Free Algebra
Miscellaneous Equations
Operations with Fractions
Undefined Rational Expressions
Writing Equations for Lines Using Sequences
Intersections of Lines and Conics
Graphing Linear Equations
Solving Equations with Log Terms and Other Terms
Quadratic Expresions - Complete Squares
Adding and Subtracting Fractions with Like Denominators
Multiplying a Fraction by a Whole Number
Solving Equations with Log Terms and Other Terms
Solving Quadratic Equations by Factoring
Locating the Solutions of the Quadratic Equation
Properties of Exponents
Solving Equations with Log Terms on Each Side
Graphs of Trigonometric Functions
Estimating Products and Quotients of Mixed Numbers
The circle
Adding Polynomials
Adding Fractions with Unlike Denominators
Factoring Polynomials
Linear Equations
Powers of Ten
Straight Lines
Dividing With Fractions
Multiplication Property of Equality
Rationalizing Denominators
Multiplying And Dividing Fractions
Distance Between Points on a Number Line
Solving Proportions Using Cross Multiplication
Using the Quadratic Formula
Scientific Notation
Imaginary Numbers
Values of Symbols for Which Fractions are Undefined
Graphing Equations in Three Variables
Writing Fractions as Decimals
Solving an Equation with Two Radical Terms
Solving Linear Systems of Equations by Elimination
Factoring Trinomials
Positive Rational Exponents
Adding and Subtracting Fractions
Negative Integer Exponents
Rise and Run
Multiplying Square Roots
Multiplying Polynomials
Solving Systems of Linear Inequalities
Multiplication Property of Radicals
A Quadratic within a Quadratic
Graphing a Linear Equation
Calculations with Hundreds and Thousands
Multiplication Property of Square and Cube  Roots
Solving Equations with One Log Term
The Cartesian Coordinate Plane
Equivalent Fractions
Adding and Subtracting Square Roots
Solving Systems of Equations
Exponent Laws
Solving Quadratic Equations
Factoring Trinomials
Solving a System of Three Linear Equations by Elimination
Factoring Expressions
Adding and Subtracting Fractions
The parabola
Computations with Scientific Notation
Quadratic Equations
Finding the Greatest Common Factor
Introduction to Fractions
Simplifying Radical Expressions Containing One Term
Polynomial Equations
Graphing and Intercepts
The Number Line
Adding and Subtracting Rational Expressions with Different Denominators
Scientific Notation vs Standard Notation
Factoring by Grouping
Extraneous Roots
Variables and Expressions
Linera Equations
Integers and Substitutions
Squares and Square Roots
Adding and Subtracting Rational Expressions with Different Denominators
Solving Linear Inequalities
Expansion of a Product of Binomials
Powers and Exponents
Finding The Greatest Common Factor
Quadratic Functions
The Intercepts of a Parabola
Solving Equations Containing Rational Expressions
Subtracting Polynomials
Solving Equations
Adding Fractions with Unlike Denominators
Solving Systems of Equations by Substitution
Solving Equations
Product and Quotient of Functions
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The Cartesian Coordinate Plane

  • It is vitally important that a person be able to read graphs. Lots of information is presented in newspapers and other reports in graphical form. Some of the most common types of graphs to be used are bar graphs, pie charts, and line graphs.

– Bar graphs

– Pie charts (circle graphs)

– Line graphs.

  • The system used in most mathematics for graphing is called the “Cartesian” (or Rectangular) coordinate plane.

– The plane consists of a vertical axis and a horizontal axis. (Plural for axis is “axes”.) Each axis is a number line. The lines are perpendicular to each other and cross each other at 0.

– The origin is the point where the two lines cross.

– The position of a point in the coordinate plane is given by an ordered pair (so-called because order is important).

  • The first coordinate gives the horizontal position of the point. When unknown, this is usually (but not always) represented by x.
  • The second coordinate gives the vertical position of the point. When unknown, this is usually (but not always) represented by y . Plot some points and read coord’s, then give ordered pairs and plot the points.
  • Stay away from locking yourself into thinking x and y .

– The coordinate plane is broken into 4 quadrants, starting in the upper right and moving counterclockwise around the origin.

Quadrant I is where both coordinates are positive.

Quadrant II is where the first coordinate is negative and the second coordinate is positive.

Quadrant III is where both coordinates are negative.

Quadrant IV is where the first coordinate is positive and the second coordinate is negative.

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