Part 1: Class notes + Practice Examples



Lesson 1.4: Rewriting Equations and formulasPart 1: Class notes + Practice ExamplesGoal 1: Equations with more than one variableThere are two ways you can solve an equation with more than one variable. Method :1 substitution Method 2: SolveExamples: Solve 7x -3y = 8 for yGiven the equation x + xy = 1, find the value of y when x = ?1 and x = 3.You are organizing a benefit concert. You plan on having only two types of tickets: adult and child. Write an equation with more than one variable that represents the revenue from the concert. How many variables are in your equation?BENEFIT CONCERT: For the concert in Example 3, your goal is to sell $25,000 in tickets. You plan to charge $25.25 per adult and expect to sell 800 adult tickets. You need to determine what to charge for child tickets. How much should you charge per child if you expect to sell 200 child tickets? 300 child tickets? 400 child tickets?Goal 2: Rewriting common formulas The formula for the perimeter of a rectangle is P = 2? + 2w. Solve for wYou have 40 feet of fencing with which to enclose a rectangular garden. Express the garden’s area in terms of its length only.Part 2: ClassworkComplete this statement: A = ?w is an example of a(n) ___________________________.Use the equation from Example 3. Describe how you would solve for A.Solve the equation for y. 4x + 8y = 17 5x - 3y = 9 5y - 3x = 15 34 x + 5y = 20 xy + 2x = 8 23 x –12 y = 1250838105123815The area A of an ellipse is given by the formula A = πab where a and b are half the lengths of the major and minor axes. (The longer chord is the major axis.) Solve the formula for a. Use the result from Exercise 10 to find the length of the major axis of an ellipse whose area is 157 square inches and whose minor axis is 10 inches long. (Use 3.14 for π.) Part 3: Homework Page 22-24 Numbers 12-20 even, 24-26, 31, 33-42 ................
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