# Become an Algebra Master

**Getting started : **

Quick overview before we get underway

Download the Algebra formula sheets **Algebra 1 - Operations : **

Introduction to operations

Associative property

Associative property

Associative property

2 questions

Commutative property

Commutative property

Commutative property

2 questions

Transitive property

Transitive property

Transitive property

2 questions

Distributive property

Distributive property

Distributive property

2 questions

Distributive property with fractions

Distributive property with fractions

Distributive property with fractions

2 questions

Distributive property and binomial multiplication

Distributive property and binomial multiplication

Distributive property and binomial multiplication

2 questions

Identifying multiplication

Identifying multiplication

Identifying multiplication

2 questions

Symbols of inclusion

Symbols of inclusion

Symbols of inclusion

2 questions

PEMDAS and order of operations

PEMDAS and order of operations

PEMDAS and order of operations

2 questions

Understood 1

Understood 1

Understood 1

2 questions **Algebra 1 - Rules of equations : **

Introduction to rules of equations

Evaluating expressions

Evaluating expressions

Evaluating expressions, example 2

Evaluating expressions

2 questions

Balancing equations

Balancing equations

Balancing equations

2 questions

Inverse operations

Inverse operations

Inverse operations

2 questions **Algebra 1 - Simple equations : **

Introduction to simple equations

Simple equations

Simple equations

Simple equations, example 2

Simple equations, example 3

Simple equations

2 questions

Simple equations with subscripts

Simple equations with subscripts

Simple equations with subscripts

2 questions

Variables on both sides

Variables on both sides of the equation

Variables on both sides of the equation

2 questions

Equations with parentheses

Equations with parentheses

Equations with parentheses

2 questions

Word problems into equations

Word problems into equations

Word problems into equations

2 questions

Consecutive integers

Consecutive integers

Consecutive integers

2 questions **Algebra 1 - Like terms : **

Introduction to like terms

Adding and subtracting like terms

Adding and subtracting like terms

Adding and subtracting like terms, example 2

Adding and subtracting like terms, example 3

Adding and subtracting like terms

2 questions

Multiplying and dividing like terms

Multiplying and dividing like terms

Multiplying and dividing like terms, example 2

Multiplying and dividing like terms

2 questions **Algebra 1 - Functions : **

Introduction to functions

Domain and range

Domain and range

2 questions

Domain and range from a graph

Domain and range from a graph

Domain and range from a graph

2 questions

Functional notation

Functional notation

Functional notation, example 2

Functional notation

2 questions

Testing for functions

Testing for functions

Testing for functions

2 questions

Vertical line test

Vertical line test

Vertical line test

2 questions

Sum of functions

Sum of functions

Sum of functions

2 questions

Product of functions

Product of functions

Product of functions

2 questions

Even, odd or neither

Even, odd or neither

Even, odd or neither

2 questions

Classifying functions

Classifying functions

Classifying functions

2 questions

Independent and dependent variables

Independent and dependent variables

2 questions **Algebra 1 - Inequalities : **

Introduction to inequalities

Trichotomy

Trichotomy

Trichotomy, example 2

Trichotomy

2 questions

Inequalities and negative numbers

Inequalities and negative numbers

Inequalities and negative numbers

2 questions

Graphing inequalities on a number line

Graphing inequalities on a number line

Graphing inequalities on a number line

2 questions

Graphing conjunctions on a number line

Graphing conjunctions on a number line

Graphing conjunctions on a number line, example 2

Graphing conjunctions on a number line

2 questions **Algebra 1 - Graphing : **

Introduction to graphing

Cartesian coordinate system

Cartesian coordinate system

Cartesian coordinate system

2 questions

Slope

Slope

Slope

2 questions

Equation of a line in point-slope form

Equation of a line in point-slope form

Equation of a line in point-slope form

2 questions

Equation of a line in slope-intercept form

Equation of a line in slope-intercept form

Equation of a line in slope-intercept form

2 questions

Graphing linear equations

Graphing linear equations

Graphing linear equations, example 2

Graphing linear equations, example 3

Graphing linear equations, example 4

Graphing linear equations

2 questions **Algebra 1 - Systems of two equations : **

