# Simplify. (a6b7)6

All work must be shown for each problem

Must be in APA format

Must be done by 02/23/2014 by 12pm EST.

1.      Simplify.     (a6b7)6

2.      Simplify.

3.      Classify the following as a monomial, binomial or trinomial, where possible.

4.      Classify the following as a monomial, binomial or trinomial, where possible.

4x2 – 3xy + y2

5.      Classify the following as a monomial, binomial or trinomial, where possible.

y7 + y6 + 8y5+ 2

6.      Write in descending order and give the degree.            7x3 + 10x4 + 10

7.      Evaluate –x2 – 10x – 6 for x = 3.

8.      True or False?     The degree of a trinomial is never 4.

9.      Evaluate (assume x does not equal 0).   8x0

10.    Write using positive exponents and simplify, if possible.    5–3

13.    Express the number in scientific notation.  The diameter of Neptune: 49,600,000 m

14.    Perform the indicated calculations.  Write your result in scientific notation.

15.    The distance from a star to a planet is 7.4 · 1018 m.  How long does it take light, traveling at 1016 m/year, to travel from the star to the planet?

16.    Add 6m2 – 2m – 4 and 10m2 + 3m – 6.

17.    Remove the parentheses and simplify.     7y – (–10y – 9x)

18.    Subtract 4d2 + 9d – 10 from 10d2 – 3d + 7.

19.    Perform the indicated operations.  [(6y2 + 2y – 2) – (–y2 – 10y + 2)] – (–4y2 + 3y + 3)

20.    A census study shows that the population from 1990 to 1998 of the only large town in a certain county can be modeled by the formula 102t2 – 225t + 3090 where t = 0 represents the year 1990 and that over the same years, the population of the surrounding county (not including the town) can be modeled by the formula 125t2 + 72t + 4978 where t = 0 represents the year 1990.  Find a model for the total population of the county during the years 1990 to 1997.

21.    Multiply.    –6x(–4x – 7)

22.    Multiply.     (5m – 3)(4m + 7)

23.    Multiply.     (–4x – 2)2

24.    Divide.

25.    Divide.

26.    Write 7.7×10^8 in standard notation.

27.    Evaluate 4x^0+5

28.    Simplify and write using positive exponents.  (-6)^-2

29.    Simplify x^-7/y^-2

30.    Multiply (x-9)(x+9)

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