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Solving Absolute Value Equations Date_____ Period____ Solve each equation. 1) 3 x = 9 {3, −3} 2) −3r = 9 {−3, 3} 3) b 5 = 1 {5, −5} 4) −6m = 30 {−5, 5} 5) n 3 = 2 {6, −6} 6) −4 + 5x = 16 {4, − 12 5} 7) −2r − 1 = 11 {−6, 5} 8) 1 − 5a = 29 {− 28 5, 6} 9) −2n + 6 = 6 {0, 6} 10) v + 8 − 5 = 2 {−1, −15}-1-
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. Problem #1:
Worksheet by Kuta Software LLC. Kuta Software - Infinite Algebra 1. Absolute Value Equations. Solve each equation. 1) 6 m = 42. {7, −7} 3) k − 10 = 3. {13, 7} 5) 7 + p.
21 wrz 2023 · Absolute value equations can have up to two solutions. To solve an absolute value inequality involving “less than,” such as \(|X| ≤ p\), replace it with the compound inequality \(−p ≤ X ≤ p\) and then solve as usual.
16 lis 2022 · For problems 6 & 7 find all the real valued solutions to the equation. 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.
Sal solves a word problem about a carpenter by writing an appropriate absolute value inequality and solving it. Created by Sal Khan and Monterey Institute for Technology and Education.
Learn to solve word problems that ask us to apply our new absolute value knowledge. Created by Sal Khan.