Introduction to systems of two equations

2-step problems

2-step problems

2-step problems

2 questions

Solving with substitution

Solving with substitution

Solving with substitution

2 questions

Solving with elimination

Solving with elimination

Solving with elimination

2 questions

Solving three ways

Solving three ways

Solving three ways

2 questions **Algebra 1 - Polynomials : **

Introduction to polynomials

Adding polynomials

Adding polynomials

Adding polynomials

2 questions

Multiplying polynomials

Multiplying polynomials

Multiplying polynomials, example 2

Multiplying polynomials

2 questions

Dividing polynomials

Dividing polynomials

Dividing polynomials, example 2

Dividing polynomials

2 questions

Multiplying multivariable polynomials

Multiplying multivariable polynomials

Multiplying multivariable polynomials

2 questions

Dividing multivariable polynomials

Dividing multivariable polynomials

Dividing multivariable polynomials

2 questions **Algebra 1 - Factoring : **

Introduction to factoring

Greatest common factor of trinomials

Greatest common factor of trinomials

Greatest common factor of trinomials, example 2

Greatest common factor of trinomials

2 questions

Greatest common factor of polynomials

Greatest common factor of polynomials

Greatest common factor of polynomials

2 questions

Factoring quadratic equations

Factoring quadratic equations

Factoring quadratic equations

2 questions

Factoring the difference of two squares

Factoring the difference of two squares

Factoring the difference of two squares

2 questions

Completing the square

Completing the square

Completing the square

2 questions

Completing the square with complex roots

Completing the square with complex roots

Completing the square with complex roots

2 questions

Quadratic formula

Quadratic formula

Quadratic formula

2 questions

Proving the quadratic formula

Factoring to find a common denominator

Factoring to find a common denominator

Factoring to find a common denominator

2 questions **Final exam : **

Algebra 1 final exam **Algebra 2 - Exponents and radicals : **

Introduction to exponents and radicals

Powers of negative bases

Powers of negative bases

Powers of negative bases

2 questions

Powers of fractions

Powers of fractions

Powers of fractions

2 questions

Zero as an exponent

Zero as an exponent

Zero as an exponent

2 questions

Negative exponents

Negative exponents

Negative exponents

2 questions

Negative exponents and power rule

Negative exponents and power rule

Negative exponents and power rule

2 questions

Fractional exponents

Fractional exponents

Fractional exponents

2 questions

Rationalize the denominator

Rationalize the denominator

Rationalize the denominator

2 questions

Rationalize the denominator with conjugate method

Rationalize the denominator with conjugate method

Rationalize the denominator with conjugate method, example 2

Rationalize the denominator with conjugate method

2 questions **Algebra 2 - Ratio and proportion : **

Introduction to ratio and proportion

Word problems

Word problems

Word problems

2 questions

Chemical compounds

Chemical compounds

Chemical compounds

2 questions

Fractions to decimals to percents

Fractions to decimals to percents

Fractions to decimals to percents

2 questions

Percent markup

Percent markup

Percent markup

2 questions

Percent markdown

Percent markdown

2 questions

Calculating commission

Calculating commission

Calculating commission

2 questions

Calculating simple interest

Calculating simple interest

Calculating simple interest

2 questions **Algebra 2 - Complex fractions : **

Introduction to complex fractions

Complex fractions

Complex fractions

Complex fractions, example 2

Complex fractions, example 3

Complex fractions, example 4

Complex fractions, example 5

Complex fractions

2 questions

Complex fractions, ratio and proportion

Complex fractions, ratio and proportion

Complex fractions, ratio and proportion

2 questions **Algebra 2 - Rational expressions : **

Introduction to rational expressions

Long division of polynomials

Long division of polynomials

Long division of polynomials

2 questions

Reducing and cancellation for rational expressions

Reducing and cancellation for rational expressions

Reducing and cancellation for rational expressions

2 questions

Adding and subtracting rational expressions

Adding and subtracting rational expressions

Adding and subtracting rational expressions

2 questions

Multiplying rational expressions

Multiplying rational expressions

Multiplying rational expressions

2 questions

Dividing rational expressions

Dividing rational expressions

Dividing rational expressions

