Course Highlights
  • Operations, including order of operations (PEMDAS) and like-terms
  • Fractions, exponents, and radicals, including advanced operations with all three
  • Equations and systems of equations, including inverse operations, direct and inverse variation, and distance/rate/time problems
  • Graphing, including parallel and perpendicular lines, and parabolas
  • Polynomials and factoring, including the quadratic formula and completing the square
  • Functions, including domain and range, and sums and products of functions
  • Inequalities, including trichotomy and graphing inequalities and conjunctions on a number line
  • Exponential and logarithmic functions, including laws of logs, change of base, and graphing
Skills you will learn!
Curriculum

4 Topics
What we'll learn in Algebra 1
How to get the most out of this course
Download the Algebra 1 formula sheet
The EVERYTHING download

36 Topics
Introduction to operations
RESOURCE: Quiz solutions for this section
Variables
Variables
Variables
Identifying multiplication
Identifying multiplication
Identifying multiplication
Associative Property
Associative Property
Associative Property
Commutative Property
Commutative Property
Commutative Property
Transitive Property
Transitive Property
Transitive Property
Understood 1
Understood 1
Understood 1
Adding and subtracting like terms
Adding and subtracting like terms
Adding and subtracting like terms
Multiplying and dividing like terms
Multiplying and dividing like terms
Multiplying and dividing like terms
Distributive Property
Distributive Property
Distributive Property
Distributive Property with fractions
Distributive Property with fractions
Distributive Property with fractions
PEMDAS and order of operations
PEMDAS and order of operations
PEMDAS and order of operations
BONUS! Extra practice problems. :)

24 Topics
Introduction to equations
RESOURCE: Quiz solutions for this section
Evaluating expressions
Evaluating expressions
Evaluating expressions
Inverse operations
Inverse operations
Inverse operations
Simple equations
Simple equations
Simple equations
Balancing equations
Balancing equations
Balancing equations
Equations with subscripts
Equations with subscripts
Equations with subscripts
Word problems into equations
Word problems into equations
Word problems into equations
Consecutive integers
Consecutive integers
Consecutive integers
BONUS! Extra practice problems. :)

18 Topics
Introduction to polynomials
RESOURCE: Quiz solutions for this section
Adding and subtracting polynomials
Adding and subtracting polynomials
Adding and subtracting polynomials
Multiplying polynomials
Multiplying polynomials
Multiplying polynomials
Dividing polynomials
Dividing polynomials
Dividing polynomials
Multiplying multivariable polynomials
Multiplying multivariable polynomials
Multiplying multivariable polynomials
Dividing multivariable polynomials
Dividing multivariable polynomials
Dividing multivariable polynomials
BONUS! Extra practice problems. :)

21 Topics
Introduction to factoring
RESOURCE: Quiz solutions for this section
Greatest common factor
Greatest common factor
Greatest common factor
Quadratic polynomials
Quadratic polynomials
Quadratic polynomials
Difference of squares
Difference of squares
Difference of squares
Zero Theorem
Zero Theorem
Zero Theorem
Completing the square
Completing the square
Completing the square
Quadratic formula
Quadratic formula
Quadratic formula
BONUS! Extra practice problems. :)

36 Topics
Introduction to functions and graphing
RESOURCE: Quiz solutions for this section
Cartesian coordinate system
Cartesian coordinate system
Cartesian coordinate system
Slope
Slope
Slope
Point-slope and slope-intercept forms of a line
Point-slope and slope-intercept forms of a line
Point-slope and slope-intercept forms of a line
Graphing linear equations
Graphing linear equations
Graphing linear equations
Function notation
Function notation
Function notation
Domain and range
Domain and range
Domain and range
Testing for functions
Testing for functions
Testing for functions
Vertical Line Test
Vertical Line Test
Vertical Line Test
Sum of functions
Sum of functions
Sum of functions
Product of functions
Product of functions
Product of functions
Even odd or neither
Even odd or neither
Even odd or neither
BONUS! Extra practice problems. :)

