- Cart is empty

Total:

$0.00

Resource Types

File Type

PDF (Acrobat) Document File

Be sure that you have an application to open this file type before downloading and/or purchasing.

4.12 MB | 50 pages

Be sure that you have an application to open this file type before downloading and/or purchasing.

4.12 MB | 50 pages

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

-Identifying properties

-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.

-Evaluate functions

-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

**Suggestions:**

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

**This purchase is for one teacher only.** This resource is not to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses. If you are a coach, principal, or district interested in a site license, please contact me for a quote at allthingsalgebra@gmail.com. This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives.

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

-Identifying properties

-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.

-Evaluate functions

-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.

Algebra 2 Curriculum

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

Total Pages

50

Answer Key

Included

Teaching Duration

N/A

$6.50

Digital Download

Follow Me (12,841 Followers)

Advertisement:

Advertisement:

$6.50

Digital Download