2 questions **Algebra 2 - Imaginary numbers : **

Introduction to imaginary numbers

Imaginary numbers

Imaginary numbers

Imaginary numbers, example 2

Imaginary numbers

2 questions

Rationalize an imaginary denominator with conjugate method

Rationalize an imaginary denominator with conjugate method

Rationalize an imaginary denominator with conjugate method

2 questions **Algebra 2 - Advanced equations : **

Introduction to advanced equations

Direct variation

Direct variation

Direct variation

2 questions

Inverse variation

Inverse variation

Inverse variation

2 questions

Decimal equations

Decimal equations

Decimal equations

2 questions

Fractional equations

Fractional equations

Fractional equations, example 2

Fractional equations, example 3

Fractional equations

2 questions

Abstract fractional equations

Abstract fractional equations

Abstract fractional equations, example 2

Abstract fractional equations, example 3

Abstract fractional equations

2 questions

Radical equations

Radical equations

Radical equations, example 2

Radical equations

2 questions

Multivariable equations

Multivariable equations

Multivariable equations

2 questions

Distance, rate and time

Distance, rate and time

Distance, rate and time

2 questions **Algebra 2 - Systems of equations : **

Introduction to systems of equations

Solving with Cramer's rule

Solving with Cramer's rule

Solving with Cramer's rule

2 questions

System of two equations with subscripts

System of two equations with subscripts

System of two equations with subscripts

2 questions

Uniform motion

Uniform motion

Uniform motion

2 questions

System of two equations with a non-linear equation

System of two equations with a non-linear equation

System of two equations with a non-linear equation

2 questions

Number word problems

Number word problems

Number word problems

2 questions

Age word problems

Age word problems

Age word problems

2 questions

System of three equations

System of three equations

System of three equations, example 2

System of three equations

2 questions **Algebra 2 - Factoring : **

Introduction to factoring

Factoring quadratic equations with coefficients

Factoring quadratic equations with coefficients

Factoring quadratic equations with coefficients, example 2

Factoring quadratic equations with coefficients

2 questions

Factoring by grouping

Factoring by grouping

Factoring by grouping, example 2

Factoring by grouping

2 questions

Factoring the difference of two cubes

Factoring the difference of two cubes

Factoring the difference of two cubes

2 questions

Factoring the sum of two cubes

Factoring the sum of two cubes

Factoring the sum of two cubes

2 questions

Zero theorem

Zero theorem

Zero theorem, example 2

Zero theorem, example 3

Zero theorem

2 questions **Algebra 2 - Graphing : **

Introduction to graphing

Graphing parallel and perpendicular lines

Graphing parallel and perpendicular lines

Graphing parallel and perpendicular lines

2 questions

Graphing parabolas

Graphing parabolas

Graphing parabolas

2 questions

Finding center and radius of a circle

Finding center and radius of a circle

Finding center and radius of a circle

2 questions

Graphing circles

Graphing circles

Graphing circles

2 questions

Distance between two points

Distance between two points

Distance between two points

2 questions

Equation modeling

Equation modeling

Equation modeling

2 questions

Modeling a piecewise defined function

Modeling a piecewise defined function

Modeling a piecewise defined function

2 questions

Sketching graphs from story problems

Sketching graphs from story problems

Sketching graphs from story problems

2 questions

Graphing linear inequalities

Graphing linear inequalities

Graphing linear inequalities, example 2

Graphing linear inequalities

2 questions **Algebra 2 - Manipulating functions : **

Introduction to manipulating functions

Combinations of functions

Combinations of functions

Combinations of functions

2 questions

Composite functions

Composite functions

Composite functions

2 questions

Composite functions, domain

Composite functions, domain

Composite functions, domain

2 questions

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

2 questions

Inverse functions

Inverse functions

Inverse functions

2 questions

Finding the equation of a line from two points on its inverse

Finding the equation of a line from two points on its inverse

Finding the equation of a line from two points on its inverse

2 questions **Algebra 2 - Exponential and logarithmic functions : **

Introduction to exponential and logarithmic functions

Laws of logarithms

Laws of logarithms

Laws of logarithms

2 questions **Conclusion : **

Algebra 2 final exam

Wrap-up