Arithmetic With Polynomials And Rational Expressions 
HSA.APR: Perform Arithmetic Operations On Polynomials 
HSA.APR.1  Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials. 
Creating Equations 
HSA.CED: Create Equations That Describe Numbers Or Relationships 
HSA.CED.1  Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions. 
Expressions And Equations 
6.EE: Apply And Extend Previous Understandings Of Arithmetic To Algebraic Expressions. 
6.EE.2  Write, read, and evaluate expressions in which letters stand for numbers. 
Reason About And Solve OneVariable Equations And Inequalities. 
6.EE.5  Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true. 

6.EE.6  Use variables to represent numbers and write expressions when solving a realworld or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set. 
8.EE: Analyze And Solve Linear Equations And Pairs Of Simultaneous Linear Equations. 
8.EE.7  Solve linear equations in one variable. 

8.EE.8  Analyze and solve pairs of simultaneous linear equations. 
Reasoning With Equations And Inequalities 
HSA.REI: Solve Equations And Inequalities In One Variable 
HSA.REI.3  Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. 

HSA.REI.4  Solve quadratic equations in one variable. 
Seeing Structure In Expressions 
HSA.SSE: Interpret The Structure Of Expressions 
HSA.SSE.1  Interpret expressions that represent a quantity in terms of its context. 

HSA.SSE.2  Use the structure of an expression to identify ways to rewrite it. For example, see x4 – y4 as (x2)2 – (y2)2, thus recognizing it as a difference of squares that can be factored as (x2 – y2)(x2 + y2). 