Public learning track
Linear Equations, Literal Formulas, and Single-Variable Inequalities
9th Grade · Math · Open Global Math
11 lessons
Goal
Solve multi-step linear equations and inequalities with numerical and literal coefficients, justify each algebraic transformation, and rearrange scientific formulas for specified variables.
Featured Diagrams
Justifying Steps in Solving Linear Equations Using Properties of Equality
11 lessons
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- 1Justifying Steps in Solving Linear Equations Using Properties of EqualityUp nextStart
- 2Solving Multi-Step Linear Equations with Variables on Both SidesPremiumNot started yet
- 3Solving Equations with Variables on Both Sides and Rational CoefficientsNot started yet
- 4Identifying Identities, Contradictions, and Conditional Linear EquationsNot started yet
- 5Solving Linear Equations with Coefficients Represented by LettersNot started yet
- 6Rearranging Geometric Formulas and Multi-Variable Literal EquationsNot started yet
- 7Rearranging Scientific and Physics Formulas for Specified VariablesNot started yet
- 8Solving Multi-Step Linear Inequalities in One VariableNot started yet
- 9Solving Compound Inequalities with And and Or ConditionsNot started yet
- 10Graphing Solutions to Linear Inequalities on a Number LineNot started yet
- 11Modeling and Solving Real-World Equations with Variables on Both SidesNot started yet
Curriculum Framework
9th Grade · Math · Open Global Math
1
11 lessons
Linear Equations, Literal Formulas, and Single-Variable Inequalities
Solve multi-step linear equations and inequalities with numerical and literal coefficients, justify each algebraic transformation, and rearrange scientific formulas for specified variables.
2
7 lessons
Quadratic Equations: Factoring, Square Roots, and Completing the Square
Solve quadratic equations using the zero-product property, square root extraction, and completing the square for monic and non-monic quadratics.
3
8 lessons
The Quadratic Formula, Discriminant Analysis, and Vieta's Relations
Solve any quadratic equation using the quadratic formula, analyze root types and multiplicities using the discriminant, and relate roots to coefficients using Vieta's formulas.
4
10 lessons
Radical, Rational, and Absolute Value Equations and Inequalities
Solve simple rational, radical, and absolute value equations and inequalities in one variable, and identify extraneous solutions introduced by algebraic operations.
5
9 lessons
Systems of Linear Equations in Two and Three Variables
Solve systems of linear equations in two and three variables using graphing, substitution, and elimination, and prove equivalence under linear combinations.
6
7 lessons
Matrix Methods and Gaussian Elimination for Linear Systems
Solve systems of linear equations using augmented matrices, row echelon transformations (Gaussian elimination), and matrix inverses (AX = B).
7
7 lessons
Non-Linear and Linear-Quadratic Systems of Equations
Solve systems involving linear, quadratic, and circular equations in two variables algebraically and graphically, and interpret points of intersection.
8
8 lessons
Two-Variable Linear Inequalities and Feasible Regions in Optimization
Graph linear inequalities in two variables as half-planes, identify polygonal feasible regions for systems of linear inequalities, and interpret constraints and viable solutions in modeling contexts.