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Algebra 2 Rational expressions Overview Variation Operate on rational expressions. How to solve system of linear equations. So let’s try to do that. How to graph functions and linear equations. 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 that’s going to be 14 absolute values of x plus 7, 14 times the absolute value of x plus 7. And I want to get all of these constant terms on to the right-hand side.
So that’s going to be equal to 2. So let’s do that, so plus 6 times the absolute value of x plus 7. Video transcript We’re asked to solve for x. Algebra 2 Equations and inequalities Overview Solve equations and simplify expressions Line plots and stem-and-leaf plots Absolute value Solve inequalities. Now the key here– at first it looks kind of daunting. We can’t, of course, only do that to the right-hand side. Algebra 2 Exponential and logarithmic functions Overview Exponential functions Logarithm and logarithm functions Logarithm property.
Solve absolute value equations.
Worked example: absolute value equation with two solutions
This Algebra 2 math course is divided into 13 chapters and each chapter is divided into several lessons. Let’s try to solve for not x first. So how can we reason through this? Search Pre-Algebra All courses.
Algebra 2 Polynomials and radical expressions Overview Simplify expressions Polynomials Factoring polynomials Answets radical equations Complex numbers. Algebra 2 How to graph functions and linear equations Overview Functions and linear equations Graph functions and relations Graph inequalities.
Algebra 2 Common Core () :: Homework Help and Answers :: Slader
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. Under each lesson you will find theory, examples and video lessons.
Mathplanet hopes that you agebra enjoy studying Algebra 2 online with us! 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.
We’re just subtracting 7 from both sides. So I want to get all of the absolute values of x plus 7 on the left-hand side, so I want to algera rid of this one on the right-hand side. And then we’re left with 6 minus 4, which is just 2.
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 aanswers 14 of that something.
So that’s how we got this. Algebra 2 Conic Sections Overview Distance between two points and the midpoint Equations of conic sections. Algebra 2 Matrices Overview Basic information about matrices How to operate with matrices Determinants Using matrices when solving system of equations. And just think about that for a second. 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.
And so what does this get us? Exponential and logarithmic functions. So just as promised, we’ve now solved for the absolute value of x plus 7, but we really need to solve for x.
It’s this complex equation. But the way to think about this is if you could solve for the absolute value expression, you could then– it then turns into a much simpler problem, then you can take it from there.
So I want to get rid of this positive 4. The 4 and the negative 4 cancel out, and that was intentional. Algebra 2 Polynomial functions Overview Basic knowledge of polynomial functions Remainder and factor theorems Roots and zeros Descartes’ rule of sign Composition of functions.
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Intro to absolute value equations and graphs. Let me just rewrite this equation so that the absolute values really pop out.
You’ll see what I mean. We’re just going to solve for the absolute value of x plus 7. Algebra 2 Discrete mathematics and probability Overview Counting principle Permutations and combinations Probabilities. Discrete mathematics and probability. Easiest way is to subtract 4 right over there, but if altebra do it on the left-hand side, we have to do it on the right-hand side as well. 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 one possibility anssers 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.
Polynomials and radical expressions. 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 qlgebra, it becomes a simpler absolute value problem.
You have these absolute values in it.