Algebra II & Trig Semester Exam Outline – December 2014
Unit 1: Foundations for functions
 Identify the domain and range of functions & determine whether a
relation is a function (1.6)
Unit 2: Linear Equations and Inequalities in Two Variables
 Solving linear equations and inequalities (2.1)
 Proportional reasoning (2.2)
 Graphing linear equations on a coordinate plane (2.3)
- Graphing from slope-intercept form
- Graphing using x and y intercepts
 Writing equations of lines (2.4)
- Given slope and y-intercept
- Given slope and a point
- Given two points
- Given a point and a parallel line
- Given a point and a perpendicular line
 Using linear equations and inequalities in two variables to solve realworld problems Linear Programming (2.4)
 Graphing linear inequalities in two variables on a coordinate plane(2.5)
 Transforming linear functions (2.6)
 Solving absolute value equations and inequalities (2.8)
 Drawing absolute value functions and transforming them (2.9)
Unit 3: Systems of Linear Equations and Inequalities
 Solving systems of equations by graphing (3.1)
 Solving systems of equations with the substitution method (3.2)
 Solving systems of equations with the elimination (linear combination)
method (3.2)
 Determining number of solutions to a system of equations (3.2)
 Using systems of equations to solve real-world problems (3.2)
 Graphing systems of inequalities (3.3)
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Using systems of inequalities to solve real-world problems (3.3)
Linear Programming (3.4)
- Finding the feasible region
- Maximizing or minimizing the objective function
- Linear problems in real world examples
Graph points and linear equations in 3 dimensions (3.5)
Solve linear systems in 3 variables Linear Programming (3.6)
Unit 4: Matrices
 Use Matrices to display real world data, Adding & subtracting (4.1)
 Multiplying matrices (4.2)
 Computing determinants of matrices (2x2 and 3x3 matrices only) (4.3)
 Using Cramer´s rule to solve systems of equations (4.3)
 Computing inverses of matrices (2x2 only) (4.5)
 Using inverse matrices to solve systems of equations (only systems of 2
equations) (4.5)
Unit 5: Quadratic Functions (Part 1)
 Graphing quadratic functions (5.1)
 Properties of quadratic functions in standard form (5.2)
 Solving quadratic equations by factoring (5.3)
- When leading coefficient is equal to 1
- When leading coefficient is not equal to 1
- Using special patterns (difference of squares, perfect square
trinomial)
 Using quadratic functions to solve real-world problems (5.3)
 Solve quadratic equations by completing the square. (5.4)
 Write quadratic equations in vertex form. (5.4)
 Define and use imaginary and complex numbers. (5.5)
 Solve quadratic equations with complex roots. (5.5)
 Solve quadratic equations using the quadratic formula. (5.6)
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Classify roots using the discriminant. (5.6)
Define and use imaginary and complex numbers. (5.5)
Solve quadratic equations with complex roots. (5.5)
Solve quadratic equations using the quadratic formula. (5.6)
Classify roots using the discriminant. (5.6)
Solve quadratic inequalities by using tables, graphs and algebra. (5.7)
Perform operations with complex numbers. (5.9)
Unit 6: Polynomial Functions
 Identify, evaluate, add and subtract polynomials. (6.1)
 Classify and graph polynomials. (6.1)
 Multiply polynomials, use binomial expansion to expand binomial
expressions that are raised to positive integer powers. (6.2)
 Use long division and synthetic division to divide polynomials. (6.3)