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Transforming Formulas

Transforming Formulas. Chapter 4.4. What is a formula?. A formula shows a relationship between two or more variables. To transform a formula, you rewrite it to describe one quantity in terms of the others. Formula: d = rt. d = distance, r = rate, t = time

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Transforming Formulas

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  1. Transforming Formulas Chapter 4.4

  2. What is a formula? • A formula shows a relationship between two or more variables. To transform a formula, you rewrite it to describe one quantity in terms of the others.

  3. Formula: d = rt d = distance, r = rate, t = time Suppose we want to calculate the rate, not distance. Solve for rate (r). d = rt If t and d were just normal numbers, we would do the inverse: divide both sides by t to get r by itself. This is the answer: a rearranged formula. No numbers!

  4. Sam drives 180 miles in three hours. If his rate is constant, how fast did he drive? • What do we want to know? • RATE • What should we know already? d = rt (distance = (rate)(time) • How fast did he go? 180 = r(3) 3r =180 3 3 r = 60 mph We divide the distance by time.

  5. Treat the variables like numbers, use inverse operations. Solve each equation for the given variable: ab + 10 = 3; a ab + 10 = 3 We want a by itself. –10 –10 ab = –7

  6. a = bcd – e; Solve for c a + e = bcd – e+e Inverse a + e = bcd We are multiplying c by two variables. We can divide them both in one step.

  7. Homework: pg 177 (1-8 all, 10-13 all)

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