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Algebra 2 Practice Test with Answers PDF Version

Tap into the insights post-COVID from 87 surveyed high school math teachers with my comprehensive pretest. Access my 10-page complimentary Algebra 2 pretest with answers here! These 87 teachers responded to my inquiry of an all-familiar post-COVID problem: What skills do you wish students would have before starting your class? Crafted from their expertise and input, explore additional pretests available for Algebra 1, Geometry, Precalculus, Calculus, and Probability & Statistics.  Click this link to access the other pretests here!

Check Out The Comprehensive Findings and Analysis

from surveying over 80 experienced high school math teachers in the aftermath of COVID-19, spanning across 6 subjects!

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The following is a compiled list from countless teachers regarding their observations of low Algebra 2 skills in the order from most to least popular answers:

  1. How to factor polynomials completely (GCF, by grouping, binomials, and AC method for both cases: a=1 and a NOT 1)
  2. Operations with fractions
  3. Solve multi step linear equations
  4. Integer operations & multiplication table
  5. Quadratic Formula for solving quadratic equations
  6. Order of Operations of integers using rules to simplify algebra expressions, especially with exponents and brackets

7. Identify the basic type of parent functions based on the equation or graph. Example: Which is linear, quadratic, cubic, exponential, etc.?

8. Multiplying fractions with also cross-simplifying (shortcut) and with whole numbers, different denominators, same denominator and improper fractions

9. Squaring a binomial (and knowing its definition or meaning)

10. Computations/evaluations with polynomials

11. Operations with rational expressions (add, subtract, multiply, and divide rational expressions)

12. Graphing linear and quadratic polynomial functions

13. Familiarity with the coordinate grid systems

14. Solve a system of equations and inequalities (including infinite and no solutions)

15. Simplify radical expressions (and with imaginary numbers)

16. Complete the square steps (solving a quadratic equation using complete the square method, and especially where the leading coefficient is not 1)

17. Reading math notation such as f(x), etc.

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List of Topics on the Algebra 2 Pretest

Algebra Basic Skills

  • Multiplication chart – no calculator
  • Perform operations of integers and decimals – no calculator
  • Order of operations (PEMDAS) – no calculator
  • Rationalize the denominator and keep in simplest radical form
  • Foundational concepts. For example: x^4 equals x times itself 4 times, versus 4x equals x added together 4 times
  • Properties of exponents
  • Simplifying radical expressions, also with imaginary solutions

Polynomials

  • Factoring polynomials (AC method, GCF, Difference of Perfect Squares, Sum of Cubes & by Grouping)
  • Given a polynomial expression: identify the degree, leading coefficient, constant, number of terms, and classification (monomial, binomial, etc.)
  • Square a binomial and simplify
  • Operations of polynomials, including long or synthetic division

Solving Inequalities & Equations

  • Solve a quadratic equation by factoring
  • Solve a quadratic equation using the quadratic formula
  • Solve a quadratic equation using the Complete the Square method
  • Solve and graph an inequality
  • Solve one-step and multi-step linear equations
  • Solve using the “butterfly” or cross multiplication method
  • Solve a logarithmic and exponential equation
  • Solve a system of linear equations using all 3 methods (substitution, elimination and graphing)

Graphs & Functions

  • Identify whether the relation and its inverse are functions
  • Identify whether the function is one-to-one
  • Identify the domain and range
  • Given a graph, identify the x and y-intercepts
  • Given two functions f and g: make evaluations, find the composition of functions, and find the inverse function of f
  • Sketch the graph of parent functions
  • Sketch the graphs of transformations of parent functions

Word Problems

  • Write an exponential equation y=a(1+r)^x to model the word problem, and then predict an answer using the model
  • Given a word problem using function notation, students answer questions based on the linear model
  • Given a real-world word problem, students identify the slope and y-intercept of the equation; and then use critical thinking skills to identify what those values mean in the context of the problem
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Algebra 2 Research
Based Preassessment

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Tap into the insights post-COVID from 80+ surveyed high school math teachers with my comprehensive pretests. Access my 10-page complimentary Algebra 2 pretest here! Step-by-step answer key included. These 80+ teachers responded to my inquiry of an all-familiar post-COVID problem: What skills do you wish students would have before starting your class? Crafted from their expertise and input, explore additional pretests available for Algebra 1, Geometry, Precalculus, Calculus, and Probability & Statistics. Click this link to get access to the other pretests!

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