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.
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 Miami, Algebra 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!
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
algebra_ii-basic-single-variable-algebra
Questions: 8
Test Difficulty:
Average Time Spent: 11 mins
algebra_ii-equations
Questions: 3
Test Difficulty:
Average Time Spent: 2 mins 15 secs
algebra_ii-setting-up-equations
Questions: 1
Test Difficulty:
Average Time Spent: 47 secs
algebra_ii-simplifying-equations
Questions: 5
Test Difficulty:
Average Time Spent: 5 mins
algebra_ii-solving-equations
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 32 secs
algebra_ii-expressions
Questions: 1
Test Difficulty:
Average Time Spent: 11 secs
algebra_ii-setting-up-expressions
Questions: 2
Test Difficulty:
Average Time Spent: 7 mins
algebra_ii-simplifying-expressions
Questions: 1
Test Difficulty:
Average Time Spent: 18 secs
algebra_ii-solving-expressions
Questions: 4
Test Difficulty:
Average Time Spent: 3 mins
algebra_ii-inequalities
Questions: 2
Test Difficulty:
Average Time Spent: 54 secs
algebra_ii-setting-up-inequalities
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 23 secs
algebra_ii-simplifying-inequalities
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 33 secs
algebra_ii-solving-inequalities
Questions: 2
Test Difficulty:
Average Time Spent: 58 secs
algebra_ii-proportionalities
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 7 secs
algebra_ii-direct-proportionality
Questions: 2
Test Difficulty:
Average Time Spent: 42 secs
algebra_ii-indirect-proportionality
Questions: 2
Test Difficulty:
Average Time Spent: 3 mins
algebra_ii-basic-statistics
Questions: 3
Test Difficulty:
Average Time Spent: 4 mins
algebra_ii-data-properties
Questions: 2
Test Difficulty:
Average Time Spent: 55 secs
algebra_ii-mean
Questions: 1
Test Difficulty:
Average Time Spent: 57 secs
algebra_ii-median
Questions: 1
Test Difficulty:
Average Time Spent: 55 secs
algebra_ii-mode
Questions: 3
Test Difficulty:
Average Time Spent: 1 mins 32 secs
algebra_ii-range
Questions: 3
Test Difficulty:
Average Time Spent: 54 secs
algebra_ii-graphing-data
Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 2 secs
algebra_ii-distributions-and-curves
Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 59 secs
algebra_ii-normal-distributions
Questions: 3
Test Difficulty:
Average Time Spent: 1 mins 51 secs
algebra_ii-z-scores
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 16 secs
algebra_ii-variable-relationships
Questions: 1
Test Difficulty:
Average Time Spent: 48 secs
algebra_ii-extrapolations
Questions: 2
Test Difficulty:
Average Time Spent: 3 mins
algebra_ii-identifying-variable-relationships
Questions: 1
Test Difficulty:
Average Time Spent: 38 secs
algebra_ii-interpolations
Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 42 secs
algebra_ii-representing-data
Questions: 4
Test Difficulty:
Average Time Spent: 2 mins 7 secs
algebra_ii-box-and-whisker-plots
Questions: 6
Test Difficulty:
Average Time Spent: 3 mins
algebra_ii-histograms
Questions: 3
Test Difficulty:
Average Time Spent: 2 mins 22 secs
algebra_ii-scatter-plots
Questions: 3
Test Difficulty:
Average Time Spent: 57 secs
algebra_ii-stem-and-leaf-plots
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 12 secs
algebra_ii-statistical-concepts
Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 15 secs
algebra_ii-deviation-concepts
Questions: 2
Test Difficulty:
Average Time Spent: 3 mins
algebra_ii-standard-deviation
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 43 secs
algebra_ii-variance
Questions: 3
Test Difficulty:
Average Time Spent: 3 mins
algebra_ii-general-concepts
Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 0 secs
algebra_ii-frequency-distributions
Questions: 7
Test Difficulty:
Average Time Spent: 3 mins
algebra_ii-percentiles
Questions: 2
Test Difficulty:
Average Time Spent: 40 secs
algebra_ii-quartiles
Questions: 3
Test Difficulty:
Average Time Spent: 3 mins
algebra_ii-functions-and-graphs
Questions: 15
Test Difficulty:
Average Time Spent: 17 mins
