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### Math

## Common Core Math

# High School: Algebra: Creating Equations

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.

- Combining mixtures example
- Comparing linear rates example
- Comparing linear rates word problems
- Equations & inequalities word problems
- Exponential equation word problem
- Measurement word problem: running laps
- Mixtures and combined rates word problems
- Multiple units word problem: road trip
- Polynomial word problem: area of a window
- Polynomial word problem: rectangle and circle area
- Polynomial word problem: total value of bills
- Quadratic equations word problem: box dimensions
- Quadratic equations word problem: triangle dimensions
- Quadratic inequality word problem
- Rational equation word problem
- Rational equations word problem: combined rates
- Rational equations word problem: eliminating solutions
- Using inequalities to solve problems
- Using inequalities to solve problems
- Using units to solve problems
- Using units to solve problems: Drug dosage

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

- Age word problem: Arman & Diya
- Age word problem: Ben & William
- Age word problem: Imran
- Age word problems
- Construct exponential models
- Constructing exponential models
- Constructing exponential models (old example)
- Constructing exponential models: half life
- Constructing exponential models: percent change
- Constructing linear equations from context
- Graph labels and scales
- Graphing linear relationships word problems
- Linear functions word problem: fuel
- Linear functions word problem: iceberg
- Linear functions word problem: paint
- Linear functions word problem: pool
- Linear models word problem: book
- Linear models word problem: marbles
- Linear models word problems
- Modeling with basic exponential functions word problem
- Modeling with multiple variables
- Modeling with multiple variables: Pancakes
- Modeling with multiple variables: Roller coaster
- Modeling with sinusoidal functions
- Modeling with sinusoidal functions: phase shift
- Rational equations word problem: combined rates (example 2)
- System of equations word problem: infinite solutions
- System of equations word problem: no solution
- System of equations word problem: walk & ride
- Systems of equations with elimination: apples and oranges
- Systems of equations with elimination: coffee and croissants
- Systems of equations with elimination: TV & DVD
- Systems of equations with substitution: coins
- Systems of equations word problems
- Systems of equations word problems (with zero and infinite solutions)
- Trig word problem: length of day (phase shift)
- Trig word problem: modeling annual temperature
- Trig word problem: modeling daily temperature
- Writing linear equations word problems

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.

- Age word problem: Arman & Diya
- Age word problem: Ben & William
- Age word problem: Imran
- Age word problems
- Constraint solutions of systems of inequalities
- Constraint solutions of two-variable inequalities
- Creating systems in context
- Graphs of systems of inequalities word problem
- Graphs of two-variable inequalities word problem
- Interpret points relative to a system
- Interpreting two-variable inequalities word problem
- Modeling with systems of inequalities
- Setting up a system of equations from context example (pet weights)
- Setting up a system of linear equations example (weight and price)
- Solutions of inequalities: algebraic
- Solutions of inequalities: graphical
- Solutions of systems of inequalities
- Solving systems of inequalities word problem
- Solving two-variable inequalities word problem
- System of equations word problem: infinite solutions
- System of equations word problem: no solution
- System of equations word problem: walk & ride
- Systems of equations with elimination: apples and oranges
- Systems of equations with elimination: coffee and croissants
- Systems of equations with elimination: TV & DVD
- Systems of equations with substitution: coins
- Systems of equations word problems
- Systems of equations word problems (with zero and infinite solutions)
- Systems of inequalities word problems
- Testing solutions to inequalities
- Testing solutions to systems of inequalities
- Two-variable inequalities word problems
- Writing systems of inequalities word problem
- Writing two-variable inequalities word problem

Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.