Public learning track
Radical, Rational, and Absolute Value Equations and Inequalities
9th Grade · Math · Open Global Math
10 lessons
Goal
Solve simple rational, radical, and absolute value equations and inequalities in one variable, and identify extraneous solutions introduced by algebraic operations.
Featured Diagrams
Solving Square Root Equations with Isolated Radicals
10 lessons
0 of 10 done
- 1Solving Square Root Equations with Isolated RadicalsUp nextStart
- 2Solving Square Root Equations with Non-Isolated RadicalsPremiumNot started yet
- 3Solving Square Root Equations with Variables on Both SidesNot started yet
- 4Solving Radical Equations with Extraneous SolutionsNot started yet
- 5Solving Simple Rational Equations Using Proportions and Cross-MultiplicationNot started yet
- 6Solving Rational Equations by Clearing Denominators and Identifying Extraneous SolutionsNot started yet
- 7Solving Basic Absolute Value Equations in One VariableNot started yet
- 8Solving Absolute Value Equations with Variables on Both SidesNot started yet
- 9Solving and Graphing Absolute Value Inequalities: Less-Than (Conjunction) CasesNot started yet
- 10Solving and Graphing Absolute Value Inequalities: Greater-Than (Disjunction) CasesNot 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.