# What is Algebra 2: Definition and 60 Discussions

From kindergarten through high school, the mathematics education in public schools in the United States has historically varied widely from state to state, and often even varies considerably within individual states. With the recent adoption of the Common Core Standards by 45 states, mathematics content across the country is moving into closer agreement for each grade level.

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1. ### I Taking the derivative of a function

I would like to take the derivative of the following function with respect to Gt: $$\mathrm{G}_{t+1}=\mathrm{g}_{0}\mathrm{e}^{-qHt}$$ I think that the answer is either -1 or ##\mathrm{e}^{-qHt}-1## If you could show the calculations that would be a great help. Thanks very much.
2. ### Problems in manipulating these 4 radical equations

In order to write next step in all four equations above l used the definition of radicals. ##\sqrt a=b## means ##b^2=a##. Squaring both sides also works. I don’t know if it’s right. I mean I read that ##(\sqrt a)^2=a##. But I don’t know if we can apply this on expressions. Main problem is if we...
3. ### Algebra Algebra 2 textbook recommendations please

I am currently learning some maths from “Precalculus by James Stewart”. I was wondering if that’s ok? Is it ok to just dive straight into it or go back and brush up my algebra 2 ? I was wondering what are some good textbooks on algebra 2 by the way? Thank you. (This is all for the love of physics).
4. ### Intro Math Are the (translated) High School Japanese maths textbooks by Kodaira Good?

I'm trying to review some high school maths and work my way to Calculus and Linear Algebra, and I found these three translations of Japanese maths textbooks translated by the AMS and edited by Kunihiko Kodaira. The AMS links to them are: https://bookstore.ams.org/cdn-1669378252560/mawrld-8/...
5. ### I Invertible Polynomials: P2 (R) → P2 (R)

0 Let T: P2 (R) → P2 (R) be the linear map defined by T(p(x)) = p''(x) - 5p'(x). Is T invertible ? P2 (R) is the vector space of polynomials of degree 2 or less
6. ### MHB Help? Algebra 2 Math - Solve X,Y,Z

The sum of three numbers is 95. The second number is 5 more than the first. The third number is 3 times the second. What are the numbers?
7. ### Studying Trouble getting past Algebra 2

Hi, I'm currently having trouble getting past Algebra 2 at my college. I got local credit in Algebra 2 in high school. My current college major is Chemistry with an emphasis on materials science/engineering. I obviously need Calculus 3 and differential equations and my ultimate roadblock is...
8. ### Solving for time in an exponential equation

Homework Statement In my book, there is a formula that gives the amount (in grams) of Radium in a jar after t years (100 grams were initially stored): R = 100⋅e-0.00043⋅t The book asks me to sketch the graph of the equation. I decided to find a point where the time elapsed equals the...
9. ### How does this simplification work?

Please check the image below. My algebra is bit rusty. Please explain the second step where the common factor is taken out.
10. ### Can I take AP Physics 1 while concurrently taking Algebra 2?

Next year, I want to take AP Physics 1 but I am worried that it would be confusing since I would still be learning about Algebra 2. Is it recommended to do this?

Hello. I am currently studying at a specialized mechanical engineering high school. I'm in my first (or 10th) year, as I've stated before. I've done algebra I and algebra II, along with about one half of trigonometry (utilizing the trigonometric functions in practical problems, like splitting...
12. ### Algebra Master Algebra 2 with Saxon Math

Is Saxon Math a good book for Algebra 2. Ik it has a lot of problems and stuff but if I study it hard will I get a complete understand of Algebra 2?

14. ### Dynamics: Incline Slope Derivation Simplification

Homework Statement No official problem, just a study guide fill-in-the-blanks with an extended simplification blank. Basically, no values were given, and it is a standard block on a standard slope with a north-east applied force pushing down on the block (not parallel to horizontal or vertical...
15. ### Is it possible to learn pre-algebra to pre-calc in 9 months?

I am currently in year 9 (9 grade for those in US) and I have a really rusty and a weak math background. I have 2 months of summer holidays coming up. I should be done with pre algebra in mid December. During my summer holidays I have more than 50 hours a week avalible for study and I was just...
16. ### In severe need of advice for learning Algebra 2

My situation is that I'm 17, and graduated high school early due to the CHSPE test. The only math I have any real knowledge of is algebra 1, since I forgot geometry and barely got into algebra 2 before I graduated. No books have worked, Gelfand's Algebra frustrated me exceptionally because it...
17. ### Algebra Are There Any Good Textbooks That Teach Algebra 2 and Trigonometry Together?

Hey PF, as my thread a week or two ago said I am currently planning on taking a college Calc and Analytic Geometry class with formal education only up to Geometry. I am very proficient in Geometry, good in algebra 1, have some experience in Trig and a little in Algebra 2. For this reason I was...
18. ### Teaching myself geometry, algebra 2, and calculus.

