-7
c)
-4
d)
-3
32.
Solve the following equation by completing the square:
n2 - 2n - 3 = 0
a)
{3 and-1}
b)
{4 and -4}
c)
{5 and -3}
d)
{8 and -7}
33.
Solve by completing the square:
k2 − 12k + 23 = 0
a)
{6 + √13, 6 - √13}
b)
{-6 + √13, -6 - √13}
c)
{6 + √59, 6 - √59}
d)
{-6 + √59, -6 - √59}
34.

Which graph represents the quadratic function f(x)=x2+8x+15f\left(x\right)=x^2+8x+15 ? 

a)
b)
c)
d)
35.

Use the quadratic formula to find the solutions for

y = -x2 - 5x + 12

a)

No Real Solution

b)
c)
d)
36.
What is the first step to solving THIS equation by completing the square?
a2 + 10a + 21 = 0
a)
Set the equation equal to zero
b)
Divide 10 by 2 and add the result to both sides
c)
Add a2 and 10a together
d)
Subtract the 21
37.

Which of the following are all true about the graph of this quadratic equation?

a)

The axis of symmetry is x = 5.

b)

The roots are {2,8}.

c)

The vertex is (2,8).

d)

The a-value is positive.

e)

The zeroes are {5,-9}

38.
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
39.
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
40.
To solve by completing the square, what needs to be moved in this equation?
x2 = 9 - 4x
a)
the -4x
b)
the 9
c)
the x2
41.
Solve the following equation by completing the square:
n2 - 2n - 3 = 0
a)
{3, -1}
b)
{4, -4}
c)
{5, -3}
d)
{8, -7}
42.
To solve by completing the square, what needs to be moved in this equation?
x2 = 9 - 4x
a)
the -4x
b)
the 9
c)
the x2
43.
Solve the following equation by completing the square:
n2 = 18n + 40
a)
{11, -11}
b)
{16, 2}
c)
{20, -2}
d)
{10, -4}
44.
Solve by completing the square:
k2 − 12k + 23 = 0
a)
{6 + √13, 6 - √13}
b)
{-6 + √13, -6 - √13}
c)
{6 + √59, 6 - √59}
d)
{-6 + √59, -6 - √59}
45.
Is this a perfect square trinomial?
x2 + 18x + 9
a)
Yes
b)
No
46.
Solve by completing the square:
v2 + 6v − 59 = 0
a)
{-5 + 5√2, -5 - 5√2}
b)
{5 + 5√2, 5 - 5√2}
c)
{-3 + 2√17, -3 - 2√17}
d)
{3 + 2√17, 3 - 2√17}
47.

Complete the square for

x2 + 12x + ____

(find the missing number in the blank)

a)

x2 + 12x + 144

b)

x2 + 12x + 36

c)

x2 + 12x - 36

d)

x2 + +12x - 144

48.
Find the missing value "c" to create a perfect square trinomial:
x2 + 26x + ___ 
a)
13
b)
136
c)
169
d)
26
49.

Complete the square for

x2 - 14x + ____

(find the missing value that goes in the blank)

a)

- 196

b)

49

c)

- 49

d)

28

50.

Complete the square for

x2 + 6x + ____

(find the missing value that goes in the blank)

a)

9

b)

12

c)

36

d)

- 9

51.
What value of c would make this a perfect sqaure trinomial?
x2 +8x + c
a)
4
b)
16
c)
64
d)
-16
52.
What value of c would make this a perfect square trinomial?
x2 + 2x + c
a)
2
b)
4
c)
-2
d)
1
53.
What value of c would make this a perfect square trinomial?
x2 - 12x + c
a)
36
b)
24
c)
144
d)
-36
54.
Identify the 'a' value: y = 16x2 -8x -24
a)
16
b)
8
c)
-8
d)
-24
55.
Identify the 'b' value: y = 16x2 -8x -24
a)
16
b)
-8
c)
8
d)
-24
56.

Determine the values of 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

57.

What is this formula?

a)

This is the standard formula.

b)

This is the quadratic formula.

c)

This is the square root formula.

d)

This is the Pythagorean formula

58.
4ac would equal:  y = 2x2 -x -3
a)
-12
b)
8
c)
-24
d)
-1
59.
Solve Using the Quadratic Formula
 x2 + 4x - 40 = -8
a)
-10 & -4
b)
-4 & 10
c)
-8 & 4
d)
8 & -4
60.

Solve using the quadratic formula...

9x2 = 4 + 7x

a)
b)
c)
d)

No solution

61.
What is the name of the imaginary line that cuts a parabola in half and goes through the vertex?
a)
the middle
b)
axis of symmetry
c)
minimum
d)
standard form
62.
Does the equation open or or down? 
Y = -3x2 +7x - 2
a)
up
b)
down
63.
Identify the 'c' value: y = 16x2 -8x -24
a)
16
b)
-8
c)
24
d)
-24
64.
b2  would equal: y = 2x2 -x -3
a)
2
b)
-1
c)
1
d)
-3
65.
b2 - 4ac would equal: y = 2x2 -x -3
a)
25
b)
-23
c)
-25
d)
0
66.
What form is this equation in?
 2x2+4x-3=0
a)
general form
b)
vertex form
c)
factored form
d)
none of these
67.
Determine the values of
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
68.
Solve using the quadratic formula.
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
69.
Solve Using the Quadratic Formula
 x2 + 4x - 40 = -8
a)
-10 & -4
b)
-4 & 10
c)
-8 & 4
d)
8 & -4

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