Introduction to Algebra II Final Exam Outline – June 2015
The focus of the exam will be on Transformations, the Factoring Unit and Chapter 5, but because the topics build on one another, the chapters from the first
semester should also be reviewed.
Chapter 2 – Linear Functions
 2-1 (Solving Linear Equations and Inequalities)
Solve linear equations in one variable using various methods
Solve linear inequalities in one variable
Graph solution sets of linear inequalities on a number line
 2-3 (Graphing Linear Functions)
Determine whether a function is linear
Graph a linear function from two points
Graph a linear function given a point and a slope
Graph a linear function from an equation
 2-4 (Writing Linear Functions)
Write the equation of a linear function given its graph
Write the equation of a linear function given a point and a slope
Write the equation of a linear function given two points
Write the equation of a linear function that is parallel/perpendicular to
a given line and passes through a given point
Write equations of linear functions in standard form, slope-intercept
form, point-slope form, or using function notation.
Interpret the meaning of slope in a real-world context
Interpret the meaning of x- and y-intercept in a real-world context
 2-5 (Linear Inequalities in Two Variables)
Graph linear inequalities on the coordinate plane
Apply linear inequalities to solve real-world problems
Chapter 3 – Linear Systems
 3-1 (Using Graphs to Solve Linear Systems)
Use graphs to solve systems of two linear equations
Determine the number of solutions to a system of two lin. equations
Use substitution to verify solutions to linear equations
 3-2 (Using Algebraic Methods to Solve Linear Systems)
Solve systems of two linear equations using the substitution method
Solve systems of two linear equations using the elimination method
Write and solve linear systems of equations to solve problems
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3-3 Solving Systems of Linear Inequalities
Graph systems of linear inequalities
Algebraically verify solutions to systems of equations
Write and solve systems of linear inequalities to solve real-world
problems
Factoring Unit
 Calculating the greatest common factor of monomials
 Factoring out the greatest common factor from an algebraic expression
 Factoring the difference of squares
 Factoring expressions completely
 Solving equations by factoring
Chapter 5 – Quadratic Functions
 5-1 (Using Transformations to Graph Quadratic Functions)
Predicting transformations (horizontal and vertical shifts, stretching
and shrinking, and reflection over the x-axis) of 𝑓(𝑥) = 𝑥 2 based on
values of a, h, and k in 𝑓(𝑥) = 𝑎(𝑥 − ℎ)2 + 𝑘
 5-2 (Properties of Quadratic Functions in Standard Form)
Graph quadratic functions in standard form using the vertex, axis of
symmetry, and y-intercept.
Calculate the maximum or minimum of a quadratic function
 5-3 (Solving Quadratic Equations by Graphing and Factoring)
Solve a quadratic equation by graphing from vertex, standard, or
intercept form
Solve a quadratic equation by factoring
Write quadratic equations with given zeros
 5-4 (Completing the square)
Solving quadratic equations by completing the square
Solve quadratic equations using square roots
Write quadratic functions in standard form by completing the square
 5.5 (Complex Roots and Numbers)
Simplify square roots of negative numbers
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Use completing the square or square roots to solve quadratic equation
with complex roots
5-6 (The Quadratic Formula)
Use the discriminant to determine the number and type (real or
complex) of solutions to a quadratic equation.
Use the quadratic formula to solve quadratic equations with real or
complex solutions.
5-7 (Quadratic Inequalities)
Graph quadratic inequalities
5-8 (Curve Fitting with Quadratic Models)
Write quadratic functions to model given data
5-9 (Operations with Complex Numbers)
Add, subtract, multiply, and divide complex numbers
Write complex numbers in standard form
Graph complex numbers on the complex plane
Compute the absolute value of a complex number