FREE
Algebra II Practice Tests

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Free Algebra II Diagnostic Tests

Take the Varsity Learning Tools free diagnostic test for Algebra II to determine which academic concepts you understand and which ones require your ongoing attention. Each Algebra II problem is tagged down to the core, underlying concept that is being tested. The Algebra II diagnostic test results highlight how you performed on each area of the test. You can then utilize the results to create a personalized study plan that is based on your particular area of need.

Algebra II Diagnostic Test 1

Questions: 40
Test Difficulty:
Average Time Spent: 24 mins

Algebra II Diagnostic Test 2

Questions: 40
Test Difficulty:
Average Time Spent: 1 hrs 2 mins

Algebra II Diagnostic Test 3

Questions: 40
Test Difficulty:
Average Time Spent: 1 hrs 2 mins

Algebra II Diagnostic Test 4

Questions: 40
Test Difficulty:
Average Time Spent: 3 hrs 26 mins

Algebra II Diagnostic Test 5

Questions: 40
Test Difficulty:
Average Time Spent: 32 mins

Algebra II Diagnostic Test 6

Questions: 40
Test Difficulty:
Average Time Spent: 2 hrs 44 mins

Algebra II Diagnostic Test 7

Questions: 40
Test Difficulty:
Average Time Spent: 2 hrs 14 mins

Algebra II Diagnostic Test 8

Questions: 40
Test Difficulty:
Average Time Spent: 59 mins

Algebra II Diagnostic Test 9

Questions: 40
Test Difficulty:
Average Time Spent: 8 hrs 50 mins

Algebra II Diagnostic Test 10

Questions: 40
Test Difficulty:
Average Time Spent: 8 hrs 1 mins

Students typically take Algebra II early in their high school careers. The class expands on the concepts of equations, functions, and graphs previously introduced in the prerequisite course, Algebra I. The more advanced concepts that students learn in Algebra II continue to build a mathematical foundation that will serve them in later classes like Pre-Calculus, Statistics, Trigonometry, and Calculus, exercising their abilities to think critically about the relationships between the characteristics of data and the different ways in which data can be represented. Whether you need top Algebra tutors in MiamiAlgebra tutors in Kansas City, or top Algebra tutors in Oklahoma City, working with a pro may take your studies to the next level.

A typical Algebra II class might begin by first reviewing the core concepts of solving and graphing basic linear functions that formed the basis of Algebra I. It might also build on the concepts of basic probability and basic statistics, including working with the concepts of mean, median, and mode; however, the class soon introduces new material in the form of quadratic functions, which, if they were mentioned in Algebra I, were not taught in great depth. Students learn the characteristics of circle functions and parabolic functions in both equation and graphical forms, as well as how to manipulate each aspect of a function by making changes to one of its forms. For instance, questions might give students a graph of a circle function and its equation, and then ask them how shifting the graphed function three whole numbers to the right would be reflected in the equation. Similarly, they may be given equations of parabolic functions and asked what changes various changes to the equations would have on hypothetical graphs of those functions.

Algebra II also returns to and expands upon the previously-taught practice of solving single-variable equations and introduces more challenging and complicated topics into coursework. Like in Algebra I, students are taught to factor polynomial expressions, use FOIL, and simplify and expand quadratics and rational expressions. 
Varsity Tutors offers resources like free Algebra II Diagnostic Tests to help with your self-paced study, or you may want to consider an Algebra II tutor.


Algebra II also introduces many intermediate topics into the equations and functions that students grew familiar with in Algebra I. These include imaginary numbers and irrational numbers. Students also learn to manipulate fractions and exponents and are likely to encounter them in functions. Logarithms, factorials, and radicals are also introduced, and students learn to work with each.

Understanding Algebra II concepts is not only a crucial element of doing well on standardized tests like the ACT and SAT that may affect students’ college applications, but is also an important mathematical basis for the more complex scientific and mathematical material they learn in later classes. Practicing Algebra II material is thus a great way to either brush up on rusty skills or learn new concepts. You can practice Algebra II concepts right now by using Varsity Tutors’ free Algebra II Practice Tests. Each twelve-question Practice Test functions as a multiple-choice quiz drawing from various Algebra II topics. After completing a Practice Test, each test taker receives detailed statistics about his or her performance, including access to a complete step-by-step answer for each problem. Using these explanations, students can pinpoint exactly where they made a mistake in any problems they answer incorrectly, allowing them to learn from their mistake.  In addition to the Algebra II Practice Tests and Algebra II tutoring, you may also want to consider taking some of our Algebra II Flashcards.

