Advanced Algebra 2 practice tests and more

By understanding algebra 2 concepts, one can further their application of scientific knowledge such as gravitational pull (see bonus page for algebra 2 gravitational 2 questions)

Each of the following topics has at least a practice test, read the description of each topic to see what will be on it. To access the pdf, click on the green link and the pdf will open in another tab.

Properties of algebra and sets (unit 1 test)

Determining elements of sets
Using interval notation
Determining whether numbers are Real, Whole Numbers, Natural Numbers, etc
Determining closed sets
Using equality properties

Properties of algebra and sets practice test (unit 1)

Solving equations, inequalities, and word problems (unit 2a quiz)

solving basic inequality equations

solving equations with multiple fractions with different denominators with one or multiple variables
investment word problems
mixture problems (mixing liquids and solutions to get certain concentrations)
rate * time = distance problems

Solving equations, inequalities, and word problems practice test (unit 2a)

Solving equations, inequalities, and word problems (unit 2a test)

solving absolute value equations
solving absolute value inequalities
mixture problems (mixing liquids and solutions to get certain concentrations)
rate * time = distance problems

Solving equations, inequalities, and word problems practice test (unit 2a)

Graphing equations and slopes (unit 2b quiz)

writing equations of lines in standard, slope-intercept, and point-slope forms
finding perpendicular and parallel lines
finding the slope of a line with points, y-intercepts, or x-intercepts

Graphing equations and slopes practice test (unit 2b)

Graphing inequalities and interpreting inequality graphs (unit 2b test)

graphing using piece-wise functions

writing piece-wise functions based on graphs
graphing equations with one or two inequalities using breakpoints
graphing inequalities such as |x+3y+8|=|-2x-y+3|+3

Graphing inequalities and interpreting inequality graphs practice test (unit 2b)

Domain and range/variations (unit 2c test)

variation (joint, direct, inverse) word problems
finding inverses, adding, subtracting, and multiplying functions
transforming functions using reflections
matching functions with transformations
matching functions with graphs
determining domain and range from functions (graphs and equations)

Domain and range/variations practice test (unit 2c)

Domain and range worksheet/explanations

Variations worksheet/explanations

Solving systems of inequalities (unit 3a test)

using systems of of inequalities to solve word problems
solving systems of 3 inequalities using non-matrix methods

Solving systems of inequalities practice test (unit 3A)

Linear Programming (unit 3b test)

linear programming word problems

Linear programming practice test (unit 3b)

Matrices (unit 3c test)

using determinants to solve for variables
adding and subtracting matrices
using Cramer’s rule to use matrices to solve systems
finding inverses of matrices with and without calculators
finding slope of lines and area of triangles using matrices
using matrices to solve word problems

Matrices practice test (unit 3c)

Binomial Expansion (unit 4a quiz)

finding specific terms and constants in binomials

expanding binomials to large exponents
using pascal numbers
finding degrees
multiplying complicated polynomials
performing operations using exponential knowledge

Binomial expansion practice quiz (unit 4a)

Factoring complex polynomials (unit 4b quiz)

factoring binomials

factoring differences of cubes
solving polynomials for x
factoring differences of squares (and complex differences of squares)

Factoring complex polynomials (unit 4b) practice quiz

Long Division of polynomials (unit 4c quiz)

dividing polynomials using synthetic division
finding constants to in long division using synthetic division
factoring polynomials using difference of squares
factoring using factor theorem
solving equations with polynomials for multiple values (3 to 4) of variables
dividing polynomials using long division

Long division of polynomials practice quiz (unit 4c)

Long division of polynomials practice quiz (unit 4c) answer key

Simplifying fractions (unit 5 quiz)

finding asymptotes and holes of rational functions
simplifying complex fractions using addition, subtraction, multiplication, and division

Simplifying fractions practice test unit 5 (part 1)

Simplifying fractions practice test answer key unit 5 (part 1)

Simplifying fractions (unit 5 Test)

finding asymptotes and holes of rational functions
simplifying complex fractions using addition, subtraction, multiplication, and division
solving equations using complex fractions
using complex fractions to effectively solve word problems

Simplifying fractions practice test unit 5 (part 2)

Simplifying fractions practice test unit 5 (part 2) answer key

Radicals (unit 6 quiz)

simplifying radicals using square roots
simplifying radicals using exponents
methods for removing radicals from denominators

Radicals practice quiz (unit 6)

Radicals practice quiz (unit 6) answer key

Solving with radicals and imaginary numbers (Unit 6 test)

Solving for variables by getting rid of radicals
Solving for variables by getting rid of fractional exponents
Simplifying expressions containing imaginary numbers
Solving for variables in equations containing imaginary numbers
Solving systems of equations containing imaginary numbers
Solving with radicals and imaginary numbers practice test (Unit 6 )
Solving with radicals and imaginary numbers practice test (Unit 6 ) answer key