Algebra 2: First Semester Test (Midterm) 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.
NEW! An editable version of the test is now included so you can easily make multiple versions or customize to fit your needs! PowerPoint and Equation Editor (usually built in to PowerPoint) are required to edit this file. If your Equation Editor is incompatible with mine, simply delete my equation and insert your own.
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