Manipulating Equations
Exponent Rules
Quadratics
Solve for x
Random
100
Solve for x in the following equation:
y/(2x)=a
x=y/(2a)
100
Simplify:
(2^0xx2^3)/2^5
1/4
100
What is used to find the number of solutions of a quadratic?
b^2-4ac Discriminant
100
Solve for x-intercept(s)
f(x)=-3|x-5|-12
No real solution
100
What is Mr. Valenzuela's favorite color? (100 POINT FOR EACH RIGHT ANSWER. -100 FOR EACH WRONG ANSWER.)
Teal and Orange
200
The density d of an object can be found by dividing the mass m of the object by its volume V. What is the equation that gives the mass m, in terms of d and V?
m=d/V
200
(xy^2z^3)^2/(x^2y^3z^9)^0
x^2y^4z^6
200
What is the quadratic formula?
x=((-b+-sqrt(b^2-4ac))/(2a))
200
What is/are the possible values for x:
-2(x-5)> -(x+12)
x < -2
200
Scotophobia is the fear of what?
Darkness
300
The glass above can hold a maximum volume of 473 cubic centimeters, which is approximately 16 fluid ounces. What is the value of k in centimeters? Round to the nearest hundredth.
k=10.11 cm
300
(a^3b^-2)/(ab^-4)
a^2b^2
300
Solve for x:
x^2+14x-120
x= 6 or x = -20
300
x^2-5x-24 Solve for x.
x = -3 and x = 8
300
What international event is celebrated every April 22nd?
Earth Day
400
R=L/(L+S)
A Facebook site uses the formula above to calculate how much the public “likes” their page. The review, R, is based on the number of “likes,” L, and the S, “sad face” emojis. Which of the following expresses the number of likes in terms of the other variables?
L=(RS)/(1-R)
400
(2^3xx2^5)/64
4
400
How many solutions are in the function
f(x)=3x^2-14x+3
2 solutions
400
What is the distance between the solutions of the absolute value function?
f(x)=-3|x+5|+3
2
400
How many teeth are there in an adult's mouth?
32
500
h=-16t^2+vt+k
The equation above gives the height, h, in feet, of a ball t seconds after it is thrown straight up with an initial speed of v feet per second from a height of k feet. What gives v in terms of h, t, and k?
v=(h-k)/(t)+16t
500
2^(k-2)xx8=16 What is the value of k?
3
500
Solve for x.
3x^2+5x+1=0
x=(-5+-sqrt(13))/6
500
Given the quadratic equation, what is the value of x?
f(x)=-56x^2+48x-16
No real solutions.
500
Which class period is Mr. Valenzuela's favorite? (Think about it.)
None. I hate all of you.