Chapter 1. 3 Solving Linear Expressions #3 Only having one truth about each object, whoever finds it knows as much as one can know about it. Rene Descartes
Terms • Equation – Mathematical expression containing an equality. • Linear Equation – Equation with only first order variables, NO powers. • Solution – The value of a variable(s) that makes an expression true. • Equivalent Expressions – When two or more equations have the same solution.
Equivalent Transformations • Addition – If a=b, then a+c=b+c • Subtraction- If a=b, then a-c=b-c
Equivalent Transformations • Multiplication- If a=b, then a·c=b·c • Division- If a=b, then a c=b c
Solving Linear Equations 1. Eliminate Grouping Symbols 2. Group Variables 3. Add/Subt. Constants 4. Multy/Divide Coefficients
Note • To check your work…. • Simply plug in you answer to the original problem
Solving Linear Equations 1. Eliminate Grouping Symbols 2. Group Variables 3. Add/Subt. Constants 4. Multy/Divide Coefficients
Solving Linear Equations 1. Eliminate Grouping Symbols 2. Group Variables 3. Add/Subt. Constants 4. Multy/Divide Coefficients
Solving Linear Equations 1. Eliminate Grouping Symbols 2. Group Variables 3. Add/Subt. Constants 4. Multy/Divide Coefficients
Find all sides of the figure
Catalog purchase • You are ordering T-shirts from a catalog. Each T-shirt costs $15. The cost of shipping is $6 no matter how many you order the total cost is $111. How many Tshirts did you order?