Next we will remove the absolute value by making a three part inequality if the absolute value is less than a number or making an or inequality if the absolute value is greater than a number. Worksheet by kuta software llc algebra 2 5 1.
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Absolute value equations and inequalities review q v2q0e1j5n knu tdab siopfotawtaerseb jlxlcck m m baylml rtiygwhmt sy ir ershevrhviepde 1 solve each equation.
Absolute value equations and inequalities worksheet pdf. X s2l0 21a2x nkzurtra7 dsborf stew8afrxej nlvl kcm a x ka8l plw qraiwgih rt3s q cr 6e8s neqrnv cekd y 1 r vm6audbet 2w migteh s kipndfsi yniktheb 1aulzgkepb 5rpaj o1w v worksheet by kuta software llc kuta software infinite algebra 1 name absolute value inequalities date period. º11 2x 7 11 write equivalent compound inequality. 1 x 7 2 x 1 3 b 3 11 4 9x 72.
Absolute value equations and inequalities absolute value definition the absolute value of x is defined as 0 0 where x is called the argument steps for solving linear absolute value equations. 1 96n 5 3 962 8 28p 8 72 3 72 n 9 754 3 5 6n 10 13. Solving an inequality of the form ax b c solve 2x 7 11.
Identify what the isolated absolute value is set equal to a. On questions 1 thru 14 did the student evaluate the questions correctly. Isolate the absolute value.
Absolute value equations and inequalities name id. Absolute value inequalities worksheet solve the inequality and graph the solution. Students must be careful about extraneous solutions.
S ckfuftwa0 nsboqfst3woaprcey 7leljch m p gaqlvlr drviiguh8tfst lr 0ejs6ewrhvjezdh o n amua0dse0 lwkiitehg iyncf9iznpi7tbep 9ailwgiekbmrhao s1m d worksheet by kuta software llc coordinate algebra name absolute value equations inequalities review date period solve each equation. Our first step will be to isolate the absolute value. 13 out of 14 65 points c.
12 out of 14 60 points d. Convert the absolute value inequalities into two simple linear inequalities and solve the problems. Page 1 of 2 1 7 solving absolute value equations and inequalities 51 an absolute value inequality such as x º 2 4 can be solved by rewriting it as a compound inequality in this case as º4 x º 2 4.
11 out of 14 55. We can solve absolute value inequalities much like we solved absolute value equa tions. 2 1 2.
No solution cases are also included. 1 date period a o2u0y1l5g wkmuctuar zsqopf ttw ahr e elplhcv a kaqlblp ir imgwhctnsg mreedsqemrtvbeodf 1 solve each equation. Solution 2x 7 11 write original inequality.
Worksheet by kuta software llc algebra 1 review. Begin your practice with our free pdf worksheets. All 14 70 points b.
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