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Solving Linear Equations and Special Cases

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Maria Teoxon

The document provides steps for solving linear equations, including changing subtraction to addition of negatives, removing grouping symbols and exponents, combining like terms, isolating the variable, and identifying special cases where there are no solutions or infinite solutions. It then provides example equations to solve and identifies the correct solutions.

Education
1 of 15
Solving Linear Equations Chapter 3
Steps to Solving Equations ,[object Object],[object Object],[object Object],[object Object],[object Object]
Steps to Solving Equations (cont’d) ,[object Object],[object Object],[object Object],[object Object],[object Object]
Special Cases ,[object Object],[object Object],[object Object],[object Object]
Solve: 6 – b = 5 b + 30 ,[object Object],[object Object],[object Object],[object Object],[object Object]
Solve: 12 x + 43 = 21 – 10 x ,[object Object],[object Object],[object Object],[object Object],[object Object]
Solve: ,[object Object],[object Object],[object Object],[object Object],[object Object]
Solve: ,[object Object],[object Object],[object Object],[object Object],[object Object]
Solve: 5 y – 2 y = 3 y + 2 ,[object Object],[object Object],[object Object],[object Object],[object Object]
Solve: 3( a + 1) – 5 = 3 a – 2 ,[object Object],[object Object],[object Object],[object Object],[object Object]
Solve: 2(7 + 3 t ) = - t ,[object Object],[object Object],[object Object],[object Object],[object Object]
Solve: –3( x + 5) = 3( x – 1) ,[object Object],[object Object],[object Object],[object Object],[object Object]
Which of the following equations is false for all values of m ? ,[object Object],[object Object],[object Object],[object Object],[object Object]
Ken and Maggie are feeding their dogs. They start with an equal number of bones. Ken fed 4 dogs and had one bone left. Maggie fed 2 dogs and had five bones left. How many bones did each dog get? ,[object Object],[object Object],[object Object],[object Object]
Travis and Bill earn the same hourly pay. One week their paychecks were equal, but Bill worked 26 hours and Travis worked 18. Travis got a $50 bonus for overall good work attendance. How much total did each person earn that week? ,[object Object],[object Object],[object Object],[object Object],[object Object]

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Solving Linear Equations and Special Cases