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Worksheets2-19-2019 Math 2
Total questions: 85
Worksheet time: 1hrs 20mins
Name
Class
Date
1.
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
2.
To solve by completing the square, what needs to be moved in this equation?
x2 = 9 - 4x
x2 = 9 - 4x
a)
the -4x
b)
the 9
c)
the x2
3.
What is the first step to solving THIS equation by completing the square?
a2 + 10a + 21 = 0
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
4.
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
5.
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
6.
Solve by completing the square.
x2 +12x = 5
x2 +12x = 5
a)
X = 6 + √41 or 6 − √41
b)
X= 35 or 47
c)
X = −6 + √41 or −6 − √41
d)
X = √35 or √47
7.
Solve the following equation by completing the square:
n2 - 2n - 3 = 0
n2 - 2n - 3 = 0
a)
{3 and-1}
b)
{4 and -4}
c)
{5 and -3}
d)
{8 and -7}
8.
Complete the square for
x2 + 12x + ____
x2 + 12x + ____
a)
x2 + 12x + 144
b)
x2 + 12x + 36
c)
x2 + 12x - 36
d)
x2 + +12x - 144
9.
Complete the square.
x2 + 6x + ____
x2 + 6x + ____
a)
x2 + 6x + 9
b)
x2 + 6x - 36
c)
x2 + 6x + 36
d)
x2 + 6x - 9
10.
Complete the square.
x2 + 14x + ____
x2 + 14x + ____
a)
x2 + 14x - 196
b)
x2 + 14x + 49
c)
x2 + 14x - 49
d)
x2 + 14x + 196
11.
Complete the Square
x2 + 10x + ____
x2 + 10x + ____
a)
x2 + 10x - 100
b)
x2 + 10x + 100
c)
x2 + 10x - 25
d)
x2 + 10x + 25
12.
Solve by completing the square. Round.
x2 -4x = 5
x2 -4x = 5
a)
11 and -7
b)
1 and 3
c)
1.73 and -1.73
d)
5 and -1
13.
Solve by completing the square.
y2 + 10y = -9
y2 + 10y = -9
a)
1 and -12
b)
-1 and -9
c)
1 and -9
d)
1 and -1
14.
Given the perfect square trinomial, identify the equivalent expression
x2-18x+81
a)
(x-18)2
b)
(x-9)2
c)
(x+81)2
d)
(x+9)2
15.
Given the perfect square trinomial, identify the equivalent expression
x2+14x+49
a)
(x+14)2
b)
(x+49)2
c)
(x-7)2
d)
(x+7)2
16.
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
17.
What is this formula?
a)
This is the speed of light formula.
b)
This is the quadratic formula.
c)
This is the zero product property.
d)
This is scary.
18.
Identify the 'b' value: y = 16x2 -8x -24
a)
16
b)
-8
c)
8
d)
-24
19.
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.
20.
Solve 8x2 - 6x + 1 = 0
a)
No Solution
b)
0 or 1
c)
-0.5 or -0.25
d)
0.25 or 0.5
21.
The discriminant is
a)
ax2 + bx + c
b)
b - 4ac
c)
b2 - 4ac
d)
b2 + 4ac
22.
How many solutions are there if the discriminant is positive.
a)
0
b)
1
c)
2
d)
Infinite
23.
What does the discriminant tell us?
a)
The maximum or minimum
b)
The y-intercept
c)
The number and type of solutions
d)
The axis of symmetry
24.
If the discriminant is 13, how many solutions and of what type?
a)
1 real solution
b)
2 solutions
c)
3 rational solutions
d)
2 complex solutions
25.
Factor:
2n2-8n3
2n2-8n3
a)
2n2(n-4n2)
b)
2n2(1-4n)
c)
2n3(10-8n2)
d)
3n(1-4n)
26.
Factor
x2 + 9x - 36
x2 + 9x - 36
a)
(x + 12)(x - 3)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 9)(x - 4)
27.
Factor
n2 + 16n + 63
n2 + 16n + 63
a)
(n-7)(n+4)
b)
(n+7)(n-9)
c)
(n-3)(n-10)
d)
(n+7)(n+9)
28.
