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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.
Simplify.
(a6b7)6
2.
Simplify.
 y3 
 5
z 
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?
9.
Evaluate (assume x does not equal 0). 8x0
10.
Write using positive exponents and simplify, if possible.
11.
Simplify and write your answer with only positive exponents.
m5
m 20
Simplify. Write your answer with only positive exponents.
r 
r r 
1.
5
The degree of a trinomial is never 4.
5–3
3
12.
vw2
2
3
–5
–4
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 108 5.4 103 
 2.7 10  2 10 
14
15.
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.
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.
50 x3 – 70 x 2
10 x
25.
Divide.
x 4 – 10 x 2 + 31
x2 – 5
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)
7y – (–10y – 9x)