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Discrete mathematics and probability. 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.
Exponential and logarithmic functions.
So now let’s just solve for x. So I want to get rid of this positive 4. So that’s one possibility annswers x. Let me just rewrite this equation so that the absolute values really pop out. And then we’re left with 6 minus 4, which is just 2.
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.
You’ll see what I mean. How to solve system of linear equations. 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. So just as promised, we’ve now solved for the absolute value of x plus 7, but we really need to solve for x.
Now the key here– at first it looks kind of daunting. Search Pre-Algebra All courses. Wnswers have these absolute values in it.
Under each lesson you will find theory, examples and video lessons. The 4 and the negative 4 cancel out, and that was intentional.
If you’re seeing this message, it means we’re having trouble loading external resources on our website. 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. So that’s going to be 14 absolute values of x plus 7, 14 times the absolute value of x plus 7. 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.
We’re just going to solve for the absolute value of x plus 7.
Algebra 2 Common Core () :: Homework Help and Answers :: Slader
And I want to get all of these constant terms on to the right-hand side. 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.
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 Matrices Overview Basic information about matrices How to operate with matrices Determinants Using matrices when solving system of equations.
Algebra 2 Polynomials and radical expressions Overview Simplify expressions Polynomials Factoring polynomials Solving radical equations Complex numbers. Algebra 2 Rational expressions Overview Variation Operate on rational expressions.
Worked example: absolute value equation with two solutions
Polynomials and radical expressions. Mathplanet hopes that you qlgebra enjoy studying Algebra 2 online with us! So that’s going to be equal to 2. This Algebra 2 math course is divided into 13 chapters and each chapter is divided into several lessons.
Algebra 2 Sequences ansaers series Overview Arithmetic sequences and series Geometric sequences and series Binomial theorem. 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 does this get us?
Algebra 2 Quadratic functions and alebra Overview How to graph quadratic functions How to solve quadratic equations The Quadratic formula Standard deviation and normal distribution.
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.
And just think about that for a second. So how can we reason through this?
How to graph functions and linear equations. 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 let’s try to do that.