Hey, I am a freshman in High School and I have a very superior IQ but I am in normal classes. This is due to ADHD and I used to be lazy in school. Anyways, algebra 1 is VERY boring. I want to teach myself geometry, algebra 2, Pre Cal, and Calculus because I love math. Also I feel like it will...
19. ### Algebra 2, solve with steps

Homework Statement [/B] a1b1/x1= a2b2/x2solve for x2 Homework Equations no relevant questions apply, this is a stand alone review question The Attempt at a Solution [/B] multiply times reciprocal to get rid of denominator on left (x1) (a1b1/x1)= (a2b2/x2)(x1) a1b1 = (a2b2x1/x2) multiply...
20. ### Where to self teach Algebra 2?

So I made another post to explain my position, and I need to learn Algebra 2B this summer (The B part or second half) In order to test out of it next school year and then take trig. So I was wondering if anyone knew a good source to self teach algebra 2B, maybe an online course, or a website...
21. ### Teaching calculus to people who only learned algebra 2.

So, I want to teach calculus to my math club. I know that differentiation and integration is easy. But how do I teach the CONCEPT of DERIVATIVES and INTEGRATION to people who only learned algebra 2? Algebra 2 people because that's the bare minimum of mathematics you need to learn calculus...
22. ### Algebra 2 Trigonometry textbook recommendation

Are there any well-written algebra 2 trig book that gives understandable contents for beginners?
23. ### Pre Calculus online with 2nd semester Algebra 2

Hi, I am wondering if it would be better to do Pre-Calculus online with the 2nd semester Algebra 2. Or take college algebra online with 2nd semester Algebra 2. If I go the Pre-Calculus online with 2nd semester Algebra 2, my senior year I will be taking Calculus AB 1st semester and Calculus BC...
24. ### Any Free Online Algebra 2 Courses?

I am trying to learn algebra 2 by myself but I am having some troubles. I bought a textbook and was trying to learn the material just by reading the book and doing the exercises but I couldn't figure out how to do the exercises very well. So next I tried to use Khan Academy to help me understand...
25. ### Good Algebra 2 and Trigonometry Study Method?

I want to learn algebra 2 and trigonometry and was going to try to learn algebra 2 first then learn trigonometry after that. However after thinking I thought it would be more engaging to learn both at the same time. So my question is, should I learn algebra 2 first, then trigonometry, or...
26. ### Best Book for learning Algebra 2

I am a freshman in high school I would like to major on physics and most likely in mathematics in college so I figured it would be worthwhile to start learning more math. In school I am currently learning geometry and next year my class will cover Algebra II. I was wondering what would be the...
27. ### How to Find z in a Complex Algebra 2 Problem?

x = 3^6 * 2^12 y = 3^8 * 2^8 x^x * y^y = z^z for some integer z Find z. I took the log of both sides, but don't know what to do next (I'm not even sure taking log of both sides will produce anything).
28. ### Help with an Algebra 2 word problem

Homework Statement a glassblower can produce a set of simple gasses in about 2 hours. when the glassblower works with an apprentice, the job takes about 1.5 hours. How long would it take the apprentice to make a set of glasses when working alone? Homework Equations none The Attempt...
29. ### Advice for Skipping Algebra 2 Final

I wanted to get ahead with my mathematics studies in order to learn more about physics, and the fact that I like mathematics. I received an Algebra 2 book (I'm taking it in 10th grade) to study throughout the summer. I'm still working on it, but I'm making sure to understand what I'm learning...
30. ### Finding the Area of a Parallelogram with Given Sides and Angle

Homework Statement A parallelogram's two sides are 24 feet amd 30 feet. The measure of the angle between these sides is 57 degrees. Find the area of the parallelogram, to the nearest square foot. Homework Equations area = 1/2 (a) (b) Sin C The Attempt at a Solution I'm thinking...
31. ### Exploring the Differences Between Algebra 1 and Algebra 2

Hi everybody, I wanted to know what the difference is between algebra 1 and 2. The reason I'm asking is because I'm teaching myself mathematics and at moment I'm studying algebra 2 using study books. However, it seems that a lot of the material is a repeat of algebra 1. Greetings, Shawn
32. ### Linear Algebra 2 - Representing Matrix

Sry, this will be the last question^^ Its a similar to the problem i ve postet before. Maybe if i can solve the first problem i can solve this to. But what i don't understand is that notation. I ve circled it with a red line. Does anyone know what this means? Thx Mumba
33. ### Abstract algebra 2 questions

1. If G is a finite group that does not contain a subgroup isomorphic to Z_p X Z_p for any prime p. prove that G is cyclic im stumped. i don't understand the 'does not contain a subgroup isomorphoc to Z_p X Z_p part. ive tried using cauchy's theorem for abelian group: if G is a finite...
34. ### Easy Algebra 2 Questions -

Homework Statement A small motel is to be built as shown in the sketch with two long walls y feet long each and 6 short walls x feet long each. The total length of the walls is to be 300 feet. Let A(x) be the number of sq feet area taken up by the motel. Write the particular equation for...
35. ### What are some recommended textbooks for Algebra 2?

