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.
If you already know the solution, you can tell immediately whether the number inside the absolute value brackets is positive or negative, and you can drop the absolute value brackets.
Questions Eliciting Thinking How many solutions can an absolute value equation have? Instructional Implications Provide feedback to the student concerning any errors made. Then explain why the equation the student originally wrote does not model the relationship described in the problem.
Do you know whether or not the temperature on the first day of the month is greater or less than 74 degrees? Plug in known values to determine which solution is correct, then rewrite the equation without absolute value brackets.
So negative 2 divided by negative 2 is 1. Let me just rewrite this equation so that the absolute values really pop out. So I want to get rid of the 6 times the absolute value of x plus 10 on the right.
And so what does this get us? And likewise, I want to get all my constant terms, I want to get this 4 out of the left-hand side. This means that any equation that has an absolute value in it has two possible solutions.
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. Same way, you have 4 of this expression, you take away 6 of this expression, you now have negative 2 of this expression.
Remember, this might seem a little confusing, but remember, if you had 4 apples and you subtract 6 apples, you now have negative 2 apples, I guess you owe someone the apples.
Set Up Two Equations Set up two separate and unrelated equations for x in terms of y, being careful not to treat them as two equations in two variables: Finds only one of the solutions of the first equation.
But the absolute value of anything else is going to be positive. Got It The student provides complete and correct responses to all components of the task. A difference is described between two values. You can now drop the absolute value brackets from the original equation and write instead: Guide the student to write an equation to represent the relationship described in the second problem.
Why is it necessary to use absolute value symbols to represent the difference that is described in the second problem? Instructional Implications Model using absolute value to represent differences between two numbers.
So how can we reason through this? Emphasize that each expression simply means the difference between x and Solving the equation 8|x+7|+4 = -6|x+7|+6 which has two possible solutions.
If you're seeing this message, it means we're having trouble loading external resources on our. Dec 15, · Write an absolute value equation that has the given solutions.?
1) 1 and 5 2) 5 and 11 3) -2 and 8. Follow. Write an absolute value inequality whose solution set is given by the interval notation:? How to write an absolute value equation?
More mi-centre.com: Resolved. After having gone through the step by step solutions for all the problems on "Solving absolute value equations worksheet pdf", we hope that the students would have understood how to do problems on "Solving absolute value equations worksheet pdf".
ABSOLUTE VALUE EQUATIONS AND INEQUALITIES Solution We write an equivalent inequality only when the value of k is positive. With 2 on All absolute value equations have two solutions. False 3. The equation 2x 3 7 is equivalent to 2x 3 7 or 2x 3 7.
False 4. The inequality x 5 is equivalent to x 5orx 5. Knowing how to solve problems involving absolute value functions is useful. For example, we may need to identify numbers or points on a line that are at a specified distance from a given reference point.
You can put this solution on YOUR website! 9 and 21 differ by Sinxe half of 12 is 6, we want the absolute value part to result in the values 6 and -6 in the equation.Download