From the course: Learning Algebra: Solving Equations

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Solutions: Solve absolute value equations

Solutions: Solve absolute value equations

From the course: Learning Algebra: Solving Equations

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Solutions: Solve absolute value equations

- These are the five solutions to worksheet number twelve. Check your answers, and if any of your answers don't match mine, continue watching this video, and we'll walk step by step through every problem. The equation for letter A is. To begin solving this equation, we need to isolate the absolute value on the left-hand side. That means that we need to get rid of this minus 12. So in order to do that, we're going to add 12 to both sides of the equation. So I'm going to add 12. And we're left with the absolute value of 8r minus 5 equals 17 plus 12 is 29. Now that the absolute value is isolated, we can begin solving. To solve, remember we need to split this into two equations. The first equation is going to be our absolute value expression, 8r minus 5. And that can equal the positive answer because the absolute value of 29 equals 29. The second equation, we're going to take our same expression, and we know that the value inside of the absolute value could equal negative 29. So now we…

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