![]() One surprisingly effective method uses Reed-Solomon codes, which are built on the same basic algebra that students learn in school. Mathematicians have invented ingenious ways to transmit and store information. This applies to everything from spacecraft design to data transmission: Those messages returning to Earth as a steady stream of 0s and 1s are bound to contain some errors, so you need to be able to identify and correct them without wasting precious time and energy. When you’re landing a rover on Mars 70 million miles away from the nearest service station, you need to maximize efficiency and prepare for the unexpected. It never represents another value.Space exploration requires tremendous precision. For example the number 47 always represents 47 units or 47 multiplied by an unknown number. Numbers are called constants because they constantly have the same value. Instead of keeping the scale balanced with weights, numbers, or constants are used. The idea is that an equation represents a scale such as the one shown on the right. This lesson introduces an important algebraic concept known as the Equation. Algebra is based on the concept of unknown values called variables, unlike arithmetic which is based entirely on known number values. Deriving Trig Identities with Euler’s FormulaĪlgebra is a division of mathematics designed to help solve certain types of problems quicker and easier.Solving Systems of Equations by Substitution Method.Solving Systems of Equations by Matrix Method.Consistent and Inconsistent Systems of Equations.Factorials, Permutations and Combinations.Precalculus Help, Problems, and Solutions.Isolate X – Effects of Cross Multiplication.Choosing the Best Representation of Data.Cumulative Frequency, Percentiles and Quartiles.Statistical Averages – Mean, Mode, Median.Probability Distributions and Random Variables.Rules of Probability and Independent Events.Inequalities and Relationship in a Triangle.Proving Quadrilaterals Are Parallelograms.Angle Properties, Postulates, and Theorems.Subtracting Positive and Negative Numbers.Negative Fractions, Decimals, and Percents.Multiplying Positive and Negative Numbers.Comparing Positive and Negative Numbers.Converting Fractions, Decimals, and Percents.Using Calculus with Algebra and Geometry.Using L’Hopital’s Rule to Evaluate Limits.Integration and Properties of Integrals.Derivative of Lnx (Natural Log) – Calculus Help.Solving Using the Quadratic Formula Worksheet.Solve By Using the Quadratic Equation Lessons.Determining Slope From a Graph Worksheet.Variables With Negative Exponents Worksheet.Simplifying Variables With Negative Exponents Lessons.Simplifying using the FOIL Method Lessons.Simplifying Using the Distributive Property Lesson. ![]() Simplifying Multiple Signs and Solving Worksheet.Simplifying Multiple Positive or Negative Signs Lessons.Negative Exponents in Fractions Worksheet.Simplifying Fractions With Negative Exponents Lesson.Simplifying Exponents of Variables Worksheet.Simplifying Exponents of Variables Lessons.Simplifying Exponents of Numbers Worksheet.Simplifying Exponents of Polynomials Worksheet.Simplifying Using “The Order of Operations” Worksheet.Determining x and y Intercepts From a Graph Worksheet.Determining the Equation of a Line Passing Through Two Points Worksheet.Determining the Equation of a Line From a Graph Worksheet.Finding a Greatest Common Factor Lessons.Factoring a GCF From an Expression Worksheet.Factoring A GCF From an Expression Lesson.Factoring a Difference Between Two Squares Worksheet.Factoring A Difference Between Two Squares Lessons.Solve By Completing the Square Worksheet.Combining Like Terms and Solving Worksheet.Consecutive Integer Word Problem Basics Worksheet.Associative Property of Addition and Multiplication.Fraction / Mixed Number Comparison Calculator.Algebra Help – Calculators, Lessons, and Worksheets.Search Lessons Search for: Math Resources and Math Lessons
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