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100
Solve
3(2x − 5) − 4x + 8 = −1
6x - 15 - 4x + 8 = -1
2x - 7 = -1
2x = 6
x = 3
100
What is an equation in point-slope
form of the line that passes
through (−1, −4) and (2, 5)?
FYI- this type of problem on the Final is way easier because of multiple choice!
y + 4 = 3(x + 1)
or
y - 5 = 3(x - 2)
100
-7y^2(-2y^4+y^2-1)
14y^6-7y^4+7y^2
100
Factor
36x^2-9
(6x + 3)(6x - 3)
100
Name the two 7th-grade Leadership Lane recipients.
JJ & Isabella
200
Solve
5x + 2 − 2(x − 1) = 3x + 4
5x + 2 - 2x + 2 = 3x + 4
3x + 4 = 3x + 4
4 = 4
All real numbers
200
For which values of A, B, and C
will Ax + By = C be a vertical line
through the point (9, 3)?
The equation for a vertical line through (9,3) is x = 9.
Thus,
A=1, b=0 and c=9
200
(2y-6)^2
(2y-6)(2y-6)
4y^2-24y+36
200
Simplify
sqrt(128)
sqrt(64)*sqrt(2)=
8sqrt(2)
200
What continues to be the most subscribed to and listened to podcast in the U.S?
The Joe Rogan Experience
300
3=abs(6-x)
6 - x = 3 6 - x = -3
-x = -3 or -x = -9
x = 3 or x = 9
300
Solve using elimination
10x – 8y = 4
–10x + 6y = –18
When you add the 2 equations you get:
-2y = -14
y = 7
Then plug in y = 7
10x - 56 = 4
10x = 60
x = 6
300
Factor
x^2-3x-10
Factors of -10 that add to -3
(x + 2)(x - 5)
300
Tia invests $2,500 at an interest
rate of 4%, compounded quarterly.
How much is the investment worth
at the end of 5 years?
A=2500(1+0.04/4)^(4*5)
$3,050.48
300
Who plays Glenda in the movie version of Wicked?
Ariana Grande
400
Solve
x^2-2x-15=0
Factor: (x + 3)(x - 5) = 0
x + 3 = 0 or x - 5 = 0
x = -3 or x = 5
400
Solve the system of equations using substitution:
4x + 3y = -8
y = 8x – 12
Plug in 8x - 12 for y
4x + 3(8x - 12) = -8
4x + 24x - 36 = -8
28x = 28
x = 1 (then plug in to find y)
x = 1 and y = -4
400
Factor the perfect square trinomial
x^2-18x+81
(x - 9)(x - 9) or
(x-9)^2
400
Which Senior is going to the University of Florida next year?
Cam Smith
400
Who is our new Head of School?
Dr. Chapman
500
Solve by factoring (or quadratic formula)
7x^2+16x=-4
First, add 4 on both sides to get a zero.
Then, either AC method or guess & check to factor.
AC= 28 (so factors of 28 that add to 16: 14&2)
7x^2+14x+2x+4
Then group and factor the GCF
7x(x+2)+2(x+2)
Then factor out the (x+2)
(x+2)(7x+2)=0
Thus, x = -2 or -2/7
500
What is the system of inequalities shown?
y < -2 and y < x - 3
500
What are the coordinates of the vertex of
y=x^2+2x+8
-b/(2a)
is used to find the x value of the vertex
x=-2/(2*1)=-1
Then, plug x=-1 into the function to find the corresponding y.
f(-1)=(-1)^2+2(-1)+8
1 - 2 + 8 = 7
Thus (-1 , 7)
500
Use the quadratic formula to solve (round to the nearest hundredth)
2x^2+3x-4=0
x = -2.35 and 0.85
500
The character Garrett Garrison in The Minecraft Movie has what nickname?
The Garbage Man