Writing absolute value inequalities from word problems

Evaluate the expression x — 12 for a sample of values some of which are less than 12 and some of which are greater than 12 to demonstrate how the expression represents the difference between a particular value and Finds only one of the solutions of the first equation. Got It The student provides complete and correct responses to all components of the task.

The student does not understand how to write and solve absolute value inequalities. Instructional Implications Provide feedback to the student concerning any errors made in solving the first inequality or representing its solution set.

How did you solve the first absolute value inequality you wrote? What is the constraint on this difference? Why or why not? What would the graph of this set of numbers look like?

This is one of the reasons why we read the problem so much in Step 1 and identify the unknowns in Step 2.

Writing Absolute Value Inequalities

Should you use absolute value symbols to show the solutions? Examples of Student Work at this Level The student correctly writes and solves the absolute value inequality described in the first problem.

Answer the Question Believe it or not, this is the step that people forget most often. Think about others ways you might use inequalities in real world problems. Check or justify your answer.

Solve We have an equation; now to solve it for the unknown. What is the difference? The student correctly writes the second inequality as or. If needed, clarify the difference between an absolute value equation and the statement of its solutions.

What are the solutions of the first equation? Why is it necessary to use absolute value symbols to represent the difference that is described in the second problem? You would probably think that at least means less than. Why is it necessary to use absolute value symbols to represent the difference that is described in the second problem?

Does not represent the solution set as a disjunction. Emphasize that each expression simply means the difference between x and Write the equation or inequality.

Absolute value word problems

In other words, what is the problem asking us to find? Assigning labels will help us transition from words to the equation that will ultimately lead to the answer. How many miles can Katie travel without exceeding her budget? Examples of Student Work at this Level The student: Inequality Key Words at least - means greater than or equal to no more than - means less than or equal to more than - means greater than less than - means less than Ok Write It Out A helpful way to solve any word problem is to first write an "equation" using words.

I know it always helps too, if you have key words that help you to write the equation or inequality. Review, as needed, how to solve absolute value inequalities.

How many weeks can Keith withdraw money from his account? Do you think you found all of the solutions of the first equation? Examples of Student Work at this Level The student:Ask the student to identify and write as many equivalent forms of the second inequality as he or she can.

Then have the student solve each form to show that they are equivalent. Consider implementing MFAS task Solving Absolute Value Inequalities (A-CED). A helpful way to solve any word problem is to first write an "equation" using words. That’s right, no numbers. This is a way to map out what we'll later replace with variables and numbers.

Absolute value word problems These absolute value word problems in this lesson will explore real life situations that can be modeled by either an absolute value equation or an absolute value inequality. 19­21 Absolute Value Inequalities Real World ultimedescente.comok April 14, CW P p For a scholarship competition, Eva had to write an essay.

I know that solving word problems in Algebra is probably not your favorite, but there's no point in learning the skill if you don't apply it. I promise to make this as easy as possible. Pay close attention to the key words given below, as this will help you to write the inequality.

Knowing the definition for a compound inequality is one thing, but being able to identify one in a word problem or phrase can be an entirely different challenge. Arm yourself by learning some of the common phrases used to describe a compound inequality and an absolute value inequality.

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Writing absolute value inequalities from word problems
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