Questions Eliciting Thinking Can you reread the first sentence of the second problem? Emphasize that each expression simply means the difference between x and Questions Eliciting Thinking How many solutions can an absolute value equation have?
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? Provide additional opportunities for the student to write and solve absolute value equations.
What are the solutions of the first equation? Instructional Implications Provide feedback to the student concerning any errors made. Examples of Student Work at this Level The student: Instructional Implications Model using absolute value to represent differences between two numbers.
Got It The student provides complete and correct responses to all components of the task. Then explain why the equation the student originally wrote does not model the relationship described in the problem.
Examples of Student Work at this Level The student correctly writes and solves the first equation: 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 Why is it necessary to use absolute value symbols to represent the difference that is described in the second problem?
If needed, clarify the difference between an absolute value equation and the statement of its solutions. Finds only one of the solutions of the first equation. What are these two values?
Guide the student to write an equation to represent the relationship described in the second problem. A difference is described between two values. Should you use absolute value symbols to show the solutions? What is the difference? 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.Explain the method of writing absolute value equations and inequalities as compound statements.
Students should make the connection quickly if this is the third method. Ask the student to solve the second equation and interpret the solutions in the context of the problem. Ask the student to identify and write as many equivalent forms of the equation as possible.
Then have the student solve each equation to show that they are equivalent. Consider implementing MFAS task Writing Absolute Value Inequalities (A-CED). Absolute Value / Inequalities review Worksheet by Kuta Software LLCThree points that lie on a function f(x) are shown below: 9) x y Write a single absolute value equation that has the following solutions 18) -4 and 4 19) -3 and 11 20) and -2 21) 4 and Algebra 1 - Equations Worksheets Absolute Value Equations.
This algebra 1 worksheet will produce absolute value problems with monomials and polynomials expressions. Type of Problems. Monomial Expressions: Polynomial Expressions (no coefficients) Polynomial Expressions (with coefficients).
Absolute Value Equations. Showing top 8 worksheets in the category - Absolute Value Equations. Some of the worksheets displayed are Absolute value equations, Solving absolute value equations, Absolute value, Practice, Absolute value, 31 51 82, Algebra2go.
But if \(x\) is a positive number, then the absolute value of \(x\) is itself. Unless \(x = 0\), every absolute value equation should have two solutions.
Let’s see if we can solve absolute value equations now.Download