Algebra I Praxis® 5162 Practice Test & Study Guide

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Overview of the Algebra 1 Praxis 5162 Exam

The Algebra 1 Praxis 5162 exam is designed for graduates of mathematics and education programs who are preparing to teach Algebra I to secondary school pupils. Accepted in several U.S. states and territories, this examination provides an opportunity for those who wish to be math teachers to achieve a Praxis Mathematics Algebra I add-on endorsement to their teaching certification.

This examination is a subject-level Praxis test designed to confirm that a candidate has sufficient expertise to become an instructor. Test takers must demonstrate core mathematical competencies, including mastery of fundamental concepts, basic mathematical reasoning, and the ability to solve equations, as well as an understanding of mathematical proofs and models.

Praxis 5162 Exam Format

Candidates performing the Algebra 1 Praxis 5162 examination take the test via computer, and the exam must be completed within a period of 150 minutes. There are three main segments or categories covered on the test, encompassing a total of 60 selected-response questions. Calculators, including cell phones with calculator apps, are forbidden in the test room. However, as calculator functions are required for algebra problems, a graphic calculator that appears on the testing screen is incorporated into the exam.

The first section of Algebra 1 Praxis 5162 contains 23 questions, the second 18 questions, and the third 19 questions. The breakdown of the overall score percentage for each category is as follows:

CATEGORY Estimated Number of Questions Estimated Exam Percentage
Principles of Algebra 23 38%
Functions 18 30%
Number and Quantity; Probability and Statistics 19 32%

A free Praxis 5162 practice test can provide a preview of the types of questions contained in each category.

Praxis Passing Score

Each state that accepts this exam for the Praxis Mathematics Algebra I add-on endorsement will establish its own minimum score requirement. The typical Praxis 5162 passing score falls within a range between 148 and 157. The scoring for this exam follows the common standardized testing practice of awarding points for correct answers while not subtracting points for incorrect responses. Test takers should keep in mind that there are instances in which questions are included that do not count toward the score.

The computerized, selected-response format allows test questions to be scored instantly, which means candidates can see an unofficial score at the end of their test. However, the official score must be accessed through the candidate's online ETS account on the official reporting date of the current testing period. Test takers who do not achieve their state's minimum required score may retake the test after a 28-day waiting period. This delay offers ample time to work with a free Praxis 5162 practice test to improve their subsequent performance.

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Algebra I Praxis Exam Content

Candidates pursuing the Praxis Mathematics Algebra I add-on endorsement are tested on three categories of knowledge: the Principles of Algebra category, the Functions category, and the Number and Quantity/Probability and Statistics category. Algebra 1 Praxis 5162 questions require test takers to perform fundamental operations in Algebra. The test also requires the ability to explain why tasks are performed in a given way.

Principles of Algebra (38%)

Section I covers the most basic knowledge required of teachers who wish to attain the Praxis Mathematics Algebra I add-on endorsement. The Principles of Algebra portion of the Algebra 1 Praxis 5162 will encompass foundational algebraic concepts and definitions. In addition to recognizing polynomials and expressions, candidates must display proficiency in creating, solving and explaining equations and inequalities. Topics that may be covered in this section include linear and quadratic equations, systems of equations, and how rates of change may be represented graphically.

Functions (30%)

The second part of the Algebra 1 Praxis 5162 examination is the section covering Functions. Constructing, analyzing, and interpreting functions are necessary competencies to perform well on this part of the exam. Teachers seeking the Praxis Mathematics Algebra I add-on endorsement are expected to demonstrate a thorough understanding of the definitions, notations, and behaviors of functions. Questions appearing under Section II will cover such topics as domain and range, graphing functions, transformations, using functions to create data models, and the differences between various models.

Number and Quantity; Probability and Statistics (32%)

Section III of the Algebra 1 Praxis 5162 test examines the conceptual basis of number and quantity. This category also touches on the basic principles of probability and statistics. To qualify for the Praxis Mathematics Algebra I add-on endorsement, candidates must combine theoretical knowledge with practical computations on this portion of the exam.

