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So let’s try to do that. Let me just rewrite this equation so that the absolute values really pop out.
Algebra 2 Common Core () :: Homework Help and Answers :: Slader
Search Pre-Algebra All courses. So that’s one possibility for x. 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.
Algebra 2 Sequences and series Overview Arithmetic sequences and series Geometric answere and series Binomial theorem. 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.
Worked example: absolute value equation with two solutions
Mathplanet hopes that you will enjoy studying Algebra 2 online with us! Algebra 2 How to graph functions and linear equations Overview Functions and linear equations Graph functions and relations Graph inequalities. You have these absolute values in it.
If you’re seeing this message, it means we’re having trouble loading external resources on our website. Video transcript We’re asked to solve for x. 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. And then we’re left with 6 minus 4, which is just 2. 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. 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. And so what does this get us? So just as promised, we’ve now solved for the absolute value of x plus 7, but we really need to solve for x.
Regents Examination in Algebra II
So let’s do that, so plus 6 times the absolute value of x plus 7. Discrete mathematics and probability. 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. Under each lesson you will answerss theory, examples and video lessons.
Algebra 2 Discrete mathematics and probability Overview Counting principle Permutations and combinations Probabilities. So that’s how we got this. Algebra 2 Polynomials and radical expressions Overview Simplify expressions Polynomials Factoring polynomials Solving radical equations Complex numbers.
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. We can’t, of course, only do that to the right-hand side. How to graph functions and linear equations. 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 rid of this positive 4. Solve absolute value equations. Algebra 2 How to solve system of linear equations Overview Solving systems of equations in two variables Solving systems of equations in algevra variables. Now the snswers here– at first it looks kind of daunting. Algebra 2 Equations and inequalities Overview Solve equations and simplify expressions Line plots and stem-and-leaf plots Absolute value Solve inequalities.
So now let’s just solve for x. You’ll see what I mean.
How to solve system of linear equations. This Algebra 2 math course is divided into 13 chapters and each chapter is divided into alvebra lessons. 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.
Algebra 2 Polynomial functions Overview Basic knowledge of polynomial functions Remainder and factor theorems Roots and zeros Descartes’ rule of sign Composition of functions. Intro to absolute value equations and graphs. So that’s going to be algdbra to 2.