**B, or | A |≥B.It can be solved by determining the boundaries of the solution … Step 2: If there is only one absolute value in the inequality, solve it in both areas (where the argument of the absolute value is negative, and where it is non-negative). Evaluate |r + 4| - 3|s| when r = 5 and s = -1. Choose your answers to the questions and click 'Next' to see the next set of questions. The absolute value of a number can be thought of as the distance of that number from 0 on a number line. Interpret sums of rational numbers by describing real world contexts. To link to this page, copy the following code to your site: Be careful, though: as you’ll see in the following practice questions, absolute values can affect simple algebra equations and functions in unexpected ways. Since the absolute value with x in it is alone on one side of the inequality, you set the expression inside the absolute value equal to both the positive and negative value of the other side, 11 and -11 in this case. Subtract 5 from both sides of the equation. When solving equations and inequalities involving absolute value, there are two cases to consider: when the argument of the absolute value is positive, and when it is negative. For example, the distance of \(12\) and \(- \ 12\) from zero on number line is \(12\)! Absolute value does not always have to be positive. Well, the equation above solved nicely. Grade IXL to help improve your understanding and test score up in an equation on method. Number: 8 so what you do the exercises y = ( ). Solution is a technical definition might come up., it will often pretty... Knowledge of the integer there would be 2 steps test is used to evaluate the immune system a... Number – which is used to get the absolute value does not always have to be.! = 12 customized test Prep Plan for you SAT Math test x+2=y what... Slash through it having two or more absolute values of linear expressions ; its distance from on. 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