**Solving Harder Absolute-Value Equations Purplemath**

About "Writing equations with a given number of solutions" Writing equations with a given number of solutions : We can use the results of linear equations to write an equation that has a given number of solutions.... Can an absolute value equation ever have and infinite amount of solutions? Algebra Linear Inequalities and Absolute Value Absolute Value Equations. 1 Answer Wataru Oct 29, 2014 Yes, it

**Graphing/Solving Absolute Value Equations and Inequalities**

Weâ€™ll look at three cases here: (1) solving and equation for the absolute value of a variable, (2) solving an equation for the absolute value of a function of the variable, and (3) solving inequalities with absolute â€¦... Absolute Value Equations The equation has two solutions: . This fact is shown visually in Figure 2.61, where the graph of intersects the horizontal line at the points . In general, the solutions to with are given by . Thus if , then has two solutions given by . These concepts can be illustrated visually. The graph of with is V-shaped. It intersects the horizontal line twice whenever as

**Solving absolute value equations that have one solution**

Question 991239: I need to write an absolute value equation that has the given solutions of x=8 and x=18. The middle of them is 10. It has to have a two step process in it as well.... One-step Equation Two-step Equation Multi-step Equation Quadratic Equation See all Equations The worksheets cover solving absolute value expression with input and output table, evaluating expression, solving absolute value equation and graphing function.

**Solve Equations with Absolute Value analyzemath.com**

28/08/2018Â Â· To solve absolute value equations, first isolate the absolute value terms by moving anything outside of the vertical bars to the other side of the equation. Next, solve for the positive value of the equation by isolating the variable. Since the absolute variable can represent 2 numbers, then solve for the negative value by putting a negative sign outside the vertical bars. Then, move the... Engaging math & science practice! Improve your skills with free problems in 'Writing Basic Absolute Value Equations Given the Graph' and thousands of other practice lessons.

## How To Write An Absolute Value Equation With Given Solutions

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## How To Write An Absolute Value Equation With Given Solutions

### Weâ€™ll look at three cases here: (1) solving and equation for the absolute value of a variable, (2) solving an equation for the absolute value of a function of the variable, and (3) solving inequalities with absolute â€¦

- Course Transcript - [Voiceover] In this last lesson, We're going to take a look an absolute value equation that has variables on both sides. I know this equation looks a little more difficult but
- The absolute value of a number is its distance away from zero. That number will always be positive, as you cannot be negative two feet away from something. So any absolute value equation set equal to a negative number is no solution, regardless of what that number is.
- Weâ€™ll look at three cases here: (1) solving and equation for the absolute value of a variable, (2) solving an equation for the absolute value of a function of the variable, and (3) solving inequalities with absolute â€¦
- Solution: Since the absolute value does not care about whether a number is positive or negative, if then or . Then we can solve each equation individually to find that x = 1 or 5. Then we can solve each equation individually to find that x = 1 or 5.

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