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02.07 Literal Equations Essential Questions How can you solve linear equations and inequalities in one variable, including equations with coefficients represented by letters? How can you rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations? In the equation: "distance equals rate times time” ____________________ is the most important part. d=(r)(t) In d=(r)(t) the more efficient way to evaluate r is to__________________ it from the rest of the equation first. Work ______________________ to isolate the variable. The key to equations is ________________________. Some literal equations (formulas) have several variables. In order to solve for a certain variable, you must consider the ______________________of the variable you are solving for and “________________” what is around it. When the entire equation is made up of variable you will need to ____________________________________ to solve for the desired variable. Area of a Rectangle = Length • Width A = L • W To get W on one side by itself, you need to get rid of____. W is being multiplied to ____ so do the _________________ and divide both sides by ___. Try it! Solve for W: A=L•W Work Space: A rectangular bedroom has a length of 14 ft. If the area of the room is 126 ft2, what is its width? Now, you can ______________________the values you were given for A and L to find W! W= ___ Solving literal equations and inequalities is exactly the same as _______________________________________ ____________________________________. Determine which variable needs to be ______________________. Highlight the variable and determine what __________________ are being applied to that variable. _____________________________________to isolate the variable. When multiplying or dividing by a negative number, be sure to _________________________________