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Kuta Software - Infinite Algebra 2 Name_____ 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
Worksheet by Kuta Software LLC Algebra 1 Absolute Value Equations Name_____-1-Solve each equation. 1) x = 5 2) r = 6 3) v = 4 4) x = 9 5) m = 2 6) x = −2 7) k − 2 = −8 8) r 3 = 5
finding the absolute value of a number; comparing absolute values; find the values of expressions involving absolute values; solving equations involving absolute values.
1.6 Answers to Absolute Value Equations 1) 8, −8 2) 7,−7 3) 1,−1 4) 2, −2 5) 6, − 29 4 6) 38 9,−6 7) −2,− 10 3 8) −3,9 9) 3, − 39 7 10) 16 5,−6 11) 7, − 29 3 12) − 1 3,−1 13) −9,15 14) 3,− 5 3 15) −2,0 16) 0, −2 17) − 6 7,0 18) −4, 4 3 19) − 17 2, 7 2 20) − 6 5,−2 21) −6,−8 22) 6,− 25 3 23) 1 ...
How to solve absolute value equations. Isolate the absolute value. Split into two separate equations, setting one to the negative and one to the positive. Example: 2x + 6 | - 3 = 13. Isolate the absolute value: ** The steps are the same as if you were getting the x by itself. You move away all other numbers by doing the opposite operation:**
Free worksheet (pdf) and answer key on Solving Absolute Value Equations. 33 scaffolded questions that start relatively easy and end with some real challenges. Plus model problems explained step by step.
