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Sunday 16th of June
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Roots - Radicals 1
Graph of a Line
Sum of the Roots of a Quadratic
Writing Linear Equations Using Slope and Point
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Simplifying Expressions with Negative Exponents
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Solving Quadratic Equations
Parent and Family Graphs
Collecting Like Terms
nth Roots
Power of a Quotient Property of Exponents
Adding and Subtracting Fractions
Solving Linear Systems of Equations by Elimination
The Quadratic Formula
Fractions and Mixed Numbers
Solving Rational Equations
Multiplying Special Binomials
Rounding Numbers
Factoring by Grouping
Polar Form of a Complex Number
Solving Quadratic Equations
Simplifying Complex Fractions
Common Logs
Operations on Signed Numbers
Multiplying Fractions in General
Dividing Polynomials
Higher Degrees and Variable Exponents
Solving Quadratic Inequalities with a Sign Graph
Writing a Rational Expression in Lowest Terms
Solving Quadratic Inequalities with a Sign Graph
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The Square of a Binomial
Properties of Negative Exponents
Inverse Functions
Rotating an Ellipse
Multiplying Numbers
Linear Equations
Solving Equations with One Log Term
Combining Operations
The Ellipse
Straight Lines
Graphing Inequalities in Two Variables
Solving Trigonometric Equations
Adding and Subtracting Fractions
Simple Trinomials as Products of Binomials
Ratios and Proportions
Solving Equations
Multiplying and Dividing Fractions 2
Rational Numbers
Difference of Two Squares
Factoring Polynomials by Grouping
Solving Equations That Contain Rational Expressions
Solving Quadratic Equations
Dividing and Subtracting Rational Expressions
Square Roots and Real Numbers
Order of Operations
Solving Nonlinear Equations by Substitution
The Distance and Midpoint Formulas
Linear Equations
Graphing Using x- and y- Intercepts
Properties of Exponents
Solving Quadratic Equations
Solving One-Step Equations Using Algebra
Relatively Prime Numbers
Solving a Quadratic Inequality with Two Solutions
Operations on Radicals
Factoring a Difference of Two Squares
Straight Lines
Solving Quadratic Equations by Factoring
Graphing Logarithmic Functions
Simplifying Expressions Involving Variables
Adding Integers
Factoring Completely General Quadratic Trinomials
Using Patterns to Multiply Two Binomials
Adding and Subtracting Rational Expressions With Unlike Denominators
Rational Exponents
Horizontal and Vertical Lines
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Dividing and Subtracting Rational Expressions

Lowest common denominators

What is the LCD for the following: 8,4,6

8 - 2 * 2 * 2

4 - 2 * 2

6 - 2 * 3

what is common from all three? three 2’s are common from each with a 2 left over, so the LCD is 2 * 2 * 2 * 3 = 24

what about

5a - 5 * a

2a 2 - 2 * a * a

a 3 - a * a * a

LCD 5 * 2 * a * a * a = 10a 3

the other way of thinking about it is to decide what can I do to each term so they look alike?


Adding and subtracting with monomial denominators

4/5a - 3/2a 2 + 1/a 3

The LCD is 10a 3.

With that information we know what the denominator is going to be. Now what do we have to do to each term in order from them to equal 10a 3?

from here we can add or subtract the numerators at will.

the final solution is:

the final solution must also include the RESTRICTIONS.

Restrictions are the values that the denominator can not take(values which will make it zero). In this case the only values it cannot take are when a is equal to zero.


Common binomial factors


2m-4 2(m-2)

3m-6 3(m-2)

LCD is then 2 * 3 * (m-2)

the restrictions on m are m cannot be 2.


Trinomial factors

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