What are the solutions of the first equation? Instructional Implications Provide feedback to the student concerning any errors made. For example, represent the difference between x and 12 as x — 12 or 12 — x.

Do you think you found all of the solutions of the first equation?

A difference is described between two values. If you plot the above two equations on a graph, they will both be straight lines that intersect the origin.

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: 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.

Plug these values into both equations. What are these two values? This means that any equation that has an absolute value in it has two possible solutions. When you take the absolute value of a number, the result is always positive, even if the number itself is negative.

For a random number x, both the following equations are true: Do you know whether or not the temperature on the first day of the month is greater or less than 74 degrees? Questions Eliciting Thinking How many solutions can an absolute value equation have?

Questions Eliciting Thinking Can you reread the first sentence of the second problem? Emphasize that each expression simply means the difference between x and Examples of Student Work at this Level The student correctly writes and solves the first equation: Finds only one of the solutions of the first equation.

If needed, clarify the difference between an absolute value equation and the statement of its solutions. Then explain why the equation the student originally wrote does not model the relationship described in the problem.

Got It The student provides complete and correct responses to all components of the task. Equation 2 is the correct one. Guide the student to write an equation to represent the relationship described in the second problem.

Ask the student to solve the equation and provide feedback. Ask the student to consider these two solutions in the context of the problem to see if each fits the condition given in the problem i.Sep 02, · writing absolute value equations from graphs.

Skip navigation Writing Equations of Absolute Value Functions from Graphs: Writing absolute value equations - Duration. You can denote absolute value by a pair of vertical lines bracketing the number in question.

When you take the absolute value of a number, the result is always positive, even if the number itself is negative. While absolute-value graphs tend to look like the one above, with an "elbow" in the middle, this is not always the case.

However, if you see a graph with an elbow like this, you should expect that the equation is probably an absolute value. While absolute-value graphs tend to look like the one above, with an "elbow" in the middle, this is not always the case. However, if you see a graph with an elbow like this, you should expect that the equation is probably an absolute value.

Kutools for Excel collects many commonly-used formulas for Excel users to quickly apply complicate formulas without remember the formula exactly, such as the Sum absolute values formula, Add months to date formula, Add hours/minutes/seconds to time formula, Find the most common value formula, etc.

Click for day free trial! This means that any equation that has an absolute value in it has two possible solutions. If you already know the solution, you can tell immediately whether the number inside the absolute value brackets is positive or negative, and .

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