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2.5 Literal Equations and Formulas. I can rewrite and use literal equations and formulas. Literal Equations. Involves two or more variables You can use methods learned previously to isolate any particular variable. Ex: 11x + 3y = 67. Writing a Literal Equation. - PowerPoint PPT Presentation
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2.5 Literal Equations and FormulasI can rewrite and use literal equations and formulas
Literal Equations
• Involves two or more variables• You can use methods learned previously to
isolate any particular variable.• Ex: 11x + 3y = 67
Writing a Literal Equation
• You are ordering pizzas and sandwiches. You have a budget of $80.•Write an equation and define your variables.• Let x be the number of pizzas and y be the number of sandwiches.• 10x + 5y = 80
Solving for one of the Variables
• How many sandwiches can you buy if you buy 3 pizzas?• So x = 3 and we must solve for y.• 10x + 5y = 80• 5y = 80 – 10x• y = 16 – 2x• y = 16 – 2(3)• y = 16 – 6 = 10 sandwiches
Rewriting a literal equation
•What equation do you get when you solve ax – bx = c for x?• Factor out the x • x(a – b) = c• Divide by a – b • x = • It is ok to divide by a variable or variable
expression.
Formulas• An equation that states a relationship between
quantities.• They are special types of literal equations.• Some use the same variables, but they are
defined differently.• It is so important to DEFINE YOUR VARIABLES!
• Ex:
You try!
•What is the radius of a circle with a circumference of 64 ft? Round to the tenth.• Formula for circumference:• Solve for r:
• Substitute 64 for C:• Use 3.14 for pi:
Assignment
ODDS ONLYP.112 #11-33