Factor
k2 - 2k - 24
k2 - 2k - 24
a)
(k+4)(k-6)
b)
(k+4)(k+6)
c)
(k+6)(k-1)
d)
(k-4)(k+6)
29.
Factor
3v2 - 4v - 7
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v+1)(v-10)
30.
Factor
3a2 + 4a + 1
3a2 + 4a + 1
a)
(7a-10)(a-8)
b)
Not factorable
c)
(3a+1)(a+1)
d)
(3a-1)(a-1)
31.
Factor:
4h² - 17h + 4
4h² - 17h + 4
a)
(2h - 2)²
b)
4(h + 4)(h + 1)
c)
(2h - 2)(2h + 2)
d)
(h - 4)(4h - 1)
32.
What is the first question you ask yourself when factoring a polynomial?
a)
How many terms does it have?
b)
Is there a GCF?
c)
What strategy should I use?
d)
Why do I have to learn this?!?!?!
33.
Factor
81m2 - 1
81m2 - 1
a)
not factorable
b)
(m-9)(m+9)
c)
9m(9m-1)
d)
(9m-1)(9m+1)
34.
x2 - 25
a)
( x + 5 ) ( x - 5 )
b)
( x - 5 ) ( x - 5 )
c)
( x + 5 ) ( x + 5 )
d)
Prime
35.
9x2 - 49y2
a)
( 3x + 7y) (3x + 7y)
b)
( 3x - 7y) (3x + 7y)
c)
( 3x - 7y) (3x - 7y)
d)
Prime
36.
Factor
x2 + 9x - 36
x2 + 9x - 36
a)
(x + 12)(x - 3)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 9)(x - 4)
37.
Factor
n2 + 5n - 6
n2 + 5n - 6
a)
(n - 2)(n - 3)
b)
(n - 1)(n + 6)
c)
(n + 1)(n - 6)
d)
(n + 2)(n - 3)
38.
Factor:
x2 + 7x - 30
x2 + 7x - 30
a)
(x + 10)(x - 7)
b)
(x - 10)(x + 3)
c)
(x + 10)(x + 3)
d)
(x + 10)(x - 3)
39.
Factor:
x2 + 0x - 144
x2 + 0x - 144
a)
(x + 12)2
b)
(x - 12)(x + 12)
c)
(x - 12)2
d)
122
40.
Factor
r2 -16r + 60
r2 -16r + 60
a)
(r - 15)(r + 4)
b)
(r - 6)(r + 10)
c)
(r - 6)(r - 10)
d)
(r +30)(r - 2)
41.
Factor
x2 -16x + 48
x2 -16x + 48
a)
(x - 12)(x - 4)
b)
(x + 6)(x - 8)
c)
(x + 12)(x - 4)
d)
(x -16)(x - 3)
42.
Factor:
p2 - 14p
p2 - 14p
a)
p(1 - 14)
b)
2p(p - 7)
c)
p2(1-14)
d)
p(p - 14)
43.
Factor:
v2 + 3v - 88
v2 + 3v - 88
a)
(v + 11)(v - 8)
b)
(v + 22)(v - 4)
c)
(v + 8)(v - 11)
d)
(v - 22)(v + 4)
44.
Factor:
x2 -15x + 36
x2 -15x + 36
a)
(x - 18)(x + 2)
b)
(x - 12)(x - 3)
c)
(x - 12)(x + 3)
d)
(x + 18)(x - 2)
45.
What do you call a polynomial that cannot be factored?
a)
FOIL
b)
Simplified
c)
Prime
d)
Proper
46.
What is the GCF of the trinomial?
3x2 - 9x -120
3x2 - 9x -120
a)
3
b)
2
c)
6
d)
9
47.
Factor
x2 +17x - 60
x2 +17x - 60
a)
(x - 20)(x + 3)
b)
(x + 12)(x - 5)
c)
(x - 12)(x + 5)
d)
(x + 20)(x - 3)
48.
