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Published byNorma Dickerson Modified over 9 years ago
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1.4 Rewriting Equations and Formulas
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In section 1.3, we solved equations with one variable. Many equations involve more than one variable. We will solve such equations for one of its’ variables. Example 1: Solve the following equations for y: a. 11x – 9y = –4 b. 2x + 3y = 25 c. xy – x = 4 Find x if y = 2,4,6,8,10 To make this easier, why not change it to y =?
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Common Formulas Distanced = rtd = distance, r = rate, t = time Simple InterestI = PrtI = interest, P = principal, r = rate, t = time TemperatureF = 9/5 C + 32F = degrees Fahrenheit, C = degrees Celsius Area of a triangle A = ½ bh A = area, b = base, h= height Area of a RectangleA = lwA = area, l = length, w = width Perimeter of a Rectangle P = 2l + 2wP = perimeter, l = length, w = width Area of a Trapezoid A = ½ (b + b)h A = area, b = bases, h = height Area of a Circle A = (3.14)r ² A = area, r = radius Circumference of a Circle C = 2(3.14)rC = circumference, r= radius
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You are selling two kinds of shirts – one cheap and the other quality. Write an equation with more than one variable that represents the total revenue. You expect to sell 125 of the cheapies for $8. To meet your goal of $1600 in sales, what would you need to charge for the quality shirts if you can sell 50 quality shirts? 60quality shirts?
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Example 2: 1. d=rt a. d = 256 miles and r = 24 mph, what is t? b. d = 412 miles and r = 52 mph, what is t? 2. P = 2l + 2w If the perimeter of a rectangle is 124 cm and one side needs to be 24 cm, what is the length of the other side? 3. F = Solve for C.
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