September 23, 2013

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September 23, 2013

  1. 1. At the V6 Math Site Tutorial on Solving Equations with Fractions
  2. 2. Steps for Solving Equations: 1. Clear any fractions 2.Distribute if possible. 3. Simplify each side of equation 4. Move Constants & Variables to opposite sides of equation 5. Simplify, divide by coefficient, solve for variable
  3. 3. How to Solve Fractional Equations Solving one fraction equations: The goal is always to clear the fractions the easiest way possible. 2. Instead, let's clear the fractions by multiplying each term by the number which cancels the denominator (⅓x) (⅓) = 9 ; x - 1 = 27 1. Combine like terms if easier. Are there like terms? Yes, there are, but let's not combine them now. 3. Isolate the variable on the left, then divide by its coefficient. x = 28
  4. 4. How to Solve Fractional Equations Solving Equations with More than one Fraction: 1. Since combining like terms is easy this time, do that first. 1/2x = 1/5x + 6 2. Here we have 2 different denominators, so we find the Least Common Denominator (LCD); The LCD of 2 and 5 is ? Now we have: 5/10x = 2/10x + 6. What is our next step? Multiply all 3 terms by 10/1; Our equation now looks like: 5x = 2x + 60; Completing the steps we get: 5x - 2x; 3x = 60; x = 20
  5. 5. How to Solve Fractional Equations Clearing Decimals from Equations 1. .3x + .4 = .6x + .7 -.5x 2. 0.32x + 0.4 = 0.6x + 0.7 -0.55x What if…The equation looks like this: How many terms are there? This is one term 5x – 30 = 2(x + 3); 5x – 30 = 2x + 6; 3x = 36; x = 12
  6. 6. Warm-Up/Test Prep: 1. $270.00 is divided among A, B, and C. B gets twice as much money as A. C gets $20 more than B. How much does each receive? 2. Andy is 2 times younger than his sister and his father is 25 years older than him. If the total of their ages is 53 years, what is Andy’s age and his father’s age? Other Equations: And Finally..
  7. 7. Class Work Work independently or in pairs All Problems You Must Show Each Step for Every Problem including checking your answer. Example: x + 5 = - 7 x = -7 - 5 x = - 12 -12 + 5 = - 7
  8. 8. Class Work: Handout: 8 Questions, All
  9. 9. This has Been Equations Week!! All Equations, All the time AndMore!!!! Translating, Solving, Writing

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