algebra_ii-introduction-to-functions
Questions: 5
Test Difficulty:
Average Time Spent: 3 mins
algebra_ii-domain-and-range
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 3 secs
algebra_ii-function-notation
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 49 secs
algebra_ii-functions-as-graphs
Questions: 1
Test Difficulty:
Average Time Spent: 15 secs
algebra_ii-inverse-functions
Questions: 6
Test Difficulty:
Average Time Spent: 3 mins
algebra_ii-transformations
Questions: 7
Test Difficulty:
Average Time Spent: 3 hrs 15 mins
algebra_ii-linear-functions
Questions: 2
Test Difficulty:
Average Time Spent: 26 secs
algebra_ii-graphing-linear-functions
Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 6 secs
algebra_ii-transformations-of-linear-functions
Questions: 2
Test Difficulty:
Average Time Spent: 44 secs
algebra_ii-vertical-and-horizontal-lines
Questions: 2
Test Difficulty:
Average Time Spent: 31 secs
algebra_ii-polynomial-functions
Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 8 secs
algebra_ii-graphing-polynomial-functions
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 6 secs
algebra_ii-polynomial-functions
Questions: 1
Test Difficulty:
Average Time Spent: 10 secs
algebra_ii-transformations-of-polynomial-functions
Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 12 secs
algebra_ii-quadratic-functions
Questions: 8
Test Difficulty:
Average Time Spent: 15 mins
algebra_ii-circle-functions
Questions: 4
Test Difficulty:
Average Time Spent: 5 mins
algebra_ii-center-and-radius-of-circle-functions
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 9 secs
algebra_ii-circle-functions
Questions: 2
Test Difficulty:
Average Time Spent: 20 secs
algebra_ii-graphing-circle-functions
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 32 secs
algebra_ii-hyperbolic-functions
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 24 secs
algebra_ii-graphing-hyperbolic-functions
Questions: 3
Test Difficulty:
Average Time Spent: 1 mins 56 secs
algebra_ii-hyperbolic-functions
Questions: 2
Test Difficulty:
algebra_ii-parabolic-functions
Questions: 4
Test Difficulty:
Average Time Spent: 1 mins 7 secs
algebra_ii-graphing-parabolas
Questions: 1
Test Difficulty:
Average Time Spent: 23 secs
algebra_ii-parabolic-functions
Questions: 2
Test Difficulty:
Average Time Spent: 30 secs
algebra_ii-transformations-of-parabolic-functions
Questions: 1
Test Difficulty:
Average Time Spent: 58 secs
algebra_ii-quadratic-inequalities
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 33 secs
algebra_ii-graphing-circular-inequalities
Questions: 13
Test Difficulty:
Average Time Spent: 27 secs
algebra_ii-graphing-hyperbolic-inequalities
Questions: 2
Test Difficulty:
Average Time Spent: 24 secs
algebra_ii-graphing-parabolic-inequalities
Questions: 2
Test Difficulty:
Average Time Spent: 30 secs
algebra_ii-intermediate-single-variable-algebra
Questions: 9
Test Difficulty:
Average Time Spent: 16 mins
algebra_ii-polynomials
Questions: 3
Test Difficulty:
Average Time Spent: 1 mins 14 secs
algebra_ii-factoring-polynomials
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 4 secs
algebra_ii-non-quadratic-polynomials
Questions: 1
Test Difficulty:
Average Time Spent: 13 secs
algebra_ii-simplifying-polynomials
Questions: 1
Test Difficulty:
Average Time Spent: 2 mins 44 secs
algebra_ii-quadratic-equations-and-inequalities
Questions: 5
Test Difficulty:
Average Time Spent: 4 mins
algebra_ii-solving-quadratic-equations
Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 26 secs
algebra_ii-completing-the-square
Questions: 7
Test Difficulty:
Average Time Spent: 4 mins
algebra_ii-finding-roots
Questions: 5
Test Difficulty:
Average Time Spent: 2 mins 46 secs
algebra_ii-quadratic-formula
Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 9 secs
algebra_ii-quadratic-inequalities
Questions: 2
Test Difficulty:
Average Time Spent: 3 mins
algebra_ii-understanding-quadratic-equations
Questions: 4
Test Difficulty:
Average Time Spent: 1 mins 53 secs
algebra_ii-discriminants
Questions: 1
Test Difficulty:
algebra_ii-foil
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 39 secs