27 Topics
Introduction to inequalities
RESOURCE: Quiz solutions for this section
Trichotomy
Trichotomy
Trichotomy
Inequalities and negative numbers
Inequalities and negative numbers
Inequalities and negative numbers
Graphing inequalities on a number line
Graphing inequalities on a number line
Graphing inequalities on a number line
Graphing disjunctions on a number line
Graphing disjunctions on a number line
Graphing disjunctions on a number line
Graphing conjunctions on a number line
Graphing conjunctions on a number line
Graphing conjunctions on a number line
Graphing inequalities in the plane
Graphing inequalities in the plane
Graphing inequalities in the plane
Absolute value equations
Absolute value equations
Absolute value equations
Absolute value inequalities
Absolute value inequalities
Absolute value inequalities
BONUS! Extra practice problems. :)

18 Topics
Introduction to systems of equations
RESOURCE: Quiz solutions for this section
Two-step problems
Two-step problems
Two-step problems
Solving systems with substitution
Solving systems with substitution
Solving systems with substitution
Solving systems with elimination
Solving systems with elimination
Solving systems with elimination
Solving systems three ways
Solving systems three ways
Solving systems three ways
Systems of linear inequalities
Systems of linear inequalities
Systems of linear inequalities
BONUS! Extra practice problems. :)

3 Topics
Practice final exam #1 (optional)
Practice final exam #2 (optional)
Algebra 1 final exam

2 Topics
What we'll learn in Algebra 2
Download the Algebra 2 formula sheet

27 Topics
Introduction to exponents and radicals
RESOURCE: Quiz solutions for this section
Powers of negative bases
Powers of negative bases
Powers of negative bases
Powers of fractions
Powers of fractions
Powers of fractions
Zero as an exponent
Zero as an exponent
Zero as an exponent
Negative exponents
Negative exponents
Negative exponents
Negative exponents and product rule
Negative exponents and product rule
Negative exponents and product rule
Fractional exponents
Fractional exponents
Fractional exponents
Rationalizing the denominator
Rationalizing the denominator
Rationalizing the denominator
Rationalizing with conjugate method
Rationalizing with conjugate method
Rationalizing with conjugate method
BONUS! Extra practice problems. :)

36 Topics
Introduction to ratios and proportions
RESOURCE: Quiz solutions for this section
Ratios and proportions
Ratios and proportions
Ratios and proportions
Chemical compounds
Chemical compounds
Chemical compounds
Fractions to decimals to percents
Fractions to decimals to percents
Fractions to decimals to percents
Percent markup
Percent markup
Percent markup
Percent markdown
Percent markdown
Percent markdown
Calculating commission
Calculating commission
Calculating commission
Calculating simple interest
Calculating simple interest
Calculating simple interest
Complex fractions
Complex fractions
Complex fractions
Ratios and proportions with complex fractions
Ratios and proportions with complex fractions
Ratios and proportions with complex fractions
Imaginary and complex numbers
Imaginary and complex numbers
Imaginary and complex numbers
Rationalizing complex denominators
Rationalizing complex denominators
Rationalizing complex denominators
BONUS! Extra practice problems. :)

15 Topics
Introduction to factoring
RESOURCE: Quiz solutions for this section
Coefficients in quadratics
Coefficients in quadratics
Coefficients in quadratics
Grouping
Grouping
Grouping
Difference of cubes
Difference of cubes
Difference of cubes
Sum of cubes
Sum of cubes
Sum of cubes
BONUS! Extra practice problems. :)

18 Topics
Introduction to rational functions
RESOURCE: Quiz solutions for this section
Simplifying rational functions
Simplifying rational functions
Simplifying rational functions
Adding and subtracting rational functions
Adding and subtracting rational functions
Adding and subtracting rational functions
Factoring to find a common denominator
Factoring to find a common denominator
Factoring to find a common denominator
Multiplying rational functions
Multiplying rational functions
Multiplying rational functions
Dividing rational functions
Dividing rational functions
Dividing rational functions
BONUS! Extra practice problems. :)

