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. Author: Tuzil Grosho Country: Slovenia Language: English (Spanish) Genre: Technology Published (Last): 18 August 2012 Pages: 157 PDF File Size: 11.6 Mb ePub File Size: 3.28 Mb ISBN: 283-8-30563-128-9 Downloads: 87029 Price: Free* [*Free Regsitration Required] Uploader: Maktilar So that’s going to be 14 absolute values of x plus 7, 14 times answera absolute value of x plus 7. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. The 4 and the negative 4 cancel out, and that was intentional.

Now the key here– at first it looks kind of daunting. We can’t, of course, only do that a,gebra the right-hand side. So just as answes, we’ve now solved for the absolute value of x plus 7, but we really need to solve for x. Discrete mathematics and probability. Let me just rewrite this equation so that the absolute values really pop out. We’re just subtracting 7 from both sides. Under each lesson you will find theory, examples and video lessons. So let’s try to do that. So that’s going to be equal to 2.

So that’s one possibility for x. Algebra 2 is the third math course in high school and will guide you through among other things linear equations, inequalities, graphs, matrices, polynomials and radical expressions, quadratic equations, functions, exponential and logarithmic expressions, sequences and series, probability and trigonometry. 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. It’s this complex equation.

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You have these absolute values in it. Algebra 2 How to solve system of linear equations Overview Solving systems of equations in two variables Solving systems of equations algfbra three variables. We’re just going to solve for 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.

Algebra 2 Rational expressions Overview Variation Operate on rational expressions. Search Pre-Algebra All courses. Easiest way to get rid of it is to add 6 times the absolute value of x plus 7 to the right-hand side. 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.

You’ll see what I mean. Let’s try to solve for not x first. The negative 6 and the 6 x plus 7’s cancel out, or absolute values of x plus 7’s cancel out, and anwwers was intentional. And then we’re left with 6 minus 4, which is just 2. Algebra 2 Equations and inequalities Overview Solve equations and simplify expressions Line plots and stem-and-leaf plots Absolute value Solve inequalities. Algebra 2 Exponential and logarithmic functions Overview Exponential functions Logarithm and logarithm functions Logarithm property.

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 Discrete mathematics and probability Overview Counting principle Permutations and combinations Probabilities.

Algebra 2 Polynomial functions Overview Basic knowledge of polynomial functions Remainder and factor theorems Answerx and zeros Descartes’ rule of sign Composition of functions.

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Solve absolute value equations. This Algebra 2 math course is divided into 13 chapters and each chapter is divided into several lessons. And so what does this get us? So let’s do that, so plus 6 times the absolute value of x plus 7. Algebra 2 How to graph functions and linear equations Overview Functions and linear equations Graph functions and relations Graph inequalities. And just think about that for a second. Mathplanet hopes that you will enjoy studying Algebra 2 online with us! Algebra 2 Conic Sections Overview Distance between two points and the midpoint Equations of conic sections.

If you’re seeing this message, it means we’re having trouble loading external resources on our website. So how can we reason through this? How to solve system of linear equations. Algebra 2 Sequences and series Overview Arithmetic sequences and series Geometric sequences and series Binomial theorem. Quadratic functions and inequalities. How to graph functions and linear equations.

## Worked example: absolute value equation with two solutions

So now let’s just solve for x. So I want to get all of the absolute values of answera plus 7 on the left-hand side, so I want to get rid of this one on the right-hand side.

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. 