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Topics Covered by Infinite Algebra 1

 
Infinite Algebra 1 covers all typical algebra material, over 90 topics in all, from adding and subtracting positives and negatives to solving rational equations. Suitable for any class with algebra content. Designed for all levels of learners from remedial to advanced.
 

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Comparison of topics in each program

Common Core alignment

The Basics
Variable and verbal expressions
The order of operations
Evaluating expressions
Adding integers
Subtracting integers
Multiplying and dividing integers
Adding and subtracting rational numbers
Multiplying and dividing rational numbers
The distributive property
Simplifying variable expressions
Equations
Solving one-step equations
Solving two-step equations
Solving multi-step equations with variables on one side
Solving multi-step equations with variables on both sides
Absolute value equations
Mixture word problems
Distance - rate - time word problems
Work word problems
Inequalities
Inequalities and their graphs
Solving one-step inequalities by adding or subtracting
Solving one-step inequalities by multiplying or dividing
Solving two-step inequalities
Solving multi-step inequalities with variables on one or both sides
Compound inequalities
Absolute value inequalities
Proportions and Percents
Solving proportions
Percent word problems
Percent change
Linear Equations and Inequalities
Slope
Slope-intercept form
Standard form
Point-slope form
Graphing linear equations
Writing linear equations
Parallel and perpendicular lines
Graphing absolute value equations
Graphing linear inequalities
Trigonometry
Finding trig. ratios
Using trig. ratios to find angles
Using trig. ratios to find distances
Systems of Equations and Inequalities
Solving systems of equations by graphing
Solving systems of equations by substitution
Solving systems of equations by elimination
Graphing systems of inequalities
Systems of equations word problems
Exponents
Zero and negative exponents
Exponents and multiplication (the product property)
Exponents and division (the quotient property)
Powers of products and quotients
Reading and writing scientific notation
Operations with numbers in scientific notation
Polynomials
Naming polynomials by degree and number of terms
Adding and subtracting polynomials
Multiplying polynomials
Multiplying special case polynomials
Factoring out the GCF
Factoring trinomials with a = 1
Factoring trinomials with a ≠ 1
Factoring special case polynomials
Factoring by grouping
Quadratic Functions
Graphing quadratic functions
Solving quadratic equations by taking square roots
Solving quadratic equations by factoring
Solving quadratic equations with The Quadratic Formula
Solving quadratic equations by completing the square
Finding the value that completes the square
Using and understanding the descriminant
Radical Expressions
Simplifying radical expressions
The distance formula
The midpoint formula
Adding and subtracting radical expressions
Multiplying radical expressions
Dividing radical expressions
Solving radical equations
Rational Expressions
Simplifying rational expressions
Multiplying and dividing rational expressions
Dividing polynomials
Adding and subtracting rational expressions
Solving rational equations
 
 
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