Math3
danel.13
math3.rtf[INSERT TITLE HERE] 2
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].
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.
5
3
5
y
z
æö
ç÷
èø
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.
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.
5
20
m
m
12. Simplify. Write your answer with only positive exponents.
(
)
(
)
–5
3
–4
3
r
rr
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.
(
)
(
)
(
)
(
)
83
1415
8105.410
2.710210
´´
´´
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.
32
50–70
10
xx
x
25. Divide.
42
2
– 10+ 31
– 5
xx
x
26. Write 7.7x10^8 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)