27 Topics
Introduction to advanced equations
RESOURCE: Quiz solutions for this section
Direct variation
Direct variation
Direct variation
Inverse variation
Inverse variation
Inverse variation
Decimal equations
Decimal equations
Decimal equations
Fractional equations
Fractional equations
Fractional equations
Rational equations
Rational equations
Rational equations
Radical equations
Radical equations
Radical equations
Multivariable equations
Multivariable equations
Multivariable equations
Multivariable rational equations
Multivariable rational equations
Multivariable rational equations
BONUS! Extra practice problems. :)

21 Topics
Introduction to systems of equations
RESOURCE: Quiz solutions for this section
Systems with subscripts
Systems with subscripts
Systems with subscripts
Uniform motion problems
Uniform motion problems
Uniform motion problems
Number word problems
Number word problems
Number word problems
Age word problems
Age word problems
Age word problems
Systems with non-linear equations
Systems with non-linear equations
Systems with non-linear equations
Systems of three equations
Systems of three equations
Systems of three equations
BONUS! Extra practice problems. :)

33 Topics
Introduction to graphing
RESOURCE: Quiz solutions for this section
Parallel and perpendicular lines
Parallel and perpendicular lines
Parallel and perpendicular lines
Graphing parabolas
Graphing parabolas
Graphing parabolas
Center and radius of a circle
Center and radius of a circle
Center and radius of a circle
Graphing circles
Graphing circles
Graphing circles
Distance between two points
Distance between two points
Distance between two points
Equation modeling
Equation modeling
Equation modeling
Modeling a piecewise-defined function
Modeling a piecewise-defined function
Modeling a piecewise-defined function
Sketching graphs from story problems
Sketching graphs from story problems
Sketching graphs from story problems
Quadratic inequalities
Quadratic inequalities
Quadratic inequalities
Systems with quadratic inequalities
Systems with quadratic inequalities
Systems with quadratic inequalities
BONUS! Extra practice problems. :)

24 Topics
Introduction to manipulating functions
RESOURCE: Quiz solutions for this section
Combinations of functions
Combinations of functions
Combinations of functions
Composite functions
Composite functions
Composite functions
Domains of composite functions
Domains of composite functions
Domains of composite functions
Decomposing composite functions
Decomposing composite functions
Decomposing composite functions
One-to-one functions and the Horizontal Line Test
One-to-one functions and the Horizontal Line Test
One-to-one functions and the Horizontal Line Test
Inverse functions
Inverse functions
Inverse functions
Finding a function from its inverse
Finding a function from its inverse
Finding a function from its inverse
BONUS! Extra practice problems. :)

39 Topics
Introduction to exponential and logarithmic functions
RESOURCE: Quiz solutions for this section
What is a logarithm?
What is a logarithm?
What is a logarithm?
Common bases and restricted values
Common bases and restricted values
Common bases and restricted values
Evaluating logs
Evaluating logs
Evaluating logs
Laws of logarithms
Laws of logarithms
Laws of logarithms
Laws of natural logs
Laws of natural logs
Laws of natural logs
Solving logarithmic equations
Solving logarithmic equations
Solving logarithmic equations
Change of base
Change of base
Change of base
Graphing exponential functions
Graphing exponential functions
Graphing exponential functions
Graphing transformations of exponential functions
Graphing transformations of exponential functions
Graphing transformations of exponential functions
The general log rule
The general log rule
The general log rule
Graphing log functions
Graphing log functions
Graphing log functions
Graphing transformations of log functions
Graphing transformations of log functions
Graphing transformations of log functions
BONUS! Extra practice problems. :)

4 Topics
Practice final exam #1 (optional)
Practice final exam #2 (optional)
Algebra 2 final exam
Wrap-up

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