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Algebra Problems © 2007 Herbert I. Gross Set 6 By Herb I. Gross and Richard A. Medeiros next

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Page 1: Algebra Problems… Algebra Problems… © 2007 Herbert I. Gross Set 6 By Herb I. Gross and Richard A. Medeiros next

Algebra Problems…

Algebra Problems…

© 2007 Herbert I. Gross

Set 6By Herb I. Gross and Richard A. Medeiros

next

Page 2: Algebra Problems… Algebra Problems… © 2007 Herbert I. Gross Set 6 By Herb I. Gross and Richard A. Medeiros next

The following five problems are designed to help you make sure that you have internalized the material in this presentation. We suggest that you treat these problems as if they were a test.

© 2007 Herbert I. Gross

After you have worked on these problems check your answers against the ones that are given.

Then read through our solutions andcommentary in the Problem/Solution

PowerPoint Presentation .

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Page 3: Algebra Problems… Algebra Problems… © 2007 Herbert I. Gross Set 6 By Herb I. Gross and Richard A. Medeiros next

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Which number is greater and by how much

210 or 103?

Problem #1

© 2007 Herbert I. Gross

Page 4: Algebra Problems… Algebra Problems… © 2007 Herbert I. Gross Set 6 By Herb I. Gross and Richard A. Medeiros next

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Knowing that 23 = 8, find the value of n for which

84 = 2n.

Problem #2

© 2007 Herbert I. Gross

Page 5: Algebra Problems… Algebra Problems… © 2007 Herbert I. Gross Set 6 By Herb I. Gross and Richard A. Medeiros next

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Knowing than 2 + 8 = 10 whenever 2, 8, and 10

modify the same noun, for what value of n does 2(105) + 8(10)5 = 10n?

Problem #3

© 2007 Herbert I. Gross

Page 6: Algebra Problems… Algebra Problems… © 2007 Herbert I. Gross Set 6 By Herb I. Gross and Richard A. Medeiros next

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a. Between what two consecutive whole number

values for n is it truethat (1.14)n = 2?

Problem #4

© 2007 Herbert I. Gross

Page 7: Algebra Problems… Algebra Problems… © 2007 Herbert I. Gross Set 6 By Herb I. Gross and Richard A. Medeiros next

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b. To the nearest year how long will it take for $30,000

to double in value if it is invested at an interest rate

of 14% compounded annually.

Problem #4

© 2007 Herbert I. Gross

Page 8: Algebra Problems… Algebra Problems… © 2007 Herbert I. Gross Set 6 By Herb I. Gross and Richard A. Medeiros next

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a. You invest $10,000 at an interest rate of 8%

compounded annually. To the nearest dollar, how

much will the investment be worth in 5 years?

Problem #5

© 2007 Herbert I. Gross

Page 9: Algebra Problems… Algebra Problems… © 2007 Herbert I. Gross Set 6 By Herb I. Gross and Richard A. Medeiros next

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b. To the nearest dollar, how much money must you invest

now at a 8% rate of interest compounded annually if you

want the value of theinvestment to be $10,000 five

years from now?

Problem #5

© 2007 Herbert I. Gross