June 2024 Algebra Regents Part II (2024)

This exam was adminstered in January 2024 .

June 2024 Algebra, Part II

Each correct answer is worth up to 2 credits. Partial credit can be given. Work must be shown or explained.

25. Solve 5(x - 2) < 3x + 20 algebraically.

Answer:


Distribute the 5 and use Inverse Operations.

5(x - 2) < 3x + 20
5x - 10 < 3x + 20
5x < 3x + 30
2x < 30
x < 15

This wasn't a "trick" question which required flipping the direction of the inequality symbol because no negatives where multiplied or divided.

26. Given g(x) = x3 + 2x2 - x, evaluate g(-3).

Answer:

Substitute and evaluate. Remember the order of operations. Or put it into your calculator.

g(-3) = (-3)3 + 2(-3)2 - (-3) = -6

If you put this into your calculator, remember to use all the parentheses that I used above to avoid a mistake.

You could also graph y = x3 + 2x2 - x and check the table of values for x = -3.

Whatever you do, write something on the paper other than just the answer, which is only worth one point. I suggest you write down the substition. It will be assumed that you calculated it in your head or with a calculator, so you don't need to write down every step.

27. Given the relation R = {(-1,1), (0,3), (-2,-4), (x,5)}.
State a value for x that will make this relation a function.
Explain why your answer makes this a function.

Answer:

The relation is a function as long as the x values do not repeat.

This means you can write any number except -1, 0, or -2.

That is, you can write x = 2, x = 10, x = π, x = 1/2 or pretty much anything you want, so long as it's a number other than the three already in the set.

28. A survey of 150 students was taken. It was determined that 2/3 of the students play video games.
Of the students that play video games, 85 also use social media.
Of the students that do not play video games, 20% do not use social media.

Complete the two-way frequency table

June 2024 Algebra Regents Part II (1)

Answer:

Start with the numbers you know and work backward to find the missing information.

The grand total, bottom right corner, is 150. If 2/3 play video games, that means that the bottom row will be divided into 100 and 50.

Of the students who play video games (100 students), 85 use social media, which means that 100 - 85 = 15 do not.

Of the ones not playing video games (50 students), 20% don't use social media. Since .20 * 50 = 10, that means 50 - 10 = 40 do use social media.

Add the rows across. You will get the following table:

June 2024 Algebra Regents Part II (2)

29. Use the method of completing the square to determine the exact values of x for the equation x2 + 10x - 30 = 0.

Answer:
They stated that you must complete the square. If you use any other method, then the most you can get is 1 point for a correct value of x.

To complete the square, you need to divide the middle value by 2, which is 10/2 = 5. That means that (x + 5)2 will be part of the solution. To complete the square you need to add 25 to each side of the equation.

x2 + 10x - 30 = 0
x2 + 10x = 30
x2 + 10x + 25 = 55
(x + 5)2 = 55
x + 5 = +√(55)
x = -5 +√(55)

30. Factor 20x3 - 45x completely.

Answer:
Whenever you see "Factor completely", you can be pretty sure that there will be more than one step. Show them all.

First, look for common factors in each of the terms. Then factor what remains. There are two terms separated by a minus sign, so keep an eye out for a Difference of Squares.

20x3 - 45x = 5x (4x2 - 9) = 5x (2x + 3)(2x - 3)

Note that this is an expression and not an equation. Do NOT attempt to "solve" it, or you will lose a point.

June 2024 Algebra Regents Part II (3)

End of Part II

How did you do?

Questions, comments and corrections welcome.

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June 2024 Algebra Regents Part II (6) June 2024 Algebra Regents Part II (7)
June 2024 Algebra Regents Part II (2024)

FAQs

How many points do you need to pass the Algebra 1 Regents 2024? ›

Take a moment to locate how many raw points it takes to earn a passing scaled score of 65. Did you find it? It's 27. You only need to earn 27 points to pass the Algebra I Regents exam.

How many questions do I need to get right to pass the Algebra 2 Regents? ›

The difficulty of the Algebra 2 Regents exam really depends on your goal for taking it. If you are taking the Algebra 2 exam in order to satisfy the graduation requirements for a Regents diploma, you need to answer 33% of the questions on the exam correctly to pass.

What is the passing grade for regents in NY in 2024? ›

To pass a Regents Exam you must earn a 65 or higher, though accommodations may be made for certain disabilities. Students who fail an exam may still pass the course, but will need to retake the exam.

Is algebra 2 regent hard? ›

The difficulty of the Algebra 2 Regents exam can vary from student to student, depending on how long you prepared and how much you feel you understand the subjects. It also depends on your goals–if you are after a very high score, you might need a more comprehensive study plan.

Is a 75 on a Regents bad? ›

According to the New York City Department of Education (DOE), “Students graduating with at least a score of 75 on English Regents and 80 on Math Regents” are deemed ready to pursue college and career paths.

Is an 85 on the Regents good? ›

The New York State Education Department defines “mastery” on individual Regents examinations as a score of 85 or greater with the exception of the English Language Arts exam for which students must earn a 90 or greater to attain mastery status.

What is the hardest Regents exam? ›

Which is the hardest test? The one people fail most often is Global History because, I think, it's just a lot to memorize. In terms of those higher tests which college-bound kids take, they get harder and harder.

Can you graduate if you fail Regents? ›

Typically, you must pass 4 or 5 Regents exams, with scores of 65 or higher. But, in certain cases, you can appeal lower scores and still graduate. You may appeal up to two Regents exams if you get a 60, 61, 62, 63 or 64, and meet the requirements below. This option is available to all students.

What happens if you fail a regent but pass the class? ›

Students may earn diploma credit for successfully completing a course but fail to meet the corresponding Regents assessment requirement; or • Students can fail a course and receive no academic credit but fulfill an assessment requirement if they pass a Regents examination in that course.

Which Regents fail the most? ›

Global History and Geography is the most frequently failed examination. Under the proposal, students would be able to substitute a second Regents Exam in math or science or a vocational exam for this requirement.

Is there a curve for algebra 2 Regents? ›

The New York State Education Department curves the Algebra 2 Regents exam in an attempt to standardize results based on the performance of students that year and across years. Every class of students can be slightly different than another, so curving the exams to a scaled score can help normalize this.

How to pass algebra 2 easily? ›

Consider forming a study group. Working with your fellow students to solve problems and going over algebraic concepts is a great way to succeed in an Algebra 2 class. You can also find out if your school offers a math study lab or tutors. Taking advantage of these resources can make passing Algebra 2 a lot easier.

What percent do you need to pass the Algebra 1 Regents? ›

If a student is including their Algebra 1 Regents exam to fulfill their math exam requirement for a Regents diploma, they need to score a 65 or higher.

What is a good Algebra 1 regents score? ›

What is a good Algebra 1 Regents score? A good Algebra 1 Regents score is anything 3 or up. If you receive a performance level of 3 or higher, it means you have passed the exam. In order to receive an advanced Regents diploma, you'll need to score a passing mark for all three Regents math exams.

How many points do you need to pass the regents? ›

Options for All Students

All remaining Regents exams must be passing scores of 65 or better.

Is 79 a good regents score? ›

how is your regents grade?(New York) <p>^There are a lot of people that fail, and lots that get in the 60's, 70's, and low 80's. A “good” score is considered above an 85.

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