You can also evaluate your full range of skills by taking a free online Full-Length Algebra II Practice Test. Each complete practice test will ask you to draw on all of your algebra skills, making it a great way to gauge your knowledge level at any point in your study process. Once you finish the test, the results page will give you your score along with informative metrics, detailed explanations, and additional review resources. These online practice tests are a great way to formulate a personalized Algebra II study plan by helping you discover which concepts are in need of more attention. Once you’ve spend some time reviewing, take another Full-Length Algebra II Practice Test to get an idea of your new skill level.

By keeping their Algebra II skills sharp, students can prepare themselves for success in their later math and science classes!

 

Free Algebra II Practice Tests

Our completely free Algebra II practice tests are the perfect way to brush up your skills. Take one of our many Algebra II practice tests for a run-through of commonly asked questions. You will receive incredibly detailed scoring results at the end of your Algebra II practice test to help you identify your strengths and weaknesses. Pick one of our Algebra II practice tests now and begin!

Practice Tests by Concept

Basic single-variable algebra practice test

Questions: 8
Test Difficulty:
Average Time Spent: 6 mins

Equations practice test

Questions: 3
Test Difficulty:
Average Time Spent: 2 mins 41 secs

Setting up equations practice test

Questions: 1
Test Difficulty:
Average Time Spent: 47 secs

Simplifying equations practice test

Questions: 5
Test Difficulty:
Average Time Spent: 7 mins

Solving equations practice test

Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 5 secs

Expressions practice test

Questions: 1
Test Difficulty:
Average Time Spent: 12 secs

Setting up expressions practice test

Questions: 2
Test Difficulty:
Average Time Spent: 15 mins

Simplifying expressions practice test

Questions: 1
Test Difficulty:
Average Time Spent: 12 secs

Solving expressions practice test

Questions: 4
Test Difficulty:
Average Time Spent: 3 mins

Inequalities practice test

Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 13 secs

Setting up inequalities practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 23 secs

Simplifying inequalities practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 44 secs

Solving inequalities practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 8 secs

Proportionalities practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 16 secs

Direct proportionality practice test

Questions: 2
Test Difficulty:
Average Time Spent: 42 secs

Indirect proportionality practice test

Questions: 2
Test Difficulty:
Average Time Spent: 3 mins

Basic statistics practice test

Questions: 3
Test Difficulty:
Average Time Spent: 4 mins

Data properties practice test

Questions: 2
Test Difficulty:
Average Time Spent: 55 secs

Mean practice test

Questions: 1
Test Difficulty:
Average Time Spent: 57 secs

Median practice test

Questions: 1
Test Difficulty:
Average Time Spent: 55 secs

Mode practice test

Questions: 3
Test Difficulty:
Average Time Spent: 1 mins 42 secs

Range practice test

Questions: 3
Test Difficulty:
Average Time Spent: 54 secs

Graphing data practice test

Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 2 secs

Distributions and curves practice test

Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 59 secs

Normal distributions practice test

Questions: 3
Test Difficulty:
Average Time Spent: 1 mins 51 secs

Z-scores practice test

Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 14 secs

Variable relationships practice test

Questions: 1
Test Difficulty:
Average Time Spent: 48 secs

Extrapolations practice test

Questions: 2
Test Difficulty:
Average Time Spent: 3 mins

Identifying variable relationships practice test

Questions: 1
Test Difficulty:
Average Time Spent: 25 secs

Interpolations practice test

Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 42 secs

Representing data practice test

Questions: 4
Test Difficulty:
Average Time Spent: 2 mins 7 secs

Box and whisker plots practice test

Questions: 6
Test Difficulty:
Average Time Spent: 2 mins 34 secs

Histograms practice test

Questions: 3
Test Difficulty:
Average Time Spent: 2 mins 22 secs

Scatter plots practice test

Questions: 3
Test Difficulty:
Average Time Spent: 57 secs

Stem and leaf plots practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 28 secs