I'm going to be taking Algebra 2 this semester (even though I should be much further along by now but a teacher screwed up several years ago :( ) and I'd like to get ahead. Can anyone recommend a good textbook for this OTHER than what the class will be using? (I don't know what they'll be using...
36. ### Linear Algebra 2 Conceptual Questions (Vector spaces)

Alrighty then :smile: I am working through Axler's LA Done Right. I have 2 questions for now: 1.) He uses some notation that is confusing me. When referring to \mathbf{R} \text{ or }\mathbf{C} as a set it is in BOLD but when he refers to a vector space as being the set V, it is not in...
37. ### Algebra 2 Topics for Not-So-Strong Math Students?

What are the MUST COVER topics in Algebra 2? I said this in the "Should calculus be taught in high school?" thread: I've mentioned before that I'm a HS teacher (math and music) in a Catholic all-girls school in the US. This school year I taught Honors Algebra 1 and Honors Precalculus. Next...
38. ### Algebra 2 homework questions

Homework Statement I have five questions on some review problems for our final I was given and I have forgotten how to do them. They are: 1) 3(sqrt(5-x)+1)-7=sqrt(5-x)+6 2) 2(64^x-2)=8(.25)^x+1 3) x-2-(4-x^2/x+2)=3x+7 4)-2A^-2+A^(-5/2)sqrtA+a^(-1/2)*a^(-3/2) 5)(3x^2y^7z^-2/12xy^8z^5)^2...
39. ### Algebra 2 Descartes' Rule of Signs

Use Descartes' Rule of Signs to analyze the zeros of the following. List all possibilities. 1. P(x) = x5 - 4x4 + 3x3 + 2x - 6 2. P(x) = -5x4 + x3 + 2x2 - 1 3. P(x) = 2x5 + 7x3 + 6x2 - 2 So I found these answers, are they right?: 1. P(x) = x^5 - 4x^4 + 3x^3 + 2x - 6 (3...
40. ### Algebra 2 Finding Zeros: How to Handle Complex Roots

For each of the following polynomials, one zero is given. List all zeros of the polynomials. 1. P(x) = x^3 - 3x - 2, -1 is a zero A. -1, -2 B. -1, 2 C. -1 of multiplicity 2, 2 D. -1, 1, 2 2. P(x) = x^3 - 6x^2 + 11x - 6 , 3 is a zero A. 3, -2, -1 B. 3, 2 of multiplicity...
41. ### Algebra 2 - residual^2 or something ?

i have a function y=f(x) with three points; A (1, 40) B (3, 80) C (5, 90) the x model represents days. and the y model represents failed parts on an assembly line. the question is: how many failed parts will have been identified 1 week from now? I have no problem with doing the...
42. ### Solve for Linear Function: Algebra 2 Help | Homework Statement

Homework Statement having a little bit of trouble. some of the information is new to me. ill point out because I am copying this down from my notes. let A & B define some linear function, y=f(x). A = (1, 2), B = (6, 6) C = (x, y), D = (x, y) let (x, y) represent some arbitrary...
43. ### What Are Some Tips for Preparing for Pre-Calculus and Algebra 2?

I just finished algebra 1 over this summer, pathetic I know. It's the price I got to pay for messing up in high school and taking two years off afterwards. I start Algebra 2 in the fall and I'm going to take PreCalc over winter break. Does anyone recommend any books or materials I can use to...
44. ### Need ALGEBRA 2 HELP with square roots

Homework Statement simplify m^(9*√5)/m^(√5) The Attempt at a Solution would that equal m^9 or m^(8*√5)
45. ### Online texts in algebra 2 and trigonometry?

do you guys know of any good online textbooks for high school-level algebra 2/trigonometry? the only thing that google gives me is either algebra 1 or college level lecture notes. how effective do you guys think online resources are for studying ahead
46. ### Algebra 2 Help: Gas Volume Variation Problem & Solutions

A problem on my homework reads like this: The volume of a gas varies directly as it's temperature measured in degrees Kelvin and inversely as its pressure. When the temperature of a certain gas is 250 degrees K and its pressure is 76.2 cm of mercury, its volume in 750 cm cubed. a) Find the...
47. ### Algebra 2: Simplifying Radicals with Exponents 8^(2/3) * 9^(1/2) - Evaluate

8^2/3 (9^1/2) <---- times (multiply) evaluate. THANKSS
48. ### Algebra 2 Help: Simplifying a Complex Fraction with Step-by-Step Guide

Well, I need help solving the next problem: All you have to do is simplify it. Also, would you be so kind and show your work? Thank you.
49. ### Sophomore Struggling to Pass Algebra 2

SO... I am a Soph. high school, taking Honors Algebra 2 class. I just got a progress report and it saids I am getting "F" (64%)... i love math, and want to be good at it, because i really really want to become a Vet, and i know it is impossible without math and science. What do u guys think i...
50. ### Algebra 2. Transformation of Fucntions.

Whats the difference between "Vertical Compression" and "Horizontal Compression"? Can you give me couple example? Thank you.