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)
What is the difference between an arithmetic sequence and a geometric sequence?
arithmetic is add or subtract
geometric is multiply or divide
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
On your calculator, plug the following numbers, in no particular order, into a 3x4 matrix: 5, 12, 6, 98, 3, -4, 7, -2, 0, 25, 4, 3.
SHOW on CALCULATOR
What is the pattern of i?
i = square root of -1
i2 = -1
i3 = -i
i4 = 1
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
How can we tell that two matrices can or cannot be multiplied?
dimensions must match (column of first matrix and row of second matrix)
ex: 2x3 and 3x8 CAN be multiplied
ex: 2x3 and 8x2 CANNOT be multiplied
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
A circular running track is being built in a fenced-in athletic field 100 ft wide and 150 ft long. If a border of 10 ft is needed between the outside edge of the track and the fence, what is the radius of the largest track that can be built?
40
Provide an example of the HOOK METHOD
SHOW on PAPER
What is the ONLY trig identity you need to know?
sin2x + cos2x = 1