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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

 

 

 

11.    Simplify and write your answer with only positive exponents.

 

 

 

12.    Simplify.  Write your answer with only positive exponents.    

 

 

 

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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