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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Integers and Substitutions

Commutative properties a + b = b+ a

· Addition and Subtraction

o If the largest number

  • 2 + 4 = 6
  • -6 -4 = 10

o Use your math number sense in order to deal with questions with only 2 terms Look at the terms and find the largest value. Whatever sign is of that term will be the value of the answer(ie positive or negative )

o For questions with multiple terms move one term at a time or a more risky way is to group terms…problems with this is of replacing the signs properly


· When terms have multiply Signs

o There is a difference of a subtraction sign and a negation sign.

o An equation cannot have two signs ( + , - ) side-by-side. We must change the signs so that there is only one sign between them. There are some simple rules that we must follow

o Two minus’s become a plus

o Two plus’s become a plus

o One minus and one plus becomes a minus

  • Ex - 20 - (-5) = -20 + 5 = -15
  • Ex 7 + (+11) = 18
  • Ex -4 - (-7) = -4 + 7 = 3

o This can also be done while using a number line


· Multiplying and Dividing

o A negative times a negative gives a positive, a positive times a positive gives a positive, while a negative times a positive gives a negative. If they are both the same then positive, but if they are different then negative. If they are an even number of negatives then it will be positive, but if there are an odd number of negatives, then it will be negative.

o After the operation(s) if there is an even number of negative signs the answer is positive (or if all positive no worries)

o if there is an odd number of negative signs then the answer is negative



· The act of replacing an unknown with a known value.

o 5x 2 - 7y when x is 2 and y is 7

o when we replace an unknown with a value we put the new quantity in with brackets. This way we can show others what values we have replaced.

o Once all unknowns are replaced with given information we follow normal BEDMAS rules.

· Sometimes only some of the variables are accounted for. So we only replace those that we know. We cannot replace or get rid of variables.




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