Algebra
Please excuse my dear Aunt Sally
What is Order of Operations:
Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
Sum of Angles = 180 degrees
What is a Triangle?
a(b+c) = ab + ac
What is the Distributive Property?
Pi r2
What is the Area of a Circle?
The middle number of a set of numbers arrayed from least to greatest, or the middle two numbers in an even set of numbers.
What is the Median?
a - b = a + (-b)
What is Algebraic Subtraction?
The segment joining the centers of Bases.
What is the Axis?
For any Real Number 'a', the Multiplicative Inverse is 1/a.
What is the Reciprocal?
The smallest number that can be divided evenly by each of a group of specified numbers.
What is the Least Common Multiple?
Based on the study of outcomes that have an equal chance of occurring.
What is Probability?
A Term where the Coefficients are real numbers, X is a variable and the Exponents are whole numbers.
What is a Polynomial?
A prism whose bases are closed curves, not polygons.
What is a Cylinder?
If a = b, then a+c = b+c
What is Additive Property of Equality?
a2 + b2 = c2 where 'c' is the hypotenuse of a Right triangle, and 'a' and 'b' are the sides.
What is the Pythagorean Theorem?
The Distance from Zero of any real number, represented by a Positive Number.
What is Absolute Value?
If 'p' and 'q' are real numbers and if p x q = 0, then p = 0 or q = 0 or p and q = 0
What is the Zero Factor Theorem?
Equal to the Perimeter of a base times height.
What is Lateral Surface area of a prism/cylinder?
The Denominator and the Numerator of a Fraction may be multiplied by the same non-zero quantity without changing the value of the fraction.
What is the Denominator-Numerator Same-Quantity Rule?
4/3(pi)r3
What is the Volume of a sphere?
When very large or very small numbers are changed to the form of a number between 1 and 10 times 10 with a positive or negative exponent.
What is Scientific Notation?
'Like Signs' yield a Positive Number, 'Unlike Signs' yield a Negative Number.
What is Multiplication of Signed Numbers?
Equal to 1/3 the area of the base times the height.
What is the Volume of a Pyramid/Cone?
If two expressions, 'a' and 'b' are of equal value (a=b), then 'a' may replace 'b' or 'b' may replace 'a' in any equation or expression without changing its value or solution set.
What is the Substitution Axiom?
(Xm)n = Xmn (x not equal to 0)
What is the Power Rule for Exponents?
When each of the terms in a binomial is a perfect square separated by subtraction, take the square root of each of them.
What is the Difference of two Squares?