Aug 1, 2024 · Here is a set of notes used by Paul Dawkins to teach his Algebra course at Lamar University. Included area a review of exponents, radicals, polynomials as well as indepth discussions of solving equations (linear, quadratic, absolute value, exponential, logarithm) and inqualities (polynomial, rational, absolute value), functions (definition, notation, evaluation, …

Oct 9, 2023 · Welcome to my math notes site. Contained in this site are the notes (free and downloadable) that I use to teach Algebra, Calculus (I, II and III) as well as Differential Equations at Lamar University. The notes contain the usual topics that are taught in those courses as well as a few extra topics that I decided to include just because I wanted to.

Introduction to the Class Algebra 1 Powerpoint Quotes Powerpoint Unit 1- Working with Real Numbers 2.1 Ordering Real Numbers 2.2-2.3 Adding and Subtracting Real Numbers 2.5 & 2.7 Multiplying and...

Algebra is just like a puzzle where we start with something like "x − 2 = 4" and we want to end up with something like "x = 6". But instead of saying "obviously x=6", use this neat step-by-step approach: Work out what to remove to get "x = ..." Remove it by doing the opposite (adding is the opposite of subtracting) Do that to both sides; Here ...

Sep 8, 2021 · Algebraic expressions Addition and subtraction Multiplication and division Factorising Notes on factorising a trinomial Quadratic equations Quadratic inequalities Simultaneous equations The nature of the roots 2.1 Algebraic expressions Algebraic expressions are made up of constants, variables and nu...

Master algebra with our free guided notes and comprehensive YouTube videos. Learn equations, inequalities, functions, polynomials, factoring, rational expressions, and more. Strengthen your understanding and boost your confidence in algebra easily with our resources.

Aug 30, 2023 · Section 2.2 : Linear Equations. We’ll start off the solving portion of this chapter by solving linear equations. A linear equation is any equation that can be written in the form

from highschool algebra. Theorem 1.4. Suppose that Ais any abelian group with operation + and iden-tity 0. For any a;b2A, there is exactly one solution to x+ a= b. Proof. By the axioms, there exists an element that we denote by asuch that a+ ( a) = 0. Add bto both sides, and use the laws to obtain (b+ ( a)) + a= b+ ( a+ a) = b+ 0 = b