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Scientific Notation
Notation and Symbols
Linear Equations and Inequalities in One Variable
Graphing Equations in Three Variables
What the Standard Form of a Quadratic can tell you about the graph
Simplifying Radical Expressions Containing One Term
Adding and Subtracting Fractions
Multiplying Radical Expressions
Adding and Subtracting Fractions
Multiplying and Dividing With Square Roots
Graphing Linear Inequalities
Absolute Value Function
Real Numbers and the Real Line
Monomial Factors
Raising an Exponential Expression to a Power
Rational Exponents
Multiplying Two Fractions Whose Numerators Are Both 1
Multiplying Rational Expressions
Building Up the Denominator
Adding and Subtracting Decimals
Solving Quadratic Equations
Scientific Notation
Like Radical Terms
Graphing Parabolas
Subtracting Reverses
Solving Linear Equations
Dividing Rational Expressions
Complex Numbers
Solving Linear Inequalities
Working with Fractions
Graphing Linear Equations
Simplifying Expressions That Contain Negative Exponents
Rationalizing the Denominator
Estimating Sums and Differences of Mixed Numbers
Algebraic Fractions
Simplifying Rational Expressions
Linear Equations
Dividing Complex Numbers
Simplifying Square Roots That Contain Variables
Simplifying Radicals Involving Variables
Compound Inequalities
Factoring Special Quadratic Polynomials
Simplifying Complex Fractions
Rules for Exponents
Finding Logarithms
Multiplying Polynomials
Using Coordinates to Find Slope
Variables and Expressions
Dividing Radicals
Using Proportions and Cross
Solving Equations with Radicals and Exponents
Natural Logs
The Addition Method
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Solving Linear Equations

A linear equation in one variable is any equation that can be written in the form ax + b = 0 (a and b are real numbers and a0). A linear equation has exactly one solution.



1. Remove symbols of grouping, combine like terms, or reduce fractions on one or both sides of of the equation.

2. Add (or subtract) the same quantity to both sides of the equation.

3. Multiply (or divide) both sides of the equation by the same nonzero quantity.

4. Interchange the two sides of the equation.

Examole 1

5X - 10 = 0 add 10 to both sides

5X = 10 divide both sides by 5

X = 2

Example 2

6(X - 1) + 4 = 3(7X + 1) remove parenthesis

6X - 6 + 4 = 21X + 3 simplify

6X - 2 = 21X + 3 add 2 to both sides

6X = 21X + 5 subtract 21X

-15X = 5 divide by -15 X

X =5/-15 reduce fraction


SOLVING AN EQUATION INVOLVING FRACTIONAL EXPRESSIONS: Find the least common denominator of all terms in the equation and multiply every term by this LCD. This procedure clears the equation of fractions.

x = -2 is a false solution since it will cause you to have a zero denominator. Therefore, there is no solution to this equation.

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