Click your Algebra 2 textbook below for homework help. Our answers explain actual Algebra 2 textbook homework problems. Each answer shows how to solve a. Algebra 2/Trigonometry Regents Exam. Regents Examination in Algebra II. Please note: You must use Adobe Acrobat Reader/Professional X. Free Algebra 2 worksheets created with Infinite Algebra 2. Printable in convenient PDF format.
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This Algebra 2 math course is divided into 13 chapters and each chapter is divided into several lessons.
Algebra 2 – Mathplanet
Exponential and logarithmic functions. Algebra 2 Polynomials and radical expressions Overview Simplify expressions Polynomials Factoring polynomials Solving radical equations Complex numbers. Algebra 2 Conic Sections Overview Distance between two points and the midpoint Equations of conic sections.
If these two things are equal and we are being told that they are, then if you add something on this side, the only way that alhebra equality will hold is if you still do it on the left-hand side. Algebra 2 How to graph functions and linear equations Overview Functions and linear equations Graph functions and relations Graph inequalities.
So that’s how we got this. Video transcript We’re asked to solve for x.
So how can we reason through alebra Let me just rewrite this equation so that the absolute values really pop out. Easiest way to get rid of it is to add 6 times the absolute value of x plus 7 to the right-hand side. Algebra 2 Sequences and series Overview Arithmetic sequences and series Geometric sequences and series Binomial theorem.
And I want to get all of algebrra constant terms on to the right-hand side. Quadratic functions and inequalities. And just think about that for a second. If you’re seeing this message, it means we’re having trouble loading external resources on our website. So that’s going to be equal to 2. And then we’re left with 6 minus 4, which is just 2.
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Algebra 2 Discrete mathematics and probability Overview Counting principle Permutations and combinations Probabilities. So that’s one possibility for x.
Algebra 2 How to solve system of linear equations Overview Solving systems of equations in anzwers variables Solving systems of equations in three variables.
We can’t, of course, only do that to the right-hand side.
How to solve system of linear equations. We’re just subtracting 7 from both sides. Now just as promised, we want to solve for the absolute value of x plus 7, so let’s divide both sides by 14 to get rid of that coefficient there, or that factor, or whatever you want to call it, the thing that’s multiplying the absolute value of x plus 7.
So our left-hand side, if I have 8 of something– and in this case the something is absolute values of x plus 7’s– algebrw if I have 8 of something and I add 6 of that same answerw, I now have 14 of that something. So now let’s lagebra solve for x. Algebra 2 Equations and anwsers Overview Solve equations and simplify expressions Line plots and stem-and-leaf plots Absolute value Solve inequalities.
Solve absolute value equations. Polynomials and radical expressions. Algebra 2 Matrices Overview Basic information about matrices How to operate with matrices Determinants Using matrices when solving system of equations. Under each lesson you will find theory, examples and video lessons. You have these absolute values in it. We’re just going to solve for the absolute value of x plus 7. Search Pre-Algebra All courses. Mathplanet hopes that you will enjoy studying Algebra 2 online with us!
So you could almost answdrs this expression– the absolute value of x plus 7, you can just treat it as a variable, and then once you solve for that, it becomes a simpler absolute value problem.
Easiest way is to subtract 4 right over there, but if we do it on the left-hand side, we have to do aglebra on the right-hand side as well. Let’s try to solve for not x first.
Algebra 2 Polynomial functions Overview Basic knowledge of polynomial functions Remainder and factor theorems Roots and zeros Descartes’ rule of sign Composition of functions. Now the key here– at first it looks kind of daunting. So I want to get rid of this positive 4. So just as promised, we’ve now solved for the absolute value of x plus 7, but we really need to solve for x.
You’ll see what I mean. The 4 and the negative 4 cancel out, and that was intentional. Discrete mathematics and probability. The negative 6 and anxwers 6 x plus 7’s cancel out, or absolute values of x plus 7’s cancel out, and that was intentional. So this is 8 times the absolute value of x plus 7 plus in that same color– is equal to negative 6 times the absolute value of x plus 7 plus 6. And so what answets this get us?
So let’s do that, so plus 6 times the absolute value of x plus 7. Algebra 2 Quadratic functions and inequalities Overview How to graph quadratic functions How to solve quadratic equations The Quadratic formula Standard deviation and normal distribution.