Factor:
x2 + 4xy + 4y2
x2 + 4xy + 4y2
a)
(x + y)(4x + 4y)
b)
(x + 2y)(x + 2y)
c)
(2x + y)(2x + y)
d)
(x + 2)(x + 2)
49.
Which is another way of correctly expressing
(x - 3)(x - 3)?
(x - 3)(x - 3)?
a)
(x2 - 32)
b)
(x2 - 3)
c)
(x + 3)(x - 3)
d)
(x - 3)2
50.
Factor completely:
3x2 + 18x +15
Hint: Factor GCF first.
3x2 + 18x +15
Hint: Factor GCF first.
a)
3(x2 + 6x + 5)
b)
(x + 5)(x + 1)
c)
3(x + 5)(x + 1)
d)
Prime
51.
Name this college
a)
Alabama Crimson Tide
b)
Arkansas
c)
Florida
52.
Name this college
a)
Tennessee
b)
TSU
c)
Tallahasse
53.
Name this college
a)
Notre Dame
b)
Pittsburg
c)
Purdue
54.
Name this college
a)
Alabama
b)
Auburn
c)
Arkansas
55.
Name this college
a)
Texas
b)
Texas Tech
c)
TSU
56.
Name this college
a)
Michagan
b)
Minasota
c)
Michagan St.
57.
Name the brand
a)
Costa Coffee
b)
Cafe Nero
c)
Starbucks
d)
Wild Bean Cafe
58.
Which restaurant has this logo?
a)
McDonalds
b)
Taco Bell
c)
Arby's
d)
Burger King
59.
Which social media has this logo?
a)
Snapchat
b)
Facebook
c)
Pinterest
d)
Instagram
60.
Which social media has this logo?
a)
Twitter
b)
Facebook
c)
Instagram
d)
Snapchat
61.
Which social media has this logo?
a)
Twitter
b)
Snapchat
c)
Facebook
d)
Music.ly
62.
What event has this logo?
a)
Superbowl
b)
World Series
c)
Olympics
d)
March Madness
63.
Which company uses this logo?
a)
Android
b)
Amazon
c)
Apple
d)
AT&T
64.
Which brand has this logo?
a)
Nike
b)
Adidas
c)
Under Armor
d)
Vans
65.
Which company uses this logo?
a)
Android
b)
Samsung
c)
Apple
d)
LG
66.
Which company uses this logo?
a)
Yahoo
b)
Apple
c)
Great Clips
d)
Google
67.
Which brand uses this logo?
a)
Bears
b)
Beats
c)
Battlestar Galactica
d)
Baskin Robbins
68.
Which social media uses this logo?
a)
Youtube
b)
Press Play
c)
Instagram
d)
Vine
69.
Match the logo
a)
Dallas Stars
b)
Minnesota North Stars
c)
Dallas Cowboys
d)
Minnesota Wild
70.
52
a)
16
b)
25
c)
20
d)
10
71.
22
a)
2
b)
4
c)
5
d)
6
72.
32
a)
6
b)
12
c)
9
d)
10
73.
82
a)
68
b)
64
c)
16
d)
56
74.
92
a)
18
b)
81
c)
90
d)
64
75.
112
a)
132
b)
144
c)
121
d)
22
76.
72
a)
50
b)
49
c)
14
d)
48
77.
102
a)
100
b)
20
c)
200
d)
10
78.
√ 16
a)
8
b)
3
c)
4
d)
6
79.
What is the square root of 25?
a)
5
b)
12
c)
3
d)
6
80.
What do we call √ ?
a)
radicand
b)
radical symbol
c)
cube root
d)
index
81.
A perfect square is when a whole number is multiplied by itself?
a)
FALSE
b)
TRUE
82.
Between which two whole numbers is the
√5?
√5?
a)
1 and 2
b)
2 and 3
c)
3 and 4
d)
4 and 5
83.
125
a)
Is a perfect square.
b)
Is not a perfect square.
84.
What is positive and negative square root of 25?
a)
5
b)
-5
c)
25 and -25
d)
5 and -5
85.
-√196
a)
-15
b)
-14
c)
-12
d)
14
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