Solving an absolute value equation

Worked example: absolute value equation with two solutions. This is the currently selected item. Free absolute value equation calculator - solve absolute value equations with all the steps.

Set up two equations and solve them separately. Intro to absolute value equations and graphs. And one way you can interpret this. An absolute value equation is an equation that contains an absolute value expression.

The only additional key step that you need to remember is to separate the original absolute value equation into two parts: positive and negative (±) components. I1Iz BKhuXtca v BS1oXfyt rw 4a Brye r LkLJC O. A Cl Wln qr 8iWgjh xt 3sl yrve msneSrhv0e td 4. O q PMla Bdmef gwfi6tVh T KIdn Uf7i Wn5iMtfe f BA0l eg0e kb 8rSaa jl. Really clear math lessons (pre-algebra, algebra, precalculus), cool math games, online graphing calculators, geometry art, fractals, polyhedra, parents and teachers areas too.

Simpler Harder Special Case. An extraneous solution is an apparent solution that must be rejected because it does not satisfy the original equation. How to solve an absolute value equation ? In the above absolute value equation , we can notice that there is only absolute part on the left side. Here a and k are real. When solving equations with absolute value we can end up with more than one possible answer.

Then set its contents equal to both the positive and negative value of the number on the other side of the equation and solve both equations. In this section, we will learn, how to solve the equations in which we have absolute value sign on both sides. SOLVING EQUATIONS CONTAINING ABSOLUTE VALUE (S).

Step 4: Check your answer analytically or graphically. Taking the equation at face value, you don’t know if you should change what’s in between the absolute value bars to its opposite, because you don’t know if the expression is positive or negative. Solve for x in the following equation. How do you solve an equation with an absolute value ? When faced with an absolute value equation , we need to correctly utilize the definition of absolute value.

Definition: Let x be some variable or algebraic expression. Study Tip Notice that the solutions to the absolute value equation ∣ x − ∣ = are units from 3. If students look at the process of solving an equation in this way, the absolute value function is just one more symbol in the way. Isolate the absolute value.

Identify what the isolated absolute value is set equal to… a. What is the absolute value of a number? Give an example of the absolute value of a number. The absolute value of a number cannot be negative. How many other numbers have this absolute value? State the number or numbers.

This same process can be also be used to solve absolute value equations. Equations that involve one or more absolute value expressions can be solved by breaking them into piecewise functions. Each “piece” will start and end at a point where an expression inside absolute value bars changes sign. 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. You may need to review the lesson about how to solve absolute value equations and absolute value inequalities.

In this interactive game, students will practice solving absolute value equations. This fun game is a great review activity that students can try at school or at home. Absolute Value Equations and Inequalities - PDFs.