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
In a 45-45-90 triangle, what is the length of the hypotenuse if one of the legs is 4?
4 square root 2
What is the exact value of cos 30o?
square root 3 divided by 2
What is the distance formula?
the square root of (x2-x1)2 + (y2-y1)2
What are the factors of 30?
1, 2, 3, 5, 6, 10, 15 and 30.
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
In a 30-60-90 triangle, what is the length of the hypotenuse if the short leg is 8?
16
How many sides does an icosagon have?
20
If tanx=(12/5), find cosx.
cosx=5/13
60 is 12% of what?
500
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
Name the center and radius of the following equation of a circle:
(x-4)2 + y2 = 36
center is (4, 0)
radius is 6
How many and what type of solutions does the equation have?
y = x2-2x+8
2 imaginary solutions
What is the formula for volume of a pyramid?
V = (1/3)Bh
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?
1440 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 - perpendicularWhat is the point of intersection for
3x+y=5 and
2x−y=0 ?
(1,2)