algebra_ii-quadratic-roots
Questions: 2
Test Difficulty:
Average Time Spent: 3 mins
algebra_ii-simplifying-and-expanding-quadratics
Questions: 1
Test Difficulty:
Average Time Spent: 18 secs
algebra_ii-rational-expressions
Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 10 secs
algebra_ii-solving-rational-expressions
Questions: 1
Test Difficulty:
Average Time Spent: 2 mins 35 secs
algebra_ii-adding-and-subtracting-rational-expressions
Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 49 secs
algebra_ii-factoring-rational-expressions
Questions: 1
Test Difficulty:
Average Time Spent: 22 secs
algebra_ii-multiplying-and-dividing-rational-expressions
Questions: 2
Test Difficulty:
Average Time Spent: 3 mins
algebra_ii-solving-rational-expressions
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 34 secs
algebra_ii-understanding-rational-expressions
Questions: 2
Test Difficulty:
Average Time Spent: 38 secs
algebra_ii-definition-of-rational-expression
Questions: 1
Test Difficulty:
Average Time Spent: 35 secs
algebra_ii-least-common-denominator
Questions: 2
Test Difficulty:
algebra_ii-properties-of-fractions
Questions: 1
Test Difficulty:
algebra_ii-mathematical-relationships-and-basic-graphs
Questions: 28
Test Difficulty:
Average Time Spent: 13 mins
algebra_ii-absolute-value
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 37 secs
algebra_ii-graphing-absolute-value-functions
Questions: 3
Test Difficulty:
Average Time Spent: 1 mins 28 secs
algebra_ii-solving-absolute-value-equations
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 39 secs
algebra_ii-elementary-operations
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 18 secs
algebra_ii-addition-and-subtraction
Questions: 4
Test Difficulty:
Average Time Spent: 3 mins
algebra_ii-multiplication-and-division
Questions: 3
Test Difficulty:
Average Time Spent: 1 mins 6 secs
algebra_ii-exponents
Questions: 11
Test Difficulty:
Average Time Spent: 6 mins
algebra_ii-applying-exponents
Questions: 2
Test Difficulty:
algebra_ii-interest-equations
Questions: 2
Test Difficulty:
algebra_ii-other-exponent-applications
Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 41 secs
algebra_ii-radioactive-decay-equations
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 48 secs
algebra_ii-simplifying-exponents
Questions: 4
Test Difficulty:
Average Time Spent: 3 mins
algebra_ii-distributing-exponents-power-rule
Questions: 3
Test Difficulty:
Average Time Spent: 1 mins 51 secs
algebra_ii-multiplying-and-dividing-exponents
Questions: 1
Test Difficulty:
Average Time Spent: 21 secs
algebra_ii-solving-and-graphing-exponential-equations
Questions: 3
Test Difficulty:
Average Time Spent: 45 secs
algebra_ii-asymptotes
Questions: 1
Test Difficulty:
Average Time Spent: 20 secs
algebra_ii-graphing-exponential-functions
Questions: 2
Test Difficulty:
Average Time Spent: 47 secs
algebra_ii-solving-exponential-equations
Questions: 2
Test Difficulty:
Average Time Spent: 47 secs
algebra_ii-understanding-exponents
Questions: 4
Test Difficulty:
Average Time Spent: 7 mins
algebra_ii-fractional-exponents
Questions: 3
Test Difficulty:
Average Time Spent: 1 mins 12 secs
algebra_ii-negative-exponents
Questions: 1
Test Difficulty:
Average Time Spent: 30 secs
algebra_ii-simple-exponents
Questions: 3
Test Difficulty:
Average Time Spent: 2 mins 29 secs
algebra_ii-using-e
Questions: 2
Test Difficulty:
Average Time Spent: 3 mins
algebra_ii-factorials
Questions: 5
Test Difficulty:
Average Time Spent: 2 mins 3 secs
algebra_ii-multiplying-and-dividing-factorials
Questions: 4
Test Difficulty:
Average Time Spent: 2 mins 9 secs
algebra_ii-other-factorials
Questions: 1
Test Difficulty:
algebra_ii-value-of-e
Questions: 1
Test Difficulty:
algebra_ii-fractions
Questions: 1
Test Difficulty:
Average Time Spent: 11 secs
algebra_ii-adding-and-subtracting-fractions
Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 1 secs
algebra_ii-least-common-denominator-in-fractions
Questions: 2
Test Difficulty:
Average Time Spent: 42 secs
algebra_ii-multiplying-and-dividing-fractions
Questions: 3
Test Difficulty:
Average Time Spent: 3 mins
algebra_ii-imaginary-numbers
Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 18 secs
algebra_ii-basic-operations-with-complex-numbers
Questions: 2
Test Difficulty:
Average Time Spent: 35 secs
algebra_ii-complex-imaginary-numbers
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 58 secs
algebra_ii-equations-with-complex-numbers
Questions: 2
Test Difficulty:
Average Time Spent: 4 mins
algebra_ii-graphing-functions-with-complex-numbers
Questions: 2
Test Difficulty:
algebra_ii-logarithms
Questions: 3
Test Difficulty:
Average Time Spent: 1 mins 0 secs
algebra_ii-simplifying-logarithms
Questions: 1
Test Difficulty:
Average Time Spent: 21 secs
algebra_ii-adding-and-subtracting-logarithms
Questions: 1
Test Difficulty:
Average Time Spent: 14 secs
algebra_ii-logarithms-with-exponents
Questions: 2
Test Difficulty:
Average Time Spent: 43 secs
algebra_ii-multiplying-and-dividing-logarithms
Questions: 1
Test Difficulty:
Average Time Spent: 2 mins 3 secs
algebra_ii-solving-and-graphing-logarithms
Questions: 1
Test Difficulty:
Average Time Spent: 24 secs
algebra_ii-graphing-logarithmic-functions
Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 48 secs
algebra_ii-solving-logarithms
Questions: 1
Test Difficulty:
Average Time Spent: 1 d 22 hrs
algebra_ii-understanding-logarithms
Questions: 2
Test Difficulty:
Average Time Spent: 13 secs
algebra_ii-log-base-10
Questions: 1
Test Difficulty:
Average Time Spent: 6 secs
algebra_ii-logarithms-and-exponents
Questions: 1
Test Difficulty:
Average Time Spent: 55 secs
algebra_ii-natural-log
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 49 secs
algebra_ii-radicals
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 10 secs
algebra_ii-simplifying-radicals
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 1 secs
algebra_ii-adding-and-subtracting-radicals
Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 2 secs
algebra_ii-factoring-radicals
Questions: 1
Test Difficulty:
Average Time Spent: 8 secs
algebra_ii-multiplying-and-dividing-radicals
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 44 secs
algebra_ii-radicals-and-fractions
Questions: 2
Test Difficulty:
Average Time Spent: 32 secs
algebra_ii-solving-and-graphing-radicals
Questions: 2
Test Difficulty:
algebra_ii-graphing-radical-functions
Questions: 5
Test Difficulty:
Average Time Spent: 1 mins 55 secs
algebra_ii-solving-radical-equations
Questions: 4
Test Difficulty:
Average Time Spent: 3 mins
algebra_ii-understanding-radicals
Questions: 1
Test Difficulty:
Average Time Spent: 12 secs
algebra_ii-non-square-radicals
Questions: 1
Test Difficulty:
Average Time Spent: 19 secs
algebra_ii-radicals-as-exponents
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 44 secs
algebra_ii-square-roots
Questions: 2
Test Difficulty:
Average Time Spent: 3 mins
algebra_ii-summations-and-sequences
Questions: 2
Test Difficulty:
Average Time Spent: 53 secs
algebra_ii-arithmetic-series
Questions: 1
Test Difficulty:
Average Time Spent: 51 secs
algebra_ii-geometric-sequences
Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 20 secs
algebra_ii-infinte-series
Questions: 1
Test Difficulty:
Average Time Spent: 26 secs
algebra_ii-other-sequences-and-series
Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 39 secs
algebra_ii-sigma-notation
Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 35 secs
algebra_ii-number-theory
Questions: 2
Test Difficulty:
Average Time Spent: 27 secs
algebra_ii-irrational-numbers
Questions: 2
Test Difficulty:
Average Time Spent: 16 secs
algebra_ii-number-lines
Questions: 2
Test Difficulty:
algebra_ii-number-sets
Questions: 6
Test Difficulty:
Average Time Spent: 2 mins 22 secs
algebra_ii-real-numbers
Questions: 12
Test Difficulty:
Average Time Spent: 3 mins
algebra_ii-types-of-numbers
Questions: 2
Test Difficulty:
Average Time Spent: 36 secs
algebra_ii-probability
Questions: 2
Test Difficulty:
algebra_ii-binomial-theorem
Questions: 2
Test Difficulty:
Average Time Spent: 3 mins
algebra_ii-calculating-probability
Questions: 2
Test Difficulty:
Average Time Spent: 37 secs
algebra_ii-permutations
Questions: 2
Test Difficulty:
Average Time Spent: 57 secs