The number n satisfies the n What is the value of n A205 B 305

The number n satisfies the n what is the value of n

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The numbernsatisfies the equation80 +125 =n. What is the value ofn? (A)205(B)305(C)405(D)500(E)1000 2010 AMC 10 B, Problem #6 2010 AMC 12 B, Problem #4 “Note that 80 = 4 5 and 125 = 5 5 .” Solution Answer (C): Simplifying gives 80 + 125 = 4 5 + 5 5 = 9 5 = 405 . Hence n = 405 . Difficulty: Medium-easy NCTM Standard: Number and Operations Standard for Grades 9–12: understand numbers, ways of representing numbers, relationships among numbers, and number systems.
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The square ofxis 16 larger than the square ofy, andxis 2 larger thany. What is the productxy? 2010 AMC 10 B, Problem #7“Note thatx2y2= (xy)(x+y) = 16.” Difficulty: Medium-easy NCTM Standard: Algebra Standard for Grades 9–12: write equivalent forms of equations, inequalities, and systems of equations and solve them with fluency-mentally or with paper and pencil in simple cases and using technology in all cases.
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The area of triangleEBDis one third of the area of345triangleABC. SegmentDEis perpendicularto segmentAB. What isBD?ABCDE345(A)43(B)5(C)94(D)433(E)522010 AMC 10 B, Problem #8“The area ofABCis12·3·4 = 6.” Standard: Geometry Standard for Grades 9–12: analyze properties and determine attributes of two- and three-dimensional objects.
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If a rectangle’s width is increased by 3, the rectanglebecomes a square and the area of the rectangle isincreased by 54.What is the area of the originalrectangle? (A)90(B)150(C)180(D)225(E)270 2010 AMC 10 B, Problem #9“Letxandybe the width and length of the originalrectangle, respectively. Form an equation to show thedifference in areas.” Standard: Geometry Standard for Grades 9–12: analyze properties and determine attributes of two- and three-dimensional objects.
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