Math 3

1) Discuss one topic that you struggled with in this homework. Be specific. Use a specific problem from the homework assignment or text and give as much of the solution process as you can. If you choose this option make sure you cover all three parts: several sentences on what you found confusing, a specific problem which was confusing, and your solution process up until where you got stuck. “I have no idea how to start” is not a solution process.(2) Discuss one example of 
a current homework assignment 
arising in either your profession or your hobby of interest. Make sure your example is detailed and includes specific NUMERICAL examples. Your response should be a paragraph or more.

  

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Running head:

[INSERT TITLE HERE]

[INSERT TITLE HERE]

Student Name

Allied American University

Author Note

This paper was prepared for [INSERT COURSE NAME], [INSERT COURSE
ASSIGNMENT] taught by [INSERT INSTRUCTOR’S NAME].

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Directions: Please show all of your work for each problem. If applicable, you may find
Microsoft Word’s equation editor helpful in creating mathematical expressions in Word. There
is a tutorial on using this equation editor in Module 1 Lecture Notes. You also have the option of
hand writing your work and scanning it.

1. Simplify. (a6b7)6

2. Simplify.
53

5

y
z

 
 
 

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

2

2
vw

−

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

4×2 – 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. 7×3 + 10×4 + 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). 8×0

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

11. Simplify and write your answer with only positive exponents.
5

20

m
m

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

–53

–43

r

r r

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.

( )( )
( )( )

8 3

14 15

8 10 5.4 10

2.7 10 2 10

× ×

× ×

15. The distance from a star to a planet is 7.4 • 1018 m. How long does it take light, traveling

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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.
3 250 – 70
10

x x
x

25. Divide.
4 2

2

– 10 + 31
– 5

x x
x

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)