HSA-CED.A
Create equations that describe numbers or relationships.

HSA-CED.A.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.

HSA-CED.A.2
Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

HSA-CED.A.3
Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods.

HSA-CED.A.4
Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.  

HSN-Q.A
Reason quantitatively and use units to solve problems.

HSN-Q.A.1
Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.

HSN-Q.A.2
Define appropriate quantities for the purpose of descriptive modeling.

HSN-Q.A.3
Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.

HSA-REI.A
Understand solving equations as a process of reasoning and explain the reasoning.

HSA-REI.A.1
Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.

HSA-REI.A.2
Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.

HSA-REI.B
Solve equations and inequalities in one variable.

HSA-REI.B.3
Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

HSA-SSE.A
Interpret the structure of expressions.

HSA-SSE.A.1
Interpret expressions that represent a quantity in terms of its context.

HSA-SSE.A.1.a
Interpret parts of an expression, such as terms, factors, and coefficients.

HSA-SSE.A.1.b
Interpret complicated expressions by viewing one or more of their parts as a single entity. 

HSA-SSE.A.2
Use the structure of an expression to identify ways to rewrite it.

HSA-SSE.B
Write expressions in equivalent forms to solve problems.

HSA-SSE.B.3
Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

HSA-REI.D
Represent and solve equations and inequalities graphically.

HSA-REI.D.10
Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

HSA-REI.C
Solve systems of equations.

HSA-REI.C.5
Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.

HSA-REI.C.6
Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.