Welcome to the Algebra 1 Grade Level page.
Get a good introduction to the key topics studied when learning Algebra. Get to know the definition of words such as variable, coefficient and constant, along with finding out how to manipulate and simplify a range of algebraic expressions.
The concepts of Algebra feature in many different branches of Mathematics and Science. Where letters often take the place of numbers in expressions and equations, helping many different types of problems to be solved.
The importance of Algebra is hard to understate, with algebraic concepts being so prevalent in a range of disciplines such as economics and engineering to name but a few.
Becoming proficient at basic Algebra will set someone in good stead for future study and learning in many different directions.
Algebra 1 Grade Level Pages
Basic Algebra Introduction:
– Algebra Basics Introduction, Definitions– Associative, Commutative & Distributive Property in Algebra
– Exponents in Algebra
– Different Exponent/Power Properties
– Adding, Subtracting, Multiplying Algebraic Expressions
– FOIL Method Multiplication
– Dividing Algebraic Expressions
– Difference of Two Cubes and other Multiplication Properties
– Factoring Expressions
– Evaluating Algebraic Expressions
– Solving Equations
– Literal Equations
– Inequalities Introduction
– Cartesian Coordinate System
Exponents and Radicals:
– Negative Exponents– Fraction Exponents & Radical Form
– Factoring Radical Expressions
– Simplifying Radical Form
– Adding, Subtracting Radicals
– Multiplying Radicals, Dividing
– Dividing Radicals, Rationalize Denominator
– Solve Equations with Radicals
Linear Equations:
– Negative Exponents– Fraction Exponents & Radical Form
– Factoring Radical Expressions
– Simplifying Radical Form
– Adding, Subtracting Radicals
– Multiplying Radicals, Dividing
– Dividing Radicals, Rationalize Denominator
– Solve Equations with Radicals
Quadratic Equations:
– Quadratic Equations Introduction– Factoring Quadratics by Grouping
– Solving Quadratics by Factoring
– Solving with the Quadratic Formula
– Discriminant of a Quadratic
– Solving by Completing the Square
– Graphing Quadratics with Completing the Square
– Solving Quadratic Inequalities
Polynomials:
– Polynomials Introduction– Adding and Subtracting Polynomials
– Multiplying Polynomials
– Polynomial Division Box Method Introduction
– Polynomial Division Box Method Examples
– Polynomial Long Division
– Polynomial Long Division Examples
– Synthetic Division of Polynomials
– Rational Expressions
– Simplifying Rational Expressions
– Adding Rational Expressions
– Subtracting Rational Expressions
– Multiplying and Dividing Rational Expressions
– Simplifying Complex Fractions
Functions:
– Functions Introduction– Interval Notation in Math
– Domain of Functions
– Evaluating Functions
– Composition of Functions
– Graph of a Quadratic Function
– Transforming Graphs
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