The process of simplifying absolute value expressions involves converting an expression that incorporates absolute value (for instance, |x-3|) into a more straightforward, corresponding form. The absolute value signifies a number's distance from zero, which is invariably positive. To simplify these expressions, it's beneficial to use various absolute value properties such as |a*b|=|a|*|b| and |a/b|=|a|/|b|.
| Topic | Problem | Solution |
|---|---|---|
| None | Simplify the expression \(|2x - 3| - |x - 1|\) wh… | Step 1: For \(x < 1\), the absolute value of \(|2x - 3|\) will be \(-2x + 3\) and \(|x - 1|\) will … |
| None | Evaluate the following expression when $x=-5, y=4… | Given the expression \(|x|+2 t-6 y\) and the values \(x=-5\), \(y=4\), and \(t=7\). |