20160921 literal equations .notebook September 21, 2016 Today is Wed 9/21 Do Now: -Take out HW -Quiz on Friday (Yes extra help) -Copy Tonight's HW Student Journal Page 25-26 all questions HW Answers 1. No. There is no solution 2. Distribute, subtract 4x from both sides, add 24 to both sides, divide each side by 5 to get x = 6 3. x = 3 13. x = 3 5. p = 7 15. y = 12 7. t = 1 19. no solution 9. x = 1/2 21. one solution, h = 3 11. g = 2 23. infinitely many 20160921 literal equations .notebook September 21, 2016 20160921 literal equations .notebook September 21, 2016 Today's Objective Rewriting Equations and Formulas "Literal Equations" 20160921 literal equations .notebook September 21, 2016 Brainstorm.... Useful formulas you've used in the past You can use the equation-solving techniques from earlier lessons to rearrange formulas and solve for a specific variable symbol Example: If I know that the area of a rectangle is 8 and that the length is 4. I can solve for the width by rearranging the formula A = lw A w= l 20160921 literal equations .notebook September 21, 2016 Exercise 1 Solve the equations for x. 2x - 7 = 5 ax - b = c Did you have to do anything different in the last case? Remember Variables are place holders for numbers When solving equations with several variables, you use the same properties and reasoning as with single-variable equations. 20160921 literal equations .notebook September 21, 2016 Write 3x + 2y = 8 so that y is a function of x. (solve for y) Write 5x + 4y = 20 so that y is a function of x. (solve for y) Rearrange each formula to solve for the specified variable. a) Given A = P(1 + rt) i) Solve for P ii) Solve for t 20160921 literal equations .notebook September 21, 2016 b) Given K = 1 mv2 2 i) Solve for m ii) Solve for v Equations with more than one variable: Example : Solve for x in terms of a, b, c ax + bx = c 20160921 literal equations .notebook September 21, 2016 Summary 1.How is rearranging formulas the same as solving equations that contain a single variable symbol? 2.How is rearranging formulas different from solving equations that contain a single variable symbol? 20160921 literal equations .notebook September 21, 2016
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