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Real
Numbers |
The set of real
numbers |
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Rational numbers |
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Decimal
representation of rational numbers or fractions
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Expanded
form of decimal number, decimal fractions
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Terminating decimals
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Recurring
decimals (Infinite decimals, period) |
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Purely
recurring decimals |
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Mixed
recurring decimals
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Converting decimal number to a
fraction |
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Converting
terminating decimal to a fraction |
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Converting
the purely recurring decimal to a fraction |
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Converting
the mixed recurring decimal to a fraction |
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Exponential
or scientific notation of decimal numbers
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Converting
from a number to scientific notation |
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Converting
from scientific notation to a decimal number |
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Irrational numbers |
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Rationalizing
a denominator |
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The
Real Number Line, and Relations |
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Inequalities of real
numbers |
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Relations,
less than and greater than |
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Interval
definition and notation |
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Closed
and open intervals (unbounded
intervals) |
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Distance
and absolute value |
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Properties of absolute
value |
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Properties
of the Real Numbers |
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Properties of
exponents |
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The
rules for powers (or exponents) |
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Simplifying
an exponential expression |
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Order
of Operations |
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Absolute
Value Equations |
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Solving absolute
value equations |
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Linear
Inequalities
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Solving inequalities |
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Properties of
inequalities |
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Examples of solving
single linear inequalities |
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Solving compound
(double) inequalities |
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Absolute
Value Inequalities |
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Solving linear
inequalities with absolute value |
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Examples of solving
linear inequalities with absolute value |
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Quadratic
Equation x2
= a,
a
> 0 |
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Radicals
(roots) |
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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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Quadratic
equation
x2
= a,
a
>
0 |
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The
Principal Square Root Function - the inverse of the square of
x
(or 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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Radicals
(roots) and/or Exponentiation with Fractional (rational)
Exponent
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Rules and properties of radicals
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Rules and properties of radicals
and/or fractional exponents
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Simplifying radical expressions
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Operations
on radical expressions |
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Adding, subtracting and multiplying radicals
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Rationalizing a denominator
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Radicals
and/or fractional (rational) exponents |
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Rational
Expressions
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Simplification of rational expressions, reducing to lowest
terms
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Addition and subtraction of
rational expressions
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Multiplication
and division of rational expressions
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Solving complex rational
expressions
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Imaginary
and Complex Numbers |
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Imaginary numbers
basic definitions |
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Imaginary unit |
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Complex Numbers |
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Real and imaginary
parts |
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The complex plane |
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The set of all complex
numbers C |
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Absolute value,
modulus of a complex number |
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Complex conjugates |
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Addition
and subtraction of complex numbers |
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Multiplication and
division of complex numbers |
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Polar
or Trigonometric Notation of Complex Numbers |
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Multiplication and division of complex numbers in the polar form |
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Exponentiation
and root extraction of complex numbers in the polar form |
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Powers and roots of
complex numbers, use of de Moivre’s formulas |
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Euler’s formula,
relationship between trigonometric functions and the complex exponential
function |
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© 2004 - 2020, Nabla Ltd. All rights reserved. |
