Formulas
What is the formula to find slope?
rise/run = (y2-y1)/(x2-x1)
What is the order of operations?
PEMDAS
You go out to lunch with your friends. You get to the restaurant and find 4 options for appetizers, 3 options for main course, 8 options for sides, and 2 options for dessert. How many different meal combinations can you make, assuming a meal consists of 1 appetizer, 1 main course, 1 side, and 1 dessert?
192
What is the formula for area of a trapezoid?
A = ((b1+b2)/2) x (h)
360 degrees is equivalent to _____ radians.
2pi
What is the midpoint formula?
((x1+x2)/2), ((y1+y2)/2)
Solve for m.
(x(2m-3))3=x21
m=5
Solve for x:
4(x-2) - 3x = x + 2
No solution
Draw and label a 45-45-90 triangle.
x
x
x root 2
Using only sine, cosine, and tangent.....what is csc(x) equivalent to?
1/(sin(x))
What is the distance formula?
the square root of (x2-x1)2 + (y2-y1)2
What is the difference between factors and multiples?
factors divide into THAT number
multiples are divisible by THAT number
You solve a system of equations and your final answer looks like this: 5=5.
What does that mean?
all real numbers, the two lines are the same
DOUBLE JEOPARDY!!!!!
Draw and label a 30-60-90 triangle.
x
x root 3
2x
The period and amplitude of the function
y=-5sin((9pi/2)*x)
A=5
P=1/9
If tanx=(10/3), find cosx.
cosx=3/(109)1/2
30 is .07% of what?
.021
A pet sitter knows that her client's five-digit alarm code contains 2, 3, 1, 7, and 8. She cannot remember the order of the first four digits, but knows that the last digit is 7. If she randomly guesses the order of the first four digits, what is the probability that she enters the correct alarm code on her first attempt?
1/24
DOUBLE JEOPARDY!!!!
Name the center and radius of the following equation of a circle:
(x-4)2 + y2 = 52
center is (4, 0)
radius is 2 square root 13
Does the graph of y=(x+1)/(x2-2x-8) have any asymptotes?
Horizontal: x=0
Vertical: x=4, x=-2
What is the generic formula for "volume" of any 3-dimensional shape?
Volume = (area of base) x (height)
DOUBLE JEOPARDY!!!!
What is the difference between rational and irrational numbers?
RATIOnal numbers can be changed into a ratio or fraction
In order to clean her aquarium, Rana must remove half of the water. The aquarium measures 24 inches long, 12 inches wide, and 10 inches deep. The aquarium is currently full. What volume of water, in cubic inches, must Rana remove?
1140 cubic inches
Looking only at the equations of two lines, these rules tell us whether the lines are parallel or perpendicular.
Same slope - parallel
Negative reciprocal slope - perpendicularLine p has the equation y=3x. The distance between line p and line q is 3. The lines are parallel, what is the equation of line q?
y=3x-3