Name
Practice CFor use with pages 502-508
Evaluate the exPression.
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Simplify the expression. Write your allswer using only
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18.
fTell'whether the statement is frue ot false for all nonzero vah.les of a andb. If it is .false, give a counterexample.
a-s I_:-a-6 a
Guitar The world's smallest gurtar is only 10-5 meter talt. An average guitar isabout 100 meter tall. How many times taller is an average guitar than the world'ssmallest guitar?
Knitting Needles A size 1 knitting needle has a diameter of about 4-1 centimeterand a size 8 knitting needle has a diameter of about 2-1 centimeter.
a. How many times larger is the diameter of a size 8 needle than the diameter of asize I needle?
b. .Suppose that each needle is 14 inches long. Write expressions for theapproximate vqlume of each size of lnitting needle. Use the formula for thevolume of a cylinder V: r*h.
c. How many times larger is the approximate volume of a size 8 needle than theapproximate volume of a size I needle?
d. Are yonr approximations in part (b) overestimates or underestimates? Explainyour reasoning.
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Algebra tChapter 8 Hesource Book 29
Name
Practice BFor use with pages 502-508
t
7.
10.
Evaluate the exPression,
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4; 50/r\-2\a/
i0-2. 10-3
l0-3
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Sinaplify the expression. Write your answer uslng only positlve exporlents.
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zz. 2=y-+
25. Paper A sheet of67-pound paper has a ihickness of 100-l inch.
a. write and evaluate an expression for the total thickness of 5 sheets of67-pound paper.
b. Write and evaluate an expression for the total thickness of 23 sheets of67-pound paper.
Frogs A frog egg cwrently has a radius of 5-1 centimeter. Write an expressionusing positive exponents for the volume of the frog egg. Use the formula for the
volume of a sphere Y = tnf .
Metric System The metric system has names for very small lengths.
a. One micrometer is i03 times the length of one nanometer. One nanometer is10-9 meter. Write one micrometer in meters.
b. One femtometer is 101 times the length of one attometer. One attometer is10-18 meter. Write one femtometer iri meters.
c. One centimeter is 10i0 times the length of one picometer. One picometer is10-12 meter. Write one centimeter in meters.
Algebra tChapter B Besource Book28