Algebra 2: Mid-Year (Semester) Test and Study Guide
This 94 question study guide and 60 question first semester test (all multiple choice) was created for a high school Algebra 2 class. Objectives covered are as follows:
-Simplify radicals containing variables (higher indexes included)
-Add, subtract, multiply, and divide radicals
-Rationalizing the denominator (with monomial or binomial divisors)
-Converting from radical notation to exponential notation and vica versa
-Simplifying expressions with rational exponents
-Simplify radical expressions containing negative radicands and write as a complex number.
-Simplify powers of i
-Add, subtract, multiply, and divide complex numbers (includes rationalizing)
-Arrange the following sets of numbers in a hierarchy: complex, pure imaginary, real, rational, irrational, integers, whole, and natural
-Name all sets to which a value belongs
-Factor polynomials: including greatest common factor, difference of squares, sum of cubes, difference of cubes, trinomials, and four terms
-Divide polynomials using long or synthetic division
-Solve absolute value equations
-Solve absolute value inequalities
-Calculate the discriminant of a quadratic equation to determine the number and type of roots
-Solve quadratic equations using the most appropriate method
-Solve polynomial equations by factoring
-Define a polynomial equation in factored/standard form given its zeros
-Identify the multiplicity of zeros and describe the effect of those zeros on the graph
-Solve radical equations
-Recognize the shape of the following parent functions: linear, absolute value, quadratic, cubic, square root, cube root
-Given the graph of a function, identify the parent function
-Given the graph or equation of a function, identify the transformations that took place
-Given the transformations from a parent function, write the equation of the function
-Identify the domain, range, zeros, end behavior, increasing intervals, and decreasing intervals of a function
-Graphing absolute value inequalities
-Systems of equations applications
-Quadratic equations applications
-Determine the equation for the line/curve of best fit using linear, quadratic, cubic, or quartic regression.
-Make predictions using the equation for the line/curve of best fit.
-Operations with functions
-Compositions of functions
-Write the inverse of a function
-Graph the inverse of a function as a reflection across the line y = x
-Use compositions to verify two functions are inverses
1) Assign sections of the study guide over the course of a couple weeks.
2) Consider allowing students to omit any 10 questions should you worry that the test length is too long.
This resource is included in the following bundle(s):
Algebra 2 Curriculum
This study guide and test work perfect in conjunction with the following units:
Unit 1 – Equations and Inequalities
Unit 2 – Linear Functions and Systems
Unit 3 – Parent Functions and Transformations
Unit 4 – Solving Quadratics and Complex Numbers
Unit 5 – Polynomial Functions
Unit 6 – Radical Functions
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