Questions in the number and quantity category will require an understanding of real, imaginary, rational, and irrational numbers. Additionally, test takers should be prepared to work with both exponents and radicals and to recognize and work computations with numbers written in scientific notation. Prospective mathematics educators should also be able to rely on units as an indication of the underlying logic of a problem and as a guidepost to the problem's solution.

For the probability and statistics portion of the exam, test takers will be asked to display a basic understanding of variables, data distribution, and the graphical presentation of data based on single and double variables. This section may also require the computation of probabilities.

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How To Register for the Algebra 1 Praxis 5162 Exam

There are three ways that candidates can register for the Praxis 5162 exam. Online registration is the most direct and convenient method. Once they are logged into an ETS online account, registrants can search for available dates and times when their desired test will be given at a nearby ETS test center.

The second registration method is to complete a voucher form in the Praxis Information Bulletin and mail it to the provided address. A test voucher will be mailed back to the candidate within three weeks. However, the registrant will still need an ETS online account, as registration must be completed online after receiving the voucher.

Lastly, registration by telephone is an option for Praxis Mathematics Algebra I add-on endorsement candidates who have an existing Praxis account. However, telephone registration does entail an additional registration fee of $35.

Praxis Exam Fees

When completing their registration online, candidates for the Praxis Mathematics Algebra I add-on endorsement must pay the exam fee of $130. ETS accepts most major credit cards or debit cards for payment, and registrants can also pay their fees using an active PayPal account.

The ETS refund policy allows for partial refunds to candidates who cancel their appointments in a timely manner. In order to qualify, a Praxis 5162 test taker must complete their cancellation no fewer than three days before their exam appointment. Although half of the original fee will be withheld as a processing fee, the remaining 50 percent will be refunded.

Dates and Locations for the Algebra I Praxis

ETS testing centers throughout the United States offer this 5162 test for the Praxis Mathematics Algebra I add-on endorsement. On exam day, candidates will need a reasonable amount of time for check-in, security measures, and instruction. For that reason, test takers should be at the test center a minimum of 30 minutes before the exam's start time.

Candidates also have the option to take the test online in their own homes if they possess computer equipment and internet connectivity that meet the minimum requirements. A free Praxis 5162 practice test provides a good rehearsal for taking the test from home.

Essential and Prohibited Items for the Praxis 5162 Test Day

Test takers of Algebra 1 Praxis 5162 exam should review the Praxis Information Bulletin to familiarize themselves with the rules, requirements, and testing procedures. It is crucial to understand which items are required and which are forbidden at the testing site on the day of the test.

Praxis Mathematics Algebra I add-on endorsement candidates must be sure to bring the following items:

  • Admission Ticket
  • Proof of identification (driver's license, student ID, government ID, or passport)
  • Supplemental ID if primary ID insufficient (such as identity confirmation letter on school letterhead)

The following items are forbidden in the exam room:

  • Unauthorized calculators
  • Jewelry other than engagement or wedding rings
  • Mobile phones and other electronics

Some personal items may be locked in a secure area outside the exam room, but only medicines, food, and drink are to be used during breaks.

Algebra 1 Praxis 5162 Accommodations

There are two circumstances in which candidates for the Praxis Mathematics Algebra I add-on endorsement may qualify for accommodations when taking the Algebra I Praxis exam. The first is when the test taker's native language is not English, and the second is when the test taker needs alternate arrangements due to a disability or serious health condition.

Non-English speakers are encouraged to apply for a PLNE (Primary Language Not English) accommodation a minimum of three weeks before their preferred test date. Candidates requiring disability accommodation should request their needed accommodations or supports even earlier, preferably more than 6 weeks before their Algebra 1 Praxis 5162 exam date. Test takers who need alternative arrangements can request them online and should not complete their registration until ETS has confirmed the availability of their accommodations.

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Algebra I Praxis Study Guide

Every Algebra 1 Praxis 5162 test taker can benefit from using a study guide, provided that the study guide is well thought out and thorough. Candidates must master a number of challenging skills in several knowledge areas to achieve the Praxis Mathematics Algebra I add-on endorsement. Adequate preparation for such a demanding exam demands a comprehensive survey of the relevant subject areas and skills. Making use of a complete study guide guarantees that no topic is overlooked. Additionally, test takers can employ their exam study guide as a continuing guidebook for their test preparation plan, referring back to the parts of the guide that are most relevant to their review.

