Algebra
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Tuesday 5th of November
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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
Decimals
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
Equations
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Expression
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Inequality
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Simplify
Factor
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GCF
LCM
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Sample Problem
Simplify
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Sample Problem
Depdendent Variable
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Number of equations to solve:
2
3
4
5
6
7
8
9
Sample Problem
Equ. #1:
Equ. #2:
Equ. #3:
Equ. #4:
Equ. #5:
Equ. #6:
Equ. #7:
Equ. #8:
Equ. #9:
Solve for:
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Sample Problem
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Dependent Variable
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Number of inequalities to solve:
2
3
4
5
6
7
8
9
Sample Problem
Ineq. #1:
Ineq. #2:
Ineq. #3:
Ineq. #4:
Ineq. #5:
Ineq. #6:
Ineq. #7:
Ineq. #8:
Ineq. #9:
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Rules for Exponents
Product rule:
When multiplying like bases, keep the base and add the exponents.
A
^{m}
A
^{n}
= A
^{m+n}
Examples:
X
^{ 7}
X
^{ 5}
= X
^{ 7+5}
= X
^{ 12}
X
^{ -3}
X
^{ 6}
= X
^{ -3+6}
= X
^{ 3}
Quotient Rule:
When diiding like bases, keep the base and subtract the denominator exponent from the numerator exponent.
Examples:
Power Rule:
When raising a power to a power, keep the base and multiply the power.
(A
^{ m}
)
^{ n}
= A
^{ mn}
Example:
(X
^{ 2}
)
^{ 3}
= X
^{ 2*3}
= X
^{ 6}
(AB)
^{ m}
= A
^{ m}
B
^{ m}
(X
^{ 2}
Y
^{ 3}
)
^{ 4}
= X
^{ 2*4}
Y
^{ 3*4}
=X
^{ 8}
Y
^{ 12}
Negatie Exponent Rule
Examples:
Zero Exponents:
Any number (except zero) raised to the zero power is equal to 1.
Examples:
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