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How to graph functions and linear equations. Solve absolute value equations.
The alyebra 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 now answees just solve for x. 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. Now the key here– at first it looks kind of daunting. You’ll see what I mean. 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 answerx of that something.
We’re just subtracting 7 from both sides.
And so what does this get us? Let me just rewrite this equation so that the absolute values really pop out. 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 how can we reason through this? Mathplanet hopes that you will enjoy studying Algebra 2 online with us!
Regents Examination in Algebra II
Algebra 2 How to graph functions and linear equations Overview Functions and linear equations Graph functions answrrs relations Graph inequalities. If you’re seeing this message, it means we’re having trouble loading external resources on our website. So I want to get rid of this positive 4. We can’t, of course, only do that to the right-hand side.
Exponential and logarithmic functions. So that’s how we got this. 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. Let’s try to solve for not x first. You have these absolute values in it. So that’s going to be equal to 2. It’s this complex equation. 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.
Algebra 2 Polynomials and radical expressions Overview Simplify expressions Polynomials Factoring polynomials Solving radical equations Complex numbers. Algebra 2 Abswers to solve system of linear equations Overview Solving systems of equations in two variables Solving systems of equations in three variables.
Worked example: absolute value equation with two solutions
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.
And I want to get all of these constant terms on to the right-hand side. So that’s going to be 14 absolute values of x plus 7, 14 times the absolute value of x plus 7. Easiest way to albebra rid of it is to add 6 times the absolute value of x plus 7 to the right-hand side. Algebra 2 Polynomial functions Overview Basic a,gebra of polynomial functions Remainder and factor theorems Roots and zeros Descartes’ rule of sign Composition of functions.