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| Beginning
Algebra Contents B |
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Properties of Real Numbers
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Exponentiation
- Powers or Indices
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Integral exponentiation - integer exponents
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Square or the second power
(potency)
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The square of a product and quotient
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The
rules for the manipulation of powers - Fundamental laws of exponents
(Index laws) |
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Adding
and subtracting same powers |
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Multiplying like bases
with exponents |
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Dividing like bases
with exponents |
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Zero as an exponent |
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Power rule for exponents |
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A product raised to an exponent |
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A quotient raised to an exponent |
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Negative exponents |
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Simplifying an exponential expression |
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Scientific notation |
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Quadratic
equation
x2
=
a,
a
> 0 |
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Square root |
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Properties
of square roots |
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Adding,
subtracting, multiplying and dividing square roots |
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Rationalizing a denominator |
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The
graph of the quadratic function
f
(x)
= x2 |
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Translation of the source quadratic function in the direction of
the y-axis, |
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Quadratic
function of the form f
(x)
= x2 + y0 |
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The principal square root function
- the inverse of the square of x (quadratic) function |
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Definition
of the inverse function |
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The
graph of the principal square root function |
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Translation
of the principal square root function in the direction of
the x-axis |
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Algebraic Expressions
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Terms,
variables, constants - coefficients |
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Monomial, binomial, trinomial, . . . , polynomial
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Simplifying algebraic
expressions |
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Evaluating algebraic expressions |
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Expanding
algebraic expression by removing parentheses (i.e. brackets) |
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Factoring algebraic
expressions, methods |
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Factoring and
expanding algebraic
expressions, rules
for transforming algebraic
expressions |
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Ratios and Proportions
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Ratio
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Proportion
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Ratios
and proportion properties
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Direct proportion
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Cross product, means and extremes
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Proportionality
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Graphical representation of
proportionality
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Proportion practice problems, use
of the rule of three
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Inverse proportion
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Graphical representation of inverse
proportionality
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Coefficient of inverse
proportionality
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Inverse proportion practice
problems |
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Percentage,
Percent
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Percent, decimal number and
fraction conversions |
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Percent - base, rate and portion (part or
amount)
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Basic percent formulas |
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Percent problems
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Percent
increase or decrease
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| Beginning
Algebra Contents |
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| Copyright
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