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COMMON CORE REGENTS Exams
COMMON CORE ALGEBRA
Unit 1: The Real Number System & Algebraic Expressions
Concept 1: Properties of Real Numbers
Concept 2: Order of Operations; Signed Numbers; Evaluating Absolute Value
Unit 2: Linear Equations & Word Problems
Concept 1: Solving Linear Equations
Concept 2: Solving Equations with Multiple Variables
Concept 3: Number, Consecutive Integer and Separation Problems
Concept 4: Coin, Stamp and Age Problems
Concept 5: Perimeter Problems
Concept 6: Rates and Dimensional Analysis
Concept 7: Percent Error; Relative Error; Rounding Off
Concept 8: Distance, Speed & Time Problems
Unit 3: Inequalities (Interval Notation) & Absolute Value
Concept 1: Solving Absolute Value Equations
Concept 2: Inequalities and interval Notation
Concept 3: Inequality Word Problems
Unit 4: Sequences
Concept 1: Recursive and Explicit Sequences
Concept 2: Arithmetic Sequences
Concept 3: Geometric Sequences
Unit 5: Working with Functions
Concept 1: Domain, Range and Function Notation
Concept 2: Evaluating Functions: Using Graphs to Evaluate a Function
Concept 3: Is a Relation a Function?; The Vertical Line Test
Concept 4: One- to- One Functions; The Horizontal Line Test
Concept 5: The Inverse of a Function
Unit 6: Linear Functions, Zeros, Slope & Average Rate of Change
Concept 1: Slope
Concept 2: Finding x and y intercepts; Zeros of a Function
Concept 3: Finding the Equation of a Line
Concept 4: Determining if a Point is on a Line
Concept 5: Graphing Linear Equations & Inequalities
Concept 6: Direct Variations; Proportions
Concept 7: Applications of Linear Functions
Concept 8: Average Rate of Change
Unit 7: Solving Linear Systems of Equations & Inequalities
Concept 1: Solving Systems of Linear Equations Algebraically
Concept 2: Solving Systems of Linear Equations Graphically
Concept 3: Parallel and Perpendicular Lines
Concept 4: Graphing a System of Linear Inequalities
Concept 5: Problem Solving with Systems of Linear Equations
Unit 8: Parent Functions; Shifts, Reflections & Stretches; Piecewise Functions; Increasing & Decreasing Functions
Concept 1: Parent Functions; Shifting the Graphs of Functions
Concept 2: Increasing, Decreasing, and Constant Functions
Concept 3: Graphing Piecewise Functions
Unit 9: Exponents; Exponential & Absolute Value Functions
Concept 1: Multiplying & Dividing Monomials; Working with Exponents
Concept 2: Working with Negative and Zero Exponents
Concept 3: Scientific Notation
Concept 4: Working with Rational (Fractional) Exponents
Concept 5: Solving Exponential Equations
Concept 6: Graphing Exponential & Absolute Value Functions
Concept 7: Applications of Exponential Functions
Unit 10: Polynomials
Concept 1: Adding and Subtracting Monomials; Like Terms
Concept 2: Adding and Subtracting Polynomials; Degree of a Polynomial
Concept 3: Multiplying Polynomials; The FOIL Method
Concept 4: Dividing Polynomials; Long Division
Unit 11: Factoring
Concept 1: Greatest Common Factor (GCF)
Concept 2: Factoring a Difference of Two Squares: D.O.T.S.
Concept 3: Factoring Trinomials
Concept 4: Factoring Trinomials of the form ax^2 + bx + c
Concept 5: Factoring Completely
Concept 6: Factoring by Grouping
Unit 12: Rational (Fractional) Expressions & Equations
Concept 1: Reducing Algebraic Fractions
Concept 2: Undefined Fractions
Concept 3: Multiplying and Dividing Algebraic Fractions
Concept 4: Adding and Subtracting Algebraic Fractions
Concept 5: Solving Fractional Equations
Unit 13: Radicals & Solving Quadratic Equations
Concept 1: Simplifying Radicals; Irrational Numbers
Concept 2: Adding and Subtracting Radicals
Concept 3: Multiplying and Dividing Radicals
Concept 4: The Pythagorean Theorem (Review Topic)
Concept 5: Solving Quadratic Equations by Factoring
Concept 6: Solving Quadratic Equations Using the Quadratic Formula
Concept 7: Solving Quadratic Equations by Completing The Square
Concept 8: Solving a Linear-Quadratic System Algebraically
Unit 14: Graphing Quadratics; The Parabola
Concept 1: Graphing a Quadratic Function; The Parabola: axis of symmetry
Concept 2: Vertex Form of the Equation of a Parabola; domain, range, maximums & minimums
Concept 3: Solving Linear-Quadratic Systems Graphically
Concept 4: Shifting, Reflecting, & Stretching the Graphs of Functions
Unit 15: Applications of Quadratics
Concept 1: Solving Quadratic Word Problems
Concept 2: Applications of Quadratic Functions
Unit 16: Statistics
Concept 1: Measures of Central Tendencies: Mean, Mode, Median
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