Statistical concepts practice test

Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 15 secs

Deviation concepts practice test

Questions: 2
Test Difficulty:
Average Time Spent: 3 mins

Standard deviation practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 43 secs

Variance practice test

Questions: 3
Test Difficulty:
Average Time Spent: 3 mins

General concepts practice test

Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 0 secs

Frequency distributions practice test

Questions: 7
Test Difficulty:
Average Time Spent: 3 mins

Percentiles practice test

Questions: 2
Test Difficulty:
Average Time Spent: 40 secs

Quartiles practice test

Questions: 3
Test Difficulty:
Average Time Spent: 3 mins

Functions and graphs practice test

Questions: 15
Test Difficulty:
Average Time Spent: 25 mins

Introduction to functions practice test

Questions: 5
Test Difficulty:
Average Time Spent: 4 mins

Domain and range practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 3 secs

Function notation practice test

Questions: 2
Test Difficulty:
Average Time Spent: 3 mins

Functions as graphs practice test

Questions: 1
Test Difficulty:
Average Time Spent: 15 secs

Inverse functions practice test

Questions: 6
Test Difficulty:
Average Time Spent: 2 mins 31 secs

Transformations practice test

Questions: 7
Test Difficulty:
Average Time Spent: 3 hrs 15 mins

Linear functions practice test

Questions: 2
Test Difficulty:
Average Time Spent: 26 secs

Graphing linear functions practice test

Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 6 secs

Transformations of linear functions practice test

Questions: 2
Test Difficulty:
Average Time Spent: 28 secs

Vertical and horizontal lines practice test

Questions: 2
Test Difficulty:
Average Time Spent: 31 secs

Polynomial functions practice test

Questions: 1
Test Difficulty:
Average Time Spent: 26 secs

Graphing polynomial functions practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 6 secs

Polynomial functions practice test

Questions: 1
Test Difficulty:
Average Time Spent: 10 secs

Transformations of polynomial functions practice test

Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 12 secs

Quadratic functions practice test

Questions: 8
Test Difficulty:
Average Time Spent: 16 mins

Circle functions practice test

Questions: 4
Test Difficulty:
Average Time Spent: 5 mins

Center and radius of circle functions practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 9 secs

Circle functions practice test

Questions: 2
Test Difficulty:
Average Time Spent: 20 secs

Graphing circle functions practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 32 secs

Hyperbolic functions practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 24 secs

Graphing hyperbolic functions practice test

Questions: 3
Test Difficulty:
Average Time Spent: 1 mins 56 secs

Hyperbolic functions practice test

Questions: 2
Test Difficulty:

Parabolic functions practice test

Questions: 4
Test Difficulty:
Average Time Spent: 1 mins 7 secs

Graphing parabolas practice test

Questions: 1
Test Difficulty:
Average Time Spent: 23 secs

Parabolic functions practice test

Questions: 2
Test Difficulty:
Average Time Spent: 29 secs

Transformations of parabolic functions practice test

Questions: 1
Test Difficulty:
Average Time Spent: 27 secs

Quadratic inequalities practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 33 secs

Graphing circular inequalities practice test

Questions: 13
Test Difficulty:
Average Time Spent: 27 secs

Graphing hyperbolic inequalities practice test

Questions: 2
Test Difficulty:
Average Time Spent: 24 secs

Graphing parabolic inequalities practice test

Questions: 2
Test Difficulty:
Average Time Spent: 30 secs

Intermediate single-variable algebra practice test

Questions: 9
Test Difficulty:
Average Time Spent: 18 mins

Polynomials practice test

Questions: 3
Test Difficulty:
Average Time Spent: 59 secs

Factoring polynomials practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 37 secs

Non-quadratic polynomials practice test

Questions: 1
Test Difficulty:
Average Time Spent: 13 secs

Simplifying polynomials practice test

Questions: 1
Test Difficulty:
Average Time Spent: 2 mins 44 secs

Quadratic equations and inequalities practice test

Questions: 5
Test Difficulty:
Average Time Spent: 4 mins

Solving quadratic equations practice test

Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 26 secs

Completing the square practice test

Questions: 7
Test Difficulty:
Average Time Spent: 5 mins

Finding roots practice test

Questions: 5
Test Difficulty:
Average Time Spent: 3 mins

Quadratic formula practice test

Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 26 secs

Quadratic inequalities practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 58 secs

