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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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 the equality will hold is if you still do it on the left-hand side. The 4 and the negative 4 cancel out, and that was intentional.
So that’s going to be 14 absolute values of x plus 7, 14 times the absolute value of x plus 7. Algebra 2 Discrete mathematics and probability Overview Counting principle Permutations and combinations Probabilities.
Intro to absolute value equations and graphs. Let me just rewrite this equation so that the absolute values really pop out. Exponential and logarithmic functions. If you’re seeing this message, it means we’re having trouble loading external resources on our website.
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– but if I have 8 of something and I add 6 of that same something, I now have 14 of that something.
Easiest way to get rid of it is to add 6 times the absolute value of x plus 7 to the right-hand side. And just think about that for a second. Polynomials and radical expressions.
And I want to get all of these constant terms on to the right-hand side. Algebra 2 Matrices Overview Basic information about matrices How to operate with matrices Determinants Using matrices when solving system of equations. So you could almost treat 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.
You’ll see what I mean. Algebra 2 Polynomials and radical expressions Overview Simplify expressions Polynomials Factoring polynomials Solving radical equations Complex numbers. 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. So that’s one possibility for x.
So I want to get rid of this positive 4. And so what does this get us? Algebra 2 Polynomial functions Overview Basic knowledge of polynomial functions Remainder and factor theorems Roots and zeros Descartes’ rule of sign Composition of functions. Under each lesson you will find theory, examples and video lessons. And then answer left with 6 minus 4, which is just 2.
So let’s do that, so plus 6 times the absolute value of x plus 7. You have these absolute values in it. We can’t, of course, only do that to the right-hand side. Easiest way is to subtract 4 right over there, but if we do it on the left-hand side, we have to do it on the right-hand side as well. Algebra 2 How to graph functions and linear equations Overview Functions and linear equations Graph functions and relations Graph inequalities.
Regents Examination in Algebra II
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 I want to get all of the absolute values of x plus 7 on the left-hand side, so I want to get rid of this one on the right-hand side. The negative 6 and the 6 x plus 7’s cancel out, or absolute values of x plus 7’s cancel out, and that was intentional.
It’s this complex equation. So that’s how we got this. Let’s try to solve for not x first. Solve absolute value equations. This Algebra 2 math course is divided into 13 chapters and each chapter is divided into several lessons.
Algebra 2 Conic Sections Overview Distance between two points and the midpoint Equations of conic anwsers. Now the key here– at first it looks kind of daunting. How to graph functions and linear equations. So how can we reason through this?