Transforming Formulas

MG
by Marel Guzman4 views·Updated Mar 23, 2020
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  1. Harold, seventh grader, is we're going to continue with her
  2. math class.
  3. We're going to use what we already know.
  4. That is clearing and solving.
  5. One step two step equations.
  6. Okay, Now in the sample number one, we're going to
  7. use one step equation.
  8. We're going to Seoul for it, and we're going toe
  9. clear for a variable.
  10. Okay? For the moment, we're not going to use numbers,
  11. but only variables.
  12. In that case, we got that circumference of a circle
  13. that it's c equal to pi kinds are no over
  14. here. If you see the instructions you in the arm
  15. brown and say is clear for the variable are okay.
  16. So, as you can see in what terms are to
  17. decide off art, you can see that we have to
  18. pie. So what would happen with those two numbers with
  19. the two pie?
  20. We're going to cancel it.
  21. And what is the two part doing over there?
  22. As you can see, it's multiplying.
  23. So how are you going to cancel it?
  24. We're going to divide by the same term.
  25. We want to cancel it.
  26. In that case, if you want to get rid, have
  27. to buy, and if it's multiplying.
  28. We're going to divide by the same term that it's
  29. too pie.
  30. I'm going to divide both sides of the equation by
  31. the following.
  32. As you can see, I'm gonna divide.
  33. See the weather by two pi and two part development
  34. to point Those are now over there.
  35. You you're going to see that you can cancel the
  36. two pints, and in the end, you're going to have
  37. the following equation.
  38. See the right of my two part.
  39. In that case, we don't have any numbers.
  40. They don't give us any numbers for the variables.
  41. So we're going to leave it like that.
  42. We're going to leave it like ze debate about two
  43. point equal are and that's it.
  44. And how do we know if this correct?
  45. Because if you see the instructions they tell you clear
  46. for our that means the art and it's to be
  47. alone. Okay, that is the first example.
  48. I'm going to continue with the second example.
  49. It's going to be with 22 steps.
  50. It's going to be a little bit more long.
  51. Okay, the instructions are clear for double you.
  52. You have be equal to l.
  53. That's two.
  54. Double you as you can see we want to clear
  55. for the variable w We want to leave it alone.
  56. So what is the first thing you need to do?
  57. Wanted to get rid with all the terms that are
  58. with W.
  59. And how do we get rid of them?
  60. Because we got to step equations over there.
  61. As you can see, we used the pem dis we
  62. Is it the inverse way?
  63. What is the first thing we need to get rid
  64. off addition or subtraction?
  65. As you can see, we have an addition.
  66. Over there it is to owl adding to W.
  67. So the first vision to L.
  68. I want to cancel that term.
  69. So how do you cancel to l?
  70. I'm going to subtract it because to Ellis, adding, I'm
  71. going to obstructed by the same term both sides of
  72. the equation.
  73. As you can see, you're gonna have to outlets W
  74. minus two out and B minus two hour because you
  75. apply it on both sides of the equation.
  76. As you continue over there, you're going to see that
  77. I'm going to have these new equation.
  78. I'm going to have a B minus two hour equal
  79. to W.
  80. But as you can see we still have the number
  81. two over there.
  82. That number twos multiplied the letter W the variable W
  83. So that means I will want to cancel it.
  84. I'm going to cancel the tool that it's multiplying w
  85. And what if the inverse separation of multiplication it's going
  86. to be division.
  87. So I'm going to divide the two sides by the
  88. number two.
  89. But as you can see in the left part, we
  90. have two operations.
  91. You're gonna have a B minus two out.
  92. So I'm going to divide all that part of the
  93. equation. I'm going to divide it by two.
  94. As you can see over there, you can cancel between
  95. one side and in the rest part I'm going to
  96. divide. Oh, that part of the equation, the left part
  97. might all of them.
  98. So my final question is going to be p minus
  99. two. Out divided by two will be equal.
  100. W and you can see we're ready.
  101. Clear for the variable double you.
  102. We're going to follow step by step to solve the
  103. next one.
  104. We're going to use what we already know, and the
  105. third example you're going to use numbers.
  106. But after you saw for the equation?
  107. Go ahead.
  108. Over here we have, ah word problem that say's you
  109. plan a 600 mile street to New York City.
  110. Ust make your trip will take about 10 hours to
  111. estimate your average speed.
  112. Solved the distance from that, the equal Artie for art
  113. then substitute to find the average speed.
  114. So what is the first thing when it's due over
  115. here? We're going to find the information that we have.
  116. As you can see, the formal that we're going to
  117. use is the equal rate times, time for distance, equal
  118. rate times time.
  119. We have used this equation a lot of times in
  120. our class, so you should remember it.
  121. We use it when you run in the field, and
  122. we're going to look first for the equation.
  123. As you can see, we got time that is going
  124. to be T.
  125. And it says you have the estimate off 10 hours,
  126. so the time is going to be 10 hours.
  127. The distance it takes from New York City.
  128. It's 600 miles.
  129. We're going to re percent with the and the speed
  130. that he needs to go or dare.
  131. Eight minutes to go is going to be are we
  132. don't know what is the speed.
  133. So we're going to look for it right now.
  134. What does that mean?
  135. That means that if I don't have the rates, I
  136. need to clear all the equation for the rate and
  137. we're going to start solving for it, as you can
  138. see over there on the r and the tr multiplying.
  139. So I'm going to divide both sides to cancel the
  140. tea or the time.
  141. Okay, So I'm going to divide time, my time and
  142. distance by time.
  143. Both sides.
  144. In the end, you're going to have the following firm.
  145. Never. That wasn't easy Formula One step.
  146. And after that, after I clear for the viable aren't
  147. What am I going to do?
  148. I'm going to apply.
  149. I'm going to substitute with information that I have.
  150. I have the d What is the that the is
  151. the distance And how much is the distance?
  152. 600 miles.
  153. And I have the tea.
  154. What is the T is the time And what is
  155. the time?
  156. 10 hours.
  157. So I'm going to replace them.
  158. As you can see, I'm gonna have 600 miles divided
  159. by 10 hours equal are.
  160. And you can see that in the end you're going
  161. to have a rate or a speed off 60 miles
  162. bare our whether that means that you're going to take
  163. the speed you're going to trouble is going to be
  164. 60 miles bare.
  165. Our okay, This is just things you already know is
  166. to clear it's saw one step, two step equations, maybe
  167. more. It's going to apply the formula, apply the values
  168. that we have already.
  169. As you can see, the first thing when it's due
  170. is so for the variables for clearing.
  171. And after that, we're going to replace the values.
  172. No, this is the end of the video.
  173. I hope you're reviewing.
  174. Your house is I hope you're doing healthy and then
  175. get See you next time.