Understanding quadratic equations practice test

Questions: 4
Test Difficulty:
Average Time Spent: 1 mins 55 secs

Discriminants practice test

Questions: 1
Test Difficulty:

Foil practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 39 secs

Quadratic roots practice test

Questions: 2
Test Difficulty:
Average Time Spent: 3 mins

Simplifying and expanding quadratics practice test

Questions: 1
Test Difficulty:
Average Time Spent: 18 secs

Rational expressions practice test

Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 10 secs

Solving rational expressions practice test

Questions: 1
Test Difficulty:
Average Time Spent: 2 mins 35 secs

Adding and subtracting rational expressions practice test

Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 49 secs

Factoring rational expressions practice test

Questions: 1
Test Difficulty:
Average Time Spent: 22 secs

Multiplying and dividing rational expressions practice test

Questions: 2
Test Difficulty:
Average Time Spent: 3 mins

Solving rational expressions practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 34 secs

Understanding rational expressions practice test

Questions: 2
Test Difficulty:
Average Time Spent: 38 secs

Definition of rational expression practice test

Questions: 1
Test Difficulty:
Average Time Spent: 35 secs

Least common denominator practice test

Questions: 2
Test Difficulty:

Properties of fractions practice test

Questions: 1
Test Difficulty:

Mathematical relationships and basic graphs practice test

Questions: 28
Test Difficulty:
Average Time Spent: 9 mins

Absolute value practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 37 secs

Graphing absolute value functions practice test

Questions: 3
Test Difficulty:
Average Time Spent: 1 mins 28 secs

Solving absolute value equations practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 39 secs

Elementary operations practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 18 secs

Addition and subtraction practice test

Questions: 4
Test Difficulty:
Average Time Spent: 33 secs

Multiplication and division practice test

Questions: 3
Test Difficulty:
Average Time Spent: 1 mins 6 secs

Exponents practice test

Questions: 11
Test Difficulty:
Average Time Spent: 6 mins

Applying exponents practice test

Questions: 2
Test Difficulty:

Interest equations practice test

Questions: 2
Test Difficulty:

Other exponent applications practice test

Questions: 2
Test Difficulty:
Average Time Spent: 6 mins

Radioactive decay equations practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 48 secs

Simplifying exponents practice test

Questions: 4
Test Difficulty:
Average Time Spent: 3 mins

Distributing exponents (power rule) practice test

Questions: 3
Test Difficulty:
Average Time Spent: 1 mins 51 secs

Multiplying and dividing exponents practice test

Questions: 1
Test Difficulty:
Average Time Spent: 21 secs

Solving and graphing exponential equations practice test

Questions: 3
Test Difficulty:
Average Time Spent: 45 secs

Asymptotes practice test

Questions: 1
Test Difficulty:
Average Time Spent: 26 secs

Graphing exponential functions practice test

Questions: 2
Test Difficulty:
Average Time Spent: 47 secs

Solving exponential equations practice test

Questions: 2
Test Difficulty:
Average Time Spent: 41 secs

Understanding exponents practice test

Questions: 4
Test Difficulty:
Average Time Spent: 7 mins

Fractional exponents practice test

Questions: 3
Test Difficulty:
Average Time Spent: 52 secs

Negative exponents practice test

Questions: 1
Test Difficulty:
Average Time Spent: 30 secs

Simple exponents practice test

Questions: 3
Test Difficulty:
Average Time Spent: 2 mins 29 secs

Using e practice test

Questions: 2
Test Difficulty:
Average Time Spent: 3 mins

Factorials practice test

Questions: 5
Test Difficulty:
Average Time Spent: 2 mins 37 secs

Multiplying and dividing factorials practice test

Questions: 4
Test Difficulty:
Average Time Spent: 3 mins

Other factorials practice test

Questions: 1
Test Difficulty:

Value of e practice test

Questions: 1
Test Difficulty:

