Name:
College ID:
Thomas Edison State College
College Algebra (MAT-121)
Section no.:
Semester and year:
Written Assignment 1
Answer all assigned exercises, and show all work.
1.
Let set A =
12
5
1
6,
,
,
3, 0,
,1, 2 , 3,
12
4
8
4
.
List all the elements of A that
belong to the set of rational numbers.
(See section R.2, Example 1.)
[2 points]
-6, -12/4, -5/8, 0, 1, 3
2.
Evaluate each expression.
(See section R.2, Example 3.)
[4 points]
2.
9 3
16
4
27- 4=23
3.
4
)
2
)(
3
(
)
5
(
6
-30 - (-48) = 18
3.
Evaluate each expression for
p
= –4,
q
= 8, and
r
= –10.
(See section R2, Example
4.)
[4 points]
4.
r
q
r
2
3
3(-10) / 8 - (2 /-10)
-3.75 - (-.2)
=-3.55

5.
2
2
5
4
q
p
r
q
8/4 - (-10)/5
2 - (-2)
4
-4/2 + 8/2
-2+4
2
4 / 2
= 2
Answer= 2
4.
Use the distributive property to rewrite the sum as a product.
(See section R.2,
Example 6.)
[2 points]
x
x
10
15
15x – 10x = (15 – 10)
=5x(3-2)
x = 5x
5.
Let
x
= –4 and
y
= 2. Evaluate each expression.
(See section R.2, Example 9.)
[4
points]
6.
x
y
5
|-5y + -4 |
|-10+-4 |
|-14 |
14
7.
x
y
x
2
|-4| + |2| / -|-4|
|4| + 4 / -4|
|8/-4|
-2

6.
Simplify the expression. Assume variables represent nonzero real numbers.
(See
section R.3, Examples 1–3.)
[2 points]
3
4
0
2
y
x
-(2^3 x^0*3 y^12)
-8y^12
7.
Identify the expression as a
polynomial
or
not a polynomial
. If a polynomial, give
the degree and identify it as a
monomial, binomial, trinomial,
or
none of these.
(See section R.3, Example 4.)
[2 points]
5
4
y
Polynomial
Monomial
The degree is 5
8. Find the sum or difference.
(See section R.3, Example 5.)
[2 points]
1
3
4
2
3
8
2
2
3
3
x
x
x
x
x
x

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