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1Adding and Subtracting Integers
2Multiplying and Dividing Integers
3Operations with Decimals
4Adding and Subtracting Fractions
5Multiplying and Dividing Fractions
6Introduction to Variables and Expressions
7Coordinates, Quadrants, and Transformations
8Number System
9Set Theory
10Solving Linear Equations
11Introduction to Relations and Functions
12Linear Functions
- 12.1Distance formula:
- 12.2Midpoint formula:
- 12.3Slope equation:
- 12.4Slope intercept form: y = mx + b
- 12.5General form: Ax + By + C = 0
- 12.6Point-slope form:
- 12.7Rate of change
- 12.8Graphing linear functions using table of values
- 12.9Graphing linear functions using x- and y-intercepts
- 12.10Graphing from slope-intercept form y=mx+b
- 12.11Graphing linear functions using a single point and slope
- 12.12Word problems of graphing linear functions
- 12.13Parallel and perpendicular lines in linear functions
- 12.14Applications of linear relations
- 12.1Distance formula:
13Linear Equations
- 13.1Introduction to linear equations
- 13.2Introduction to nonlinear equations
- 13.3Special case of linear equations: Horizontal lines
- 13.4Special case of linear equations: Vertical lines
- 13.5Parallel line equation
- 13.6Perpendicular line equation
- 13.7Combination of both parallel and perpendicular line equations
- 13.8Applications of linear equations
- 13.1Introduction to linear equations
14Absolute Value
15Systems of Linear Equations
- 15.1Solving systems of linear equations by graphing
- 15.2Using elimination method to solve systems of equations
- 15.3Using substitution method to solve systems of equations
- 15.4Solving 3 variable systems of equations by substitution
- 15.5Solving 3 variable systems of equations by elimination
- 15.6Solving 3 variable systems of equations with no or infinite solutions
- 15.7Word problems relating 3 variable systems of equations
- 15.8Solving linear systems using Cramer's Rule
- 15.9Solving linear systems using 2 x 2 inverse matrices
- 15.1Solving systems of linear equations by graphing
16Inequalities in One Variable
17Inequalities in Two Variables
18Functions
19Exponents
- 19.1Exponents: Product rule (a^x)(a^y) = a^(x+y)
- 19.2Exponents: Division rule (a^x / a^y) = a^(x-y)
- 19.3Exponents: Power rule (a^x)^y = a^(x * y)
- 19.4Exponents: Negative exponents
- 19.5Exponents: Zero exponent: a^0 = 1
- 19.6Exponents: Rational exponents
- 19.7Solving exponential equations using exponent rules
- 19.8Scientific notation
- 19.1Exponents: Product rule (a^x)(a^y) = a^(x+y)
20Operations with Polynomials
21Factoring
22Quadratic Functions
- 22.1Introduction to quadratic functions
- 22.2Transformations of quadratic functions
- 22.3Quadratic function in general form: y = ax^2 + bx + c
- 22.4Quadratic function in vertex form: y = a(x-p)^2 + q
- 22.5Completing the square
- 22.6Converting from general to vertex form by completing the square
- 22.7Shortcut: Vertex formula
- 22.8Graphing quadratic functions: General form VS. Vertex form
- 22.9Finding the quadratic functions for given parabolas
- 22.10Applications of quadratic functions
- 22.1Introduction to quadratic functions
23Solving Quadratic Equations
24Radicals
25Rational Expressions
- 25.1Simplifying rational expressions and restrictions
- 25.2Adding and subtracting rational expressions
- 25.3Multiplying rational expressions
- 25.4Dividing rational expressions
- 25.5Solving rational equations
- 25.6Applications of rational equations
- 25.7Simplifying complex fractions
- 25.8Partial fraction decomposition
- 25.1Simplifying rational expressions and restrictions
26Polynomial Functions
- 26.1What is a polynomial function?
- 26.2Remainder theorem
- 26.3Factor theorem
- 26.4Rational zero theorem
- 26.5Characteristics of polynomial graphs
- 26.6Multiplicities of polynomials
- 26.7Imaginary zeros of polynomials
- 26.8Determining the equation of a polynomial function
- 26.9Applications of polynomial functions
- 26.10Solving polynomial inequalities
- 26.11Fundamental theorem of algebra
- 26.12Descartes' rule of signs
- 26.1What is a polynomial function?
27Exponential Functions
28Logarithmic Functions
- 28.1What is a logarithm?
- 28.2Converting from logarithmic form to exponential form
- 28.3Evaluating logarithms without a calculator
- 28.4Common logarithms
- 28.5Natural log: ln
- 28.6Evaluating logarithms using change-of-base formula
- 28.7Converting from exponential form to logarithmic form
- 28.8Solving exponential equations with logarithms
- 28.9Product rule of logarithms
- 28.10Quotient rule of logarithms
- 28.11Combining product rule and quotient rule in logarithms
- 28.12Evaluating logarithms using logarithm rules
- 28.13Solving logarithmic equations
- 28.14Graphing logarithmic functions
- 28.15Finding a logarithmic function given its graph
- 28.1What is a logarithm?
29Conics
30Imaginary and Complex Numbers
31Sequences, Series, and Binomial Theorem