Fractions practice test

Questions: 1
Test Difficulty:
Average Time Spent: 11 secs

Adding and subtracting fractions practice test

Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 1 secs

Least common denominator in fractions practice test

Questions: 2
Test Difficulty:
Average Time Spent: 42 secs

Multiplying and dividing fractions practice test

Questions: 3
Test Difficulty:
Average Time Spent: 3 mins

Imaginary numbers practice test

Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 18 secs

Basic operations with complex numbers practice test

Questions: 2
Test Difficulty:
Average Time Spent: 36 secs

Complex imaginary numbers practice test

Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 1 secs

Equations with complex numbers practice test

Questions: 2
Test Difficulty:
Average Time Spent: 5 secs

Graphing functions with complex numbers practice test

Questions: 2
Test Difficulty:

Logarithms practice test

Questions: 3
Test Difficulty:
Average Time Spent: 1 mins 8 secs

Simplifying logarithms practice test

Questions: 1
Test Difficulty:
Average Time Spent: 21 secs

Adding and subtracting logarithms practice test

Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 20 secs

Logarithms with exponents practice test

Questions: 2
Test Difficulty:
Average Time Spent: 43 secs

Multiplying and dividing logarithms practice test

Questions: 1
Test Difficulty:
Average Time Spent: 2 mins 3 secs

Solving and graphing logarithms practice test

Questions: 1
Test Difficulty:
Average Time Spent: 24 secs

Graphing logarithmic functions practice test

Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 48 secs

Solving logarithms practice test

Questions: 1
Test Difficulty:
Average Time Spent: 1 d 22 hrs

Understanding logarithms practice test

Questions: 2
Test Difficulty:
Average Time Spent: 13 secs

Log-base-10 practice test

Questions: 1
Test Difficulty:
Average Time Spent: 7 secs

Logarithms and exponents practice test

Questions: 1
Test Difficulty:
Average Time Spent: 55 secs

Natural log practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 49 secs

Radicals practice test

Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 26 secs

Simplifying radicals practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 51 secs

Adding and subtracting radicals practice test

Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 2 secs

Factoring radicals practice test

Questions: 1
Test Difficulty:
Average Time Spent: 8 secs

Multiplying and dividing radicals practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 44 secs

Radicals and fractions practice test

Questions: 2
Test Difficulty:
Average Time Spent: 32 secs

Solving and graphing radicals practice test

Questions: 2
Test Difficulty:

Graphing radical functions practice test

Questions: 5
Test Difficulty:
Average Time Spent: 1 mins 30 secs

Solving radical equations practice test

Questions: 4
Test Difficulty:
Average Time Spent: 3 mins

Understanding radicals practice test

Questions: 1
Test Difficulty:
Average Time Spent: 12 secs

Non-square radicals practice test

Questions: 1
Test Difficulty:
Average Time Spent: 19 secs

Radicals as exponents practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 44 secs

Square roots practice test

Questions: 2
Test Difficulty:
Average Time Spent: 3 mins

Summations and sequences practice test

Questions: 2
Test Difficulty:
Average Time Spent: 53 secs

Arithmetic series practice test

Questions: 1
Test Difficulty:
Average Time Spent: 51 secs

Geometric sequences practice test

Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 20 secs

Infinte series practice test

Questions: 1
Test Difficulty:
Average Time Spent: 29 secs

Other sequences and series practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 39 secs

Sigma notation practice test

Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 32 secs

Number theory practice test

Questions: 2
Test Difficulty:
Average Time Spent: 27 secs

Irrational numbers practice test

Questions: 2
Test Difficulty:
Average Time Spent: 16 secs

Number lines practice test

Questions: 2
Test Difficulty:

Number sets practice test

Questions: 6
Test Difficulty:
Average Time Spent: 2 mins 22 secs

Real numbers practice test

Questions: 12
Test Difficulty:
Average Time Spent: 2 mins 2 secs

Types of numbers practice test

Questions: 2
Test Difficulty:
Average Time Spent: 16 secs

Probability practice test

Questions: 2
Test Difficulty:

Binomial theorem practice test

Questions: 2
Test Difficulty:
Average Time Spent: 3 mins

Calculating probability practice test

Questions: 2
Test Difficulty:
Average Time Spent: 37 secs

Permutations practice test

Questions: 2
Test Difficulty:
Average Time Spent: 57 secs
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