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Praxis 5162 Practice Test

A free Praxis 5162 practice test should form the foundation of a candidate's preparation for the Algebra I Mathematics Praxis exam. Simulating the format of an exam as well as its content initiates a candidate into what it feels like to the test. For many test takers, trying out a practice test is an essential first step in preparing for their Praxis exam.

The initial attempt at completing the Praxis 5162 practice test will highlight areas where a person's command of the material is solid as well as skills that need more development. With this information, candidates can construct a review plan that devotes the necessary time and effort to weaker areas while not overemphasizing topics the test taker has already mastered.

Frequently Asked Questions

  • How long is the Algebra 1 Praxis?

    The Algebra I Praxis test is 150 minutes or two-and-a-half hours long. Candidates are advised to arrive at their test site at least 30 minutes before the start time.

  • How many questions are on the Praxis 5162?

    The Algebra 1 Praxis 5162 exam contains 60 questions divided into three content sections. All of the questions are presented in a selected-response format.

  • What is the Praxis test for Algebra I?

    The Praxis test for Algebra I is a professional certification test for prospective Algebra I instructors. The Algebra 1 Praxis exam qualifies secondary school teachers for a Praxis Mathematics Algebra I add-on endorsement.

  • What is the passing score for the Praxis 5162 in Virginia?

    Virginia is one of several state that accepts the 5162 exam as a qualification for the Praxis Mathematics Algebra I add-on endorsement for teacher certification. This state requires mathematics educators to achieve a minimum score of 148 on the test.

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  1. Which of the following represents the explicit form of the arithmetic sequence defined recursively as {eq}a_n = a_{n-1} + 3 {/eq} with {eq}a_1 = 2 {/eq}?

    • Correct Answer
  2. Calculate x and y for the system of equations:

    2x + y = 4

    3x - 2y = 6

    • Correct Answer
  3. A stone is thrown upward from a height of 5 meters. The function y(x) = x+5 gives the height of the stone after x seconds. Which of the following values represents the total height of the stone 3 seconds after it is thrown?

    • Correct Answer
  4. Use this material to answer question #4

    Use the table below to answer the questions that follow.



    The table above shows the sales of two lemonade stands for a week.

  5. Which of the following correctly represents the sales of Lemonade Stand A?

    • Correct Answer
  6. Solve: {eq}\dfrac{1}{8}\times \dfrac{5}{2} {/eq}

    Which of the following is the correct result?

    • Correct Answer
  7. If there are outliers in the data set, which of the following options best describes their effect on the mean?

    • Correct Answer
  8. If the probability that team A will win the match is 0.64 then what is the probability that team will lose the game?

    • Correct Answer
  9. On a map of Seattle, 1.25 inches indicates an actual distance of 2 miles. What does 1 inch on the map indicate in actual distance?

    • Correct Answer
  10. A student needs to get a test score of at least 85 to pass a subject. If {eq}x {/eq} represents the student's test score, which of the following inequalities represents the score that will make them pass the subject?

    • Correct Answer
  11. Halima works two jobs. At her first job, she makes $15 an hour. At her second job, she makes $17 an hour. She needs to earn at least $2000 a month to cover her expenses. If x represents the number of hours worked at her first job and y represents the number of hours worked at her second job, which of the following expressions represents the situation where Halima earns sufficient money to cover her expenses?

    • Correct Answer
  12. Consider the geometric sequence defined recursively as {eq}a_n = 2a_{n-1} {/eq} with {eq}a_1 =3 {/eq}. What is the explicit form of this sequence?

    • Correct Answer
  13. What is the probability of getting a sum less than five if two dice are rolled?

    • Correct Answer
  14. Assume that for a vehicle, the time of coming to a complete halt after applying the brake is directly proportional to the speed of the vehicle. If the speed of the vehicle triples, which of the following expresses the change in the time of coming to a complete halt?

    • Correct Answer
  15. The expression {eq}\dfrac{4a^5bc^8}{64a^7b^3c^4} {/eq}, when simplified, is equivalent to

    • Correct Answer
  16. A number is subtracted from 3, and the result is equal to 8. Which of the following is the correct value of the missing number?

    • Correct Answer

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