Presentation on theme: "Warm up Factor the expression. 10x – 5x2 ANSWER 5x (2 – x)"— Presentation transcript:
1Warm up 1. 2. Factor the expression. 10x – 5x2 ANSWER 5x (2 – x)
23. 4. Lesson 8.4, For use with pages 573-580 Factor the expression. ANSWER(x – 5)(x2 + 5x + 25)4.What is the volume and surface area of a cardboard shipping carton that measures 15 inches by 18 inches by 20 inches?ANSWER5400 in.3, 1860 in.2
98.5 – Adding and Subtracting Rational Expressions
10Add numerators and simplify result. EXAMPLE 1Add or subtract with like denominatorsPerform the indicated operation.74x+3a.2xx + 6–5b.SOLUTION74x+3a.=7 + 34x104x=52x=Add numerators and simplify result.2xx + 65–b.x + 62x – 5=Subtract numerators.
11Subtract numerators and simplify results . GUIDED PRACTICEfor Example 1Perform the indicated operation and simplify.a.712x+5=7 – 512x=212x=16xSubtract numerators and simplify results .b.23x2+1=2 + 13x2=33x2=1x2Add numerators and simplify results.c.4xx–2–x=4x–xx–2=3xx–2=3x3x – 2Subtract numerators.
12EXAMPLE 2Find a least common multiple (LCM)Find the least common multiple of 4x2 –16 and 6x2 –24x + 24.Factor each polynomial. Write numerical factors as products of primes.
13EXAMPLE 3Add with unlike denominatorsAdd:9x27+x3x2 + 3xSOLUTION
22EXAMPLE 5Simplify a complex fraction (Method 1)PhysicsLet f be the focal length of a thin camera lens, p be the distance between an object being photographed and the lens, and q be the distance between the lens and the film. For the photograph to be in focus, the variables should satisfy the lens equation below. Simplify the complex fraction.Lens equation: f1pq+=
23Multiply numberator and denominator by the LCD GUIDED PRACTICEfor Examples 5 and 6x63–571011.x63–5710x63–571030=Multiply numberator and denominator by the LCD– 5x3 (2x – 7)=Simplify