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To solve absolute value equations, find x values that make the expression inside the absolute value positive or negative the constant. To graph absolute value functions, plot two lines for the positive and negative cases that meet at the expression's zero.
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- Solve Absolute Value Equations
Intro to absolute value equations and graphs Worked example:...
- Worked Example
1.6 Practice - Absolute Value Equations Solve each equation. 1) |x|=8 3) |b|=1 5) |5+8a|=53 7) |3k+8|=2 9) |9+7x|=30 11) |8+6m|=50 13) |6−2x|=24 15) −7|−3−3r|=−21 17) 7|−7x−3|=21 19) |−4b−10| 8 =3 21) 8|x+7|−3=5 ... Answers to Absolute Value Equations 1) 8, −8 2) 7,−7
16 lis 2022 · Here is a set of practice problems to accompany the Absolute Value Equations section of the Solving Equations and Inequalities chapter of the notes for Paul Dawkins Algebra course at Lamar University.
This topic covers: Solving absolute value equations. Graphing absolute value functions. Solving absolute value inequalities.
Intro to absolute value equations and graphs Worked example: absolute value equation with two solutions Worked example: absolute value equations with one solution
To Solve Absolute Value Equations: 1. Isolate the absolute value expression to one side of the equal sign. 2. Set the inside of the absolute value equal to + and to - the value on the other side of the equal sign (remove the absolute value bars in this step). 3. If needed, solve for the variable in these 2 new equations. 4.
There are eleven (11) practice problems in this collection regarding absolute value equations. Whether you're a beginner or seeking a challenge, there's something here for you. As you tackle each problem, remember that in every attempt, right or wrong, fuels your mathematical growth.
