of advanced algebra. Definition of algebra noun in Oxford Advanced Learner's Dictionary. I vaguely recall a hardcore math doper saying that algebra is technically the study of polynomials and nothing else, but I think it’s generally accepted to include everything in that list. section begins. Angle of Inclination of a Line. For instance, 12 x 12 or 12 squared is 144, so the square root of 144 is 12. Venn Diagram: A Venn diagram is usually shown as two overlapping circles and is used to compare two sets. The overlapping section contains information that is true of both sides or sets and the non-overlapping portions each represent a set and contain information that is only true of their set. It is also called Introduction to Analysis. Adjoint, Classical. Tree Diagram: Used in probability to show all possible outcomes or combinations of an event. Order of Operations: A set of rules used to solve mathematical problems in the correct order. Slope: Slope shows the steepness or incline of a line and is determined by comparing the positions of two points on the line (usually on a graph). Just for the curious, modern algebra can be very succinctly described as the study of structure and actions that preserve it. In American mathematics education, precalculus, (or Algebra 3 in some areas) an advanced form of secondary school algebra, is a foundational mathematical discipline. The more basic parts of algebra are called elementary algebra; the more abstract parts are called abstract algebra or modern algebra. Area: The two-dimensional space taken up by an object or shape, given in square units. Elementary algebra is generally considered to be essential for any study of mathematics, science, or engineering, as well as such applications as medicine and economics. http://www.washingtonpost.com/wp-dyn/articles/A12403-2005Jan15.html. Unit: A standard quantity used in measurement. ccwaterback’s list is probably a pretty good guide to what you’ll find on the SAT, or at least to what you should be familiar with after three years of high school. Isosceles: A polygon with two sides of equal length. I was thanking my lucky stars (and Mrs. Chan) as I pulled the ability to multiply polynomials out of my ass. If you’re not careful, you could pick up a book called Introduction to Algebra expecting to find “x + 3 = 7” and instead you get groups and rings and fields and Galois theory. Affine Transformation. Line of Symmetry: A line that divides a figure into two equal shapes. The web service Alexandria is granted from Memodata for the Ebay search. From http://www.washingtonpost.com/wp-dyn/articles/A12403-2005Jan15.html. Algebra (from Arabic: الجبر al-jabr, meaning "reunion of broken parts" and "bonesetting" ) is one of the broad parts of mathematics, together with number theory, geometry and analysis. Multiplication: Multiplication is the repeated addition of the same number denoted with the symbol x. Quintic: A polynomial having a degree of 5. Algebra Algebra includes the study of algebraic structures, which are sets and operations defined on these sets satisfying certain axioms. The exercise is relevant to advanced linear algebra in a number of ways. Lettris is a curious tetris-clone game where all the bricks have the same square shape but different content. Factoring: The process of breaking numbers down into all of their factors. Perpendicular: Two lines or line segments intersecting to form a right angle. Degree: The unit of an angle's measure represented with the symbol °. Additive Inverse of a Matrix. Divisor: A number that divides another number into equal parts (outside of the bracket in long division). Obtuse Angle: An angle measuring between 90° and 180°. Example 3 1/2 or 3.5. Quadratic Equation: An equation that can be written with one side equal to 0. To make squares disappear and save space for other squares you have to assemble English words (left, right, up, down) from the falling squares. Bar Graph: A graph that represents data visually using bars of different heights or lengths. Protractor: A semi-circle device used for measuring angles. Rectangle: A parallelogram with four right angles. The group of integers modulo n is written or /. Trinomial: A polynomial with three terms. Logarithm: The power to which a base must be raised to produce a given number. Parabola: An open curve whose points are equidistant from a fixed point called the focus and a fixed straight line called the directrix. Proper Fraction: A fraction whose denominator is greater than its numerator. Capacity: The volume of substance that a container will hold. This information should not be considered complete, up to date, and is not intended to be used in place of a visit, consultation, or advice of a legal, medical, or any other professional. Line Segment: A straight path that has two endpoints, a beginning and an end. On March 12, the SAT will be reborn for the first time in a longer and more difficult form, with an essay and advanced algebra questions. polynomials Stem and Leaf: A graphic organizer used to organize and compare data. A product is obtained by multiplying two or more multiplicands. Geometry studies physical shapes and the object dimensions. Rectangles, squares, and pentagons are just a few examples of polygons. Adjoint, Classical. Normal Distribution: Also known as Gaussian distribution, normal distribution refers to a probability distribution that is reflected across the mean or center of a bell curve. Evaluate: This word means "to calculate the numerical value". Each square carries a letter. Topics include exponential and logarithmic functions, algebra proofs, and 100 tough algebra word problems. Attribute: A characteristic or feature of an object—such as size, shape, color, etc.—that allows it to be grouped. ○ Lettris If nx = a, the logarithm of a, with n as the base, is x. Logarithm is the opposite of exponentiation. A remainder can be expressed as an integer, fraction, or decimal. Share Flipboard Email Print ... A calculator with an advanced screen capable of showing and drawing graphs and other functions. Knot: A closed three-dimensional circle that is embedded and cannot be untangled. Probability: The likelihood of an event happening. Ray: A straight line with only one endpoint that extends infinitely. Face: The flat surfaces on a three-dimensional object.