Six Sigma 8.5 Rational Expressions with Like Denominators CORD Math Mrs. Spitz Fall 2006.

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Presentation transcript:

Six Sigma 8.5 Rational Expressions with Like Denominators CORD Math Mrs. Spitz Fall 2006

Six Sigma Objective Add and subtract rational expressions with like denominators.

Six Sigma Upcoming 8.5 Tuesday/Wednesday – Skip Thursday 10/ Friday 10/ Monday 10/ Tuesday/Wed Chapter 8 Review Wed/Thur Chapter 8 Test Friday

Six Sigma Assignment Pg. 324 #4-41 all Midchapter Review pg. 325 #1-11

Six Sigma Introduction To add or subtract fractions with like denominators, you add or subtract the numerators. Then you write the sum or difference over the common denominator. You can use these same methods to add or subtract rational expressions.

Six Sigma Ex. 1: Find Since x + 2 is the common denominator, add the numerators.

Six Sigma Ex. 2: Find Add the additive inverse of a - 3. Distributive Property Remember when subtracting rational expressions to add the additive inverse of the second expression.

Six Sigma Express in simplest form. When adding or subtracting fraction, sometimes the result can be expressed in simplest form. The GCF of 4 and 8 is 4.The GCF of 6 and 16 is 2.

Six Sigma Ex. 3: Find Since 3n+4 is the common denominator, subtract the numerators. Combine like terms. Factor out a 2 out of the numerator and cancel 3n+4 from both numerator and denominator.

Six Sigma Ex. 4: Find Rewrite 2 – x as x – 2 by multiplying by -1. Remember Simplify and combine like terms.

Six Sigma Example 5: Application Find the measure of the perimeter of the rectangle.

Six Sigma Ex. 5: Find the measure of the perimeter of the rectangle. ← Perimeter formula for rectangle. ← Substitute values. ← Distributive Property ← Combine like terms ← Factor out 2 as common factor and cancel terms that are same in numerator and denominator. The measure of the perimeter is:

Six Sigma Upcoming Midchapter Quiz – 20 points apiece so I can see how you are doing. Skipping Rational expression with Unlike Denominators. 8.8 Mixed expressions and complex fractions. 8.9 Solving Rational Equations 8.10 Application: Formulas. Chapter 8 Review Chapter 8 Exam Binder Check. Make sure you have all notes from each section, or download off the web. You must recopy to get full credit.