Solving Two-Step Equations Section odd, Arithmetic is numbers you squeeze from your head to your hand to your pencil to your paper till you get the answer. ~Carl Sandburg, "Arithmetic"
Addition Property Adding the same number to each side of an equation produces an equivalent equation If x-a=b, then x-a+a=b+a, or x=b+a From yesterday (review) Subtraction Property Subtracting the same number to each side of an equation produces an equivalent equation If x+a=b, then x+a-a=b-a, or x=b-a
Multiplication Property Multiplying each side of an equation by the same nonzero number produces an equivalent equation From yesterday (review) Division Property Dividing each side of an equation by the same non- zero number produces an equivalent equation
For Problems 1.Parenthesis 2.Exponents 3.Multiplication/Division 4.Addition/Subtraction Order of Operations MUSTBE DONE BACKWARDS when solving an equation For Equations 1.Addition/Subtraction 2.Multiplication/Division 3.Exponents 4.Parenthesis Because we are working to undo the arithmetic on the variable we follow the reverse order of operations
Examples Addition/ Subtraction first Multiplication/ Division Second
Follow these steps to 1.Simplify Equation 2.(Leave this one blank, we’ll add it later) 3.Work to Isolate your variable 1.Opposite Order of Operations 1.Addition/Subtraction 2.Multiplication/Division 3.Exponents 4.Parenthesis 4.Check your Solution Steps for Solving an Equation Important Reminders What you do to one side, you do to both sides You are working to isolate your variable
Examples
Using formulas Example 4, page 143 As a SCUBA diver descends into deeper water, the pressure of the water on the diver’s body steadily increases. The pressure at the surface of the water is 2117 pounds per square foot. The pressure increases at a rate of 64 pounds per square foot for each foot the diver descends. Find the depth at which a diver experiences a pressure of 8517 pounds per square foot. Practical Example
If you are getting a new texting plan for 50 dollars a month. And cost.01$ per text. Write an equation that represents the texting plan How much would you pay for 2,323 texts?
1.Steps for solving two step equations utilizing reverse order of operations 2.Total is equal to initial plus additional Most Important Points
Solving Two-Step Equations Section odd, Arithmetic is numbers you squeeze from your head to your hand to your pencil to your paper till you get the answer. ~Carl Sandburg, "Arithmetic"