Download Semester 1 Final Exam Prompts

Algebra 2 Final
Name: ___________________________________
Equivalence:
I. During our study of quadratic and piecewise - absolute value functions in the first semester we
studied manipulation of expressions and equations into different forms. Demonstrate your
understanding of these different forms and the reason why you would make the conversion.
Factored
Standard
Vertex
Changing
Linear Absolute value
Forms:
Piecewise
Quadratic Absolute value
II.
We also studied the use of various number systems and arithmetic operations. Demonstrate your
understanding of these systems and operations – including the use of rational exponents. Discuss
how operations with non-real complex numbers is similar to operations with binomials.
Number systems:
Natural Whole Integers
Real – rational & Irrational Complex
Arithmetic operations: Addition Subtraction Multiplication Division
Raising to a power
Analyzing and Interpret:
During the first semester you were asked to analyze and interpret linear, quadratic and absolute value
functions. Discuss how you could interpret various features of the function given various
representations; table, graph, equations.
Features: Line of
Vertex xScale
Maximum Transformations Domain
Symmetry
intercept(s), factor /
/
&
y-intercept
dilation
Minimum
Range
 Include a discussion of the similarities and differences of the functions:
𝑓(𝑥) = 2(𝑥 + 3) − 5 𝑔(𝑥) = 2(𝑥 + 3)2 − 5
ℎ(𝑥) = 2|𝑥 + 3| − 5
𝑗(𝑥) = |2(𝑥 + 3)2 − 5|
Solving:
What does it mean to solve an equation? During the first semester we studied various strategies for
representing and determining solutions to equations – Linear, Quadratic, Piecewise and Absolute
value. Discuss how the type and number of solutions can be determined by the various
representations; table, graph, equations. Demonstrate your understanding of when and how to use
each of the various solution strategies.
Some terms / concepts you should include:
Fundamental
Nature of roots
Most
Factoring Quadratic Completing
Theorem of
efficient
Formula
the square /
 Complex – Rational
Algebra /
method
square root
 Complex – Irrational
number of
 Complex - Imaginary
solutions
Modeling:
During the first semester we modeled linear and quadratic functions numerically, graphically and
algebraically with different forms (explicit & recursive). We modeled quadratic situations; fixed
perimeter rectangles & maximizing profit, and we modeled piecewise situations; traveling to and from
school & draining and refilling a pool. Describe a situation for each type of function – linear, quadratic,
piecewise, create the model – table, graph, equation, which could be used to model your situation
then ask and answer pertinent questions.